Pith Number

pith:KO2UWED3

pith:2001:KO2UWED37NYORXMBCKO7XJLCLZ

not attested not anchored not stored refs pending

A Survey of Definitions of n-Category

Tom Leinster

arxiv:math/0107188 v1 · 2001-07-25 · 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{KO2UWED37NYORXMBCKO7XJLCLZ}

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	2026-07-04T17:21:16.823275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53b54b107bfb70e8dd81129dfba5625e6cd817d57cc66120e2cea33c81801580

Aliases

arxiv: math/0107188 · arxiv_version: math/0107188v1 · doi: 10.48550/arxiv.math/0107188 · pith_short_12: KO2UWED37NYO · pith_short_16: KO2UWED37NYORXMB · pith_short_8: KO2UWED3

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/KO2UWED37NYORXMBCKO7XJLCLZ \
  | 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: 53b54b107bfb70e8dd81129dfba5625e6cd817d57cc66120e2cea33c81801580

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94d5481d7b99c337aaf70c54290d15bb70482ee49e7adbeedc387ddb4a709f12",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.CT",
    "submitted_at": "2001-07-25T23:05:53Z",
    "title_canon_sha256": "a313846192c855c3c4f4415e0dbf14d331a296847207863ecca95f0f358dc7df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0107188",
    "kind": "arxiv",
    "version": 1
  }
}