Pith Number

pith:AQHA4UYH

pith:2013:AQHA4UYH26CCXOBAH6TKC24N7Z

not attested not anchored not stored refs pending

Quotient stacks and equivariant \'etale cohomology algebras: Quillen's theory revisited

Luc Illusie, Weizhe Zheng

arxiv:1305.0365 v5 · 2013-05-02 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AQHA4UYH26CCXOBAH6TKC24N7Z}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:18:15.309761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

040e0e5307d7842bb8203fa6a16b8dfe6217f0f1b42bcc921c664512c5b79220

Aliases

arxiv: 1305.0365 · arxiv_version: 1305.0365v5 · doi: 10.48550/arxiv.1305.0365 · pith_short_12: AQHA4UYH26CC · pith_short_16: AQHA4UYH26CCXOBA · pith_short_8: AQHA4UYH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AQHA4UYH26CCXOBAH6TKC24N7Z \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 040e0e5307d7842bb8203fa6a16b8dfe6217f0f1b42bcc921c664512c5b79220

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "affcbc7c05b05ac9b7219ae283fcab57588ac2bb55edf589fe690734a0a41fa0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-02T08:16:38Z",
    "title_canon_sha256": "7c5389a97311aae7f7459228bfadb7505084e5bc846eac8032ab40b7c138d2b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0365",
    "kind": "arxiv",
    "version": 5
  }
}