Pith Number

pith:UPKLZQC3

pith:2019:UPKLZQC33ILNNN5X3GO6LA6KJP

not attested not anchored not stored refs pending

A new integral equation for the first passage time density of the Ornstein-Uhlenbeck process

Dirk Veestraeten

arxiv:1908.02071 v1 · 2019-08-06 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UPKLZQC33ILNNN5X3GO6LA6KJP}

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	2026-07-04T23:51:50.534032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3d4bcc05bda16d6b7b7d99de583ca4bf8d07f5a04d4ae42577714938d04f9fd

Aliases

arxiv: 1908.02071 · arxiv_version: 1908.02071v1 · doi: 10.48550/arxiv.1908.02071 · pith_short_12: UPKLZQC33ILN · pith_short_16: UPKLZQC33ILNNN5X · pith_short_8: UPKLZQC3

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/UPKLZQC33ILNNN5X3GO6LA6KJP \
  | 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: a3d4bcc05bda16d6b7b7d99de583ca4bf8d07f5a04d4ae42577714938d04f9fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17d9656446a6c42f13b353cb7fbbc790305a4b203ca755a98968316870f43a6b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-06T10:51:23Z",
    "title_canon_sha256": "7cf1ab205f4fd646c8a6cda69b58b01176391913873f43e742dd829b7b6e7f44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02071",
    "kind": "arxiv",
    "version": 1
  }
}