Pith Number

pith:VYJU5ICO

pith:2010:VYJU5ICOYEX5PVFVZZC4VOQG23

not attested not anchored not stored refs pending

Sample path deviations of the Wiener and the Ornstein-Uhlenbeck process from its bridges

Matyas Barczy, Peter Kern

arxiv:1011.0548 v3 · 2010-11-02 · 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{VYJU5ICOYEX5PVFVZZC4VOQG23}

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	2026-05-18T02:55:50.156761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae134ea04ec12fd7d4b5ce45caba06d6fe315961307803ff00f2239609d18a13

Aliases

arxiv: 1011.0548 · arxiv_version: 1011.0548v3 · doi: 10.48550/arxiv.1011.0548 · pith_short_12: VYJU5ICOYEX5 · pith_short_16: VYJU5ICOYEX5PVFV · pith_short_8: VYJU5ICO

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/VYJU5ICOYEX5PVFVZZC4VOQG23 \
  | 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: ae134ea04ec12fd7d4b5ce45caba06d6fe315961307803ff00f2239609d18a13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbf3c6cd6893ba2e8dd684345fdfb5faf55b39ac501b0ee8c82e47d96331dc0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-02T09:29:37Z",
    "title_canon_sha256": "1379edc9ea363c78a38aae860eed4b729b1b4d06075f8d7d460588c7b7e67222"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0548",
    "kind": "arxiv",
    "version": 3
  }
}