Pith Number

pith:XTTEOUBF

pith:2009:XTTEOUBFO6Y3UBNHQNVFGUEF5M

not attested not anchored not stored refs pending

Spectral properties of the Cauchy process

Andrzej Stos, Jacek Ma{\l}ecki, Mateusz Kwa\'snicki, Tadeusz Kulczycki

arxiv:0906.3113 v2 · 2009-06-17 · math.SP · 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{XTTEOUBFO6Y3UBNHQNVFGUEF5M}

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	2026-05-18T04:41:16.412396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bce647502577b1ba05a7836a535085eb087530ce5c337a31c526e1d17a394bc2

Aliases

arxiv: 0906.3113 · arxiv_version: 0906.3113v2 · doi: 10.48550/arxiv.0906.3113 · pith_short_12: XTTEOUBFO6Y3 · pith_short_16: XTTEOUBFO6Y3UBNH · pith_short_8: XTTEOUBF

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/XTTEOUBFO6Y3UBNHQNVFGUEF5M \
  | 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: bce647502577b1ba05a7836a535085eb087530ce5c337a31c526e1d17a394bc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb0ff504378f5d03aa9401105e58b2aa5028dab89c5972e3ff58ebda44e0d2b1",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2009-06-17T13:11:51Z",
    "title_canon_sha256": "1f13b7b30ec72a3fd0d06c8fe32be61524e8b1d03a207f71e588e1eb0ac35f41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3113",
    "kind": "arxiv",
    "version": 2
  }
}