Pith Number

pith:CEZK54WK

pith:2025:CEZK54WKZG4IDHYYVT5CBI6V4X

not attested not anchored not stored refs pending

Tied Pools and Drawn Games

Roderick Edwards

arxiv:2507.03894 v1 · 2025-07-05 · math.ST · stat.ME · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CEZK54WKZG4IDHYYVT5CBI6V4X}

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	2026-07-05T11:32:36.837687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1132aef2cac9b8819f18acfa20a3d5e5d5e8a629b053ff2f42404dcefd654c7f

Aliases

arxiv: 2507.03894 · arxiv_version: 2507.03894v1 · doi: 10.48550/arxiv.2507.03894 · pith_short_12: CEZK54WKZG4I · pith_short_16: CEZK54WKZG4IDHYY · pith_short_8: CEZK54WK

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/CEZK54WKZG4IDHYYVT5CBI6V4X \
  | 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: 1132aef2cac9b8819f18acfa20a3d5e5d5e8a629b053ff2f42404dcefd654c7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a28366ff4d2b708849efe817bd0f84bd1cb69470bdf17d84df3540bd98718295",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-07-05T04:21:11Z",
    "title_canon_sha256": "dce64d0c8b6661719fb32b272a9e1e0aabba882714e238fc92703ddd8de9d44b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.03894",
    "kind": "arxiv",
    "version": 1
  }
}