Pith Number

pith:CUYTJOJW

pith:2010:CUYTJOJWSGGN5NZTM3D5TMTO44

not attested not anchored not stored refs pending

The logbook of Pointed Hopf algebras over the sporadic groups

F. Fantino, L. Vendramin, M. Gra\~na, N. Andruskiewitsch

arxiv:1001.1113 v2 · 2010-01-07 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CUYTJOJWSGGN5NZTM3D5TMTO44}

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	2026-05-18T04:35:06.072468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

153134b936918cdeb73366c7d9b26ee703e07f3e295d30c9ae32264070ad0e40

Aliases

arxiv: 1001.1113 · arxiv_version: 1001.1113v2 · doi: 10.48550/arxiv.1001.1113 · pith_short_12: CUYTJOJWSGGN · pith_short_16: CUYTJOJWSGGN5NZT · pith_short_8: CUYTJOJW

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/CUYTJOJWSGGN5NZTM3D5TMTO44 \
  | 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: 153134b936918cdeb73366c7d9b26ee703e07f3e295d30c9ae32264070ad0e40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faa398c424685f80d81381a5bd15f2b49728d0c0dfa60212bfdfe4c2f107b594",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-01-07T17:04:17Z",
    "title_canon_sha256": "a2143fccaa36eb602e19abf0b8ec74f38884603d81227d6202fbba2775f8da67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1113",
    "kind": "arxiv",
    "version": 2
  }
}