Pith Number

pith:DGS6HT7J

pith:2011:DGS6HT7JSQRSP7ALKMAONLP2XJ

not attested not anchored not stored refs pending

The probability distributions of the first hitting times of Bessel processes

Hiroyuki Matsumoto, Yuji Hamana

arxiv:1106.6132 v3 · 2011-06-30 · 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{DGS6HT7JSQRSP7ALKMAONLP2XJ}

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	2026-05-18T03:17:36.070438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19a5e3cfe9942327fc0b5300e6adfaba76e2b4594bff99529aee72933f4b8829

Aliases

arxiv: 1106.6132 · arxiv_version: 1106.6132v3 · doi: 10.48550/arxiv.1106.6132 · pith_short_12: DGS6HT7JSQRS · pith_short_16: DGS6HT7JSQRSP7AL · pith_short_8: DGS6HT7J

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/DGS6HT7JSQRSP7ALKMAONLP2XJ \
  | 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: 19a5e3cfe9942327fc0b5300e6adfaba76e2b4594bff99529aee72933f4b8829

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6cc95de659fb727046d7e72973f3f01c43cd5804924c73c95c3935aaf7ec6b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-06-30T07:22:29Z",
    "title_canon_sha256": "0d63f2896a50952e72cd5e25e36599521da04afb52a0f61b161f77e5e90715d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.6132",
    "kind": "arxiv",
    "version": 3
  }
}