Pith Number

pith:VDUHJTQ7

pith:2012:VDUHJTQ76QKRYHS7PFIOQ7BHGN

not attested not anchored not stored refs pending

Brou\'e's abelian defect group conjecture for the sporadic simple Janko group J_4 revisited

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

arxiv:1212.2775 v1 · 2012-12-12 · 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{VDUHJTQ76QKRYHS7PFIOQ7BHGN}

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	2026-05-18T03:38:35.390862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8e874ce1ff4151c1e5f7950e87c27335835f1bc46e232aec2b2ce0fc7549bfd

Aliases

arxiv: 1212.2775 · arxiv_version: 1212.2775v1 · doi: 10.48550/arxiv.1212.2775 · pith_short_12: VDUHJTQ76QKR · pith_short_16: VDUHJTQ76QKRYHS7 · pith_short_8: VDUHJTQ7

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/VDUHJTQ76QKRYHS7PFIOQ7BHGN \
  | 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: a8e874ce1ff4151c1e5f7950e87c27335835f1bc46e232aec2b2ce0fc7549bfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4efdef9f285b95fd33e3e8e980f4ce299b7dff6755508cfa819a7053e75a2c00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-12-12T11:36:04Z",
    "title_canon_sha256": "56439cb690089cb3b9e498b008cdf8fcc9a6c846778fc8d8d2a3de24e498b342"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2775",
    "kind": "arxiv",
    "version": 1
  }
}