Pith Number

pith:CSRDHPRA

pith:2015:CSRDHPRAVFFTKZSYUY2HJ7HKG7

not attested not anchored not stored refs pending

Exit times densities of Bessel process

Grzegorz Serafin

arxiv:1505.07551 v1 · 2015-05-28 · 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{CSRDHPRAVFFTKZSYUY2HJ7HKG7}

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	2026-05-18T02:00:58.056072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14a233be20a94b356658a63474fcea37c4d35076e408a5a3232fb26616583501

Aliases

arxiv: 1505.07551 · arxiv_version: 1505.07551v1 · doi: 10.48550/arxiv.1505.07551 · pith_short_12: CSRDHPRAVFFT · pith_short_16: CSRDHPRAVFFTKZSY · pith_short_8: CSRDHPRA

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/CSRDHPRAVFFTKZSYUY2HJ7HKG7 \
  | 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: 14a233be20a94b356658a63474fcea37c4d35076e408a5a3232fb26616583501

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87623dad3ead72aca9bdbeb61e95a793a395b3932627371958890d97b1dce22d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-28T05:33:28Z",
    "title_canon_sha256": "2ffbdcb96d064ffc7e698f7fcdfb817cc448b15516ff279109f6a02933d7d778"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07551",
    "kind": "arxiv",
    "version": 1
  }
}