Pith Number

pith:NITR5ATA

pith:2010:NITR5ATAFHMX4SMLDC4IQY2JHL

not attested not anchored not stored refs pending

Bessel processes and hyperbolic Brownian motions stopped at different random times

Enzo Orsingher, Mirko D'Ovidio

arxiv:1003.6085 v1 · 2010-03-31 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NITR5ATAFHMX4SMLDC4IQY2JHL}

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	2026-05-18T03:53:43.916218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a271e826029d97e498b18b88863493ae822524800ca1d4f4e559642c8e44464

Aliases

arxiv: 1003.6085 · arxiv_version: 1003.6085v1 · doi: 10.48550/arxiv.1003.6085 · pith_short_12: NITR5ATAFHMX · pith_short_16: NITR5ATAFHMX4SML · pith_short_8: NITR5ATA

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/NITR5ATAFHMX4SMLDC4IQY2JHL \
  | 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: 6a271e826029d97e498b18b88863493ae822524800ca1d4f4e559642c8e44464

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de56bc12541058f7e3e18379b924c5528bd749d07343626575419f0f6757d7bc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-03-31T15:50:47Z",
    "title_canon_sha256": "73fd9da91ce5d96cdd01312b554ffaad61a40d13cd0eda9776010a1efba7df13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.6085",
    "kind": "arxiv",
    "version": 1
  }
}