Pith Number

pith:AYV3ZZVA

pith:2010:AYV3ZZVAI2YWSB4P6YMUG4XYV5

not attested not anchored not stored refs pending

The Mod-2 Cohomology Ring of the Third Conway Group is Cohen-Macaulay

David J. Green, Graham Ellis, Simon A. King

arxiv:1005.2472 v2 · 2010-05-14 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYV3ZZVAI2YWSB4P6YMUG4XYV5}

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	2026-05-18T02:41:50.880391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

062bbce6a046b169078ff6194372f8af5b9d1f2b99b66eb249311d9f0977ee23

Aliases

arxiv: 1005.2472 · arxiv_version: 1005.2472v2 · doi: 10.48550/arxiv.1005.2472 · pith_short_12: AYV3ZZVAI2YW · pith_short_16: AYV3ZZVAI2YWSB4P · pith_short_8: AYV3ZZVA

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/AYV3ZZVAI2YWSB4P6YMUG4XYV5 \
  | 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: 062bbce6a046b169078ff6194372f8af5b9d1f2b99b66eb249311d9f0977ee23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "439733b0a362516cac1d5b1953a2eb3cdc879d203f299a941b76c4371b46dfed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-05-14T08:20:03Z",
    "title_canon_sha256": "6dc49eaba06dd03f994808c1a5dae1cc09bf9357bd5ca9f313252b9f2ab2138b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2472",
    "kind": "arxiv",
    "version": 2
  }
}