Pith Number

pith:LUKEL7PI

pith:2013:LUKEL7PI4LFTVAN2MBBW7TEJHS

not attested not anchored not stored refs pending

Brou\'e's abelian defect group conjecture and 3-decomposition numbers of the sporadic simple Conway group Co_1

Felix Noeske, J\"urgen M\"uller, Shigeo Koshitani

arxiv:1309.7153 v1 · 2013-09-27 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LUKEL7PI4LFTVAN2MBBW7TEJHS}

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	2026-05-18T03:12:00.051033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d1445fde8e2cb3a81ba60436fcc893cb19c7ff9558ffe04b277e9e0d8bd1ff3

Aliases

arxiv: 1309.7153 · arxiv_version: 1309.7153v1 · doi: 10.48550/arxiv.1309.7153 · pith_short_12: LUKEL7PI4LFT · pith_short_16: LUKEL7PI4LFTVAN2 · pith_short_8: LUKEL7PI

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/LUKEL7PI4LFTVAN2MBBW7TEJHS \
  | 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: 5d1445fde8e2cb3a81ba60436fcc893cb19c7ff9558ffe04b277e9e0d8bd1ff3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "663a6307964a3d6c03047f380a8058ac3ba8843e239b75988de97afeba2b0f57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-09-27T08:42:09Z",
    "title_canon_sha256": "7badbfedc03870faed8350780219380624347b5d13db37975b5879769f7cbec9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7153",
    "kind": "arxiv",
    "version": 1
  }
}