Pith Number

pith:B4DZEJDF

pith:2007:B4DZEJDFV7WMR2TF44RVA5WUXM

not attested not anchored not stored refs pending

Densities for Ornstein-Uhlenbeck processes with jumps

Enrico Priola, Jerzy Zabczyk

arxiv:0708.1084 v2 · 2007-08-08 · 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{B4DZEJDFV7WMR2TF44RVA5WUXM}

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	2026-05-18T02:58:12.434588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f07922465afecc8ea65e7235076d4bb09638dec92345640a4573a30cc45957b

Aliases

arxiv: 0708.1084 · arxiv_version: 0708.1084v2 · doi: 10.48550/arxiv.0708.1084 · pith_short_12: B4DZEJDFV7WM · pith_short_16: B4DZEJDFV7WMR2TF · pith_short_8: B4DZEJDF

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/B4DZEJDFV7WMR2TF44RVA5WUXM \
  | 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: 0f07922465afecc8ea65e7235076d4bb09638dec92345640a4573a30cc45957b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "475039aa299e5b0ab65796e3c3181f06efec4ac7dcf92bf7924718283b3ada2f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-08-08T11:38:18Z",
    "title_canon_sha256": "70b532fe0edae8da498de5cdbe8472a5ccab0283acb74b2c0425a3c7fba55166"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.1084",
    "kind": "arxiv",
    "version": 2
  }
}