Pith Number

pith:25GCO7KW

pith:2014:25GCO7KWITVC2ZW55FDCNQ4UBD

not attested not anchored not stored refs pending

A game-theoretic proof of Erdos-Feller-Kolmogorov-Petrowsky law of the iterated logarithm for fair-coin tossing

Akimichi Takemura, Kenshi Miyabe, Takeyuki Sasai

arxiv:1408.1790 v2 · 2014-08-08 · 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{25GCO7KWITVC2ZW55FDCNQ4UBD}

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	2026-05-18T02:17:51.974543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d74c277d5644ea2d66dde94626c39408cfa517ea18c770fd6a1d566cb470db24

Aliases

arxiv: 1408.1790 · arxiv_version: 1408.1790v2 · doi: 10.48550/arxiv.1408.1790 · pith_short_12: 25GCO7KWITVC · pith_short_16: 25GCO7KWITVC2ZW5 · pith_short_8: 25GCO7KW

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/25GCO7KWITVC2ZW55FDCNQ4UBD \
  | 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: d74c277d5644ea2d66dde94626c39408cfa517ea18c770fd6a1d566cb470db24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5e62cd6d5955822f1722800ee67f0f8a4c5d9d965615c019ea767d2b73516b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-08-08T09:10:55Z",
    "title_canon_sha256": "b754903763b731b43f0e7d151c4873a1c3ae96e3b5bd163e924e4b1a51c6c492"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1790",
    "kind": "arxiv",
    "version": 2
  }
}