Pith Number

pith:4RVWYBJE

pith:2012:4RVWYBJE73AVJXY2YQTXHVBDSB

not attested not anchored not stored refs pending

Frobenius property for fusion categories of small integral dimension

Jingcheng Dong, Leandro Vendramin, Sonia Natale

arxiv:1209.1726 v3 · 2012-09-08 · 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{4RVWYBJE73AVJXY2YQTXHVBDSB}

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	2026-05-18T01:11:27.721876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e46b6c0524fec154df1ac42773d423905b813ac419d5918bcb9ac947c4883717

Aliases

arxiv: 1209.1726 · arxiv_version: 1209.1726v3 · doi: 10.48550/arxiv.1209.1726 · pith_short_12: 4RVWYBJE73AV · pith_short_16: 4RVWYBJE73AVJXY2 · pith_short_8: 4RVWYBJE

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/4RVWYBJE73AVJXY2YQTXHVBDSB \
  | 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: e46b6c0524fec154df1ac42773d423905b813ac419d5918bcb9ac947c4883717

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7b0cba3552e18c825a2cf601541b91b4084dd56cc332cd3fde18d9aadf16265",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-09-08T15:17:55Z",
    "title_canon_sha256": "6a46c0163d4b00005812434653de0c9deb576f5cd0d37b3b7591734d0b9713e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1726",
    "kind": "arxiv",
    "version": 3
  }
}