Pith Number

pith:WMMNMNOQ

pith:2008:WMMNMNOQKT4OX2P3RIGLZAR3GP

not attested not anchored not stored refs pending

Strong laws for balanced triangular urns

Amites Dasgupta, Arup Bose, Krishanu Maulik

arxiv:0808.0426 v1 · 2008-08-04 · 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{WMMNMNOQKT4OX2P3RIGLZAR3GP}

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	2026-05-18T04:40:21.801451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b318d635d054f8ebe9fb8a0cbc823b33c3d383dfda46ab17c29d17151e14152a

Aliases

arxiv: 0808.0426 · arxiv_version: 0808.0426v1 · doi: 10.48550/arxiv.0808.0426 · pith_short_12: WMMNMNOQKT4O · pith_short_16: WMMNMNOQKT4OX2P3 · pith_short_8: WMMNMNOQ

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/WMMNMNOQKT4OX2P3RIGLZAR3GP \
  | 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: b318d635d054f8ebe9fb8a0cbc823b33c3d383dfda46ab17c29d17151e14152a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b1e58590693c1b8d4a208e0caaf079e40c5556266ed26fcd050fdcd7234cc58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-08-04T11:53:55Z",
    "title_canon_sha256": "5739a317cd13335d4140b07386eccb5a3db8cd2f1018893308e38ba17417c99e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.0426",
    "kind": "arxiv",
    "version": 1
  }
}