Pith Number

pith:UWSXBGCJ

pith:2014:UWSXBGCJXIIWSXXJNWECAEACIQ

not attested not anchored not stored refs pending

A link between Bougerol's identity and a formula due to Donati-Martin, Matsumoto and Yor

Matyas Barczy, Peter Kern

arxiv:1403.5785 v1 · 2014-03-23 · 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{UWSXBGCJXIIWSXXJNWECAEACIQ}

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	2026-05-18T00:25:40.104766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5a5709849ba11695ee96d88201002443bdcfe581d41f441771e56aed29af6d4

Aliases

arxiv: 1403.5785 · arxiv_version: 1403.5785v1 · doi: 10.48550/arxiv.1403.5785 · pith_short_12: UWSXBGCJXIIW · pith_short_16: UWSXBGCJXIIWSXXJ · pith_short_8: UWSXBGCJ

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/UWSXBGCJXIIWSXXJNWECAEACIQ \
  | 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: a5a5709849ba11695ee96d88201002443bdcfe581d41f441771e56aed29af6d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcbc77c9b25794315819f4e2120f5de6191c0873030e3c60667fcd92d30f6131",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-03-23T18:35:45Z",
    "title_canon_sha256": "697191749ad0f15c0cfcf522e4638ca889230b6199b6e134c8fa3ab7c749ae4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5785",
    "kind": "arxiv",
    "version": 1
  }
}