Pith Number

pith:OF5233YZ

pith:2010:OF5233YZ33RY7DSVJU5IAZYVPQ

not attested not anchored not stored refs pending

An informal introduction to topos theory

Tom Leinster

arxiv:1012.5647 v3 · 2010-12-27 · math.CT · math.AG · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OF5233YZ33RY7DSVJU5IAZYVPQ}

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	2026-05-18T04:19:13.238908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

717badef19dee38f8e554d3a8067157c169c1a12eea26e7a5e544542544df665

Aliases

arxiv: 1012.5647 · arxiv_version: 1012.5647v3 · doi: 10.48550/arxiv.1012.5647 · pith_short_12: OF5233YZ33RY · pith_short_16: OF5233YZ33RY7DSV · pith_short_8: OF5233YZ

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/OF5233YZ33RY7DSVJU5IAZYVPQ \
  | 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: 717badef19dee38f8e554d3a8067157c169c1a12eea26e7a5e544542544df665

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c10910bb4c1aba468043aa12b7e0baaa4fdfad03243d709e4aa253eb5d0f113",
    "cross_cats_sorted": [
      "math.AG",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2010-12-27T19:04:40Z",
    "title_canon_sha256": "016b9b4bf6bbbe0508152e83ad733a215a744925f64dc8d6fbe82f6d4292234e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5647",
    "kind": "arxiv",
    "version": 3
  }
}