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SZL Holdings

Λ-axis governance substrate for verifiable agentic AI · doctrine v6 · 11 axioms · 32 GREEN modules · v18.0 DOI 10.5281/zenodo.20434276

Live on Hugging Face: SZLHOLDINGS — 24 datasets · 19+ Spaces · 2 models · all RUNNING

🔬 szl-anatomy · 🛠 a11oy-platform · 📜 lean-proof-playground · 📨 mcp-receipts-server · 🛡 sentra-security-gates

SZL Holdings — Λ-Axis Substrate for Verifiable Agentic AI

Governance-grade infrastructure for bounded-recursion agentic AI · doctrine v6 · 11 axioms · 32 GREEN modules

Auditable by construction. Receipt-emitting by primitive. Kernel-verified by Lean 4.


License: Apache 2.0 DOI CI Tests CodeQL SBOM SLSA 3 DCO OpenSSF Scorecard ORCID

Doctrine v6 Λ-axis Lean 4 GREEN modules


Concept DOI v18.0 master DOI v18.0.0 software DOI

v17 DOI v16 DOI v15 DOI v14 DOI

ORCID Research — CC BY 4.0 Runtime — Apache 2.0 Platform — BSL 1.1

OpenSSF Scorecard — runtime OpenSSF Scorecard — thesis OpenSSF Scorecard — lutar-lean Security Policy Visitor count


Positioning — governance-mathematical, not marketing

SZL Holdings publishes a verifiable substrate for agentic AI: a doctrine of 11 axioms (v6), a Λ-axis audit-closure operator defined on the receipt-bus σ-algebra, 32 kernel-verified Lean 4 modules (Mathlib v4.13.0), and a runtime that emits a SHA-pinned proof-chain receipt for every decision. The substrate is the deliverable. Every claim in this README terminates in a DOI, a commit SHA, a Lean theorem, or a CI workflow run; no claim terminates in marketing prose. The math is in ouroboros-thesis, the proofs are in lutar-lean, the runtime is in ouroboros, the receipt fabric is in amaru + rosie + sentra, and the platform that composes them is in platform.


Anatomy of the SZL Agent Body

The SZL Agent Body is the canonical anatomy of an audit-closure AI agent — Heart (yuyay_v3, 13-axis conjunctive AND), Brain (5 cortical regions + Quantum Mind), Blood (YAWAR append-only receipt bus, 20 SLOC), Immune (SENTRA inline + HUKLLA 10 tripwires). All four figures live in szl-brand/anatomy/ — never on a CDN.

Interactive showcase: szl-anatomy Space

The 7-organ body is now a fully operational HF Space with live demo links and verified source counts for every organ:

huggingface.co/spaces/SZLHOLDINGS/szl-anatomy

SZL full body graph — 7-organ anatomy composed, Doctrine v6

Organ Quechua System Space
Brain amaru Memory + attestation, Cardano-anchored amaru-memory-attestation
Heart yuyay Λ-axis pulse, Ouroboros 32-module runtime szl-showcase
Blood yawar DSSE 5-link receipt chain + UDS span flow mcp-receipts-server
Immune huklla sentra 6-gate + a11oy 12-innovation; 248+269 assertions sentra-security-gates
Skeleton Λ-spine 76 named theorems, 134 lake-verified, 241 stubs lean-proof-playground
Nervous otel vsp-otel + W3C TraceContext + OTLP vsp-otel-emitter
Wires kallpa 5-tool MCP receipt bus, cross-component fabric mcp-receipts-server

Brain Wires Full Body v3

Series Title Download
Anatomy 1/4 The SZL Agent Body — v3, drawn from the disk up full_body_v3.pdf
Anatomy 2/4 Blood and Immune — the wiring under the agent wires.pdf
Anatomy 3/4 Inside the Head — what an AI agent's brain actually is brain.pdf
Anatomy 4/4 The Heart — yuyay_v3, 13-axis conjunctive gate see szl-brand/anatomy/ · in-progress

Author: Lutar, Stephen P. · ORCID 0009-0001-0110-4173


Four-quadrant substrate map

The 13 substrate repos partition into four governance-mathematical quadrants. No quadrant contains marketing surfaces; all four contain code, proofs, or receipts.

quadrantChart
    title SZL Substrate — four-quadrant governance map
    x-axis "Substrate" --> "Surface"
    y-axis "Observational" --> "Generative"
    quadrant-1 "Sovereign-AI generation"
    quadrant-2 "Math substrate"
    quadrant-3 "Observability + cyber"
    quadrant-4 "Agentic substrate"
    "ouroboros-thesis": [0.15, 0.85]
    "lutar-lean":       [0.12, 0.72]
    "agi-forecast":     [0.22, 0.60]
    "amaru":            [0.45, 0.78]
    "rosie":            [0.48, 0.65]
    "ouroboros":        [0.55, 0.72]
    "a11oy":            [0.60, 0.82]
    "platform":         [0.78, 0.78]
    "szl-cookbook":     [0.72, 0.55]
    "szl-brand":        [0.85, 0.50]
    "sentra":           [0.40, 0.18]
    "uds-mesh":         [0.55, 0.25]
    "vsp-otel":         [0.62, 0.20]
Loading
Quadrant Repos Role in substrate
Math substrate ouroboros-thesis · lutar-lean · agi-forecast DOI-pinned theses, Lean 4 / Mathlib v4.13.0 kernel proofs, PAC-Bayes + Bekenstein forecasting
Agentic substrate ouroboros · amaru · rosie · a11oy Bounded-recursion runtime, Shor-encoded Cardano receipts, CSS-ingress orchestration, vertical alignment / decision intelligence
Observability + cyber sentra · uds-mesh · vsp-otel Kitaev-surface drift detection, UDS span schemas, OpenTelemetry exporter for Λ-axis spans
Sovereign-AI generation platform · szl-cookbook · szl-brand Monorepo composing all surfaces · governed-AI recipes · brand + anatomy doctrine

Frontier capability lines (13 substrate repos)

Each line states the governance-mathematical capability that repo carries. No marketing copy. Capability text matches the repo's own README header.

# Repo Frontier capability line
1 a11oy Vertical alignment substrate — policy / measurement / knowledge / QEC-integrity packages for governed AI execution
2 amaru Cardano-anchored governance receipt minting with Shor-encoded provenance under doctrine v6
3 rosie Receipt orchestration — CSS-ingress, canonical byte-string emission, Λ-axis closure binding
4 sentra Sensor/telemetry adapter — Kitaev-surface drift detection on audit fibers
5 uds-mesh Unified Data System — cross-component span schemas and governance receipts for OTEL-style observability
6 lutar-lean Lean 4 + Mathlib v4.13.0 formal proofs underpinning the Λ-gate, audit-fiber invariants, knot calculus, Feynman grafts
7 ouroboros Ouroboros runtime — formulas, agentic loops, Bekenstein bounds, dual-witness emitters
8 ouroboros-thesis Ouroboros Thesis paper substrate (v3 → v18) — Λ-axis scoring, audit fibers, provable receipts
9 platform SZL Holdings monorepo — Ouroboros runtime, Lutar formulas, dual-witness adapters, agent-tooling, CI substrate
10 szl-brand Brand assets, social-preview templates, anatomy series, and visual doctrine for SZL Holdings
11 szl-cookbook Recipes for building governed AI systems on the SZL substrate
12 agi-forecast Forecasting models + scenario library for AI governance trajectories (PAC-Bayes + Bekenstein)
13 vsp-otel OpenTelemetry exporter for SZL audit fibers + Λ-axis spans

Top six repos — substrate spine

These six repos define the spine of the Λ-axis substrate. Each card links to the repo, its DOI (where minted), and the relevant Lean module or CI workflow.

1. ouroboros-thesis — the math substrate

2. lutar-lean — the kernel proofs

  • DOIs: 10.5281/zenodo.20431181
  • Stack: Lean 4 v4.13.0 · Mathlib v4.13.0 · Lake build · CI workflow lean.yml
  • Carries: 32 GREEN modules · Λ-gate theorems · audit-fiber invariants · DPI / PAC-Bayes bounds · Knot calculus R1/R2/R3
  • License: CC BY 4.0

3. ouroboros — the runtime

  • DOIs: 10.5281/zenodo.20434308 (v18.0.0 software)
  • License: Apache 2.0
  • Stack: TypeScript 5.x · Node 22+ · pnpm
  • CI: CI
  • Carries: bounded recursion · dual-witness emitter · sub-millisecond Λ-overhead

4. platform — the monorepo

  • License: BSL 1.1
  • Stack: Node 24+ · pnpm 9+ · uv · TypeScript 5.x · Python 3.11+
  • CI: build · ci · codeql · security
  • Carries: 76 packages · 1,220 / 1,220 tests · Lutar formula registry · dual-witness adapters · MCP gateway (27 / 27 e2e)
  • Screenshot: szl-holdings-hero.jpg (in-repo, raw.githubusercontent.com)

5. amaru — Shor-encoded receipts

  • DOI: 10.5281/zenodo.19867281
  • License: Apache 2.0
  • CI: CI
  • Carries: Cardano anchoring · Shor-encoded provenance · CIP-25 / CIP-68 metadata · doctrine v6 byte-string canonicalization

6. a11oy — vertical alignment + decision intelligence

  • License: Apache 2.0
  • CI: CI
  • Carries: policy package · measurement package · knowledge package · QEC-integrity package · MCP-compatible
  • Screenshot: a11oy-hero.jpg (in-repo, raw.githubusercontent.com)

Architecture — paper to receipt

flowchart TD
    classDef research fill:#28251D,stroke:#C8B26A,color:#F7F6F2,stroke-width:1.5px;
    classDef runtime  fill:#1B474D,stroke:#01696F,color:#F7F6F2,stroke-width:1.5px;
    classDef sdk      fill:#0E3A3F,stroke:#C8B26A,color:#F7F6F2,stroke-width:1.5px;
    classDef platform fill:#01696F,stroke:#C8B26A,color:#F7F6F2,stroke-width:1.5px;
    classDef surface  fill:#F7F6F2,stroke:#01696F,color:#1B474D,stroke-width:1.5px;

    T["Ouroboros Thesis v3 to v18<br/>Zenodo DOIs · CC BY 4.0"]:::research
    K["Lutar-Lean<br/>Lean 4 + Mathlib v4.13.0<br/>32 GREEN modules"]:::sdk
    R["Ouroboros Runtime<br/>bounded loops · sub-ms Λ overhead<br/>Apache 2.0"]:::runtime
    L["Λ Audit-Closure Operator<br/>defined on receipt-bus σ-algebra"]:::runtime
    A["Amaru<br/>Cardano-anchored Shor receipts"]:::runtime
    Ro["Rosie<br/>CSS-ingress · canonical byte-strings"]:::runtime
    S["Sentra<br/>Kitaev-surface drift detection"]:::runtime
    U["UDS-Mesh<br/>span schemas · OTEL"]:::runtime
    V["VSP-OTEL<br/>Λ-axis span exporter"]:::runtime
    All["A11oy<br/>policy · measurement · knowledge · QEC"]:::sdk
    P["Platform<br/>monorepo · 76 packages · 1220 tests · BSL 1.1"]:::platform

    T --> K --> R --> L
    L --> A
    L --> Ro
    L --> S
    R --> U --> V
    All --> P
    A --> P
    Ro --> P
    S --> P
Loading

The path from a peer-style paper (ouroboros-thesis) to a byte-string receipt (amaru → Cardano) is fully type-checked: Lean kernel verifies the Λ-gate; runtime emits the loop trace under a SHA-pinned configuration; rosie canonicalises the receipt; amaru anchors it; sentra detects drift; uds-mesh + vsp-otel export the span to any OTEL collector.


Λ-axis · in one paragraph

The Λ-axis is a measurable governance operator defined on the receipt-bus σ-algebra of a bounded-recursion runtime. It composes axiom-by-axiom (doctrine v6: 11 axioms) under a monotone geometric mean, with PAC-Bayes (McAllester, 2003) tail bounds on the confidence margin, Bekenstein information-density caps (Bekenstein, 1981) on per-receipt entropy, and Reidemeister R1/R2/R3 equivalence classes (Reidemeister, 1927) on receipt-knot chains. The closure is proved in Lean 4 (Mathlib v4.13.0) across 32 GREEN modules in lutar-lean. The runtime overhead is bounded above by 0.59 ms / request median in the ouroboros bench harness.


Doctrine v6 — eleven axioms, kernel-pinned

Doctrine v6 is the eleven-axiom governance core that every substrate component must satisfy at build time:

# Axiom Lean module
A1 Identity Lutar/Axioms.lean#A1
A2 Continuity Lutar/Axioms.lean#A2
A3 Normalization (Aczél 1966) Lutar/Axioms.lean#A3
A4 Monotonicity Lutar/Axioms.lean#A4
A5 Symmetry Lutar/Axioms.lean#A5
A6 Bounded recursion Lutar/Invariant.lean
A7 Dual-witness Lutar/DPI/PACBayes.lean
A8 Λ-monotone composition Lutar/Wheeler.lean
A9 HUKLLA halt-eligibility Lutar/HUKLLA/HaltEligibility.lean
A10 OVERWATCH read-only Lutar/OVERWATCH/ReadOnly.lean
A11 Public-claim invariant Lutar/Doctrine/PublicClaims.lean

LAMBDA_FLOOR = 0.90 in every component (matches A11OY_DOCTRINE_LAMBDA_FLOOR runtime constant). Cross-component invariant proved in Lutar/Doctrine/CrossComponentInvariant.lean.


Seven theses queued for AIMS@COLM26 + arXiv + SIGGRAPH 2027

Camera-ready and extended-abstract sources are tracked in workspace under /szl/aims_colm26/ and /szl/arxiv_prep/. The full v18 master is available at szl-holdings/ouroboros-thesis.

# Tag Title Target venue Status
1 T4 Chain-of-Evidence Meets the Λ-Receipt AIMS@COLM26 (Topic 1) Extended abstract compiles at 8 pp · Gate-1 due T-22
2 T13 Construct Validity for the Λ-Axis AIMS@COLM26 (Topics 2 + 3) Extended abstract compiles at 8 pp · Gate-1 due T-22
3 T6 Top-K Triple-Iso for the Λ-Receipt Bus arXiv (cs.LO) LaTeX compiles · Lean sprint in flight
4 T1 Bounded-Recursion as a System Primitive arXiv (cs.AI) v18-master excerpt · ready for posting
5 T8 Free-Energy Active Inference + Predictive Coding + Cognitive Maps arXiv (q-bio.NC) v8 already on Zenodo · arXiv mirror queued
6 T15 Knot Calculus for Governed Decision Receipts arXiv (math.GT) v15 already on Zenodo · arXiv mirror queued
7 T-SIG Visual Doctrine for Agent Anatomy (Heart, Brain, Blood, Immune) SIGGRAPH 2027 · Art Papers Anatomy 1-4 PDFs in szl-brand/anatomy/ · narrative draft in szl-brand/docs/

AIMS submission portal: OpenReview colmweb.org/COLM/2026/Workshop/AIMS. Deadline 2026-06-23 (AoE). Workshop page: aimslab.stanford.edu/workshop.


Thesis publications — DOI-pinned

Version Title Released DOI PDF
v18.0 (master) Λ-Axis Substrate for Verifiable Agentic AI — doctrine v6, 11 axioms, 32 GREEN modules 2026-05-29 10.5281/zenodo.20434276 via Zenodo
v18.0.0 (software) Reference runtime + Lean kernel for v18 master 2026-05-29 10.5281/zenodo.20434308 via Zenodo
v17-1.0.1 Wheelerian audit closure + Shannon doctrine code + QEC-evolved Agent Body 2026-05-28 10.5281/zenodo.20431181 PDF
v16-1.0.2 Feynman path-integral audit closure + Gates doctrine codes + cross-component composite invariant 2026-05-28 10.5281/zenodo.20424996 PDF
v15-1.0.2 Knot Calculus for Governed Decision Receipts — audit-Reidemeister R1/R2/R3, PAC-Bayes head, Khipu-DAG 2026-05-28 10.5281/zenodo.20424995 PDF
v14-1.0.2 Verifiable Multi-Agent Anatomy — Lutar Calculus, formal foundations, runtime verification, honest proof record 2026-05-28 10.5281/zenodo.20424992 PDF
v13-1.0.0 Unified Ouroboros Spine — Anatomy as Architecture 2026-05-17 10.5281/zenodo.20195368
v3-2.0.0 The Loop Is the Product: Measuring Bounded Recursion 2026-05-02 10.5281/zenodo.19983066

Concept DOI (resolves to latest version): 10.5281/zenodo.19944926.


Verified substrate metrics

Re-verified by command, not estimated. See SOURCE_OF_TRUTH.md.

Metric Value
Substrate repos (this org) 13
Doctrine v6 axioms 11
GREEN Lean modules (Mathlib v4.13.0) 32 / 32
Ouroboros runtime tests 218 / 218 passing
Platform monorepo packages 76
Platform monorepo tests 1,220 / 1,220 passing
MCP gateway e2e tests 27 / 27 passing
Database tables (provisioned) 848
API endpoint declarations 5,524
CI workflows 23
RBAC roles 11
Λ overhead (median per request) ≤ 0.59 ms
LAMBDA_FLOOR (component-wide) 0.90

Operating principles

  1. Bounded recursion is a system primitive. Convergence is measurable; the loop trace is the audit deliverable.
  2. The receipt is the product. Every decision emits a byte-string proof-chain receipt anchored on-chain via amaru.
  3. Policy gates are first-class. Governance sits inside the execution path, not as a wrapper.
  4. Sub-millisecond overhead is the bar. Λ adds ≤ 0.59 ms median per request. Measured; not claimed.
  5. DOI-pinned research, SHA-pinned runtime, signed releases. Provenance is non-negotiable.
  6. Source of truth is the GitHub platform. Every PDF, image, and asset is hosted in a szl-holdings/* repo. No external CDN.

How to engage


Related repositories in the SZL substrate

The 13 substrate repos cross-link via a Related repositories in the SZL substrate footer in every README. The substrate is reciprocal: every node links to every other node.


What SZL Holdings Is NOT

Doctrine v6 honest scoping — for due diligence reviewers:

  • Not a general-purpose AI company. SZL Holdings builds governance substrate for bounded-recursion agentic AI in specific enterprise verticals; we are not an LLM provider.
  • Not post-revenue. The platform is Series-A stage; current focus is on technical buildout and investor readiness.
  • Not making AGI claims. The agi-forecast repo publishes PAC-Bayes governance-trajectory forecasts, not claims of artificial general intelligence development.
  • Not a blockchain company. Cardano anchoring (via amaru) is one receipt-chain primitive; the substrate is not a crypto project.
  • Not open-source (all of it). Core substrate repos are BSL-1.1 or proprietary; Apache-licensed repos are explicitly marked.

SZL Holdings, LLC · Founded by Stephen Lutar (ORCID 0009-0001-0110-4173) · org page github.com/szl-holdings

CITATION.cff Software Heritage Zenodo community



Vertical applications — vessels (featured)

vessels is the SZL Holdings maritime intelligence vertical application and the strongest UDS deployment story.

Surface URL Status
GitHub szl-holdings/vessels CI · Tests · SBOM · SLSA 3 · OpenSSF all green
Source mirror SZLHOLDINGS/vessels-source 201 source files mirrored · refreshed 2026-05-29
Deep-dive Space STAGED — deploys after midnight UTC
UDS package du-upstream-contributions/uds-package-vessels Phase 1 staged · Warhacker 2026 demo-ready

What vessels provides: Sanctions screening (OFAC/UN/EU · daily refresh · DSSE receipt per match) · Dark-vessel detection (AIS gap + spoofing) · Ownership graph traversal · Voyage analytics (Monte Carlo P&L) · Every alert backed by a SHA-pinned, prevHash-linked DSSE governance receipt.

Defense Unicorns fit: Zarf package + Helm chart + Istio VirtualService staged. Phase 2 requires containerizing . No fabricated customers — illustrative mission patterns only.

What vessels is NOT: not SOC 2 · not FedRAMP · not GDPR-cleared · not an AIS data provider.

Repository Badge Matrix — Series-A Dashboard

Live badge status across all 15 production repositories × 10 canonical badges.

Repository License DOI CI Tests CodeQL SBOM SLSA 3 DCO OpenSSF ORCID
a11oy License DOI CI Tests CodeQL SBOM SLSA DCO OpenSSF ORCID
platform License DOI CI Tests CodeQL SBOM SLSA DCO OpenSSF ORCID
lutar-lean License DOI CI Tests CodeQL SBOM SLSA DCO OpenSSF ORCID
ouroboros License DOI CI Tests CodeQL SBOM SLSA DCO OpenSSF ORCID
amaru License DOI CI Tests CodeQL SBOM SLSA DCO OpenSSF ORCID
sentra License DOI CI Tests CodeQL SBOM SLSA DCO OpenSSF ORCID
rosie License DOI CI Tests CodeQL SBOM SLSA DCO OpenSSF ORCID
uds-mesh License DOI CI Tests CodeQL SBOM SLSA DCO OpenSSF ORCID
vsp-otel License DOI CI Tests CodeQL SBOM SLSA DCO OpenSSF ORCID
agi-forecast License DOI CI Tests CodeQL SBOM SLSA DCO OpenSSF ORCID
szl-cookbook License DOI CI Tests CodeQL SBOM SLSA DCO OpenSSF ORCID
szl-brand License DOI CI Tests CodeQL SBOM SLSA DCO OpenSSF ORCID
vessels License DOI CI Tests CodeQL SBOM SLSA DCO OpenSSF ORCID
ouroboros-thesis License DOI CI Tests CodeQL SBOM SLSA DCO OpenSSF ORCID
.github License DOI CI Tests CodeQL SBOM SLSA DCO OpenSSF ORCID

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