Pith Number

pith:WG56PMNN

pith:2012:WG56PMNNR4DBD3Y2EVVNHYILJ3

not attested not anchored not stored refs pending

An identification theorem for the sporadic simple groups F_2 and M(23)

Chris Parker, Gernot Stroth

arxiv:1201.3229 v1 · 2012-01-16 · 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{WG56PMNNR4DBD3Y2EVVNHYILJ3}

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	2026-05-18T04:04:31.836149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1bbe7b1ad8f0611ef1a256ad3e10b4ec3b9b9dccda4545c14f65e36e768e092

Aliases

arxiv: 1201.3229 · arxiv_version: 1201.3229v1 · doi: 10.48550/arxiv.1201.3229 · pith_short_12: WG56PMNNR4DB · pith_short_16: WG56PMNNR4DBD3Y2 · pith_short_8: WG56PMNN

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/WG56PMNNR4DBD3Y2EVVNHYILJ3 \
  | 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: b1bbe7b1ad8f0611ef1a256ad3e10b4ec3b9b9dccda4545c14f65e36e768e092

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "590e9b6f57f02fffb4f9eb6f6fe6d6c10f04fe06e8c047c18022bcabbfea688c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-01-16T12:05:32Z",
    "title_canon_sha256": "fcc449b65c8a19d1cf8999f952a909dc6bdaeaafed0411aee52d4e6228e30236"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3229",
    "kind": "arxiv",
    "version": 1
  }
}