Pith Number

pith:V6BJGDE4

pith:2012:V6BJGDE4IH2KS4XVHBJ3NZR7J7

not attested not anchored not stored refs pending

On Ornstein-Uhlenbeck driven by Ornstein-Uhlenbeck processes

Bernard Bercu, Frederic Proia, Nicolas Savy

arxiv:1212.2800 v1 · 2012-12-12 · 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{V6BJGDE4IH2KS4XVHBJ3NZR7J7}

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	2026-05-18T03:38:35.338816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af82930c9c41f4a972f53853b6e63f4fd9ca657b3d6fab744fed29e541769866

Aliases

arxiv: 1212.2800 · arxiv_version: 1212.2800v1 · doi: 10.48550/arxiv.1212.2800 · pith_short_12: V6BJGDE4IH2K · pith_short_16: V6BJGDE4IH2KS4XV · pith_short_8: V6BJGDE4

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/V6BJGDE4IH2KS4XVHBJ3NZR7J7 \
  | 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: af82930c9c41f4a972f53853b6e63f4fd9ca657b3d6fab744fed29e541769866

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8ceefbe08b03a989936637ec403c9180c8119daecfb994d091f57db3d1fe52c",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-12T12:56:19Z",
    "title_canon_sha256": "519ef43850e925eb9fd7b34586d42b03ddafa4f4b5f75ae7881fc211763e0bfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2800",
    "kind": "arxiv",
    "version": 1
  }
}