Pith Number

pith:TQIV5PUB

pith:2005:TQIV5PUBFWBLNVJMONORJN7ACX

not attested not anchored not stored refs pending

$q-$Wiener ($\alpha,q)-$ Ornstein-Uhlenbeck processes. A generalization of known processes

Pawe{\l} J. Szab{\l}owski

arxiv:math/0507303 v7 · 2005-07-14 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TQIV5PUBFWBLNVJMONORJN7ACX}

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	2026-05-18T03:20:45.861782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c115ebe812d82b6d52c735d14b7e015dff320c3decfeea50aefe90a796e6e5c

Aliases

arxiv: math/0507303 · arxiv_version: math/0507303v7 · doi: 10.48550/arxiv.math/0507303 · pith_short_12: TQIV5PUBFWBL · pith_short_16: TQIV5PUBFWBLNVJM · pith_short_8: TQIV5PUB

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/TQIV5PUBFWBLNVJMONORJN7ACX \
  | 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: 9c115ebe812d82b6d52c735d14b7e015dff320c3decfeea50aefe90a796e6e5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8754ef5c391ff1ee7920088ade2d48aeba3183b3daf9e46544c0b31e9bb46c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2005-07-14T21:25:41Z",
    "title_canon_sha256": "5a2b5e93ade5329f534fbf1a337ae10f3ff928c18f19e1d614d9f3a5b3241040"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507303",
    "kind": "arxiv",
    "version": 7
  }
}