diff --git a/Sources/SpectroEDX/Proposer/ElementProposer.swift b/Sources/SpectroEDX/Proposer/ElementProposer.swift
index aa1087e..a3b237c 100644
--- a/Sources/SpectroEDX/Proposer/ElementProposer.swift
+++ b/Sources/SpectroEDX/Proposer/ElementProposer.swift
@@ -18,7 +18,8 @@
 //      less than 100.
 //   Tiers: an element found from its own peak, unambiguous, needed by the final fit, Si above 0.2 % of the counts and its peak in a band
 //   where the background is healthy (data over model 0.8 to 1.25 off the lines) is proposed; every other found or tested element is a
-//   candidate with `possibleReason` (or `familyNote` for the confirmation rule) and is never proposed.
+//   candidate with `possibleReason` (or `familyNote` for the confirmation rule) and is never proposed. A candidate whose peak went to a
+//   pile-up column that the final fit keeps at or above its L_D is explained (`explainedBySumPeak`), not possible.
 //
 //  What went (0.11.0): the all-candidate joint fit with its L_C pruning and single-candidate forward step, and the flank-misfit factor that
 //  scaled a candidate's sigma_0 by its neighbour's misfit (x33 for Mg beside Al on a measured Al-alloy map, where Mg's own window fitted to
@@ -61,6 +62,12 @@ public nonisolated struct ElementCandidate: Equatable, Sendable {
     /// Found by an L or M line whose confirmation line (K for L, L for M) lies outside the fitted range or too close to the beam energy: the
     /// confirmation rule could not run, so the find is possible only (`possibleReason` says so). A consumer lists these as "uncorroborated".
     public let unconfirmable: Bool
+    /// The label of the modelled sum peak that took the residual peak this element was tested on ("Al+Al sum"), when that sum
+    /// column stays in the final fit at or above its own L_D: the peak is pile-up, explained, and the element is not a "possible"
+    /// find (Ar K-alpha and Ag L-alpha under Al+Al in an Al alloy). nil otherwise. One spectrum cannot separate a real line within the
+    /// detector resolution of the sum from the sum itself (a planted Ar K-alpha of half the sum's counts is still explained); such a
+    /// candidate keeps its sum-peak conflict and its two-beam-current remedy, so the question stays visible.
+    public let explainedBySumPeak: String?
 
     /// net >= L_D: the proposer's bar.
     public var aboveDetectionLimit: Bool { net >= detectionLimit }
@@ -75,11 +82,12 @@ public nonisolated struct ElementCandidate: Equatable, Sendable {
     public init(element: String, group: String, energyKeV: Double, net: Double, sigma: Double, sigmaZero: Double,
                  criticalLevel: Double, detectionLimit: Double, conflicts: [LineConflict],
                  suggestedRole: QuantificationMethod.ElementRole, holeRegionNote: String?, misfit: Double, familyNote: String? = nil,
-                 possibleReason: String? = nil, unconfirmable: Bool = false) {
+                 possibleReason: String? = nil, unconfirmable: Bool = false, explainedBySumPeak: String? = nil) {
         self.element = element; self.group = group; self.energyKeV = energyKeV; self.net = net; self.sigma = sigma
         self.sigmaZero = sigmaZero; self.criticalLevel = criticalLevel; self.detectionLimit = detectionLimit
         self.conflicts = conflicts; self.suggestedRole = suggestedRole; self.holeRegionNote = holeRegionNote; self.misfit = misfit
         self.familyNote = familyNote; self.possibleReason = possibleReason; self.unconfirmable = unconfirmable
+        self.explainedBySumPeak = explainedBySumPeak
     }
 }
 
@@ -111,7 +119,13 @@ public nonisolated struct ProposalResult: Sendable {
     public var proposed: [ElementCandidate] { candidates.filter { $0.isProposed && !$0.hasSumPeakQuestion } }
     /// At or above L_D but sitting on a pile-up energy of the detected parents: "sum peak or this element?", not a finding.
     public var sumPeakQuestions: [ElementCandidate] { candidates.filter { $0.isProposed && $0.hasSumPeakQuestion } }
-    public var possible: [ElementCandidate] { candidates.filter { $0.aboveCriticalLevel && !$0.isProposed && $0.familyNote == nil } }
+    /// Above L_C, not proposed, not withheld and not explained by a modelled sum peak.
+    public var possible: [ElementCandidate] {
+        candidates.filter { $0.aboveCriticalLevel && !$0.isProposed && $0.familyNote == nil && $0.explainedBySumPeak == nil }
+    }
+    /// Tested on a residual peak that a modelled, detected sum peak explains better (`explainedBySumPeak` names it): the answer to
+    /// "sum peak or this element?" is the sum peak. Shown as explained pile-up, never as a possible element.
+    public var explainedBySumPeaks: [ElementCandidate] { candidates.filter { $0.explainedBySumPeak != nil } }
     /// At or above L_D but withheld by the family-consistency rule (`familyNote` says why).
     public var withheld: [ElementCandidate] { candidates.filter { $0.familyNote != nil } }
     /// The uncorroborated tier: found by an L or M line whose confirmation line the fitted range or the beam cannot hold (`unconfirmable`),
@@ -306,6 +320,8 @@ public nonisolated struct ElementProposer: Sendable {
         /// An L or M nomination whose confirmation line lies outside the fitted range or above half the beam: it may join, but stays possible.
         var unconfirmable: String?
         var pass: Pass?
+        /// The sum column (its id, "sum:Al+Al") that took the peak this trial was last tested on; nil when an element took it.
+        var lostToSum: String? = nil
     }
 
     /// An element the loop added to the model.
@@ -558,6 +574,10 @@ public nonisolated struct ElementProposer: Sendable {
             for e in eligible where e.key != best.key && !e.key.hasPrefix("sum:") {
                 trials[e.key]?.reason = String(format: "The peak at %.3f keV went to %@, which explains it better (gain there %.0f against %.0f).",
                                                ep, best.key.hasPrefix("sum:") ? (sumInfo[best.key]?.label ?? best.key) : best.key, best.peakGain, e.peakGain)
+                // Explained only by a clear loss: outside the ambiguity margin at the peak, and no more total gain than the sum
+                // (a real line under the sum, Ar K-alpha 16 eV from Al+Al, gains more through its other lines). A tie stays possible.
+                let clear = best.peakGain - e.peakGain >= t.ambiguityGain && e.gain <= best.gain
+                trials[e.key]?.lostToSum = best.key.hasPrefix("sum:") && clear ? best.key : nil
             }
             model = p.model.groups
             fit = p
@@ -674,9 +694,14 @@ public nonisolated struct ElementProposer: Sendable {
                 return c.kind != .sumPeak || (c.requires.compactMap { parentNets[$0] }.min() ?? 0) * pairShare * sumPeakFraction >= net
             }
         }
+        // The sum columns of the final fit at or above their own L_D: a peak one of them took is explained pile-up.
+        var detectedSums: [String: String] = [:]
+        for (gi, g) in report.model.groups.enumerated() where g.element == "sum" {
+            if let st = stat(report, gi), st.net >= st.ld { detectedSums[g.id] = sumInfo[g.id]?.label ?? g.id }
+        }
         var candidates: [ElementCandidate] = []
         func append(_ el: String, group: String, stat st: Stat, familyNote: String? = nil, possibleReason: String? = nil,
-                    unconfirmable: Bool = false) throws {
+                    unconfirmable: Bool = false, explainedBySumPeak: String? = nil) throws {
             let alpha = XRayLines.line(group)?.energy ?? 0
             var note: String?
             if context.gridElements.contains(el) {
@@ -696,7 +721,7 @@ public nonisolated struct ElementProposer: Sendable {
                 element: el, group: group, energyKeV: alpha, net: st.net, sigma: st.sigma, sigmaZero: st.sigmaZero,
                 criticalLevel: st.lc, detectionLimit: st.ld, conflicts: conflicts(el, group, alpha, st.net),
                 suggestedRole: context.quantifyByDefault.contains(el) ? .quantify : .fitOnly, holeRegionNote: note, misfit: 1,
-                familyNote: familyNote, possibleReason: possibleReason, unconfirmable: unconfirmable))
+                familyNote: familyNote, possibleReason: possibleReason, unconfirmable: unconfirmable, explainedBySumPeak: explainedBySumPeak))
         }
         /// The numbers of a group whose limit cannot be stated: its area, no limit (never proposed).
         func unstated(_ p: Pass, _ gi: Int) -> Stat { Stat(net: p.result.values[gi], sigma: 0, sigmaZero: 0, lc: .infinity, ld: .infinity) }
@@ -730,7 +755,8 @@ public nonisolated struct ElementProposer: Sendable {
             let st = tr.stat ?? tr.pass.flatMap { p in p.model.groups.firstIndex { $0.id == tr.group }.map { unstated(p, $0) } }
                 ?? Stat(net: 0, sigma: 0, sigmaZero: 0, lc: .infinity, ld: .infinity)
             if let c = tr.confirmation { try append(el, group: tr.group, stat: st, familyNote: c) }
-            else { try append(el, group: tr.group, stat: st, possibleReason: tr.reason ?? "Tested but not added.") }
+            else { try append(el, group: tr.group, stat: st, possibleReason: tr.reason ?? "Tested but not added.",
+                              explainedBySumPeak: tr.lostToSum.flatMap { detectedSums[$0] }) }
         }
         for f in overlapFinds where !candidates.contains(where: { $0.element == f.element }) {
             if let st = f.trial.stat { try append(f.element, group: f.trial.group, stat: st, possibleReason: f.trial.reason) }
@@ -759,6 +785,10 @@ public nonisolated struct ElementProposer: Sendable {
             }
             notes += candidates.compactMap { c in c.familyNote.map { "Confirmation withheld \(c.element): \($0)" } }
         }
+        for label in Set(candidates.compactMap(\.explainedBySumPeak)).sorted() {
+            let els = candidates.filter { $0.explainedBySumPeak == label }.map(\.element)
+            notes.append("Explained as pile-up: \(els.joined(separator: ", ")) lost the peak they were tested on to the \(label) column, which the final fit keeps at or above its detection limit; they are not possible elements.")
+        }
         if overlapCheck {
             notes.append(String(format: "Overlap check (validation: none): every element whose lines all sit under modelled lines was fitted once with the settled model; %d reached L_D with a gain of at least %.0f and are possible only.", overlapFinds.count, t.minimumGain))
         }
diff --git a/Sources/SpectroEDX/Proposer/ProposalRules.swift b/Sources/SpectroEDX/Proposer/ProposalRules.swift
index 5bcef4d..554a055 100644
--- a/Sources/SpectroEDX/Proposer/ProposalRules.swift
+++ b/Sources/SpectroEDX/Proposer/ProposalRules.swift
@@ -84,7 +84,8 @@ public nonisolated struct ProposalRules: Equatable, Sendable {
     /// Pure: the same result and rules always give the same picks. `resolutionMnKaEV` sets the FWHM that R1's distance is counted in
     /// (the room's detector width; the harness uses the app's default, 130 eV).
     public func apply(_ r: ProposalResult, resolutionMnKaEV: Double = 130) -> RuledProposal {
-        let proposedAll = r.candidates.filter(\.aboveDetectionLimit)   // held and withheld candidates included: a K peak is a K peak
+        // Held and withheld candidates included: a K peak is a K peak. Not one explained by a sum peak: that peak is pile-up.
+        let proposedAll = r.candidates.filter { $0.aboveDetectionLimit && $0.explainedBySumPeak == nil }
         func z(_ element: String) -> Int { XRayLines.lines(of: element).first?.atomicNumber ?? 0 }
         func family(_ group: String) -> XRayFamily { XRayLines.line(group)?.family ?? .K }
         func name(_ group: String) -> String { UnlistedLineChecker.displayName(group) }
diff --git a/Tests/SpectroCoreTests/Fixtures/spectro-golden/eds-proposer-sim.txt b/Tests/SpectroCoreTests/Fixtures/spectro-golden/eds-proposer-sim.txt
index 9ee24ca..d9cccd9 100644
--- a/Tests/SpectroCoreTests/Fixtures/spectro-golden/eds-proposer-sim.txt
+++ b/Tests/SpectroCoreTests/Fixtures/spectro-golden/eds-proposer-sim.txt
@@ -27,6 +27,7 @@ region2(beta'' 300 counts/px).proposal.candidates[0].misfit = 3ff0000000000000 1
 region2(beta'' 300 counts/px).proposal.candidates[0].familyNote = nil
 region2(beta'' 300 counts/px).proposal.candidates[0].possibleReason = "The peak at 2.737 keV went to Al+Mg sum, which explains it better (gain there 33387 against 29635)."
 region2(beta'' 300 counts/px).proposal.candidates[0].unconfirmable = false
+region2(beta'' 300 counts/px).proposal.candidates[0].explainedBySumPeak = "Al+Mg sum"
 region2(beta'' 300 counts/px).proposal.candidates[1].element = "Ar"
 region2(beta'' 300 counts/px).proposal.candidates[1].group = "Ar_Ka"
 region2(beta'' 300 counts/px).proposal.candidates[1].energyKeV = 4007a95e9e1b089a 2.9577
@@ -53,6 +54,7 @@ region2(beta'' 300 counts/px).proposal.candidates[1].misfit = 3ff0000000000000 1
 region2(beta'' 300 counts/px).proposal.candidates[1].familyNote = nil
 region2(beta'' 300 counts/px).proposal.candidates[1].possibleReason = "The peak at 3.227 keV went to Al+Si sum, which explains it better (gain there 212982 against 140417)."
 region2(beta'' 300 counts/px).proposal.candidates[1].unconfirmable = false
+region2(beta'' 300 counts/px).proposal.candidates[1].explainedBySumPeak = "Al+Si sum"
 region2(beta'' 300 counts/px).proposal.candidates[2].element = "In"
 region2(beta'' 300 counts/px).proposal.candidates[2].group = "In_La"
 region2(beta'' 300 counts/px).proposal.candidates[2].energyKeV = 400a4bc6a7ef9db2 3.2869999999999999
@@ -68,6 +70,7 @@ region2(beta'' 300 counts/px).proposal.candidates[2].misfit = 3ff0000000000000 1
 region2(beta'' 300 counts/px).proposal.candidates[2].familyNote = nil
 region2(beta'' 300 counts/px).proposal.candidates[2].possibleReason = "The peak at 3.477 keV went to Si+Si sum, which explains it better (gain there 24509 against 18445)."
 region2(beta'' 300 counts/px).proposal.candidates[2].unconfirmable = false
+region2(beta'' 300 counts/px).proposal.candidates[2].explainedBySumPeak = "Si+Si sum"
 region2(beta'' 300 counts/px).proposal.candidates[3].element = "Sn"
 region2(beta'' 300 counts/px).proposal.candidates[3].group = "Sn_La"
 region2(beta'' 300 counts/px).proposal.candidates[3].energyKeV = 400b8d4fdf3b645a 3.444
@@ -94,6 +97,7 @@ region2(beta'' 300 counts/px).proposal.candidates[3].misfit = 3ff0000000000000 1
 region2(beta'' 300 counts/px).proposal.candidates[3].familyNote = nil
 region2(beta'' 300 counts/px).proposal.candidates[3].possibleReason = "The peak at 3.477 keV went to Si+Si sum, which explains it better (gain there 24509 against 16177)."
 region2(beta'' 300 counts/px).proposal.candidates[3].unconfirmable = false
+region2(beta'' 300 counts/px).proposal.candidates[3].explainedBySumPeak = "Si+Si sum"
 region2(beta'' 300 counts/px).proposal.candidates[4].element = "Pd"
 region2(beta'' 300 counts/px).proposal.candidates[4].group = "Pd_La"
 region2(beta'' 300 counts/px).proposal.candidates[4].energyKeV = 4006b573eab367a1 2.8386
@@ -109,6 +113,7 @@ region2(beta'' 300 counts/px).proposal.candidates[4].misfit = 3ff0000000000000 1
 region2(beta'' 300 counts/px).proposal.candidates[4].familyNote = nil
 region2(beta'' 300 counts/px).proposal.candidates[4].possibleReason = "The peak at 2.737 keV went to Al+Mg sum, which explains it better (gain there 33387 against 5175)."
 region2(beta'' 300 counts/px).proposal.candidates[4].unconfirmable = false
+region2(beta'' 300 counts/px).proposal.candidates[4].explainedBySumPeak = "Al+Mg sum"
 region2(beta'' 300 counts/px).proposal.candidates[5].element = "Ag"
 region2(beta'' 300 counts/px).proposal.candidates[5].group = "Ag_La"
 region2(beta'' 300 counts/px).proposal.candidates[5].energyKeV = 4007e00d1b71758e 2.9843999999999999
@@ -147,6 +152,7 @@ region2(beta'' 300 counts/px).proposal.candidates[5].misfit = 3ff0000000000000 1
 region2(beta'' 300 counts/px).proposal.candidates[5].familyNote = nil
 region2(beta'' 300 counts/px).proposal.candidates[5].possibleReason = "The peak at 3.477 keV went to Si+Si sum, which explains it better (gain there 24509 against 4106)."
 region2(beta'' 300 counts/px).proposal.candidates[5].unconfirmable = false
+region2(beta'' 300 counts/px).proposal.candidates[5].explainedBySumPeak = "Si+Si sum"
 region2(beta'' 300 counts/px).proposal.candidates[6].element = "Cd"
 region2(beta'' 300 counts/px).proposal.candidates[6].group = "Cd_La"
 region2(beta'' 300 counts/px).proposal.candidates[6].energyKeV = 40091205bc01a36e 3.1337999999999999
@@ -162,6 +168,7 @@ region2(beta'' 300 counts/px).proposal.candidates[6].misfit = 3ff0000000000000 1
 region2(beta'' 300 counts/px).proposal.candidates[6].familyNote = nil
 region2(beta'' 300 counts/px).proposal.candidates[6].possibleReason = "The peak at 3.477 keV went to Si+Si sum, which explains it better (gain there 24509 against 4481)."
 region2(beta'' 300 counts/px).proposal.candidates[6].unconfirmable = false
+region2(beta'' 300 counts/px).proposal.candidates[6].explainedBySumPeak = "Si+Si sum"
 region2(beta'' 300 counts/px).proposal.candidates[7].element = "Ru"
 region2(beta'' 300 counts/px).proposal.candidates[7].group = "Ru_La"
 region2(beta'' 300 counts/px).proposal.candidates[7].energyKeV = 400477ced916872b 2.5585
@@ -188,6 +195,7 @@ region2(beta'' 300 counts/px).proposal.candidates[7].misfit = 3ff0000000000000 1
 region2(beta'' 300 counts/px).proposal.candidates[7].familyNote = "Ru Kα (19.28 keV) has a residual peak of 1.7 σ, below the 3 σ its Lα (2.56 keV) needs: not Ru."
 region2(beta'' 300 counts/px).proposal.candidates[7].possibleReason = nil
 region2(beta'' 300 counts/px).proposal.candidates[7].unconfirmable = false
+region2(beta'' 300 counts/px).proposal.candidates[7].explainedBySumPeak = nil
 region2(beta'' 300 counts/px).proposal.candidates[8].element = "Bi"
 region2(beta'' 300 counts/px).proposal.candidates[8].group = "Bi_Ma"
 region2(beta'' 300 counts/px).proposal.candidates[8].energyKeV = 400360aa64c2f838 2.4222000000000001
@@ -203,6 +211,7 @@ region2(beta'' 300 counts/px).proposal.candidates[8].misfit = 3ff0000000000000 1
 region2(beta'' 300 counts/px).proposal.candidates[8].familyNote = "Bi Lα (10.84 keV) has a residual peak of 2.4 σ, below the 3 σ its Mβ (2.53 keV) needs: not Bi."
 region2(beta'' 300 counts/px).proposal.candidates[8].possibleReason = nil
 region2(beta'' 300 counts/px).proposal.candidates[8].unconfirmable = false
+region2(beta'' 300 counts/px).proposal.candidates[8].explainedBySumPeak = nil
 region2(beta'' 300 counts/px).proposal.candidates[9].element = "Cu"
 region2(beta'' 300 counts/px).proposal.candidates[9].group = "Cu_Ka"
 region2(beta'' 300 counts/px).proposal.candidates[9].energyKeV = 402018793dd97f63 8.0478000000000005
@@ -227,6 +236,7 @@ region2(beta'' 300 counts/px).proposal.candidates[9].misfit = 3ff0000000000000 1
 region2(beta'' 300 counts/px).proposal.candidates[9].familyNote = nil
 region2(beta'' 300 counts/px).proposal.candidates[9].possibleReason = nil
 region2(beta'' 300 counts/px).proposal.candidates[9].unconfirmable = false
+region2(beta'' 300 counts/px).proposal.candidates[9].explainedBySumPeak = nil
 region2(beta'' 300 counts/px).proposal.candidates[10].element = "Cl"
 region2(beta'' 300 counts/px).proposal.candidates[10].group = "Cl_Ka"
 region2(beta'' 300 counts/px).proposal.candidates[10].energyKeV = 4004faacd9e83e42 2.6223999999999998
@@ -242,6 +252,7 @@ region2(beta'' 300 counts/px).proposal.candidates[10].misfit = 3ff0000000000000
 region2(beta'' 300 counts/px).proposal.candidates[10].familyNote = nil
 region2(beta'' 300 counts/px).proposal.candidates[10].possibleReason = "The peak at 2.737 keV went to Al+Mg sum, which explains it better (gain there 33387 against 1009)."
 region2(beta'' 300 counts/px).proposal.candidates[10].unconfirmable = false
+region2(beta'' 300 counts/px).proposal.candidates[10].explainedBySumPeak = "Al+Mg sum"
 region2(beta'' 300 counts/px).proposal.candidates[11].element = "K"
 region2(beta'' 300 counts/px).proposal.candidates[11].group = "K_Ka"
 region2(beta'' 300 counts/px).proposal.candidates[11].energyKeV = 400a82a9930be0df 3.3138000000000001
@@ -257,6 +268,7 @@ region2(beta'' 300 counts/px).proposal.candidates[11].misfit = 3ff0000000000000
 region2(beta'' 300 counts/px).proposal.candidates[11].familyNote = nil
 region2(beta'' 300 counts/px).proposal.candidates[11].possibleReason = "The peak at 3.477 keV went to Si+Si sum, which explains it better (gain there 24509 against 337)."
 region2(beta'' 300 counts/px).proposal.candidates[11].unconfirmable = false
+region2(beta'' 300 counts/px).proposal.candidates[11].explainedBySumPeak = "Si+Si sum"
 region2(beta'' 300 counts/px).proposal.candidates[12].element = "Ta"
 region2(beta'' 300 counts/px).proposal.candidates[12].group = "Ta_La"
 region2(beta'' 300 counts/px).proposal.candidates[12].energyKeV = 40204ac083126e98 8.1460000000000008
@@ -272,6 +284,7 @@ region2(beta'' 300 counts/px).proposal.candidates[12].misfit = 3ff0000000000000
 region2(beta'' 300 counts/px).proposal.candidates[12].familyNote = nil
 region2(beta'' 300 counts/px).proposal.candidates[12].possibleReason = "Adding it improves the fit by 13, below the 100 a new line needs."
 region2(beta'' 300 counts/px).proposal.candidates[12].unconfirmable = false
+region2(beta'' 300 counts/px).proposal.candidates[12].explainedBySumPeak = nil
 region2(beta'' 300 counts/px).proposal.candidates[13].element = "Tm"
 region2(beta'' 300 counts/px).proposal.candidates[13].group = "Tm_La"
 region2(beta'' 300 counts/px).proposal.candidates[13].energyKeV = 401cb8a0902de00d 7.1802999999999999
@@ -287,6 +300,7 @@ region2(beta'' 300 counts/px).proposal.candidates[13].misfit = 3ff0000000000000
 region2(beta'' 300 counts/px).proposal.candidates[13].familyNote = nil
 region2(beta'' 300 counts/px).proposal.candidates[13].possibleReason = "Adding it improves the fit by 13, below the 100 a new line needs."
 region2(beta'' 300 counts/px).proposal.candidates[13].unconfirmable = false
+region2(beta'' 300 counts/px).proposal.candidates[13].explainedBySumPeak = nil
 region2(beta'' 300 counts/px).proposal.candidates[14].element = "Hf"
 region2(beta'' 300 counts/px).proposal.candidates[14].group = "Hf_La"
 region2(beta'' 300 counts/px).proposal.candidates[14].energyKeV = 401f989374bc6a7f 7.899
@@ -302,6 +316,7 @@ region2(beta'' 300 counts/px).proposal.candidates[14].misfit = 3ff0000000000000
 region2(beta'' 300 counts/px).proposal.candidates[14].familyNote = nil
 region2(beta'' 300 counts/px).proposal.candidates[14].possibleReason = "Adding it improves the fit by 4, below the 100 a new line needs."
 region2(beta'' 300 counts/px).proposal.candidates[14].unconfirmable = false
+region2(beta'' 300 counts/px).proposal.candidates[14].explainedBySumPeak = nil
 region2(beta'' 300 counts/px).proposal.candidates[15].element = "Pb"
 region2(beta'' 300 counts/px).proposal.candidates[15].group = "Pb_Ma"
 region2(beta'' 300 counts/px).proposal.candidates[15].energyKeV = 4002c467381d7dbf 2.3458999999999999
@@ -317,6 +332,7 @@ region2(beta'' 300 counts/px).proposal.candidates[15].misfit = 3ff0000000000000
 region2(beta'' 300 counts/px).proposal.candidates[15].familyNote = "Pb Lα (10.55 keV) has a residual peak of 2.2 σ, below the 3 σ its Mβ (2.44 keV) needs: not Pb."
 region2(beta'' 300 counts/px).proposal.candidates[15].possibleReason = nil
 region2(beta'' 300 counts/px).proposal.candidates[15].unconfirmable = false
+region2(beta'' 300 counts/px).proposal.candidates[15].explainedBySumPeak = nil
 region2(beta'' 300 counts/px).proposal.candidates[16].element = "Sb"
 region2(beta'' 300 counts/px).proposal.candidates[16].group = "Sb_La"
 region2(beta'' 300 counts/px).proposal.candidates[16].energyKeV = 400cd66cf41f212d 3.6046999999999998
@@ -332,6 +348,7 @@ region2(beta'' 300 counts/px).proposal.candidates[16].misfit = 3ff0000000000000
 region2(beta'' 300 counts/px).proposal.candidates[16].familyNote = nil
 region2(beta'' 300 counts/px).proposal.candidates[16].possibleReason = "Adding it improves the fit by 7, below the 100 a new line needs."
 region2(beta'' 300 counts/px).proposal.candidates[16].unconfirmable = false
+region2(beta'' 300 counts/px).proposal.candidates[16].explainedBySumPeak = nil
 region2(beta'' 300 counts/px).proposal.candidates[17].element = "Er"
 region2(beta'' 300 counts/px).proposal.candidates[17].group = "Er_La"
 region2(beta'' 300 counts/px).proposal.candidates[17].energyKeV = 401bcb5dcc63f141 6.9485999999999999
@@ -347,6 +364,7 @@ region2(beta'' 300 counts/px).proposal.candidates[17].misfit = 3ff0000000000000
 region2(beta'' 300 counts/px).proposal.candidates[17].familyNote = nil
 region2(beta'' 300 counts/px).proposal.candidates[17].possibleReason = "Adding it improves the fit by 2, below the 100 a new line needs."
 region2(beta'' 300 counts/px).proposal.candidates[17].unconfirmable = false
+region2(beta'' 300 counts/px).proposal.candidates[17].explainedBySumPeak = nil
 region2(beta'' 300 counts/px).proposal.candidates[18].element = "Ho"
 region2(beta'' 300 counts/px).proposal.candidates[18].group = "Ho_La"
 region2(beta'' 300 counts/px).proposal.candidates[18].energyKeV = 401ae0f9096bb98c 6.7196999999999996
@@ -362,6 +380,7 @@ region2(beta'' 300 counts/px).proposal.candidates[18].misfit = 3ff0000000000000
 region2(beta'' 300 counts/px).proposal.candidates[18].familyNote = nil
 region2(beta'' 300 counts/px).proposal.candidates[18].possibleReason = "Adding it improves the fit by 1, below the 100 a new line needs."
 region2(beta'' 300 counts/px).proposal.candidates[18].unconfirmable = false
+region2(beta'' 300 counts/px).proposal.candidates[18].explainedBySumPeak = nil
 region2(beta'' 300 counts/px).proposal.candidates[19].element = "Mo"
 region2(beta'' 300 counts/px).proposal.candidates[19].group = "Mo_La"
 region2(beta'' 300 counts/px).proposal.candidates[19].energyKeV = 400258793dd97f63 2.2932000000000001
@@ -389,6 +408,7 @@ region2(beta'' 300 counts/px).proposal.candidates[19].misfit = 3ff0000000000000
 region2(beta'' 300 counts/px).proposal.candidates[19].familyNote = "Mo Kα (17.48 keV) has a residual peak of 1.4 σ, below the 3 σ its Lβ1 (2.39 keV) needs: not Mo."
 region2(beta'' 300 counts/px).proposal.candidates[19].possibleReason = nil
 region2(beta'' 300 counts/px).proposal.candidates[19].unconfirmable = false
+region2(beta'' 300 counts/px).proposal.candidates[19].explainedBySumPeak = nil
 region2(beta'' 300 counts/px).proposal.candidates[20].element = "Tl"
 region2(beta'' 300 counts/px).proposal.candidates[20].group = "Tl_Ma"
 region2(beta'' 300 counts/px).proposal.candidates[20].energyKeV = 40022a9930be0ded 2.2707999999999999
@@ -416,6 +436,7 @@ region2(beta'' 300 counts/px).proposal.candidates[20].misfit = 3ff0000000000000
 region2(beta'' 300 counts/px).proposal.candidates[20].familyNote = "Tl Lα (10.27 keV) has a residual peak of 1.7 σ, below the 3 σ its Mγ (2.57 keV) needs: not Tl."
 region2(beta'' 300 counts/px).proposal.candidates[20].possibleReason = nil
 region2(beta'' 300 counts/px).proposal.candidates[20].unconfirmable = false
+region2(beta'' 300 counts/px).proposal.candidates[20].explainedBySumPeak = nil
 region2(beta'' 300 counts/px).proposal.sumPeaks: array 5
 region2(beta'' 300 counts/px).proposal.sumPeaks[0].label = "Al+Al sum"
 region2(beta'' 300 counts/px).proposal.sumPeaks[0].elements: array 2
@@ -474,7 +495,7 @@ region2(beta'' 300 counts/px).proposal.refused[6].element = "N"
 region2(beta'' 300 counts/px).proposal.refused[6].reason = "Its line at 0.39 keV lies below the proposer's lowest tested line (0.45 keV): under the detector window the continuum is too model-dependent for a net area to be trusted. List it by hand if you know it is there."
 region2(beta'' 300 counts/px).proposal.currie.alpha = 3fa999999999999a 0.050000000000000003
 region2(beta'' 300 counts/px).proposal.currie.beta = 3fa999999999999a 0.050000000000000003
-region2(beta'' 300 counts/px).proposal.notes: array 12
+region2(beta'' 300 counts/px).proposal.notes: array 15
 region2(beta'' 300 counts/px).proposal.notes[0] = "Lines below 0.45 keV are not tested (a measured limit of the continuum model, not a property of the method)."
 region2(beta'' 300 counts/px).proposal.notes[1] = "Identification (validation: none): the residual's peaks at or above 5 σ of its top-hat filter (1.5 × below 1 keV); a candidate joins when Σ(y − μ)²/(μ + (0.01 μ)²) falls by at least 100, 20 % of that at its own lines, with its area at or above Currie L_D (α = β = 0.05, σ₀ from the fit's own variance with it absent) and no line against it; the final fit drops what it does not need (100). Kβ weights from NIST EPQ in this fit."
 region2(beta'' 300 counts/px).proposal.notes[2] = "Fit: least squares, weighted by 1/(y + (0.01 y)²) to decide, least squares, unweighted for the numbers shown; continuum: Kramers×Bernstein(9,5), split at 1.5596 keV (step broadened by the detector resolution); orders chosen on synthetic data; escape peaks: fitted for 1 line group above the Si K edge (1.839 keV); reference shapes: none; 6 residual peaks examined, 38 candidate fits, 41 fits in all."
@@ -484,9 +505,12 @@ region2(beta'' 300 counts/px).proposal.notes[5] = "Confirmation withheld Bi: Bi
 region2(beta'' 300 counts/px).proposal.notes[6] = "Confirmation withheld Pb: Pb Lα (10.55 keV) has a residual peak of 2.2 σ, below the 3 σ its Mβ (2.44 keV) needs: not Pb."
 region2(beta'' 300 counts/px).proposal.notes[7] = "Confirmation withheld Mo: Mo Kα (17.48 keV) has a residual peak of 1.4 σ, below the 3 σ its Lβ1 (2.39 keV) needs: not Mo."
 region2(beta'' 300 counts/px).proposal.notes[8] = "Confirmation withheld Tl: Tl Lα (10.27 keV) has a residual peak of 1.7 σ, below the 3 σ its Mγ (2.57 keV) needs: not Tl."
-region2(beta'' 300 counts/px).proposal.notes[9] = "Look-elsewhere: 38 candidates were tested, so about 0.02 chance passes of the area bar alone are expected; the gain and confirmation bars stand beside it."
-region2(beta'' 300 counts/px).proposal.notes[10] = "Cu_Ka: Si-escape/parent ratio 22.5 % exceeds 5 %: an unmodelled line near the escape energy is likely (the 5 % flag is a sanity bound; the SDD Si escape is about 1 % at Cu Kα)"
-region2(beta'' 300 counts/px).proposal.notes[11] = "a weak line next to Al Kα reads low by ≈ 300 counts per pooled spectrum on synthetic data (cause: the Al Kα incomplete-charge tail, unmodelled until a tail is measured on an Al matrix, `TailEstimate`); unmeasured on real data. Weak-line bias measured on synthetic data: Δ = −270 ± 31 counts at 900 planted Mg Kα (generator A, no tail: continuum–line projection) and −272 ± 23 at 882 (generator S); −325 ± 38 at 3000 (A) and −226 ± 22 at 2899 (S)"
+region2(beta'' 300 counts/px).proposal.notes[9] = "Explained as pile-up: Rh, Pd, Cl lost the peak they were tested on to the Al+Mg sum column, which the final fit keeps at or above its detection limit; they are not possible elements."
+region2(beta'' 300 counts/px).proposal.notes[10] = "Explained as pile-up: Ar lost the peak they were tested on to the Al+Si sum column, which the final fit keeps at or above its detection limit; they are not possible elements."
+region2(beta'' 300 counts/px).proposal.notes[11] = "Explained as pile-up: In, Sn, Ag, Cd, K lost the peak they were tested on to the Si+Si sum column, which the final fit keeps at or above its detection limit; they are not possible elements."
+region2(beta'' 300 counts/px).proposal.notes[12] = "Look-elsewhere: 38 candidates were tested, so about 0.02 chance passes of the area bar alone are expected; the gain and confirmation bars stand beside it."
+region2(beta'' 300 counts/px).proposal.notes[13] = "Cu_Ka: Si-escape/parent ratio 22.5 % exceeds 5 %: an unmodelled line near the escape energy is likely (the 5 % flag is a sanity bound; the SDD Si escape is about 1 % at Cu Kα)"
+region2(beta'' 300 counts/px).proposal.notes[14] = "a weak line next to Al Kα reads low by ≈ 300 counts per pooled spectrum on synthetic data (cause: the Al Kα incomplete-charge tail, unmodelled until a tail is measured on an Al matrix, `TailEstimate`); unmeasured on real data. Weak-line bias measured on synthetic data: Δ = −270 ± 31 counts at 900 planted Mg Kα (generator A, no tail: continuum–line projection) and −272 ± 23 at 882 (generator S); −325 ± 38 at 3000 (A) and −226 ± 22 at 2899 (S)"
 region2(beta'' 300 counts/px).proposal.passes = 41
 region2(beta'' 300 counts/px).proposal.settled = true
 region2(beta'' 300 counts/px).proposal.reducedChiSquared = 3ff099f33b7c33b4 1.0375854800833908
diff --git a/Tests/SpectroCoreTests/Fixtures/spectro-golden/eds-realistic-l-sim.txt b/Tests/SpectroCoreTests/Fixtures/spectro-golden/eds-realistic-l-sim.txt
index 55d1077..c11c447 100644
--- a/Tests/SpectroCoreTests/Fixtures/spectro-golden/eds-realistic-l-sim.txt
+++ b/Tests/SpectroCoreTests/Fixtures/spectro-golden/eds-realistic-l-sim.txt
@@ -1044,6 +1044,7 @@ seed0.four.unlistedProposal.candidates[0].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[0].familyNote = nil
 seed0.four.unlistedProposal.candidates[0].possibleReason = nil
 seed0.four.unlistedProposal.candidates[0].unconfirmable = false
+seed0.four.unlistedProposal.candidates[0].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[1].element = "Ga"
 seed0.four.unlistedProposal.candidates[1].group = "Ga_La"
 seed0.four.unlistedProposal.candidates[1].energyKeV = 3ff1916872b020c5 1.0980000000000001
@@ -1069,6 +1070,7 @@ seed0.four.unlistedProposal.candidates[1].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[1].familyNote = nil
 seed0.four.unlistedProposal.candidates[1].possibleReason = nil
 seed0.four.unlistedProposal.candidates[1].unconfirmable = false
+seed0.four.unlistedProposal.candidates[1].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[2].element = "Cu"
 seed0.four.unlistedProposal.candidates[2].group = "Cu_Ka"
 seed0.four.unlistedProposal.candidates[2].energyKeV = 402018793dd97f63 8.0478000000000005
@@ -1105,6 +1107,7 @@ seed0.four.unlistedProposal.candidates[2].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[2].familyNote = nil
 seed0.four.unlistedProposal.candidates[2].possibleReason = nil
 seed0.four.unlistedProposal.candidates[2].unconfirmable = false
+seed0.four.unlistedProposal.candidates[2].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[3].element = "Pr"
 seed0.four.unlistedProposal.candidates[3].group = "Pr_Ma"
 seed0.four.unlistedProposal.candidates[3].energyKeV = 3fec985f06f69446 0.89359999999999995
@@ -1120,6 +1123,7 @@ seed0.four.unlistedProposal.candidates[3].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[3].familyNote = "Pr Lα (5.03 keV) has a residual peak of 1.7 σ, below the 3 σ its Mγ (1.13 keV) needs: not Pr."
 seed0.four.unlistedProposal.candidates[3].possibleReason = nil
 seed0.four.unlistedProposal.candidates[3].unconfirmable = false
+seed0.four.unlistedProposal.candidates[3].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[4].element = "Eu"
 seed0.four.unlistedProposal.candidates[4].group = "Eu_Ma"
 seed0.four.unlistedProposal.candidates[4].energyKeV = 3ff195e9e1b089a0 1.0991
@@ -1135,6 +1139,7 @@ seed0.four.unlistedProposal.candidates[4].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[4].familyNote = "Eu Lα (5.85 keV) has a residual peak of 0.5 σ, below the 3 σ its Mα (1.10 keV) needs: not Eu."
 seed0.four.unlistedProposal.candidates[4].possibleReason = nil
 seed0.four.unlistedProposal.candidates[4].unconfirmable = false
+seed0.four.unlistedProposal.candidates[4].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[5].element = "Sm"
 seed0.four.unlistedProposal.candidates[5].group = "Sm_Ma"
 seed0.four.unlistedProposal.candidates[5].energyKeV = 3ff0af4f0d844d01 1.0427999999999999
@@ -1161,6 +1166,7 @@ seed0.four.unlistedProposal.candidates[5].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[5].familyNote = "Sm Lα (5.64 keV) has a residual peak of 1.0 σ, below the 3 σ its Mβ (1.10 keV) needs: not Sm."
 seed0.four.unlistedProposal.candidates[5].possibleReason = nil
 seed0.four.unlistedProposal.candidates[5].unconfirmable = false
+seed0.four.unlistedProposal.candidates[5].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[6].element = "Rb"
 seed0.four.unlistedProposal.candidates[6].group = "Rb_La"
 seed0.four.unlistedProposal.candidates[6].energyKeV = 3ffb1b089a027525 1.6940999999999999
@@ -1188,6 +1194,7 @@ seed0.four.unlistedProposal.candidates[6].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[6].familyNote = nil
 seed0.four.unlistedProposal.candidates[6].possibleReason = "The peak at 1.748 keV went to Ta, which explains it better (gain there 117 against 79)."
 seed0.four.unlistedProposal.candidates[6].unconfirmable = false
+seed0.four.unlistedProposal.candidates[6].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[7].element = "Nd"
 seed0.four.unlistedProposal.candidates[7].group = "Nd_Ma"
 seed0.four.unlistedProposal.candidates[7].energyKeV = 3fee161e4f765fd9 0.94020000000000004
@@ -1203,6 +1210,7 @@ seed0.four.unlistedProposal.candidates[7].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[7].familyNote = "Nd Lα (5.23 keV) has a residual peak of 0.6 σ, below the 3 σ its Mβ (1.00 keV) needs: not Nd."
 seed0.four.unlistedProposal.candidates[7].possibleReason = nil
 seed0.four.unlistedProposal.candidates[7].unconfirmable = false
+seed0.four.unlistedProposal.candidates[7].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[8].element = "Ce"
 seed0.four.unlistedProposal.candidates[8].group = "Ce_Ma"
 seed0.four.unlistedProposal.candidates[8].energyKeV = 3feb0e5604189375 0.84550000000000003
@@ -1218,6 +1226,7 @@ seed0.four.unlistedProposal.candidates[8].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[8].familyNote = "Ce Lα (4.84 keV) has a residual peak of 0.0 σ, below the 3 σ its Mγ (1.08 keV) needs: not Ce."
 seed0.four.unlistedProposal.candidates[8].possibleReason = nil
 seed0.four.unlistedProposal.candidates[8].unconfirmable = false
+seed0.four.unlistedProposal.candidates[8].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[9].element = "Hf"
 seed0.four.unlistedProposal.candidates[9].group = "Hf_Ma"
 seed0.four.unlistedProposal.candidates[9].energyKeV = 3ffa504816f0068e 1.6446000000000001
@@ -1245,6 +1254,7 @@ seed0.four.unlistedProposal.candidates[9].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[9].familyNote = "Hf Lα (7.90 keV) has a residual peak of 0.0 σ, below the 3 σ its Mβ (1.70 keV) needs: not Hf."
 seed0.four.unlistedProposal.candidates[9].possibleReason = nil
 seed0.four.unlistedProposal.candidates[9].unconfirmable = false
+seed0.four.unlistedProposal.candidates[9].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[10].element = "Zr"
 seed0.four.unlistedProposal.candidates[10].group = "Zr_La"
 seed0.four.unlistedProposal.candidates[10].energyKeV = 400056a161e4f766 2.0423
@@ -1272,6 +1282,7 @@ seed0.four.unlistedProposal.candidates[10].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[10].familyNote = "Zr Kα (15.78 keV) has a residual peak of 1.3 σ, below the 3 σ its Lα (2.04 keV) needs: not Zr."
 seed0.four.unlistedProposal.candidates[10].possibleReason = nil
 seed0.four.unlistedProposal.candidates[10].unconfirmable = false
+seed0.four.unlistedProposal.candidates[10].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[11].element = "Ta"
 seed0.four.unlistedProposal.candidates[11].group = "Ta_Ma"
 seed0.four.unlistedProposal.candidates[11].energyKeV = 3ffb5c91d14e3bcd 1.7101
@@ -1299,6 +1310,7 @@ seed0.four.unlistedProposal.candidates[11].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[11].familyNote = nil
 seed0.four.unlistedProposal.candidates[11].possibleReason = nil
 seed0.four.unlistedProposal.candidates[11].unconfirmable = false
+seed0.four.unlistedProposal.candidates[11].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[12].element = "P"
 seed0.four.unlistedProposal.candidates[12].group = "P_Ka"
 seed0.four.unlistedProposal.candidates[12].energyKeV = 40001b3d07c84b5e 2.0133000000000001
@@ -1326,6 +1338,7 @@ seed0.four.unlistedProposal.candidates[12].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[12].familyNote = nil
 seed0.four.unlistedProposal.candidates[12].possibleReason = "Adding it improves the fit by 8, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[12].unconfirmable = false
+seed0.four.unlistedProposal.candidates[12].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[13].element = "Hg"
 seed0.four.unlistedProposal.candidates[13].group = "Hg_La"
 seed0.four.unlistedProposal.candidates[13].energyKeV = 4023fa5e353f7cee 9.9890000000000008
@@ -1341,6 +1354,7 @@ seed0.four.unlistedProposal.candidates[13].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[13].familyNote = nil
 seed0.four.unlistedProposal.candidates[13].possibleReason = "The peak at 9.888 keV went to Ge, which explains it better (gain there 16900529 against 1753845)."
 seed0.four.unlistedProposal.candidates[13].unconfirmable = false
+seed0.four.unlistedProposal.candidates[13].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[14].element = "Gd"
 seed0.four.unlistedProposal.candidates[14].group = "Gd_Ma"
 seed0.four.unlistedProposal.candidates[14].energyKeV = 3ff2d3ae685db76b 1.1766799999999999
@@ -1356,6 +1370,7 @@ seed0.four.unlistedProposal.candidates[14].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[14].familyNote = "Gd Lα (6.06 keV) has a residual peak of 0.0 σ, below the 3 σ its Mα (1.18 keV) needs: not Gd."
 seed0.four.unlistedProposal.candidates[14].possibleReason = nil
 seed0.four.unlistedProposal.candidates[14].unconfirmable = false
+seed0.four.unlistedProposal.candidates[14].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[15].element = "Lu"
 seed0.four.unlistedProposal.candidates[15].group = "Lu_La"
 seed0.four.unlistedProposal.candidates[15].energyKeV = 401e9f559b3d07c8 7.6555999999999997
@@ -1371,6 +1386,7 @@ seed0.four.unlistedProposal.candidates[15].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[15].familyNote = nil
 seed0.four.unlistedProposal.candidates[15].possibleReason = "Adding it improves the fit by 73, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[15].unconfirmable = false
+seed0.four.unlistedProposal.candidates[15].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[16].element = "Ho"
 seed0.four.unlistedProposal.candidates[16].group = "Ho_La"
 seed0.four.unlistedProposal.candidates[16].energyKeV = 401ae0f9096bb98c 6.7196999999999996
@@ -1386,6 +1402,7 @@ seed0.four.unlistedProposal.candidates[16].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[16].familyNote = nil
 seed0.four.unlistedProposal.candidates[16].possibleReason = "Adding it improves the fit by 7, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[16].unconfirmable = false
+seed0.four.unlistedProposal.candidates[16].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[17].element = "Zn"
 seed0.four.unlistedProposal.candidates[17].group = "Zn_Ka"
 seed0.four.unlistedProposal.candidates[17].energyKeV = 4021471de69ad42c 8.6388999999999996
@@ -1413,6 +1430,7 @@ seed0.four.unlistedProposal.candidates[17].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[17].familyNote = nil
 seed0.four.unlistedProposal.candidates[17].possibleReason = "Adding it improves the fit by 12, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[17].unconfirmable = false
+seed0.four.unlistedProposal.candidates[17].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[18].element = "Re"
 seed0.four.unlistedProposal.candidates[18].group = "Re_La"
 seed0.four.unlistedProposal.candidates[18].energyKeV = 40214e075f6fd220 8.6524000000000001
@@ -1440,6 +1458,7 @@ seed0.four.unlistedProposal.candidates[18].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[18].familyNote = nil
 seed0.four.unlistedProposal.candidates[18].possibleReason = "Adding it improves the fit by 6, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[18].unconfirmable = false
+seed0.four.unlistedProposal.candidates[18].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[19].element = "Tm"
 seed0.four.unlistedProposal.candidates[19].group = "Tm_La"
 seed0.four.unlistedProposal.candidates[19].energyKeV = 401cb8a0902de00d 7.1802999999999999
@@ -1455,6 +1474,7 @@ seed0.four.unlistedProposal.candidates[19].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[19].familyNote = nil
 seed0.four.unlistedProposal.candidates[19].possibleReason = "Adding it improves the fit by 7, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[19].unconfirmable = false
+seed0.four.unlistedProposal.candidates[19].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[20].element = "Se"
 seed0.four.unlistedProposal.candidates[20].group = "Se_Ka"
 seed0.four.unlistedProposal.candidates[20].energyKeV = 402671a9fbe76c8b 11.222
@@ -1470,6 +1490,7 @@ seed0.four.unlistedProposal.candidates[20].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[20].familyNote = nil
 seed0.four.unlistedProposal.candidates[20].possibleReason = "Adding it improves the fit by 2, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[20].unconfirmable = false
+seed0.four.unlistedProposal.candidates[20].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[21].element = "Tb"
 seed0.four.unlistedProposal.candidates[21].group = "Tb_La"
 seed0.four.unlistedProposal.candidates[21].energyKeV = 40191758e219652c 6.2728000000000002
@@ -1509,6 +1530,7 @@ seed0.four.unlistedProposal.candidates[21].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[21].familyNote = nil
 seed0.four.unlistedProposal.candidates[21].possibleReason = "Adding it improves the fit by 4, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[21].unconfirmable = false
+seed0.four.unlistedProposal.candidates[21].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[22].element = "Ir"
 seed0.four.unlistedProposal.candidates[22].group = "Ir_La"
 seed0.four.unlistedProposal.candidates[22].energyKeV = 4022597f62b6ae7d 9.1747999999999994
@@ -1548,6 +1570,7 @@ seed0.four.unlistedProposal.candidates[22].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[22].familyNote = nil
 seed0.four.unlistedProposal.candidates[22].possibleReason = "Adding it improves the fit by 2, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[22].unconfirmable = false
+seed0.four.unlistedProposal.candidates[22].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[23].element = "Dy"
 seed0.four.unlistedProposal.candidates[23].group = "Dy_La"
 seed0.four.unlistedProposal.candidates[23].energyKeV = 4019fb15b573eab3 6.4951999999999996
@@ -1563,6 +1586,7 @@ seed0.four.unlistedProposal.candidates[23].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[23].familyNote = nil
 seed0.four.unlistedProposal.candidates[23].possibleReason = "Adding it improves the fit by 0, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[23].unconfirmable = false
+seed0.four.unlistedProposal.candidates[23].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[24].element = "Au"
 seed0.four.unlistedProposal.candidates[24].group = "Au_La"
 seed0.four.unlistedProposal.candidates[24].energyKeV = 40236d0e56041893 9.7129999999999992
@@ -1578,6 +1602,7 @@ seed0.four.unlistedProposal.candidates[24].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[24].familyNote = nil
 seed0.four.unlistedProposal.candidates[24].possibleReason = "Its area 0 is below its detection limit 278."
 seed0.four.unlistedProposal.candidates[24].unconfirmable = false
+seed0.four.unlistedProposal.candidates[24].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[25].element = "Bi"
 seed0.four.unlistedProposal.candidates[25].group = "Bi_La"
 seed0.four.unlistedProposal.candidates[25].energyKeV = 4025ad916872b021 10.839
@@ -1593,6 +1618,7 @@ seed0.four.unlistedProposal.candidates[25].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[25].familyNote = nil
 seed0.four.unlistedProposal.candidates[25].possibleReason = "Adding it improves the fit by 16, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[25].unconfirmable = false
+seed0.four.unlistedProposal.candidates[25].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[26].element = "Er"
 seed0.four.unlistedProposal.candidates[26].group = "Er_La"
 seed0.four.unlistedProposal.candidates[26].energyKeV = 401bcb5dcc63f141 6.9485999999999999
@@ -1608,6 +1634,7 @@ seed0.four.unlistedProposal.candidates[26].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[26].familyNote = nil
 seed0.four.unlistedProposal.candidates[26].possibleReason = "Only -45 % of its gain 589 is at its own lines (20 % needed): it mostly reshapes the background."
 seed0.four.unlistedProposal.candidates[26].unconfirmable = false
+seed0.four.unlistedProposal.candidates[26].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[27].element = "La"
 seed0.four.unlistedProposal.candidates[27].group = "La_Ma"
 seed0.four.unlistedProposal.candidates[27].energyKeV = 3fea27525460aa65 0.81730000000000003
@@ -1623,6 +1650,7 @@ seed0.four.unlistedProposal.candidates[27].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[27].familyNote = "La Lα (4.65 keV) has a residual peak of 1.2 σ, below the 3 σ its Mγ (1.02 keV) needs: not La."
 seed0.four.unlistedProposal.candidates[27].possibleReason = nil
 seed0.four.unlistedProposal.candidates[27].unconfirmable = false
+seed0.four.unlistedProposal.candidates[27].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[28].element = "Na"
 seed0.four.unlistedProposal.candidates[28].group = "Na_Ka"
 seed0.four.unlistedProposal.candidates[28].energyKeV = 3ff0a7ef9db22d0e 1.0409999999999999
@@ -1649,6 +1677,7 @@ seed0.four.unlistedProposal.candidates[28].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[28].familyNote = nil
 seed0.four.unlistedProposal.candidates[28].possibleReason = "Adding it improves the fit by 0, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[28].unconfirmable = false
+seed0.four.unlistedProposal.candidates[28].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[29].element = "Os"
 seed0.four.unlistedProposal.candidates[29].group = "Os_La"
 seed0.four.unlistedProposal.candidates[29].energyKeV = 4021d25460aa64c3 8.9108000000000001
@@ -1664,6 +1693,7 @@ seed0.four.unlistedProposal.candidates[29].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[29].familyNote = nil
 seed0.four.unlistedProposal.candidates[29].possibleReason = "Adding it improves the fit by 2, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[29].unconfirmable = false
+seed0.four.unlistedProposal.candidates[29].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[30].element = "Pt"
 seed0.four.unlistedProposal.candidates[30].group = "Pt_La"
 seed0.four.unlistedProposal.candidates[30].energyKeV = 4022e25aee631f8a 9.4420999999999999
@@ -1679,6 +1709,7 @@ seed0.four.unlistedProposal.candidates[30].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[30].familyNote = nil
 seed0.four.unlistedProposal.candidates[30].possibleReason = "Adding it improves the fit by 61, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[30].unconfirmable = false
+seed0.four.unlistedProposal.candidates[30].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[31].element = "Sr"
 seed0.four.unlistedProposal.candidates[31].group = "Sr_La"
 seed0.four.unlistedProposal.candidates[31].energyKeV = 3ffce76c8b439581 1.8065
@@ -1705,6 +1736,7 @@ seed0.four.unlistedProposal.candidates[31].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[31].familyNote = "Sr Kα (14.16 keV) has a residual peak of 0.0 σ, below the 3 σ its Lα (1.81 keV) needs: not Sr."
 seed0.four.unlistedProposal.candidates[31].possibleReason = nil
 seed0.four.unlistedProposal.candidates[31].unconfirmable = false
+seed0.four.unlistedProposal.candidates[31].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[32].element = "W"
 seed0.four.unlistedProposal.candidates[32].group = "W_La"
 seed0.four.unlistedProposal.candidates[32].energyKeV = 4020cb923a29c77a 8.3976000000000006
@@ -1732,6 +1764,7 @@ seed0.four.unlistedProposal.candidates[32].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[32].familyNote = nil
 seed0.four.unlistedProposal.candidates[32].possibleReason = "Adding it improves the fit by 3, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[32].unconfirmable = false
+seed0.four.unlistedProposal.candidates[32].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[33].element = "Y"
 seed0.four.unlistedProposal.candidates[33].group = "Y_La"
 seed0.four.unlistedProposal.candidates[33].energyKeV = 3ffec2f837b4a234 1.9226000000000001
@@ -1747,6 +1780,7 @@ seed0.four.unlistedProposal.candidates[33].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[33].familyNote = "Y Kα (14.96 keV) has a residual peak of 0.9 σ, below the 3 σ its Lα (1.92 keV) needs: not Y."
 seed0.four.unlistedProposal.candidates[33].possibleReason = nil
 seed0.four.unlistedProposal.candidates[33].unconfirmable = false
+seed0.four.unlistedProposal.candidates[33].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[34].element = "Yb"
 seed0.four.unlistedProposal.candidates[34].group = "Yb_La"
 seed0.four.unlistedProposal.candidates[34].energyKeV = 401da9c779a6b50b 7.4157999999999999
@@ -1762,6 +1796,7 @@ seed0.four.unlistedProposal.candidates[34].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[34].familyNote = nil
 seed0.four.unlistedProposal.candidates[34].possibleReason = "Adding it improves the fit by 18, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[34].unconfirmable = false
+seed0.four.unlistedProposal.candidates[34].explainedBySumPeak = nil
 seed0.four.unlistedProposal.sumPeaks: n 0 sum 0000000000000000 0 fnv cbf29ce484222325
 seed0.four.unlistedProposal.refused: array 7
 seed0.four.unlistedProposal.refused[0].element = "H"
diff --git a/Tests/SpectroCoreTests/Fixtures/spectro-golden/eds-unlisted-sim.txt b/Tests/SpectroCoreTests/Fixtures/spectro-golden/eds-unlisted-sim.txt
index bbbb8b8..acdb14f 100644
--- a/Tests/SpectroCoreTests/Fixtures/spectro-golden/eds-unlisted-sim.txt
+++ b/Tests/SpectroCoreTests/Fixtures/spectro-golden/eds-unlisted-sim.txt
@@ -347,6 +347,7 @@ seed0.four.unlistedProposal.candidates[0].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[0].familyNote = nil
 seed0.four.unlistedProposal.candidates[0].possibleReason = nil
 seed0.four.unlistedProposal.candidates[0].unconfirmable = false
+seed0.four.unlistedProposal.candidates[0].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[1].element = "Ga"
 seed0.four.unlistedProposal.candidates[1].group = "Ga_La"
 seed0.four.unlistedProposal.candidates[1].energyKeV = 3ff1916872b020c5 1.0980000000000001
@@ -372,6 +373,7 @@ seed0.four.unlistedProposal.candidates[1].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[1].familyNote = nil
 seed0.four.unlistedProposal.candidates[1].possibleReason = nil
 seed0.four.unlistedProposal.candidates[1].unconfirmable = false
+seed0.four.unlistedProposal.candidates[1].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[2].element = "Cu"
 seed0.four.unlistedProposal.candidates[2].group = "Cu_Ka"
 seed0.four.unlistedProposal.candidates[2].energyKeV = 402018793dd97f63 8.0478000000000005
@@ -408,6 +410,7 @@ seed0.four.unlistedProposal.candidates[2].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[2].familyNote = nil
 seed0.four.unlistedProposal.candidates[2].possibleReason = nil
 seed0.four.unlistedProposal.candidates[2].unconfirmable = false
+seed0.four.unlistedProposal.candidates[2].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[3].element = "Eu"
 seed0.four.unlistedProposal.candidates[3].group = "Eu_Ma"
 seed0.four.unlistedProposal.candidates[3].energyKeV = 3ff195e9e1b089a0 1.0991
@@ -423,6 +426,7 @@ seed0.four.unlistedProposal.candidates[3].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[3].familyNote = "Eu Lα (5.85 keV) has a residual peak of 0.0 σ, below the 3 σ its Mα (1.10 keV) needs: not Eu."
 seed0.four.unlistedProposal.candidates[3].possibleReason = nil
 seed0.four.unlistedProposal.candidates[3].unconfirmable = false
+seed0.four.unlistedProposal.candidates[3].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[4].element = "Sm"
 seed0.four.unlistedProposal.candidates[4].group = "Sm_Ma"
 seed0.four.unlistedProposal.candidates[4].energyKeV = 3ff0af4f0d844d01 1.0427999999999999
@@ -438,6 +442,7 @@ seed0.four.unlistedProposal.candidates[4].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[4].familyNote = "Sm Lα (5.64 keV) has a residual peak of 0.0 σ, below the 3 σ its Mβ (1.10 keV) needs: not Sm."
 seed0.four.unlistedProposal.candidates[4].possibleReason = nil
 seed0.four.unlistedProposal.candidates[4].unconfirmable = false
+seed0.four.unlistedProposal.candidates[4].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[5].element = "Pr"
 seed0.four.unlistedProposal.candidates[5].group = "Pr_Ma"
 seed0.four.unlistedProposal.candidates[5].energyKeV = 3fec985f06f69446 0.89359999999999995
@@ -453,6 +458,7 @@ seed0.four.unlistedProposal.candidates[5].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[5].familyNote = "Pr Lα (5.03 keV) has a residual peak of 0.0 σ, below the 3 σ its Mγ (1.13 keV) needs: not Pr."
 seed0.four.unlistedProposal.candidates[5].possibleReason = nil
 seed0.four.unlistedProposal.candidates[5].unconfirmable = false
+seed0.four.unlistedProposal.candidates[5].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[6].element = "Na"
 seed0.four.unlistedProposal.candidates[6].group = "Na_Ka"
 seed0.four.unlistedProposal.candidates[6].energyKeV = 3ff0a7ef9db22d0e 1.0409999999999999
@@ -479,6 +485,7 @@ seed0.four.unlistedProposal.candidates[6].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[6].familyNote = nil
 seed0.four.unlistedProposal.candidates[6].possibleReason = "Adding it improves the fit by -13411, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[6].unconfirmable = false
+seed0.four.unlistedProposal.candidates[6].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[7].element = "Ce"
 seed0.four.unlistedProposal.candidates[7].group = "Ce_Ma"
 seed0.four.unlistedProposal.candidates[7].energyKeV = 3feb0e5604189375 0.84550000000000003
@@ -494,6 +501,7 @@ seed0.four.unlistedProposal.candidates[7].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[7].familyNote = "Ce Lα (4.84 keV) has a residual peak of 0.5 σ, below the 3 σ its Mγ (1.08 keV) needs: not Ce."
 seed0.four.unlistedProposal.candidates[7].possibleReason = nil
 seed0.four.unlistedProposal.candidates[7].unconfirmable = false
+seed0.four.unlistedProposal.candidates[7].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[8].element = "Rb"
 seed0.four.unlistedProposal.candidates[8].group = "Rb_La"
 seed0.four.unlistedProposal.candidates[8].energyKeV = 3ffb1b089a027525 1.6940999999999999
@@ -521,6 +529,7 @@ seed0.four.unlistedProposal.candidates[8].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[8].familyNote = "Rb Kα (13.40 keV) has a residual peak of 0.0 σ, below the 3 σ its Lβ1 (1.75 keV) needs: not Rb."
 seed0.four.unlistedProposal.candidates[8].possibleReason = nil
 seed0.four.unlistedProposal.candidates[8].unconfirmable = false
+seed0.four.unlistedProposal.candidates[8].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[9].element = "Ta"
 seed0.four.unlistedProposal.candidates[9].group = "Ta_Ma"
 seed0.four.unlistedProposal.candidates[9].energyKeV = 3ffb5c91d14e3bcd 1.7101
@@ -548,6 +557,7 @@ seed0.four.unlistedProposal.candidates[9].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[9].familyNote = "Ta Lα (8.15 keV) has a residual peak of 0.0 σ, below the 3 σ its Mβ (1.77 keV) needs: not Ta."
 seed0.four.unlistedProposal.candidates[9].possibleReason = nil
 seed0.four.unlistedProposal.candidates[9].unconfirmable = false
+seed0.four.unlistedProposal.candidates[9].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[10].element = "Zr"
 seed0.four.unlistedProposal.candidates[10].group = "Zr_La"
 seed0.four.unlistedProposal.candidates[10].energyKeV = 400056a161e4f766 2.0423
@@ -575,6 +585,7 @@ seed0.four.unlistedProposal.candidates[10].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[10].familyNote = "Zr Kα (15.78 keV) has a residual peak of 0.0 σ, below the 3 σ its Lα (2.04 keV) needs: not Zr."
 seed0.four.unlistedProposal.candidates[10].possibleReason = nil
 seed0.four.unlistedProposal.candidates[10].unconfirmable = false
+seed0.four.unlistedProposal.candidates[10].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[11].element = "P"
 seed0.four.unlistedProposal.candidates[11].group = "P_Ka"
 seed0.four.unlistedProposal.candidates[11].energyKeV = 40001b3d07c84b5e 2.0133000000000001
@@ -602,6 +613,7 @@ seed0.four.unlistedProposal.candidates[11].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[11].familyNote = nil
 seed0.four.unlistedProposal.candidates[11].possibleReason = "Adding it improves the fit by 11, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[11].unconfirmable = false
+seed0.four.unlistedProposal.candidates[11].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[12].element = "Gd"
 seed0.four.unlistedProposal.candidates[12].group = "Gd_Ma"
 seed0.four.unlistedProposal.candidates[12].energyKeV = 3ff2d3ae685db76b 1.1766799999999999
@@ -617,6 +629,7 @@ seed0.four.unlistedProposal.candidates[12].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[12].familyNote = "Gd Lα (6.06 keV) has a residual peak of 0.5 σ, below the 3 σ its Mα (1.18 keV) needs: not Gd."
 seed0.four.unlistedProposal.candidates[12].possibleReason = nil
 seed0.four.unlistedProposal.candidates[12].unconfirmable = false
+seed0.four.unlistedProposal.candidates[12].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[13].element = "Hg"
 seed0.four.unlistedProposal.candidates[13].group = "Hg_La"
 seed0.four.unlistedProposal.candidates[13].energyKeV = 4023fa5e353f7cee 9.9890000000000008
@@ -632,6 +645,7 @@ seed0.four.unlistedProposal.candidates[13].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[13].familyNote = nil
 seed0.four.unlistedProposal.candidates[13].possibleReason = "The peak at 9.888 keV went to Ge, which explains it better (gain there 16113088 against 1417710)."
 seed0.four.unlistedProposal.candidates[13].unconfirmable = false
+seed0.four.unlistedProposal.candidates[13].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[14].element = "Lu"
 seed0.four.unlistedProposal.candidates[14].group = "Lu_La"
 seed0.four.unlistedProposal.candidates[14].energyKeV = 401e9f559b3d07c8 7.6555999999999997
@@ -647,6 +661,7 @@ seed0.four.unlistedProposal.candidates[14].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[14].familyNote = nil
 seed0.four.unlistedProposal.candidates[14].possibleReason = "Adding it improves the fit by 22, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[14].unconfirmable = false
+seed0.four.unlistedProposal.candidates[14].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[15].element = "Hf"
 seed0.four.unlistedProposal.candidates[15].group = "Hf_La"
 seed0.four.unlistedProposal.candidates[15].energyKeV = 401f989374bc6a7f 7.899
@@ -662,6 +677,7 @@ seed0.four.unlistedProposal.candidates[15].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[15].familyNote = nil
 seed0.four.unlistedProposal.candidates[15].possibleReason = "Adding it improves the fit by 23, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[15].unconfirmable = false
+seed0.four.unlistedProposal.candidates[15].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[16].element = "Dy"
 seed0.four.unlistedProposal.candidates[16].group = "Dy_La"
 seed0.four.unlistedProposal.candidates[16].energyKeV = 4019fb15b573eab3 6.4951999999999996
@@ -677,6 +693,7 @@ seed0.four.unlistedProposal.candidates[16].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[16].familyNote = nil
 seed0.four.unlistedProposal.candidates[16].possibleReason = "Adding it improves the fit by 3, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[16].unconfirmable = false
+seed0.four.unlistedProposal.candidates[16].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[17].element = "Tm"
 seed0.four.unlistedProposal.candidates[17].group = "Tm_La"
 seed0.four.unlistedProposal.candidates[17].energyKeV = 401cb8a0902de00d 7.1802999999999999
@@ -692,6 +709,7 @@ seed0.four.unlistedProposal.candidates[17].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[17].familyNote = nil
 seed0.four.unlistedProposal.candidates[17].possibleReason = "Adding it improves the fit by 2, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[17].unconfirmable = false
+seed0.four.unlistedProposal.candidates[17].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[18].element = "Zn"
 seed0.four.unlistedProposal.candidates[18].group = "Zn_Ka"
 seed0.four.unlistedProposal.candidates[18].energyKeV = 4021471de69ad42c 8.6388999999999996
@@ -719,6 +737,7 @@ seed0.four.unlistedProposal.candidates[18].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[18].familyNote = nil
 seed0.four.unlistedProposal.candidates[18].possibleReason = "Adding it improves the fit by 2, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[18].unconfirmable = false
+seed0.four.unlistedProposal.candidates[18].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[19].element = "Se"
 seed0.four.unlistedProposal.candidates[19].group = "Se_Ka"
 seed0.four.unlistedProposal.candidates[19].energyKeV = 402671a9fbe76c8b 11.222
@@ -734,6 +753,7 @@ seed0.four.unlistedProposal.candidates[19].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[19].familyNote = nil
 seed0.four.unlistedProposal.candidates[19].possibleReason = "Adding it improves the fit by 6, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[19].unconfirmable = false
+seed0.four.unlistedProposal.candidates[19].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[20].element = "Ho"
 seed0.four.unlistedProposal.candidates[20].group = "Ho_La"
 seed0.four.unlistedProposal.candidates[20].energyKeV = 401ae0f9096bb98c 6.7196999999999996
@@ -749,6 +769,7 @@ seed0.four.unlistedProposal.candidates[20].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[20].familyNote = nil
 seed0.four.unlistedProposal.candidates[20].possibleReason = "Adding it improves the fit by 0, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[20].unconfirmable = false
+seed0.four.unlistedProposal.candidates[20].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[21].element = "Tb"
 seed0.four.unlistedProposal.candidates[21].group = "Tb_La"
 seed0.four.unlistedProposal.candidates[21].energyKeV = 40191758e219652c 6.2728000000000002
@@ -776,6 +797,7 @@ seed0.four.unlistedProposal.candidates[21].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[21].familyNote = nil
 seed0.four.unlistedProposal.candidates[21].possibleReason = "Adding it improves the fit by 0, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[21].unconfirmable = false
+seed0.four.unlistedProposal.candidates[21].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[22].element = "Re"
 seed0.four.unlistedProposal.candidates[22].group = "Re_La"
 seed0.four.unlistedProposal.candidates[22].energyKeV = 40214e075f6fd220 8.6524000000000001
@@ -803,6 +825,7 @@ seed0.four.unlistedProposal.candidates[22].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[22].familyNote = nil
 seed0.four.unlistedProposal.candidates[22].possibleReason = "Adding it improves the fit by 1, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[22].unconfirmable = false
+seed0.four.unlistedProposal.candidates[22].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[23].element = "Au"
 seed0.four.unlistedProposal.candidates[23].group = "Au_La"
 seed0.four.unlistedProposal.candidates[23].energyKeV = 40236d0e56041893 9.7129999999999992
@@ -818,6 +841,7 @@ seed0.four.unlistedProposal.candidates[23].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[23].familyNote = nil
 seed0.four.unlistedProposal.candidates[23].possibleReason = "Its area 0 is below its detection limit 281."
 seed0.four.unlistedProposal.candidates[23].unconfirmable = false
+seed0.four.unlistedProposal.candidates[23].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[24].element = "Bi"
 seed0.four.unlistedProposal.candidates[24].group = "Bi_La"
 seed0.four.unlistedProposal.candidates[24].energyKeV = 4025ad916872b021 10.839
@@ -833,6 +857,7 @@ seed0.four.unlistedProposal.candidates[24].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[24].familyNote = nil
 seed0.four.unlistedProposal.candidates[24].possibleReason = "Adding it improves the fit by -0, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[24].unconfirmable = false
+seed0.four.unlistedProposal.candidates[24].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[25].element = "Er"
 seed0.four.unlistedProposal.candidates[25].group = "Er_La"
 seed0.four.unlistedProposal.candidates[25].energyKeV = 401bcb5dcc63f141 6.9485999999999999
@@ -848,6 +873,7 @@ seed0.four.unlistedProposal.candidates[25].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[25].familyNote = nil
 seed0.four.unlistedProposal.candidates[25].possibleReason = "Adding it improves the fit by -2724, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[25].unconfirmable = false
+seed0.four.unlistedProposal.candidates[25].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[26].element = "Ir"
 seed0.four.unlistedProposal.candidates[26].group = "Ir_La"
 seed0.four.unlistedProposal.candidates[26].energyKeV = 4022597f62b6ae7d 9.1747999999999994
@@ -875,6 +901,7 @@ seed0.four.unlistedProposal.candidates[26].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[26].familyNote = nil
 seed0.four.unlistedProposal.candidates[26].possibleReason = "Adding it improves the fit by 9, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[26].unconfirmable = false
+seed0.four.unlistedProposal.candidates[26].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[27].element = "La"
 seed0.four.unlistedProposal.candidates[27].group = "La_Ma"
 seed0.four.unlistedProposal.candidates[27].energyKeV = 3fea27525460aa65 0.81730000000000003
@@ -890,6 +917,7 @@ seed0.four.unlistedProposal.candidates[27].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[27].familyNote = "La Lα (4.65 keV) has a residual peak of 1.4 σ, below the 3 σ its Mγ (1.02 keV) needs: not La."
 seed0.four.unlistedProposal.candidates[27].possibleReason = nil
 seed0.four.unlistedProposal.candidates[27].unconfirmable = false
+seed0.four.unlistedProposal.candidates[27].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[28].element = "Nd"
 seed0.four.unlistedProposal.candidates[28].group = "Nd_Ma"
 seed0.four.unlistedProposal.candidates[28].energyKeV = 3fee161e4f765fd9 0.94020000000000004
@@ -905,6 +933,7 @@ seed0.four.unlistedProposal.candidates[28].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[28].familyNote = "Nd Lα (5.23 keV) has a residual peak of 0.0 σ, below the 3 σ its Mβ (1.00 keV) needs: not Nd."
 seed0.four.unlistedProposal.candidates[28].possibleReason = nil
 seed0.four.unlistedProposal.candidates[28].unconfirmable = false
+seed0.four.unlistedProposal.candidates[28].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[29].element = "Os"
 seed0.four.unlistedProposal.candidates[29].group = "Os_La"
 seed0.four.unlistedProposal.candidates[29].energyKeV = 4021d25460aa64c3 8.9108000000000001
@@ -920,6 +949,7 @@ seed0.four.unlistedProposal.candidates[29].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[29].familyNote = nil
 seed0.four.unlistedProposal.candidates[29].possibleReason = "Adding it improves the fit by -0, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[29].unconfirmable = false
+seed0.four.unlistedProposal.candidates[29].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[30].element = "Pt"
 seed0.four.unlistedProposal.candidates[30].group = "Pt_La"
 seed0.four.unlistedProposal.candidates[30].energyKeV = 4022e25aee631f8a 9.4420999999999999
@@ -935,6 +965,7 @@ seed0.four.unlistedProposal.candidates[30].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[30].familyNote = nil
 seed0.four.unlistedProposal.candidates[30].possibleReason = "Adding it improves the fit by 43, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[30].unconfirmable = false
+seed0.four.unlistedProposal.candidates[30].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[31].element = "Sr"
 seed0.four.unlistedProposal.candidates[31].group = "Sr_La"
 seed0.four.unlistedProposal.candidates[31].energyKeV = 3ffce76c8b439581 1.8065
@@ -961,6 +992,7 @@ seed0.four.unlistedProposal.candidates[31].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[31].familyNote = "Sr Kα (14.16 keV) has a residual peak of 0.8 σ, below the 3 σ its Lα (1.81 keV) needs: not Sr."
 seed0.four.unlistedProposal.candidates[31].possibleReason = nil
 seed0.four.unlistedProposal.candidates[31].unconfirmable = false
+seed0.four.unlistedProposal.candidates[31].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[32].element = "W"
 seed0.four.unlistedProposal.candidates[32].group = "W_La"
 seed0.four.unlistedProposal.candidates[32].energyKeV = 4020cb923a29c77a 8.3976000000000006
@@ -988,6 +1020,7 @@ seed0.four.unlistedProposal.candidates[32].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[32].familyNote = nil
 seed0.four.unlistedProposal.candidates[32].possibleReason = "Adding it improves the fit by 1, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[32].unconfirmable = false
+seed0.four.unlistedProposal.candidates[32].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[33].element = "Y"
 seed0.four.unlistedProposal.candidates[33].group = "Y_La"
 seed0.four.unlistedProposal.candidates[33].energyKeV = 3ffec2f837b4a234 1.9226000000000001
@@ -1003,6 +1036,7 @@ seed0.four.unlistedProposal.candidates[33].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[33].familyNote = "Y Kα (14.96 keV) has a residual peak of 0.4 σ, below the 3 σ its Lα (1.92 keV) needs: not Y."
 seed0.four.unlistedProposal.candidates[33].possibleReason = nil
 seed0.four.unlistedProposal.candidates[33].unconfirmable = false
+seed0.four.unlistedProposal.candidates[33].explainedBySumPeak = nil
 seed0.four.unlistedProposal.candidates[34].element = "Yb"
 seed0.four.unlistedProposal.candidates[34].group = "Yb_La"
 seed0.four.unlistedProposal.candidates[34].energyKeV = 401da9c779a6b50b 7.4157999999999999
@@ -1018,6 +1052,7 @@ seed0.four.unlistedProposal.candidates[34].misfit = 3ff0000000000000 1
 seed0.four.unlistedProposal.candidates[34].familyNote = nil
 seed0.four.unlistedProposal.candidates[34].possibleReason = "Adding it improves the fit by 11, below the 100 a new line needs."
 seed0.four.unlistedProposal.candidates[34].unconfirmable = false
+seed0.four.unlistedProposal.candidates[34].explainedBySumPeak = nil
 seed0.four.unlistedProposal.sumPeaks: n 0 sum 0000000000000000 0 fnv cbf29ce484222325
 seed0.four.unlistedProposal.refused: array 7
 seed0.four.unlistedProposal.refused[0].element = "H"
@@ -1573,6 +1608,7 @@ seed0.seven.unlistedProposal.candidates[0].misfit = 3ff0000000000000 1
 seed0.seven.unlistedProposal.candidates[0].familyNote = "Rb Kα (13.40 keV) has a residual peak of 0.0 σ, below the 3 σ its Lβ1 (1.75 keV) needs: not Rb."
 seed0.seven.unlistedProposal.candidates[0].possibleReason = nil
 seed0.seven.unlistedProposal.candidates[0].unconfirmable = false
+seed0.seven.unlistedProposal.candidates[0].explainedBySumPeak = nil
 seed0.seven.unlistedProposal.candidates[1].element = "Pt"
 seed0.seven.unlistedProposal.candidates[1].group = "Pt_Ma"
 seed0.seven.unlistedProposal.candidates[1].energyKeV = 4000676c8b439581 2.0505
@@ -1600,6 +1636,7 @@ seed0.seven.unlistedProposal.candidates[1].misfit = 3ff0000000000000 1
 seed0.seven.unlistedProposal.candidates[1].familyNote = "Pt Lα (9.44 keV) has a residual peak of 0.0 σ, below the 3 σ its Mα (2.05 keV) needs: not Pt."
 seed0.seven.unlistedProposal.candidates[1].possibleReason = nil
 seed0.seven.unlistedProposal.candidates[1].unconfirmable = false
+seed0.seven.unlistedProposal.candidates[1].explainedBySumPeak = nil
 seed0.seven.unlistedProposal.candidates[2].element = "Au"
 seed0.seven.unlistedProposal.candidates[2].group = "Au_Ma"
 seed0.seven.unlistedProposal.candidates[2].energyKeV = 4000fbb2fec56d5d 2.1229
@@ -1627,6 +1664,7 @@ seed0.seven.unlistedProposal.candidates[2].misfit = 3ff0000000000000 1
 seed0.seven.unlistedProposal.candidates[2].familyNote = "Au Lα (9.71 keV) has a residual peak of 0.0 σ, below the 3 σ its Mα (2.12 keV) needs: not Au."
 seed0.seven.unlistedProposal.candidates[2].possibleReason = nil
 seed0.seven.unlistedProposal.candidates[2].unconfirmable = false
+seed0.seven.unlistedProposal.candidates[2].explainedBySumPeak = nil
 seed0.seven.unlistedProposal.candidates[3].element = "Zr"
 seed0.seven.unlistedProposal.candidates[3].group = "Zr_La"
 seed0.seven.unlistedProposal.candidates[3].energyKeV = 400056a161e4f766 2.0423
@@ -1654,6 +1692,7 @@ seed0.seven.unlistedProposal.candidates[3].misfit = 3ff0000000000000 1
 seed0.seven.unlistedProposal.candidates[3].familyNote = "Zr Kα (15.78 keV) has a residual peak of 0.0 σ, below the 3 σ its Lα (2.04 keV) needs: not Zr."
 seed0.seven.unlistedProposal.candidates[3].possibleReason = nil
 seed0.seven.unlistedProposal.candidates[3].unconfirmable = false
+seed0.seven.unlistedProposal.candidates[3].explainedBySumPeak = nil
 seed0.seven.unlistedProposal.candidates[4].element = "Nb"
 seed0.seven.unlistedProposal.candidates[4].group = "Nb_La"
 seed0.seven.unlistedProposal.candidates[4].energyKeV = 400153c36113404f 2.1659000000000002
@@ -1692,6 +1731,7 @@ seed0.seven.unlistedProposal.candidates[4].misfit = 3ff0000000000000 1
 seed0.seven.unlistedProposal.candidates[4].familyNote = "Nb Kα (16.62 keV) has a residual peak of 0.0 σ, below the 3 σ its Lα (2.17 keV) needs: not Nb."
 seed0.seven.unlistedProposal.candidates[4].possibleReason = nil
 seed0.seven.unlistedProposal.candidates[4].unconfirmable = false
+seed0.seven.unlistedProposal.candidates[4].explainedBySumPeak = nil
 seed0.seven.unlistedProposal.candidates[5].element = "Ta"
 seed0.seven.unlistedProposal.candidates[5].group = "Ta_Ma"
 seed0.seven.unlistedProposal.candidates[5].energyKeV = 3ffb5c91d14e3bcd 1.7101
@@ -1719,6 +1759,7 @@ seed0.seven.unlistedProposal.candidates[5].misfit = 3ff0000000000000 1
 seed0.seven.unlistedProposal.candidates[5].familyNote = nil
 seed0.seven.unlistedProposal.candidates[5].possibleReason = nil
 seed0.seven.unlistedProposal.candidates[5].unconfirmable = false
+seed0.seven.unlistedProposal.candidates[5].explainedBySumPeak = nil
 seed0.seven.unlistedProposal.candidates[6].element = "Er"
 seed0.seven.unlistedProposal.candidates[6].group = "Er_La"
 seed0.seven.unlistedProposal.candidates[6].energyKeV = 401bcb5dcc63f141 6.9485999999999999
@@ -1734,6 +1775,7 @@ seed0.seven.unlistedProposal.candidates[6].misfit = 3ff0000000000000 1
 seed0.seven.unlistedProposal.candidates[6].familyNote = nil
 seed0.seven.unlistedProposal.candidates[6].possibleReason = "Adding it improves the fit by 15, below the 100 a new line needs."
 seed0.seven.unlistedProposal.candidates[6].unconfirmable = false
+seed0.seven.unlistedProposal.candidates[6].explainedBySumPeak = nil
 seed0.seven.unlistedProposal.candidates[7].element = "Lu"
 seed0.seven.unlistedProposal.candidates[7].group = "Lu_La"
 seed0.seven.unlistedProposal.candidates[7].energyKeV = 401e9f559b3d07c8 7.6555999999999997
@@ -1749,6 +1791,7 @@ seed0.seven.unlistedProposal.candidates[7].misfit = 3ff0000000000000 1
 seed0.seven.unlistedProposal.candidates[7].familyNote = nil
 seed0.seven.unlistedProposal.candidates[7].possibleReason = "Adding it improves the fit by 34, below the 100 a new line needs."
 seed0.seven.unlistedProposal.candidates[7].unconfirmable = false
+seed0.seven.unlistedProposal.candidates[7].explainedBySumPeak = nil
 seed0.seven.unlistedProposal.candidates[8].element = "Hf"
 seed0.seven.unlistedProposal.candidates[8].group = "Hf_La"
 seed0.seven.unlistedProposal.candidates[8].energyKeV = 401f989374bc6a7f 7.899
@@ -1764,6 +1807,7 @@ seed0.seven.unlistedProposal.candidates[8].misfit = 3ff0000000000000 1
 seed0.seven.unlistedProposal.candidates[8].familyNote = nil
 seed0.seven.unlistedProposal.candidates[8].possibleReason = "Adding it improves the fit by 14, below the 100 a new line needs."
 seed0.seven.unlistedProposal.candidates[8].unconfirmable = false
+seed0.seven.unlistedProposal.candidates[8].explainedBySumPeak = nil
 seed0.seven.unlistedProposal.candidates[9].element = "Hg"
 seed0.seven.unlistedProposal.candidates[9].group = "Hg_La"
 seed0.seven.unlistedProposal.candidates[9].energyKeV = 4023fa5e353f7cee 9.9890000000000008
@@ -1779,6 +1823,7 @@ seed0.seven.unlistedProposal.candidates[9].misfit = 3ff0000000000000 1
 seed0.seven.unlistedProposal.candidates[9].familyNote = nil
 seed0.seven.unlistedProposal.candidates[9].possibleReason = "Adding it improves the fit by 24, below the 100 a new line needs."
 seed0.seven.unlistedProposal.candidates[9].unconfirmable = false
+seed0.seven.unlistedProposal.candidates[9].explainedBySumPeak = nil
 seed0.seven.unlistedProposal.candidates[10].element = "Se"
 seed0.seven.unlistedProposal.candidates[10].group = "Se_Ka"
 seed0.seven.unlistedProposal.candidates[10].energyKeV = 402671a9fbe76c8b 11.222
@@ -1794,6 +1839,7 @@ seed0.seven.unlistedProposal.candidates[10].misfit = 3ff0000000000000 1
 seed0.seven.unlistedProposal.candidates[10].familyNote = nil
 seed0.seven.unlistedProposal.candidates[10].possibleReason = "Adding it improves the fit by 12, below the 100 a new line needs."
 seed0.seven.unlistedProposal.candidates[10].unconfirmable = false
+seed0.seven.unlistedProposal.candidates[10].explainedBySumPeak = nil
 seed0.seven.unlistedProposal.candidates[11].element = "Zn"
 seed0.seven.unlistedProposal.candidates[11].group = "Zn_Ka"
 seed0.seven.unlistedProposal.candidates[11].energyKeV = 4021471de69ad42c 8.6388999999999996
@@ -1821,6 +1867,7 @@ seed0.seven.unlistedProposal.candidates[11].misfit = 3ff0000000000000 1
 seed0.seven.unlistedProposal.candidates[11].familyNote = nil
 seed0.seven.unlistedProposal.candidates[11].possibleReason = "Adding it improves the fit by 8, below the 100 a new line needs."
 seed0.seven.unlistedProposal.candidates[11].unconfirmable = false
+seed0.seven.unlistedProposal.candidates[11].explainedBySumPeak = nil
 seed0.seven.unlistedProposal.candidates[12].element = "Tm"
 seed0.seven.unlistedProposal.candidates[12].group = "Tm_La"
 seed0.seven.unlistedProposal.candidates[12].energyKeV = 401cb8a0902de00d 7.1802999999999999
@@ -1836,6 +1883,7 @@ seed0.seven.unlistedProposal.candidates[12].misfit = 3ff0000000000000 1
 seed0.seven.unlistedProposal.candidates[12].familyNote = nil
 seed0.seven.unlistedProposal.candidates[12].possibleReason = "Adding it improves the fit by 3, below the 100 a new line needs."
 seed0.seven.unlistedProposal.candidates[12].unconfirmable = false
+seed0.seven.unlistedProposal.candidates[12].explainedBySumPeak = nil
 seed0.seven.unlistedProposal.candidates[13].element = "Dy"
 seed0.seven.unlistedProposal.candidates[13].group = "Dy_La"
 seed0.seven.unlistedProposal.candidates[13].energyKeV = 4019fb15b573eab3 6.4951999999999996
@@ -1851,6 +1899,7 @@ seed0.seven.unlistedProposal.candidates[13].misfit = 3ff0000000000000 1
 seed0.seven.unlistedProposal.candidates[13].familyNote = nil
 seed0.seven.unlistedProposal.candidates[13].possibleReason = "Adding it improves the fit by 3, below the 100 a new line needs."
 seed0.seven.unlistedProposal.candidates[13].unconfirmable = false
+seed0.seven.unlistedProposal.candidates[13].explainedBySumPeak = nil
 seed0.seven.unlistedProposal.candidates[14].element = "Re"
 seed0.seven.unlistedProposal.candidates[14].group = "Re_La"
 seed0.seven.unlistedProposal.candidates[14].energyKeV = 40214e075f6fd220 8.6524000000000001
@@ -1878,6 +1927,7 @@ seed0.seven.unlistedProposal.candidates[14].misfit = 3ff0000000000000 1
 seed0.seven.unlistedProposal.candidates[14].familyNote = nil
 seed0.seven.unlistedProposal.candidates[14].possibleReason = "Adding it improves the fit by 3, below the 100 a new line needs."
 seed0.seven.unlistedProposal.candidates[14].unconfirmable = false
+seed0.seven.unlistedProposal.candidates[14].explainedBySumPeak = nil
 seed0.seven.unlistedProposal.candidates[15].element = "Ho"
 seed0.seven.unlistedProposal.candidates[15].group = "Ho_La"
 seed0.seven.unlistedProposal.candidates[15].energyKeV = 401ae0f9096bb98c 6.7196999999999996
@@ -1893,6 +1943,7 @@ seed0.seven.unlistedProposal.candidates[15].misfit = 3ff0000000000000 1
 seed0.seven.unlistedProposal.candidates[15].familyNote = nil
 seed0.seven.unlistedProposal.candidates[15].possibleReason = "Adding it improves the fit by 2, below the 100 a new line needs."
 seed0.seven.unlistedProposal.candidates[15].unconfirmable = false
+seed0.seven.unlistedProposal.candidates[15].explainedBySumPeak = nil
 seed0.seven.unlistedProposal.candidates[16].element = "Tb"
 seed0.seven.unlistedProposal.candidates[16].group = "Tb_La"
 seed0.seven.unlistedProposal.candidates[16].energyKeV = 40191758e219652c 6.2728000000000002
@@ -1932,6 +1983,7 @@ seed0.seven.unlistedProposal.candidates[16].misfit = 3ff0000000000000 1
 seed0.seven.unlistedProposal.candidates[16].familyNote = nil
 seed0.seven.unlistedProposal.candidates[16].possibleReason = "Adding it improves the fit by 1, below the 100 a new line needs."
 seed0.seven.unlistedProposal.candidates[16].unconfirmable = false
+seed0.seven.unlistedProposal.candidates[16].explainedBySumPeak = nil
 seed0.seven.unlistedProposal.candidates[17].element = "Bi"
 seed0.seven.unlistedProposal.candidates[17].group = "Bi_La"
 seed0.seven.unlistedProposal.candidates[17].energyKeV = 4025ad916872b021 10.839
@@ -1947,6 +1999,7 @@ seed0.seven.unlistedProposal.candidates[17].misfit = 3ff0000000000000 1
 seed0.seven.unlistedProposal.candidates[17].familyNote = nil
 seed0.seven.unlistedProposal.candidates[17].possibleReason = "Adding it improves the fit by 17, below the 100 a new line needs."
 seed0.seven.unlistedProposal.candidates[17].unconfirmable = false
+seed0.seven.unlistedProposal.candidates[17].explainedBySumPeak = nil
 seed0.seven.unlistedProposal.candidates[18].element = "Ir"
 seed0.seven.unlistedProposal.candidates[18].group = "Ir_Ma"
 seed0.seven.unlistedProposal.candidates[18].energyKeV = 3fffadab9f559b3d 1.9799
@@ -1974,6 +2027,7 @@ seed0.seven.unlistedProposal.candidates[18].misfit = 3ff0000000000000 1
 seed0.seven.unlistedProposal.candidates[18].familyNote = "Ir Lα (9.17 keV) has a residual peak of 0.0 σ, below the 3 σ its Mβ (2.05 keV) needs: not Ir."
 seed0.seven.unlistedProposal.candidates[18].possibleReason = nil
 seed0.seven.unlistedProposal.candidates[18].unconfirmable = false
+seed0.seven.unlistedProposal.candidates[18].explainedBySumPeak = nil
 seed0.seven.unlistedProposal.candidates[19].element = "Os"
 seed0.seven.unlistedProposal.candidates[19].group = "Os_Ma"
 seed0.seven.unlistedProposal.candidates[19].energyKeV = 3ffe9eecbfb15b57 1.9137999999999999
@@ -2000,6 +2054,7 @@ seed0.seven.unlistedProposal.candidates[19].misfit = 3ff0000000000000 1
 seed0.seven.unlistedProposal.candidates[19].familyNote = "Os Lα (8.91 keV) has a residual peak of 0.0 σ, below the 3 σ its Mβ (1.98 keV) needs: not Os."
 seed0.seven.unlistedProposal.candidates[19].possibleReason = nil
 seed0.seven.unlistedProposal.candidates[19].unconfirmable = false
+seed0.seven.unlistedProposal.candidates[19].explainedBySumPeak = nil
 seed0.seven.unlistedProposal.candidates[20].element = "P"
 seed0.seven.unlistedProposal.candidates[20].group = "P_Ka"
 seed0.seven.unlistedProposal.candidates[20].energyKeV = 40001b3d07c84b5e 2.0133000000000001
@@ -2027,6 +2082,7 @@ seed0.seven.unlistedProposal.candidates[20].misfit = 3ff0000000000000 1
 seed0.seven.unlistedProposal.candidates[20].familyNote = nil
 seed0.seven.unlistedProposal.candidates[20].possibleReason = "Adding it improves the fit by 2, below the 100 a new line needs."
 seed0.seven.unlistedProposal.candidates[20].unconfirmable = false
+seed0.seven.unlistedProposal.candidates[20].explainedBySumPeak = nil
 seed0.seven.unlistedProposal.candidates[21].element = "Sr"
 seed0.seven.unlistedProposal.candidates[21].group = "Sr_La"
 seed0.seven.unlistedProposal.candidates[21].energyKeV = 3ffce76c8b439581 1.8065
@@ -2053,6 +2109,7 @@ seed0.seven.unlistedProposal.candidates[21].misfit = 3ff0000000000000 1
 seed0.seven.unlistedProposal.candidates[21].familyNote = "Sr Kα (14.16 keV) has a residual peak of 0.8 σ, below the 3 σ its Lα (1.81 keV) needs: not Sr."
 seed0.seven.unlistedProposal.candidates[21].possibleReason = nil
 seed0.seven.unlistedProposal.candidates[21].unconfirmable = false
+seed0.seven.unlistedProposal.candidates[21].explainedBySumPeak = nil
 seed0.seven.unlistedProposal.candidates[22].element = "W"
 seed0.seven.unlistedProposal.candidates[22].group = "W_La"
 seed0.seven.unlistedProposal.candidates[22].energyKeV = 4020cb923a29c77a 8.3976000000000006
@@ -2080,6 +2137,7 @@ seed0.seven.unlistedProposal.candidates[22].misfit = 3ff0000000000000 1
 seed0.seven.unlistedProposal.candidates[22].familyNote = nil
 seed0.seven.unlistedProposal.candidates[22].possibleReason = "Adding it improves the fit by 1, below the 100 a new line needs."
 seed0.seven.unlistedProposal.candidates[22].unconfirmable = false
+seed0.seven.unlistedProposal.candidates[22].explainedBySumPeak = nil
 seed0.seven.unlistedProposal.candidates[23].element = "Y"
 seed0.seven.unlistedProposal.candidates[23].group = "Y_La"
 seed0.seven.unlistedProposal.candidates[23].energyKeV = 3ffec2f837b4a234 1.9226000000000001
@@ -2095,6 +2153,7 @@ seed0.seven.unlistedProposal.candidates[23].misfit = 3ff0000000000000 1
 seed0.seven.unlistedProposal.candidates[23].familyNote = "Y Kα (14.96 keV) has a residual peak of 0.3 σ, below the 3 σ its Lβ1 (2.00 keV) needs: not Y."
 seed0.seven.unlistedProposal.candidates[23].possibleReason = nil
 seed0.seven.unlistedProposal.candidates[23].unconfirmable = false
+seed0.seven.unlistedProposal.candidates[23].explainedBySumPeak = nil
 seed0.seven.unlistedProposal.candidates[24].element = "Yb"
 seed0.seven.unlistedProposal.candidates[24].group = "Yb_La"
 seed0.seven.unlistedProposal.candidates[24].energyKeV = 401da9c779a6b50b 7.4157999999999999
@@ -2110,6 +2169,7 @@ seed0.seven.unlistedProposal.candidates[24].misfit = 3ff0000000000000 1
 seed0.seven.unlistedProposal.candidates[24].familyNote = nil
 seed0.seven.unlistedProposal.candidates[24].possibleReason = "Adding it improves the fit by 13, below the 100 a new line needs."
 seed0.seven.unlistedProposal.candidates[24].unconfirmable = false
+seed0.seven.unlistedProposal.candidates[24].explainedBySumPeak = nil
 seed0.seven.unlistedProposal.sumPeaks: n 0 sum 0000000000000000 0 fnv cbf29ce484222325
 seed0.seven.unlistedProposal.refused: array 7
 seed0.seven.unlistedProposal.refused[0].element = "H"
diff --git a/Tests/SpectroEDXTests/DemoEDXAutoIDTests.swift b/Tests/SpectroEDXTests/DemoEDXAutoIDTests.swift
new file mode 100644
index 0000000..d91c829
--- /dev/null
+++ b/Tests/SpectroEDXTests/DemoEDXAutoIDTests.swift
@@ -0,0 +1,82 @@
+import Foundation
+import Testing
+import SpectroTestSupport
+import SpectroCore
+import SpectroEDX
+
+/// Auto ID (`ElementProposer.proposeOnRefinedAxis`, nothing listed) on the Poisson counts of the public AlMgSi demo pools
+/// (mac4DSTEM `demo-edx`, `sim_edx.py` v2.0, `edx-demo-pools.json`). The truth is PLANTED ON SYNTHETIC DATA, not a measurement:
+/// Al, Mg, Si, O, stray Cu K and sum peaks; no Ar, Ag or Pd. Every result stays `validation: "none"`.
+///
+/// Red before: Ar K-alpha (2.957 keV, 15-27 L_D), Ag L-alpha (2.984 keV, 6-11 L_D) and Pd L-alpha (2.838 keV) were listed as
+/// "possible" on every Al-rich pool, though the loop had already given their peak (2.97 keV) to the Al+Al sum column. Now they are
+/// explained by that sum peak and are not possible.
+struct DemoEDXAutoIDTests {
+    static func autoID(_ name: String) throws -> ProposalResult {
+        let c = DemoEDXPoolTests.named(name)
+        let input = DemoEDXPoolTests.input(c, noiseFree: false)
+        return try ElementProposer().proposeOnRefinedAxis(spectrum: input.counts, axis: c.axis, beamEnergy: 200, listed: [],
+                                                          metadata: input.metadata, regionName: name, tables: DemoEDXPoolTests.tables).result
+    }
+
+    @Test(arguments: ["L5", "M_A", "M_matrix"])
+    func theAlAlSumExplainsArAndAg(_ name: String) throws {
+        let p = try Self.autoID(name)
+        let possible = Set(p.possible.map(\.element)), explained = Set(p.explainedBySumPeaks.map(\.element))
+        DemoEDXPoolTests.say("\(name) auto ID: proposed \(p.proposed.map(\.element)), possible \(possible.sorted()), explained \(explained.sorted())")
+        #expect(p.proposed.contains { $0.element == "Al" }, "\(name)")
+        #expect(p.sumPeaks.contains { $0.label == "Al+Al sum" && $0.detected }, "\(name): \(p.sumPeaks)")
+        for el in ["Ar", "Ag"] {
+            #expect(!possible.contains(el), "\(name): \(el) is still possible")
+            #expect(!p.proposed.contains { $0.element == el } && !p.sumPeakQuestions.contains { $0.element == el })
+            let c = try #require(p.candidates.first { $0.element == el }, "\(name): \(el) was not tested")
+            #expect(c.explainedBySumPeak == "Al+Al sum", "\(name): \(el) \(c.explainedBySumPeak ?? "nil")")
+            #expect(c.hasSumPeakQuestion, "\(name): \(el) has no Al+Al conflict")
+        }
+        #expect(p.notes.contains { $0.hasPrefix("Explained as pile-up: ") && $0.contains("Ar") && $0.contains("Al+Al sum") }, "\(name): \(p.notes)")
+        // The pile-up note carries no validation tag.
+        #expect(!p.notes.contains { $0.hasPrefix("Explained as pile-up") && $0.contains("(validation") }, "\(name): \(p.notes)")
+        // Explained is its own tier: never possible, proposed or withheld.
+        for c in p.explainedBySumPeaks {
+            #expect(!c.isProposed && c.familyNote == nil && !p.possible.contains(c))
+        }
+    }
+
+    /// The other side: a real Ar line planted under the Al+Al sum of L5 (Ar K-alpha 2.957 keV, 16 eV from the sum, and its K-beta
+    /// at 3.190 keV, 10 %). One spectrum cannot separate the two: with 1000 Ar counts (about half the sum) the sum column still
+    /// explains the peak (gain there 105800 against 105591), so Ar is explained, but it keeps the sum-peak question and its
+    /// two-current remedy; it is never dropped. With 4000 Ar counts it is a sum-peak question of the proposed tier.
+    @Test(arguments: [1000.0, 4000.0])
+    func aRealArLineKeepsTheSumPeakQuestion(_ arCounts: Double) throws {
+        let c = DemoEDXPoolTests.named("L5")
+        let input = DemoEDXPoolTests.input(c, noiseFree: false)
+        var counts = input.counts.map { Double($0) }
+        for (e, area) in [(2.9577, arCounts), (3.1905, 0.1 * arCounts)] {
+            let fwhm = (130.0 * 130 + 2.5 * (e * 1000 - 5898.7)).squareRoot() / 1000, s = fwhm / 2.354820045
+            for i in counts.indices {
+                let x = c.axis.energy(ofChannel: i)
+                counts[i] += area * c.axis.scale / (s * (2 * Double.pi).squareRoot()) * exp(-0.5 * pow((x - e) / s, 2))
+            }
+        }
+        let r = try ElementProposer().proposeOnRefinedAxis(spectrum: counts.map { UInt64($0.rounded()) }, axis: c.axis, beamEnergy: 200, listed: [],
+                                                           metadata: input.metadata, regionName: "L5+Ar", tables: DemoEDXPoolTests.tables).result
+        let ar = try #require(r.candidates.first { $0.element == "Ar" })
+        DemoEDXPoolTests.say(String(format: "L5 + %.0f Ar: Ar %.1f L_D, proposed %d, question %d, possible %d, explained %@ | %@", arCounts, ar.significance,
+                                    r.proposed.contains(ar) ? 1 : 0, r.sumPeakQuestions.contains(ar) ? 1 : 0, r.possible.contains(ar) ? 1 : 0,
+                                    ar.explainedBySumPeak ?? "-", ar.possibleReason ?? "-"))
+        #expect(ar.hasSumPeakQuestion, "\(arCounts) Ar counts: no sum-peak question")
+        #expect(ar.conflicts.contains { $0.kind == .sumPeak && $0.remedy.contains("different beam currents") })
+        if arCounts >= 4000 {
+            #expect(ar.explainedBySumPeak == nil && r.sumPeakQuestions.contains(ar), "\(arCounts) Ar counts: \(ar.possibleReason ?? "-")")
+        } else {
+            #expect(r.explainedBySumPeaks.contains(ar) || r.sumPeakQuestions.contains(ar) || r.possible.contains(ar))
+        }
+    }
+
+    /// Pure Mg5Si6 (L7): no Al, so no Al+Al column and nothing is explained by it.
+    @Test func noAlNoAlAlExplanation() throws {
+        let p = try Self.autoID("L7")
+        #expect(!p.sumPeaks.contains { $0.label == "Al+Al sum" })
+        #expect(!p.explainedBySumPeaks.contains { $0.explainedBySumPeak == "Al+Al sum" })
+    }
+}