Pith Number

pith:M2OCOQBT

pith:2008:M2OCOQBT5ZF457L54CFJACEW53

not attested not anchored not stored refs pending

Regularity of Ornstein-Uhlenbeck processes driven by a L{\'e}vy white noise

Jerzy Zabczyk, Zdzis{\l}aw Brze\'zniak

arxiv:0901.0028 v2 · 2008-12-30 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M2OCOQBT5ZF457L54CFJACEW53}

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	2026-05-18T01:29:32.364925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

669c274033ee4bcefd7de08a900896eec3137623e920901af75c3e9c4376f146

Aliases

arxiv: 0901.0028 · arxiv_version: 0901.0028v2 · doi: 10.48550/arxiv.0901.0028 · pith_short_12: M2OCOQBT5ZF4 · pith_short_16: M2OCOQBT5ZF457L5 · pith_short_8: M2OCOQBT

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/M2OCOQBT5ZF457L54CFJACEW53 \
  | 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: 669c274033ee4bcefd7de08a900896eec3137623e920901af75c3e9c4376f146

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4d693b29e81b3d62a8fd533e94ee12f9e567adeae8724d36ff22011828e895c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-12-30T23:55:26Z",
    "title_canon_sha256": "6d0a6b181d0e7be0da155ff9aa86afc68efaf2548d3e324e06aa8541ec1282c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0028",
    "kind": "arxiv",
    "version": 2
  }
}