SZL Holdings is a governed decision-intelligence substrate for regulated enterprises — a Λ-axis audit-closure operator, proved in Lean 4 (Mathlib v4.13.0), running at sub-millisecond overhead, emitting a SHA-pinned receipt for every decision.

Org page: github.com/szl-holdings

Thesis v18.0 — published 2026-05-29.

• Master DOI: 10.5281/zenodo.20434276
• Software DOI: 10.5281/zenodo.20434308
• Concept DOI (always latest): 10.5281/zenodo.19944926

Warhacker 2026 (June 16–20) — SZL Governance Receipts on UDS. k3d + uds-cli + Pepr DSSE receipt policy. Tracked in szl-holdings/platform (Warhacker deployment branch).

AIMS@COLM26 — T4 / T13 extended abstracts queued in ouroboros-thesis/aims_colm26/ (in-progress).

Runtime overhead — ≤ 0.59 ms median per request. Measured across 24,800 paired HTTP calls (v11 bench, 10.5281/zenodo.20119582).

Six repos pinned in GitHub UI. Pin them at github.com/stephenlutar2-hash:

flowchart TD
    classDef research fill:#28251D,stroke:#C8B26A,color:#F7F6F2;
    classDef kernel   fill:#1F3B73,stroke:#2D5BB9,color:#F7F6F2;
    classDef runtime  fill:#1B474D,stroke:#01696F,color:#F7F6F2;
    classDef platform fill:#01696F,stroke:#C8B26A,color:#F7F6F2;
    classDef surface  fill:#0a0a0f,stroke:#00d4ff,color:#e0e8ef;

    T["Ouroboros Thesis<br/>v1 → v18 published<br/>concept DOI 10.5281/zenodo.19944926"]:::research
    L["Lutar-Lean<br/>Lean 4 + Mathlib v4.13.0<br/>30 GREEN modules · 76 theorems"]:::kernel
    R["Ouroboros Runtime<br/>Λ-gate · receipt bus · Bekenstein<br/>≤ 0.59 ms median overhead"]:::runtime
    P["SZL Holdings Platform<br/>19 public repos · 7 vertical surfaces"]:::platform
    A["A11oy"]:::surface
    S["Sentra"]:::surface
    AM["Amaru"]:::surface
    V["Vessels"]:::surface
    TE["Terra"]:::surface
    C["Counsel"]:::surface
    CJ["Carlota Jo"]:::surface

    T --> L
    T --> R
    L -.bit-exact JSON.-> R
    R --> P
    P --> A & S & AM & V & TE & C & CJ

18 published versions. Every claim terminates in a DOI, a commit SHA, a Lean theorem, or a CI run.

Concept DOI (always latest): 10.5281/zenodo.19944926

• Lean-kernel proof that Λ_k(x) = (∏ xᵢ)^(1/k) is the unique aggregator satisfying axioms A1–A4 (monotone · homogeneous · Egyptian-exact · bounded). Source.
• Bit-exact reproduction of Λ₉ on published golden vectors across three production runtimes (a11oy / amaru / sentra) and the Lean Float implementation. Reference vectors.
• Measured per-request overhead across 24,800 paired HTTP calls (v11 paper, 10.5281/zenodo.20119582).
• Not a quantum computer. Quantum modules use quantum-analogy math to derive bounds on classical hardware.
• Not a free-energy device. "Free-energy" is Friston variational FEP, not thermodynamic free energy.

Languages: TypeScript · Python · Lean 4 · Bash Runtime: Node.js 24 · pnpm 10 · React · Vite Data: PostgreSQL (Neon) · Drizzle ORM · Redis · pgvector Cloud: Hetzner · Cloudflare · Sigstore · Zenodo Quality: Vitest · Playwright · CodeQL · Trivy · Gitleaks · OpenSSF Scorecard · Lean kernel Observability: OpenTelemetry · Pino · PM2

Stephen P. Lutar Jr. — Founder & CEO, SZL Holdings

_{© 2026 Stephen P. Lutar Jr. — Code: Apache-2.0. Research: CC BY 4.0. Every test count and DOI on this page is verifiable; see linked audit logs and reference-vectors.json. Profile auto-refreshed by update-stats.yml.}