Pith Number

pith:YGQ2HNTU

pith:2012:YGQ2HNTU3M54ZZRBCWY7B3IPOH

not attested not anchored not stored refs pending

On open-open games of uncountable length

Andrzej Kucharski

arxiv:1208.1182 v1 · 2012-08-06 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YGQ2HNTU3M54ZZRBCWY7B3IPOH}

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	2026-05-18T00:53:51.707939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1a1a3b674db3bcce62115b1f0ed0f71cf392d961db21cf0984d36a900791a10

Aliases

arxiv: 1208.1182 · arxiv_version: 1208.1182v1 · doi: 10.48550/arxiv.1208.1182 · pith_short_12: YGQ2HNTU3M54 · pith_short_16: YGQ2HNTU3M54ZZRB · pith_short_8: YGQ2HNTU

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/YGQ2HNTU3M54ZZRBCWY7B3IPOH \
  | 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: c1a1a3b674db3bcce62115b1f0ed0f71cf392d961db21cf0984d36a900791a10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d365a2acb94b09104aa064bc9294e956680e6d8e5b56d958e7a917468a28ea9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2012-08-06T15:03:28Z",
    "title_canon_sha256": "00bc60d8a13dd919ed26314c8e249eb02e195c3e6af1536c2a8c8c5b07e48b28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1182",
    "kind": "arxiv",
    "version": 1
  }
}