Pith Number

pith:AIS7KIBP

pith:2011:AIS7KIBPU7CHZRWBAQAZA6V7XI

not attested not anchored not stored refs pending

On hyperbolic Bessel processes and beyond

Jacek Jakubowski, Maciej Wi\'sniewolski

arxiv:1106.5485 v2 · 2011-06-27 · math.PR · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AIS7KIBPU7CHZRWBAQAZA6V7XI}

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	2026-05-18T03:04:14.129270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0225f5202fa7c47cc6c10401907abfba2deaf9c3c5c0b9c1637e754650572edc

Aliases

arxiv: 1106.5485 · arxiv_version: 1106.5485v2 · doi: 10.48550/arxiv.1106.5485 · pith_short_12: AIS7KIBPU7CH · pith_short_16: AIS7KIBPU7CHZRWB · pith_short_8: AIS7KIBP

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/AIS7KIBPU7CHZRWBAQAZA6V7XI \
  | 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: 0225f5202fa7c47cc6c10401907abfba2deaf9c3c5c0b9c1637e754650572edc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dd9787250c0a1b7098e0535bbbd649888977f65b9a73004985c4eaf49af5c3e",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-06-27T19:54:56Z",
    "title_canon_sha256": "f2c5d356fa56d2180e0f18dc7ade5279e93d2024932a323d0940662c283b535d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5485",
    "kind": "arxiv",
    "version": 2
  }
}