Pith Number

pith:YWX2DBFW

pith:2006:YWX2DBFWGLXDOE2NAZF4DMZJJK

not attested not anchored not stored refs pending

Two-player Knock 'em Down

David B. Wilson, James Allen Fill

arxiv:math/0612205 v2 · 2006-12-08 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YWX2DBFWGLXDOE2NAZF4DMZJJK}

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	2026-05-18T03:52:39.121190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5afa184b632ee37134d064bc1b3294a962c619ebc6935d4a05da3c0c3056465

Aliases

arxiv: math/0612205 · arxiv_version: math/0612205v2 · doi: 10.48550/arxiv.math/0612205 · pith_short_12: YWX2DBFWGLXD · pith_short_16: YWX2DBFWGLXDOE2N · pith_short_8: YWX2DBFW

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/YWX2DBFWGLXDOE2NAZF4DMZJJK \
  | 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: c5afa184b632ee37134d064bc1b3294a962c619ebc6935d4a05da3c0c3056465

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "001faffb0ae915bd2b2e793f3cc884a86a61293383e1b9539ce91420a5846e8d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-12-08T00:57:38Z",
    "title_canon_sha256": "371061c037f3dba95dcbd2bebcaf4d9653867d4aca3ad96f53f30fc624ae1408"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612205",
    "kind": "arxiv",
    "version": 2
  }
}