Pith Number

pith:WWL5JPWB

pith:2010:WWL5JPWB2V6SPY64NQLIOMYOY5

not attested not anchored not stored refs pending

Pointed Hopf algebras over the sporadic simple groups

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

arxiv:1001.1108 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{WWL5JPWB2V6SPY64NQLIOMYOY5}

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	2026-05-18T04:35:06.079517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b597d4bec1d57d27e3dc6c1687330ec757d71d8eb3788eb107008c8d90e976f6

Aliases

arxiv: 1001.1108 · arxiv_version: 1001.1108v2 · doi: 10.48550/arxiv.1001.1108 · pith_short_12: WWL5JPWB2V6S · pith_short_16: WWL5JPWB2V6SPY64 · pith_short_8: WWL5JPWB

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/WWL5JPWB2V6SPY64NQLIOMYOY5 \
  | 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: b597d4bec1d57d27e3dc6c1687330ec757d71d8eb3788eb107008c8d90e976f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46d20686c23d3c3d4266fe7d580079bcf9999665fe6a60cff9a3cb26f819a9f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-01-07T17:12:26Z",
    "title_canon_sha256": "80533eb5d1e1387c3a538a07bccd169feb3c59740102640929669cd8e02b8d96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1108",
    "kind": "arxiv",
    "version": 2
  }
}