Proof — Lean kernel, data lake, and DOIs
Every SZL claim is meant to be checked. This page is the proof index: the machine-checked Lean kernel, the public attestation lake, and the persistent Zenodo DOIs. For the full reproduction commands and commit anchors, see Evidence.
Doctrine v11 LOCKED — 749 declarations / 14 unique axioms / 163 tracked sorries · kernel
c7c0ba17. Λ = Conjecture 1 (not a theorem). SLSA L1 honest (cosign-signed, keyless Sigstore — L2 provenance attestation is roadmap, not yet claimed).
See the math — interactive proof replay
Don't take our word for it — type-check the proofs yourself, in your browser, zero install. The flagship a11oy ships an interactive /proof surface: a Tao-Blueprint-style dependency graph over SZL's real formal core, where each green node carries the verbatim Lean 4 source from lutar-lean and a See the math button that loads that source into the official Lean 4 web kernel and checks it live.
We label honestly:
| Node | Status | Honest label |
|---|---|---|
| Theorem U (Λ-uniqueness, conditional) | proven · axiom-free · sorry-free | green — #print axioms = Lean core only |
8 locked-proven formulas {F1,F4,F7,F11,F12,F18,F19,F22} | proven · self-contained | green — type-check live in-browser |
| Conjecture 1 (Λ-uniqueness, unconditional) | OPEN — machine-checked false under A1–A5 | gray — ships statement-only with a real sorry; never green |
| Conjecture 2 (Khipu BFT safety) | open | gray — not yet formalized |
Honest scope. F12 (Kuramoto) and F19 (Bekenstein) prove the additive fragment only — not the full nonlinear / physical model — per
PROVEN_FORMULAS.md. The locked-proven count is 8, machine-enforced byLutar.Wave8.AxiomDisclosure.locked_count_eight.
Type-check a real SZL formula now, no install (opens the Lean 4 web kernel, source pre-loaded):
Each link loads SZL's actual Lean source — the kernel re-checks it from scratch. The full graph (Theorem U, all 8 formulas, and the open conjectures with their honest sorry) lives on the interactive a11oy /proof surface.
Lean kernel — lutar-lean
The machine-checked proof corpus.
- Repo:
szl-holdings/lutar-lean—Lutar/ - Locked snapshot: tag
lutar-v18.0.0/c7c0ba17— 749 / 14 / 163 (lake buildclean) - Key files:
Lutar/Axioms.lean(A1–A4),Lutar/Khipu/SummationInvariant.lean,Lutar/QEC/KitaevSurface,Lutar/DPI/DPIBound.lean(Pinsker) - PURIQ obligations:
formulas/PuriqLean.lean—puriq_halting_safety,puriq_lambda_monotone,puriq_khipu_integrity,puriq_bekenstein_bound(allsorry-tagged, never hidden)
Reproduce the canonical figures yourself:
gh repo clone szl-holdings/lutar-lean /tmp/lutar -- --depth 1
cd /tmp/lutar
DECL=$(grep -rE '^(theorem|lemma|def|abbrev|axiom) ' --include='*.lean' Lutar/ | wc -l)
SORRY=$(grep -rE '\bsorry\b' --include='*.lean' Lutar/ | wc -l)
echo "Lean: $DECL declarations / $SORRY sorries"Honest scope.
lake buildrequires Mathlib (~12 GB); the sandbox cannot build it, so Lean verification is performed in GitHub Actions CI only. Λ uniqueness remains a Conjecture — it depends on the openCAUCHY_NDsorry (Uniqueness.lean:120) plus a missing symmetry axiom.
Data lake — szl-lake
The public attestation lake: DSSE receipts, doctrine snapshots, Khipu chains, SBOMs, and evaluation trajectories.
- GitHub:
szl-holdings/szl-lake - Hugging Face:
SZLHOLDINGS/szl-lake - Layout (7 dirs):
attestations/·doctrine/·keys/·khipu/·papers/·sboms/·trajectories/ - Lean companion DOI: 10.5281/zenodo.20424992
Zenodo DOIs
The Ouroboros Thesis and supporting artifacts are deposited with persistent DOIs.
| DOI | Role |
|---|---|
| 10.5281/zenodo.20434276 | Ouroboros Thesis v18.0 (versioned) — cited by every flagship |
| 10.5281/zenodo.19944926 | Concept DOI (always-latest) |
| 10.5281/zenodo.20424992 | Lean companion |
| 10.5281/zenodo.20434308 · 20431181 | Supporting artifacts |
A complete, versioned list is maintained in the thesis repository's CITATION.cff. The Evidence page carries the full DOI register and commit anchors.
Doctrine v11 LOCKED · 749/14/163 · kernel c7c0ba17 · Λ = Conjecture 1 · SLSA L1 honest (L2 provenance attestation = roadmap)