Pith Number

pith:3T2BSNIZ

pith:2012:3T2BSNIZNZ2BTAXMEDNHZ5SJC3

not attested not anchored not stored refs pending

Rank 4 Premodular Categories

Paul Bruillard

arxiv:1204.4836 v5 · 2012-04-21 · 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{3T2BSNIZNZ2BTAXMEDNHZ5SJC3}

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	2026-05-18T00:54:04.172358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcf41935196e741982ec20da7cf64916ed3dbfbec54db5b1b723df964c6cacd0

Aliases

arxiv: 1204.4836 · arxiv_version: 1204.4836v5 · doi: 10.48550/arxiv.1204.4836 · pith_short_12: 3T2BSNIZNZ2B · pith_short_16: 3T2BSNIZNZ2BTAXM · pith_short_8: 3T2BSNIZ

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/3T2BSNIZNZ2BTAXMEDNHZ5SJC3 \
  | 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: dcf41935196e741982ec20da7cf64916ed3dbfbec54db5b1b723df964c6cacd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c09e0ffe18d59d9283ebaf8076bc3a0fec1828b0db5bfda9f3002fea4163f622",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-04-21T19:37:49Z",
    "title_canon_sha256": "47056e95f268ec575f9d2d38fa25184b08cb746d8d2943054698860da272b90a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4836",
    "kind": "arxiv",
    "version": 5
  }
}