Pith Number

pith:JMFEXNUH

pith:2015:JMFEXNUHQURCQK4C3JWQ3EZP53

not attested not anchored not stored refs pending

Kato classes for L\'evy processes

Karol Szczypkowski, Tomasz Grzywny

arxiv:1503.05747 v2 · 2015-03-19 · math.FA · math-ph · math.MP · 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{JMFEXNUHQURCQK4C3JWQ3EZP53}

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	2026-05-18T00:44:01.826179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b0a4bb6878522282b82da6d0d932feedf30ce0b378da4fa13d4a9674895bb06

Aliases

arxiv: 1503.05747 · arxiv_version: 1503.05747v2 · doi: 10.48550/arxiv.1503.05747 · pith_short_12: JMFEXNUHQURC · pith_short_16: JMFEXNUHQURCQK4C · pith_short_8: JMFEXNUH

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/JMFEXNUHQURCQK4C3JWQ3EZP53 \
  | 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: 4b0a4bb6878522282b82da6d0d932feedf30ce0b378da4fa13d4a9674895bb06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dad71007afbb816446681248a41098241d452bea0d7a0421f0ef2b598817fe42",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-03-19T12:47:52Z",
    "title_canon_sha256": "ce8d136966cb415a41da4353b46065743d5ce5665ff729ccc21aeb7ff7c8c064"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05747",
    "kind": "arxiv",
    "version": 2
  }
}