Pith Number

pith:3WGQBKSN

pith:2012:3WGQBKSNXJLG2AXQ4M4O5ZADEA

not attested not anchored not stored refs pending

On the Bourbaki-Witt Principle in Toposes

Andrej Bauer, Peter LeFanu Lumsdaine

arxiv:1201.0340 v1 · 2012-01-01 · math.CT · 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{3WGQBKSNXJLG2AXQ4M4O5ZADEA}

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	2026-05-18T02:33:07.939272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd8d00aa4dba566d02f0e338eee4032004aabb8cf781667b3b6563ae4e1592fc

Aliases

arxiv: 1201.0340 · arxiv_version: 1201.0340v1 · doi: 10.48550/arxiv.1201.0340 · pith_short_12: 3WGQBKSNXJLG · pith_short_16: 3WGQBKSNXJLG2AXQ · pith_short_8: 3WGQBKSN

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/3WGQBKSNXJLG2AXQ4M4O5ZADEA \
  | 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: dd8d00aa4dba566d02f0e338eee4032004aabb8cf781667b3b6563ae4e1592fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9591927270b79f6de375f353313689a4f70fb6e4c00ca04351a9360dbcf647ef",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-01-01T08:56:37Z",
    "title_canon_sha256": "9a09cd397e3701904ad98dc2e0f3deacd2b09a61dab5f08e8145462b1dbc4bb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0340",
    "kind": "arxiv",
    "version": 1
  }
}