Pith Number

pith:D2ACUH6S

pith:2009:D2ACUH6SKZWCCVIXHIPI4OSBCP

not attested not anchored not stored refs pending

Levy's zero-one law in game-theoretic probability

Akimichi Takemura, Glenn Shafer, Vladimir Vovk

arxiv:0905.0254 v3 · 2009-05-03 · 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{D2ACUH6SKZWCCVIXHIPI4OSBCP}

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	2026-05-18T04:20:38.899085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e802a1fd2566c2155173a1e8e3a4113d8df875445a16f7c1ecb67759c8496c3

Aliases

arxiv: 0905.0254 · arxiv_version: 0905.0254v3 · doi: 10.48550/arxiv.0905.0254 · pith_short_12: D2ACUH6SKZWC · pith_short_16: D2ACUH6SKZWCCVIX · pith_short_8: D2ACUH6S

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/D2ACUH6SKZWCCVIXHIPI4OSBCP \
  | 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: 1e802a1fd2566c2155173a1e8e3a4113d8df875445a16f7c1ecb67759c8496c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b50865e8ed0b75e9bbdbfdafd2bfd70faa55868293bdb4e21d96fb8921ff43a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-05-03T10:07:11Z",
    "title_canon_sha256": "8e27a585cf6d1c6b9f5cab497fd9f5605b729e490346cd7e5a46666384f1d076"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0254",
    "kind": "arxiv",
    "version": 3
  }
}