Pith Number

pith:Y56DULCG

pith:2011:Y56DULCGG2PK2MWXWLKYWZWE74

not attested not anchored not stored refs pending

Ologs: a categorical framework for knowledge representation

David I. Spivak, Robert E. Kent

arxiv:1102.1889 v2 · 2011-02-09 · cs.LO · cs.AI · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y56DULCGG2PK2MWXWLKYWZWE74}

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

Presheaves on lax double functors; or, Instances of models of double theories

Receipt and verification

First computed	2026-05-18T02:03:14.859690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c77c3a2c46369ead32d7b2d58b66c4ff296f78bd8e390205a867a9c8b0f874d5

Aliases

arxiv: 1102.1889 · arxiv_version: 1102.1889v2 · doi: 10.48550/arxiv.1102.1889 · pith_short_12: Y56DULCGG2PK · pith_short_16: Y56DULCGG2PK2MWX · pith_short_8: Y56DULCG

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/Y56DULCGG2PK2MWXWLKYWZWE74 \
  | 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: c77c3a2c46369ead32d7b2d58b66c4ff296f78bd8e390205a867a9c8b0f874d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "491e8bd55666b916a4d66d0ffd918bb2111bfc525e43915a395f66f002aa979a",
    "cross_cats_sorted": [
      "cs.AI",
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2011-02-09T15:49:49Z",
    "title_canon_sha256": "de5a042cc7cd01cc81829e429edd4eb078446ea9751a88c134934ad680c8d9c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1889",
    "kind": "arxiv",
    "version": 2
  }
}