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
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.
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.
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.
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
| 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 |
| 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
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]
| 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 |
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 |
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.
- DOIs: v18.0 master
10.5281/zenodo.20434276· concept10.5281/zenodo.19944926 - License: CC BY 4.0
- Carries: 11 axioms · Λ-axis closure operator · audit-fiber sheaf · receipt-bus σ-algebra
- Cite:
CITATION.cff
- 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
- DOIs:
10.5281/zenodo.20434308(v18.0.0 software) - License: Apache 2.0
- Stack: TypeScript 5.x · Node 22+ · pnpm
- CI:
- Carries: bounded recursion · dual-witness emitter · sub-millisecond Λ-overhead
- License: BSL 1.1
- Stack: Node 24+ · pnpm 9+ · uv · TypeScript 5.x · Python 3.11+
- CI:
·
·
·
- 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)
- DOI:
10.5281/zenodo.19867281 - License: Apache 2.0
- CI:
- Carries: Cardano anchoring · Shor-encoded provenance · CIP-25 / CIP-68 metadata · doctrine v6 byte-string canonicalization
- License: Apache 2.0
- CI:
- Carries: policy package · measurement package · knowledge package · QEC-integrity package · MCP-compatible
- Screenshot:
a11oy-hero.jpg(in-repo, raw.githubusercontent.com)
flowchart TD
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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
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.
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 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.
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.
| Version | Title | Released | DOI | |
|---|---|---|---|---|
| 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 |
|
| v16-1.0.2 | Feynman path-integral audit closure + Gates doctrine codes + cross-component composite invariant | 2026-05-28 | 10.5281/zenodo.20424996 |
|
| 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 |
|
| v14-1.0.2 | Verifiable Multi-Agent Anatomy — Lutar Calculus, formal foundations, runtime verification, honest proof record | 2026-05-28 | 10.5281/zenodo.20424992 |
|
| 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.
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 |
- Bounded recursion is a system primitive. Convergence is measurable; the loop trace is the audit deliverable.
- The receipt is the product. Every decision emits a byte-string proof-chain receipt anchored on-chain via
amaru. - Policy gates are first-class. Governance sits inside the execution path, not as a wrapper.
- Sub-millisecond overhead is the bar. Λ adds ≤ 0.59 ms median per request. Measured; not claimed.
- DOI-pinned research, SHA-pinned runtime, signed releases. Provenance is non-negotiable.
- Source of truth is the GitHub platform. Every PDF, image, and asset is hosted in a
szl-holdings/*repo. No external CDN.
- Builders / integrators → start with the runtime and the Lean proofs.
- Researchers → read the v18 master, cite via concept DOI
10.5281/zenodo.19944926. - AIMS@COLM26 reviewers → see T4 / T13 extended abstracts queued in
ouroboros-thesis. - Security disclosures → Security Policy (private vulnerability reporting enabled) · contact stephen@szlholdings.com.
- Enterprise / press → stephen@szlholdings.com.
- Org page → github.com/szl-holdings (canonical home).
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.
a11oy— vertical alignment substrateamaru— Shor-encoded receipt mintingrosie— CSS-ingress receipt orchestrationsentra— Kitaev-surface drift detectionuds-mesh— UDS span schemas + governance receiptslutar-lean— Lean 4 + Mathlib kernel proofsouroboros— bounded-recursion runtimeouroboros-thesis— DOI-pinned thesis substrateplatform— composing monoreposzl-brand— anatomy + visual doctrineszl-cookbook— governed-AI recipesagi-forecast— PAC-Bayes + Bekenstein forecastsvsp-otel— OTEL exporter for Λ-axis spans
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-forecastrepo 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
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.
Live badge status across all 15 production repositories × 10 canonical badges.
| Repository | License | DOI | CI | Tests | CodeQL | SBOM | SLSA 3 | DCO | OpenSSF | ORCID |
|---|---|---|---|---|---|---|---|---|---|---|
| a11oy | ||||||||||
| platform | ||||||||||
| lutar-lean | ||||||||||
| ouroboros | ||||||||||
| amaru | ||||||||||
| sentra | ||||||||||
| rosie | ||||||||||
| uds-mesh | ||||||||||
| vsp-otel | ||||||||||
| agi-forecast | ||||||||||
| szl-cookbook | ||||||||||
| szl-brand | ||||||||||
| vessels | ||||||||||
| ouroboros-thesis | ||||||||||
| .github |
