Pith Number

pith:AXXO2T3M

pith:2012:AXXO2T3MUT6TAPVPLXZZWYF7S7

not attested not anchored not stored refs pending

Hypergeometric solution to a gambler's ruin problem with a nonzero halting probability

Ken Yamamoto

arxiv:1211.4314 v2 · 2012-11-19 · math-ph · math.MP · 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{AXXO2T3MUT6TAPVPLXZZWYF7S7}

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	2026-05-18T03:08:38.237033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05eeed4f6ca4fd303eaf5df39b60bf97cac0715eec3fb51fa95469646402aecc

Aliases

arxiv: 1211.4314 · arxiv_version: 1211.4314v2 · doi: 10.48550/arxiv.1211.4314 · pith_short_12: AXXO2T3MUT6T · pith_short_16: AXXO2T3MUT6TAPVP · pith_short_8: AXXO2T3M

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/AXXO2T3MUT6TAPVPLXZZWYF7S7 \
  | 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: 05eeed4f6ca4fd303eaf5df39b60bf97cac0715eec3fb51fa95469646402aecc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1e1296d24a2f0b175f88235a45d07515e544f77d0aefa33e9105b1ee8bcbc4b",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-19T07:02:57Z",
    "title_canon_sha256": "db7e481883407ddbfad78ba3d5fc759fbbffb9ec174b6699dfe51c1571bc5177"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4314",
    "kind": "arxiv",
    "version": 2
  }
}