Pith Number

pith:2TLBKZ4C

pith:2003:2TLBKZ4C27IRG5XMOT7P4RQ7QI

not attested not anchored not stored refs pending

Classification of fusion categories of dimension pq

Pavel Etingof, Shlomo Gelaki, Viktor Ostrik

arxiv:math/0304194 v2 · 2003-04-15 · 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{2TLBKZ4C27IRG5XMOT7P4RQ7QI}

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.

Cited by

1 paper in Pith

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders

Receipt and verification

First computed	2026-07-04T14:37:13.144421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4d6156782d7d11376ec74fefe461f823c21aea0f5d9332384faff7600ab5175

Aliases

arxiv: math/0304194 · arxiv_version: math/0304194v2 · doi: 10.48550/arxiv.math/0304194 · pith_short_12: 2TLBKZ4C27IR · pith_short_16: 2TLBKZ4C27IRG5XM · pith_short_8: 2TLBKZ4C

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/2TLBKZ4C27IRG5XMOT7P4RQ7QI \
  | 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: d4d6156782d7d11376ec74fefe461f823c21aea0f5d9332384faff7600ab5175

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e3a7c038d3d64508f43029c8281702b1eeaa28c82f14b1200afed64d2be3c97",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2003-04-15T12:23:55Z",
    "title_canon_sha256": "1ca1672a9277b044df510e6f764cabae49d49ca751f183cbbf046f609cbbfec8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304194",
    "kind": "arxiv",
    "version": 2
  }
}