Pith Number

pith:SG222WUM

pith:2013:SG222WUMZ5VPTLT5J4PFLWIV4L

not attested not anchored not stored refs pending

Projective cell modules of Frobenius cellular algebras

Deke Zhao, Yanbo Li

arxiv:1304.3966 v1 · 2013-04-15 · 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{SG222WUMZ5VPTLT5J4PFLWIV4L}

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	2026-05-18T03:28:03.666268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91b5ad5a8ccf6af9ae7d4f1e55d915e2d8ca126ce96de0b170a7ed1b9f8268e7

Aliases

arxiv: 1304.3966 · arxiv_version: 1304.3966v1 · doi: 10.48550/arxiv.1304.3966 · pith_short_12: SG222WUMZ5VP · pith_short_16: SG222WUMZ5VPTLT5 · pith_short_8: SG222WUM

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/SG222WUMZ5VPTLT5J4PFLWIV4L \
  | 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: 91b5ad5a8ccf6af9ae7d4f1e55d915e2d8ca126ce96de0b170a7ed1b9f8268e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11251646154959e5818c252a57064e84284714aacc41c5c7a40385bbb4d3dbe7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-04-15T01:31:39Z",
    "title_canon_sha256": "18456335713aa15db49f6e999ae126f35331d5247700be03c613db098907412f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3966",
    "kind": "arxiv",
    "version": 1
  }
}