Pith Number

pith:WNDZK4OA

pith:2014:WNDZK4OAR7S5PMXKRGLNO4LAND

not attested not anchored not stored refs pending

A simple proof of the completeness of APAL

Hans van Ditmarsch, Philippe Balbiani

arxiv:1409.2612 v2 · 2014-09-09 · cs.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{WNDZK4OAR7S5PMXKRGLNO4LAND}

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	2026-05-18T00:24:32.130756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3479571c08fe5d7b2ea8996d7716068e691eec2f322aa9d98533dbfa22c3e51

Aliases

arxiv: 1409.2612 · arxiv_version: 1409.2612v2 · doi: 10.48550/arxiv.1409.2612 · pith_short_12: WNDZK4OAR7S5 · pith_short_16: WNDZK4OAR7S5PMXK · pith_short_8: WNDZK4OA

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/WNDZK4OAR7S5PMXKRGLNO4LAND \
  | 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: b3479571c08fe5d7b2ea8996d7716068e691eec2f322aa9d98533dbfa22c3e51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2f26adaa73e261295c9af6df9e20f17c72b199144e63cbc65f0b570f3892ef5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2014-09-09T06:30:19Z",
    "title_canon_sha256": "82a828e9f60c1e997af2b3daf44c749f660a934805a77787855e52d4409a174f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2612",
    "kind": "arxiv",
    "version": 2
  }
}