id stringlengths 64 64 | kind stringclasses 1
value | payload dict | schema stringclasses 1
value | source stringclasses 1
value | ts stringlengths 27 27 |
|---|---|---|---|---|---|
01fe738d0a34361c34ea28ceba2131c5fbfacc5d6ede49f3cb7dd0d3c8f65658 | formula | {
"asset": "formula",
"callable": "kitaev_surface_correct",
"doctrine": "v11",
"name": "kitaev_surface_correct",
"note": "proof_status is copied verbatim from the runtime registry; PROVEN/AXIOM/SORRY/REAL/CONJECTURE reflect the Lean kernel + Doctrine v11 honesty surface, NOT a marketing claim.",
"proof_stat... | szl.hf.bucket.record/v1 | a11oy | 2026-06-12T02:09:31.431285Z |
03793f583ae8a2a723d6f42cd48770a5555e77f918b4d3c784f1f479a67a8ea7 | formula | {
"asset": "formula",
"callable": "schur_concave_lambda_two_axis",
"doctrine": "v11",
"name": "schur_concave_lambda_two_axis",
"note": "proof_status is copied verbatim from the runtime registry; PROVEN/AXIOM/SORRY/REAL/CONJECTURE reflect the Lean kernel + Doctrine v11 honesty surface, NOT a marketing claim.",... | szl.hf.bucket.record/v1 | a11oy | 2026-06-12T02:09:31.435842Z |
0e74b38beb1ebe5f3a8d394e7bc9ab0ed10faac76eafd4ad864d663b631c6fc4 | formula | {
"asset": "formula",
"callable": "khipu_merkle_root",
"doctrine": "v11",
"name": "khipu_merkle_root",
"note": "proof_status is copied verbatim from the runtime registry; PROVEN/AXIOM/SORRY/REAL/CONJECTURE reflect the Lean kernel + Doctrine v11 honesty surface, NOT a marketing claim.",
"proof_status": "PROV... | szl.hf.bucket.record/v1 | a11oy | 2026-06-12T02:09:31.430906Z |
116430492012aed73b755069dca971d1cdd44eaf874bf9e6bf387532ef92558e | formula | {
"asset": "formula",
"callable": "css_ingress_verify",
"doctrine": "v11",
"name": "css_ingress_verify",
"note": "proof_status is copied verbatim from the runtime registry; PROVEN/AXIOM/SORRY/REAL/CONJECTURE reflect the Lean kernel + Doctrine v11 honesty surface, NOT a marketing claim.",
"proof_status": "PR... | szl.hf.bucket.record/v1 | a11oy | 2026-06-12T02:09:31.427646Z |
1b4ee9dd1b4860916a62003e3415905e24fad866af10907de9df23a2b09bebee | formula | {
"asset": "formula",
"callable": "fisher_rao_distance",
"doctrine": "v11",
"name": "fisher_rao_distance",
"note": "proof_status is copied verbatim from the runtime registry; PROVEN/AXIOM/SORRY/REAL/CONJECTURE reflect the Lean kernel + Doctrine v11 honesty surface, NOT a marketing claim.",
"proof_status": "... | szl.hf.bucket.record/v1 | a11oy | 2026-06-12T02:09:31.429451Z |
1c3482ba59cfd82e0858a7f986d43884728ee42190dfbaa0f60d9ac2229b5791 | formula | {
"asset": "formula",
"callable": "reed_solomon_singleton",
"doctrine": "v11",
"name": "reed_solomon_singleton",
"note": "proof_status is copied verbatim from the runtime registry; PROVEN/AXIOM/SORRY/REAL/CONJECTURE reflect the Lean kernel + Doctrine v11 honesty surface, NOT a marketing claim.",
"proof_stat... | szl.hf.bucket.record/v1 | a11oy | 2026-06-12T02:09:31.435208Z |
35f044e28d2b865ad7c1da895138ad8490052fca8e569bcaa03df0390714b83d | formula | {
"asset": "formula",
"callable": "pinsker_kl_bound",
"doctrine": "v11",
"name": "pinsker_kl_bound",
"note": "proof_status is copied verbatim from the runtime registry; PROVEN/AXIOM/SORRY/REAL/CONJECTURE reflect the Lean kernel + Doctrine v11 honesty surface, NOT a marketing claim.",
"proof_status": "AXIOM(... | szl.hf.bucket.record/v1 | a11oy | 2026-06-12T02:09:31.434828Z |
53c6cbf033c33e6762534b56e2448e4bd5087ca44e0b3d3e817937c83c51f0fe | formula | {
"asset": "formula",
"callable": "gleason_quantum_lambda",
"doctrine": "v11",
"name": "gleason_quantum_lambda",
"note": "proof_status is copied verbatim from the runtime registry; PROVEN/AXIOM/SORRY/REAL/CONJECTURE reflect the Lean kernel + Doctrine v11 honesty surface, NOT a marketing claim.",
"proof_stat... | szl.hf.bucket.record/v1 | a11oy | 2026-06-12T02:09:31.429710Z |
6bee866855be08b1ec45ffe381f24aa9692c5a2875ee9d276f4470e0462c87a1 | formula | {
"asset": "formula",
"callable": "lambda_bounded",
"doctrine": "v11",
"name": "lambda_bounded",
"note": "proof_status is copied verbatim from the runtime registry; PROVEN/AXIOM/SORRY/REAL/CONJECTURE reflect the Lean kernel + Doctrine v11 honesty surface, NOT a marketing claim.",
"proof_status": "PROVEN(A4,... | szl.hf.bucket.record/v1 | a11oy | 2026-06-12T02:09:31.432915Z |
7258187c176c866c32bd9f628e1a7203040b08c1315ca9ed033e582485deba45 | formula | {
"asset": "formula",
"callable": "lambda_aggregate",
"doctrine": "v11",
"name": "lambda_aggregate",
"note": "proof_status is copied verbatim from the runtime registry; PROVEN/AXIOM/SORRY/REAL/CONJECTURE reflect the Lean kernel + Doctrine v11 honesty surface, NOT a marketing claim.",
"proof_status": "PROVEN... | szl.hf.bucket.record/v1 | a11oy | 2026-06-12T02:09:31.432614Z |
886a7fc59a2bc8d360f97d2198ca9035a2f71f862c99d6804432020630744f56 | formula | {
"asset": "formula",
"callable": "hoeffding_tail",
"doctrine": "v11",
"name": "hoeffding_tail",
"note": "proof_status is copied verbatim from the runtime registry; PROVEN/AXIOM/SORRY/REAL/CONJECTURE reflect the Lean kernel + Doctrine v11 honesty surface, NOT a marketing claim.",
"proof_status": "PROVEN(Mom... | szl.hf.bucket.record/v1 | a11oy | 2026-06-12T02:09:31.430626Z |
88e2e9ff0503c0729e58edb498e2f9993159144ae0b0ace8f011831fd1312d7b | formula | {
"asset": "formula",
"callable": "dsse_envelope",
"doctrine": "v11",
"name": "dsse_envelope",
"note": "proof_status is copied verbatim from the runtime registry; PROVEN/AXIOM/SORRY/REAL/CONJECTURE reflect the Lean kernel + Doctrine v11 honesty surface, NOT a marketing claim.",
"proof_status": "PROVEN(struc... | szl.hf.bucket.record/v1 | a11oy | 2026-06-12T02:09:31.427991Z |
897f8072ca40b40eb11b7b8313fc2f3cf9cab76d24e1d78f1383c2d91457aeb3 | formula | {
"asset": "formula",
"callable": "kochen_specker_18vector_witness",
"doctrine": "v11",
"name": "kochen_specker_18vector_witness",
"note": "proof_status is copied verbatim from the runtime registry; PROVEN/AXIOM/SORRY/REAL/CONJECTURE reflect the Lean kernel + Doctrine v11 honesty surface, NOT a marketing clai... | szl.hf.bucket.record/v1 | a11oy | 2026-06-12T02:09:31.431640Z |
ac445619658c051d4ad0267f036abc1d13dace8176bac70dc1903da72a95228f | formula | {
"asset": "formula",
"callable": "lambda_homogeneous",
"doctrine": "v11",
"name": "lambda_homogeneous",
"note": "proof_status is copied verbatim from the runtime registry; PROVEN/AXIOM/SORRY/REAL/CONJECTURE reflect the Lean kernel + Doctrine v11 honesty surface, NOT a marketing claim.",
"proof_status": "AX... | szl.hf.bucket.record/v1 | a11oy | 2026-06-12T02:09:31.433212Z |
ae02cfc535b8470fc2d5896898a88a291a5ba97877cb4b7ae8877badf17f2d33 | formula | {
"asset": "formula",
"callable": "two_witness_ks18_soundness",
"doctrine": "v11",
"name": "two_witness_ks18_soundness",
"note": "proof_status is copied verbatim from the runtime registry; PROVEN/AXIOM/SORRY/REAL/CONJECTURE reflect the Lean kernel + Doctrine v11 honesty surface, NOT a marketing claim.",
"pr... | szl.hf.bucket.record/v1 | a11oy | 2026-06-12T02:09:31.436442Z |
b0405310d6cdf3b26ef8c8b477a0afb2b2d1529fbf162470897a5a0b66531051 | formula | {
"asset": "formula",
"callable": "bekenstein_cascade",
"doctrine": "v11",
"name": "bekenstein_cascade",
"note": "proof_status is copied verbatim from the runtime registry; PROVEN/AXIOM/SORRY/REAL/CONJECTURE reflect the Lean kernel + Doctrine v11 honesty surface, NOT a marketing claim.",
"proof_status": "PR... | szl.hf.bucket.record/v1 | a11oy | 2026-06-12T02:09:31.425797Z |
b8e35ba390860bf08a85c8447dedddb0281be39acd165d0f114282d700cc1078 | formula | {
"asset": "formula",
"callable": "pac_bayes_mcallester",
"doctrine": "v11",
"name": "pac_bayes_mcallester",
"note": "proof_status is copied verbatim from the runtime registry; PROVEN/AXIOM/SORRY/REAL/CONJECTURE reflect the Lean kernel + Doctrine v11 honesty surface, NOT a marketing claim.",
"proof_status":... | szl.hf.bucket.record/v1 | a11oy | 2026-06-12T02:09:31.434587Z |
b93b867c285cd457c41f7d7e808232ba11e95939c78bdeef7514f9bb2ae4cf6d | formula | {
"asset": "formula",
"callable": "bohr_complementarity_floor",
"doctrine": "v11",
"name": "bohr_complementarity_floor",
"note": "proof_status is copied verbatim from the runtime registry; PROVEN/AXIOM/SORRY/REAL/CONJECTURE reflect the Lean kernel + Doctrine v11 honesty surface, NOT a marketing claim.",
"pr... | szl.hf.bucket.record/v1 | a11oy | 2026-06-12T02:09:31.426315Z |
cad98fce3cece537e765de56fad938800cee95c14f5d7c5750059f6486e64fb5 | formula | {
"asset": "formula",
"callable": "shor_codeword_distance",
"doctrine": "v11",
"name": "shor_codeword_distance",
"note": "proof_status is copied verbatim from the runtime registry; PROVEN/AXIOM/SORRY/REAL/CONJECTURE reflect the Lean kernel + Doctrine v11 honesty surface, NOT a marketing claim.",
"proof_stat... | szl.hf.bucket.record/v1 | a11oy | 2026-06-12T02:09:31.436077Z |
cc9db109642adc90e0199b3f1b9c8c15c169ee77ea485878de532b9192fc7985 | formula | {
"asset": "formula",
"callable": "dsse_envelope_real",
"doctrine": "v11",
"name": "dsse_envelope_real",
"note": "proof_status is copied verbatim from the runtime registry; PROVEN/AXIOM/SORRY/REAL/CONJECTURE reflect the Lean kernel + Doctrine v11 honesty surface, NOT a marketing claim.",
"proof_status": "RE... | szl.hf.bucket.record/v1 | a11oy | 2026-06-12T02:09:31.428355Z |
dd3a6d7b44626daa8e7a442c3d38d85aa4b800dfac8e3b2132131f5b67448b9a | formula | {
"asset": "formula",
"callable": "madhava_series",
"doctrine": "v11",
"name": "madhava_series",
"note": "proof_status is copied verbatim from the runtime registry; PROVEN/AXIOM/SORRY/REAL/CONJECTURE reflect the Lean kernel + Doctrine v11 honesty surface, NOT a marketing claim.",
"proof_status": "PROVEN(alt... | szl.hf.bucket.record/v1 | a11oy | 2026-06-12T02:09:31.434286Z |
fd10def4173e87458ab4a552869457f482dfb7407fcaa7706180c2fb27475d20 | formula | {
"asset": "formula",
"callable": "reidemeister_invariant",
"doctrine": "v11",
"name": "reidemeister_invariant",
"note": "proof_status is copied verbatim from the runtime registry; PROVEN/AXIOM/SORRY/REAL/CONJECTURE reflect the Lean kernel + Doctrine v11 honesty surface, NOT a marketing claim.",
"proof_stat... | szl.hf.bucket.record/v1 | a11oy | 2026-06-12T02:09:31.435586Z |
a11oy — Verifiable Corpus · verify it yourself
This dataset publishes a11oy's signed receipts and proof surface so that anyone can independently verify them — no trust in SZL Holdings required. Every receipt here carries the full cryptographic material needed to check its signature offline; every proof claim is copied verbatim from its kernel-checked source.
It is produced by the append-only, content-addressed
szl_hf_bucket client and published by
szl_corpus_publish.py. Records are append-only and idempotent:
re-publishing the same logical record dedups to a single stored entry; a genuine
change lands as a new record, so the history is preserved.
Honesty first. This corpus deliberately does not overstate anything. See Honesty & scope before drawing conclusions.
Layout
receipts/<YYYY-MM-DD>.ndjson receipts/head.json # signed DSSE receipts + verification data
theorems/<YYYY-MM-DD>.ndjson theorems/head.json # kernel-verified theorem list (verbatim)
formulas/<YYYY-MM-DD>.ndjson formulas/head.json # formula registry + proof_status (verbatim)
Each *.ndjson is one JSON record per line. Each line is a bucket envelope:
{ "schema": "szl.hf.bucket.record/v1", "id": "<sha256>", "ts": "...",
"source": "a11oy", "kind": "receipt|theorem|formula", "payload": { ... } }
The id is content-addressed over {source, kind, content} — not the
timestamp — which is what makes re-publishing idempotent. head.json is the
chain-state (count / last id / shards). The asset record lives under payload
(payload.schema == "szl.a11oy.corpus.record/v1").
Load it
Three configs are declared — receipts, theorems, and formulas:
from datasets import load_dataset
# signed DSSE receipts (default working config)
receipts = load_dataset("SZLHOLDINGS/a11oy-verifiable-corpus", "receipts", split="train")
print(receipts[0])
# the other two configs
theorems = load_dataset("SZLHOLDINGS/a11oy-verifiable-corpus", "theorems", split="train")
formulas = load_dataset("SZLHOLDINGS/a11oy-verifiable-corpus", "formulas", split="train")
Every row is the szl.hf.bucket.record/v1 envelope above; the verify-it-yourself snippets below let you check each receipt's signature independently.
1 · Receipts (receipts/)
payload.asset == "receipt". Two signature schemes appear, both real — the
publisher never emits an unsigned or placeholder envelope:
payload.scheme |
meaning | how it was signed |
|---|---|---|
ecdsa-p256-dsse-pae |
a11oy Khipu receipt | ECDSA-P256-SHA256 over the DSSE PAE, signed with the SZL Holdings cosign key |
sigstore-keyless-dsse |
governance gate receipt | Sigstore keyless (Fulcio cert + Rekor transparency log), minted only inside CI |
payload.envelope is the complete DSSE envelope. payload.verify tells you
exactly how to check it. payload.receipt_uid is the stable sha256 of the
signed content (the PAE), independent of the publish time.
Verify an ecdsa-p256-dsse-pae receipt yourself
The signature is a DER-encoded ECDSA-P256 signature over the DSSE PAE:
PAE = b"DSSEv1 " + len(payloadType) + b" " + payloadType + b" " + len(payload) + b" " + payload
where payload is the base64-decoded envelope.payload. Verify against the
published public key
szl-holdings/.github/cosign.pub:
import base64, json, urllib.request
from cryptography.hazmat.primitives import hashes, serialization
from cryptography.hazmat.primitives.asymmetric import ec
# 1. take any receipt line from the dataset
line = open("receipts/2026-06-12.ndjson").readline() # pick any shard
env = json.loads(line)["payload"]["envelope"]
# 2. fetch the published public key (or paste the PEM below)
pub_pem = urllib.request.urlopen(
"https://raw.githubusercontent.com/szl-holdings/.github/main/cosign.pub").read()
pub = serialization.load_pem_public_key(pub_pem)
# 3. reconstruct the DSSE PAE
pt = env["payloadType"].encode()
body = base64.b64decode(env["payload"])
pae = b"DSSEv1 " + str(len(pt)).encode() + b" " + pt + b" " + str(len(body)).encode() + b" " + body
# 4. verify every signature (raises cryptography.exceptions.InvalidSignature on tamper)
for s in env["signatures"]:
pub.verify(base64.b64decode(s["sig"]), pae, ec.ECDSA(hashes.SHA256()))
print("OK", s.get("keyid")) # -> OK szlholdings-cosign
The same public key, for convenience (verify it matches the URL above):
-----BEGIN PUBLIC KEY-----
MFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAE/Jlv9FnwJ13l4QIZpr4IbTBUtVZ2
i+O7Jai/s7xsdXvOjmZGYhd36VxNQQahTSjWoYpPrSNhXbt/n7lsgi61xA==
-----END PUBLIC KEY-----
A change to any byte of payload or payloadType changes the PAE and the
verification fails — that is the point.
Verify a sigstore-keyless-dsse receipt yourself
These envelopes are self-contained: envelope._sigstore.bundle carries the full
Sigstore bundle (Fulcio cert chain + Rekor inclusion proof). Verify with
cosign:
# extract the bundle and the DSSE statement, then:
cosign verify-blob-attestation --bundle bundle.json --new-bundle-format \
--certificate-identity-regexp 'github.com/szl-holdings/.*' \
--certificate-oidc-issuer https://token.actions.githubusercontent.com statement.json
You can also look the entry up directly in the public Rekor transparency log.
2 · Theorems (theorems/)
payload.asset == "theorem". The kernel-verified theorem list, embedded
verbatim from lutar-lean
VERIFIED_THEOREMS.md:
payload.markdown— the file, byte-for-byte.payload.content_sha256— sha256 of the fetched bytes (cross-check against the source).payload.summary— counts and the honesty markers the source itself asserts (no re-derivation).payload.source_url— where it came from.
That file is auto-generated from a real lake build: every entry is a Lean
theorem/lemma the kernel checks with zero sorry, with an axiom
footprint inside {propext, Classical.choice, Quot.sound} plus the declared,
cited repo axioms. To verify, clone lutar-lean and run the build yourself — or
just confirm the embedded sha256 matches the live source.
3 · Formulas (formulas/)
payload.asset == "formula", one record per formula in a11oy's canonical
registry (szl_formulas.py):
payload.name/payload.callable— the formula and its runtime function.payload.proof_status— copied verbatim from the registry'sPROOF_STATUS.
proof_status reflects the Lean kernel + Doctrine v11 honesty surface
(PROVEN, AXIOM-gated, SORRY, REAL, CONJECTURE), not a marketing
claim. Cross-check any PROVEN claim against the theorem list above and the
lutar-lean source.
Honesty & scope
This corpus is governed by the same honesty doctrine (v11) as a11oy:
- Theorem U is REAL but CONDITIONAL (proven under its stated identifiability / factor assumptions) — not unconditionally proven.
- Conjecture 1 (unconditional Λ-uniqueness,
∀ Φ, LutarAxioms Φ → Φ = Λ k) is OPEN and machine-checked FALSE under A1–A5 (maxAgg_ne_Lambdais an explicit counterexample). It can never appear as a proven theorem. - The locked-proven ladder is not collapsed to "all proven": only what the
kernel actually proves is labelled proven; everything else keeps its honest
EXPERIMENTAL/AXIOM-gated /CONJECTUREstatus.
What is intentionally not here: demo-grade HMAC receipts and any hash-chain artifact that is not cryptographically signed are excluded — this dataset only carries material you can actually verify against a published key or a public transparency log.
Provenance
- Producer:
szl-holdings/a11oy·szl_corpus_publish.py(real-time hook on the receipt signing path + a full-sync for formulas/theorems). - Theorem source:
szl-holdings/lutar-lean. - Public key:
szl-holdings/.github/cosign.pub. - License: Apache-2.0.
Read it live — the round trip
This corpus is not write-only — the live a11oy console reads it back, proving Hugging Face is the real backing store, not a one-way mirror.
- Browse: https://huggingface.co/datasets/SZLHOLDINGS/a11oy-verifiable-corpus
- Canonical trust center: https://a-11-oy.com — the a11oy console, receipt verifier & formula surfaces that read this corpus back (REPORTED live surfaces; verify status yourself).
- Console read-back: the a11oy demo and the
Space surface this dataset's
committed state — receipt count, chain head, and the kernel-verified theorem
count — via
GET /api/a11oy/v1/corpus, with honest live / cached / unreachable labels. No count is upgraded into a stronger claim: Theorem U stays CONDITIONAL and Conjecture 1 stays OPEN. - Re-verify offline: re-check any receipt in this corpus against the open governed-receipt-spec with the dependency-free governed-receipt-verifier — no trust in the console required. Governed model routing with honest per-response provenance: llm-router.
Citation
Cite this. Part of the SZL Holdings Ouroboros Thesis (Governed Post-Determinism).
Concept DOI (always-latest): 10.5281/zenodo.19944926.
Author: Stephen P. Lutar Jr. · ORCID 0009-0001-0110-4173 · License CC-BY-4.0.
Full DOI-pinned lineage (v1→v26) + the 8 papers: szl-papers PAPERS_INDEX.
No artifact-specific DOI is minted for this dataset; the concept DOI above covers the program.
Honesty (Doctrine v11): Λ unconditional uniqueness is Conjecture 1 (machine-checked FALSE as stated) — never a theorem; conditional uniqueness is Theorem U (axiom-free). Locked-proven formulas = exactly 8 {F1,F4,F7,F11,F12,F18,F19,F22}; ~185 experimental theorems are a separate CI-green tier; Khipu BFT safety = Conjecture 2. Trust never 100%.
@misc{lutar_szl_ouroboros,
author = {Lutar, Stephen P., Jr.},
title = {SZL Holdings --- The Ouroboros Thesis (Governed Post-Determinism)},
year = {2026},
publisher = {Zenodo},
doi = {10.5281/zenodo.19944926},
url = {https://doi.org/10.5281/zenodo.19944926},
note = {Concept DOI --- always resolves to the latest version. ORCID 0009-0001-0110-4173. CC-BY-4.0.}
}
Signed-off-by: Stephen Lutar stephenlutar2@gmail.com
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