Pith Number

pith:W4YJRDEH

pith:2013:W4YJRDEHIPCNAPRWNKLVGK6H2O

not attested not anchored not stored refs pending

2-blocks with abelian defect groups

Benjamin Sambale, Burkhard K\"ulshammer, Charles W. Eaton, Radha Kessar

arxiv:1305.5778 v1 · 2013-05-24 · math.GR · 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{W4YJRDEHIPCNAPRWNKLVGK6H2O}

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	2026-05-18T03:25:03.200753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b730988c8743c4d03e366a97532bc7d39612e8d0c1e0b70b83e95db22a7f2d1a

Aliases

arxiv: 1305.5778 · arxiv_version: 1305.5778v1 · doi: 10.48550/arxiv.1305.5778 · pith_short_12: W4YJRDEHIPCN · pith_short_16: W4YJRDEHIPCNAPRW · pith_short_8: W4YJRDEH

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/W4YJRDEHIPCNAPRWNKLVGK6H2O \
  | 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: b730988c8743c4d03e366a97532bc7d39612e8d0c1e0b70b83e95db22a7f2d1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fbcf34b2d6ae93f6e63033ce46705b964059d03f829be7c9dbcf7a6a4d0c80c",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-05-24T16:04:02Z",
    "title_canon_sha256": "7a089668fb8d214603792fb5c7848969b1ed2210c91897dbb0799692524f9a1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5778",
    "kind": "arxiv",
    "version": 1
  }
}