Pith Number

pith:6MV5ZZHK

pith:2009:6MV5ZZHK57U7KGMD47IKC55YRA

not attested not anchored not stored refs pending

Criteria for hitting probabilities with applications to systems of stochastic wave equations

Marta Sanz-Sol\'e, Robert C. Dalang

arxiv:0902.4583 v2 · 2009-02-26 · 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{6MV5ZZHK57U7KGMD47IKC55YRA}

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	2026-05-18T04:34:37.403822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f32bdce4eaefe9f51983e7d0a177b8883002b1c5dcb2fc6f1ff178ca673f4929

Aliases

arxiv: 0902.4583 · arxiv_version: 0902.4583v2 · doi: 10.48550/arxiv.0902.4583 · pith_short_12: 6MV5ZZHK57U7 · pith_short_16: 6MV5ZZHK57U7KGMD · pith_short_8: 6MV5ZZHK

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/6MV5ZZHK57U7KGMD47IKC55YRA \
  | 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: f32bdce4eaefe9f51983e7d0a177b8883002b1c5dcb2fc6f1ff178ca673f4929

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b045f81cbf34ce61d214cdc9ac9ed1e2607e6f56cf270e6f6691461ff5dca087",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-02-26T13:30:00Z",
    "title_canon_sha256": "5a3d31ec9d7d01592aa5af774274e07849e01e30bfa442cb203a60efb8061c88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.4583",
    "kind": "arxiv",
    "version": 2
  }
}