Pith Number

pith:OQ5YS2KO

pith:2013:OQ5YS2KOWMSLFG25E5OQE2FESF

not attested not anchored not stored refs pending

Hitting times of Bessel processes, volume of Wiener sausages and zeros of Macdonald functions

Hiroyuki Matsumoto, Yuji Hamana

arxiv:1302.4526 v1 · 2013-02-19 · 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{OQ5YS2KOWMSLFG25E5OQE2FESF}

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	2026-05-18T03:33:13.036973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

743b89694eb324b29b5d275d0268a49169975a021df62e2e9c9d7f35d78d8753

Aliases

arxiv: 1302.4526 · arxiv_version: 1302.4526v1 · doi: 10.48550/arxiv.1302.4526 · pith_short_12: OQ5YS2KOWMSL · pith_short_16: OQ5YS2KOWMSLFG25 · pith_short_8: OQ5YS2KO

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/OQ5YS2KOWMSLFG25E5OQE2FESF \
  | 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: 743b89694eb324b29b5d275d0268a49169975a021df62e2e9c9d7f35d78d8753

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "badb980008c73cbbaec439bb76fd1b9fb588765d974423ddc54395d19b7ac43d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-19T06:40:38Z",
    "title_canon_sha256": "0adb8970ae0726bf5b173fae2990e3a916038f0afd51acb0658ef422184a3018"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4526",
    "kind": "arxiv",
    "version": 1
  }
}