Pith Number

pith:LY3AKIRX

pith:2011:LY3AKIRXVRSEMKMFXOSEMCFEAB

not attested not anchored not stored refs pending

On fusion categories with few irreducible degrees

Julia Yael Plavnik, Sonia Natale

arxiv:1103.2340 v3 · 2011-03-11 · 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{LY3AKIRXVRSEMKMFXOSEMCFEAB}

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	2026-05-18T04:09:36.363890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e36052237ac64462985bba44608a400533f4272350b234e64a2e89d46410860

Aliases

arxiv: 1103.2340 · arxiv_version: 1103.2340v3 · doi: 10.48550/arxiv.1103.2340 · pith_short_12: LY3AKIRXVRSE · pith_short_16: LY3AKIRXVRSEMKMF · pith_short_8: LY3AKIRX

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/LY3AKIRXVRSEMKMFXOSEMCFEAB \
  | 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: 5e36052237ac64462985bba44608a400533f4272350b234e64a2e89d46410860

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d693f5bd6b0ea2623551be82cfd603aeadb5d52b172283d860713baf7bb125ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-03-11T18:47:50Z",
    "title_canon_sha256": "060727d9ba8be47e05a4f03836443b26528c5135858b8fbe1880ea357a9ab0c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2340",
    "kind": "arxiv",
    "version": 3
  }
}