Pith Number

pith:RKAFOI5M

pith:2003:RKAFOI5MV4D2Y527XBESO52TGV

not attested not anchored not stored refs pending

Higher Operads, Higher Categories

Tom Leinster

arxiv:math/0305049 v1 · 2003-05-02 · math.CT · math.AG · math.AT · 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{RKAFOI5MV4D2Y527XBESO52TGV}

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.

Cited by

1 paper in Pith

Towards a Comparative Framework for Compositional AI Models

Receipt and verification

First computed	2026-07-04T14:37:16.996990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a805723acaf07ac775fb8492777533559dbc8abc87fe767fdb48e44b212a923

Aliases

arxiv: math/0305049 · arxiv_version: math/0305049v1 · doi: 10.48550/arxiv.math/0305049 · pith_short_12: RKAFOI5MV4D2 · pith_short_16: RKAFOI5MV4D2Y527 · pith_short_8: RKAFOI5M

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/RKAFOI5MV4D2Y527XBESO52TGV \
  | 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: 8a805723acaf07ac775fb8492777533559dbc8abc87fe767fdb48e44b212a923

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "427aa264a94d6cdd0c8c35e78c13f546afecd231ca3551c376dbc7c8390c86d6",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.CT",
    "submitted_at": "2003-05-02T17:22:28Z",
    "title_canon_sha256": "6afc280a2946de6144fc71b2688d6b8208c44839ae6ce21fc9d15144a22a205e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0305049",
    "kind": "arxiv",
    "version": 1
  }
}