pith. sign in
Pith Number

pith:XSWMVJHO

pith:2013:XSWMVJHO2NDF6TP6FDFYBDYW5V
not attested not anchored not stored refs pending

Rank-finiteness for modular categories

Eric C. Rowell, Paul Bruillard, Siu-Hung Ng, Zhenghan Wang

arxiv:1310.7050 v3 · 2013-10-25 · math.QA · math.CT · math.NT · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XSWMVJHO2NDF6TP6FDFYBDYW5V}

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 2026-05-18T01:27:08.316341Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bcaccaa4eed3465f4dfe28cb808f16ed656dfbbdba194a65d6e9be840f6688e8

Aliases

arxiv: 1310.7050 · arxiv_version: 1310.7050v3 · doi: 10.48550/arxiv.1310.7050 · pith_short_12: XSWMVJHO2NDF · pith_short_16: XSWMVJHO2NDF6TP6 · pith_short_8: XSWMVJHO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XSWMVJHO2NDF6TP6FDFYBDYW5V \
  | 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: bcaccaa4eed3465f4dfe28cb808f16ed656dfbbdba194a65d6e9be840f6688e8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ff5a885081a142384b65c193d5ae02165d81524ac9d8bdcc36137bbeb8f49505",
    "cross_cats_sorted": [
      "math.CT",
      "math.NT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-10-25T23:33:21Z",
    "title_canon_sha256": "5c2b5494aba9ad6d606416788d0569962e2724acc4a53c4108b1ad6488134c67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7050",
    "kind": "arxiv",
    "version": 3
  }
}