Pith Number

pith:YCX23YXW

pith:2011:YCX23YXW36QE3UH2PYEMC4P75A

not attested not anchored not stored refs pending

Averaging along Uniform Random Integers

\'Elise Janvresse (LMRS), Thierry de la Rue (LMRS)

arxiv:1103.1719 v2 · 2011-03-09 · math.PR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YCX23YXW36QE3UH2PYEMC4P75A}

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	2026-05-18T03:40:36.850231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0afade2f6dfa04dd0fa7e08c171ffe8392987d1f63397979636850f5ee90a33

Aliases

arxiv: 1103.1719 · arxiv_version: 1103.1719v2 · doi: 10.48550/arxiv.1103.1719 · pith_short_12: YCX23YXW36QE · pith_short_16: YCX23YXW36QE3UH2 · pith_short_8: YCX23YXW

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/YCX23YXW36QE3UH2PYEMC4P75A \
  | 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: c0afade2f6dfa04dd0fa7e08c171ffe8392987d1f63397979636850f5ee90a33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a7d4f48b789a50141d6426f0a5ba779b85485b2ad3b6571bee1d0d92fb69d1d",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-09T07:29:25Z",
    "title_canon_sha256": "48a7f7d341bdd29b8872bc29ae6146a13df3708b71c4bae808a795b7d83759bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1719",
    "kind": "arxiv",
    "version": 2
  }
}