Pith Number

pith:D776B5LE

pith:2009:D776B5LES4WB46NDEOGF224U2U

not attested not anchored not stored refs pending

A finiteness property for braided fusion categories

Deepak Naidu, Eric C. Rowell

arxiv:0903.4157 v4 · 2009-03-24 · math.QA · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D776B5LES4WB46NDEOGF224U2U}

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	2026-05-18T04:13:47.284334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fffe0f564972c1e79a3238c5d6b94d50d54d4db4a4cf23bc323c807f91905cf

Aliases

arxiv: 0903.4157 · arxiv_version: 0903.4157v4 · doi: 10.48550/arxiv.0903.4157 · pith_short_12: D776B5LES4WB · pith_short_16: D776B5LES4WB46ND · pith_short_8: D776B5LE

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/D776B5LES4WB46NDEOGF224U2U \
  | 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: 1fffe0f564972c1e79a3238c5d6b94d50d54d4db4a4cf23bc323c807f91905cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e4da151777a333ee8c6958ca150e66b98afa7e6deccff3f7a31d9565bd9168f",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-03-24T18:47:49Z",
    "title_canon_sha256": "b23f6e109733a0505741798775ef029b192cc5f147bf690b080c9fc6c40f94c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4157",
    "kind": "arxiv",
    "version": 4
  }
}