Pith Number

pith:2P7QWK5Z

pith:2024:2P7QWK5ZFK3ZWEDC3XX44ECORL

not attested not anchored not stored refs pending

Distribution-uniform strong laws of large numbers

Aaditya Ramdas, Ian Waudby-Smith, Martin Larsson

arxiv:2402.00713 v2 · 2024-02-01 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2P7QWK5ZFK3ZWEDC3XX44ECORL}

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.

Cited by

1 paper in Pith

Confidence Horizons

Receipt and verification

First computed	2026-07-05T09:23:46.792455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3ff0b2bb92ab79b1062ddefce104e8afbec35ff78a43a4160a7f6c906725645

Aliases

arxiv: 2402.00713 · arxiv_version: 2402.00713v2 · doi: 10.48550/arxiv.2402.00713 · pith_short_12: 2P7QWK5ZFK3Z · pith_short_16: 2P7QWK5ZFK3ZWEDC · pith_short_8: 2P7QWK5Z

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/2P7QWK5ZFK3ZWEDC3XX44ECORL \
  | 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: d3ff0b2bb92ab79b1062ddefce104e8afbec35ff78a43a4160a7f6c906725645

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c024425a68e578dfe105def349b041dc5b7d8c8364d322f9e961db9df9896734",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-02-01T16:07:27Z",
    "title_canon_sha256": "0ca4aebc92c03a8a87dfa883cadb9e0d475900c91cf27990225db9d6199883f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.00713",
    "kind": "arxiv",
    "version": 2
  }
}