Pith Number

pith:KVF7HVKS

pith:2012:KVF7HVKSOP5SZ4LYMC2J6AVVQO

not attested not anchored not stored refs pending

Lagrangian and Hamiltonian Feynman formulae for some Feller semigroups and their perturbations

Oleg G. Smolyanov, Ren\'e L. Schilling, Yana A. Butko

arxiv:1203.1199 v1 · 2012-03-06 · math.PR · math-ph · math.AP · math.FA · 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{KVF7HVKSOP5SZ4LYMC2J6AVVQO}

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	2026-05-18T00:38:31.694062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

554bf3d55273fb2cf17860b49f02b5839b9fc69ca3d01815091a112d7d893523

Aliases

arxiv: 1203.1199 · arxiv_version: 1203.1199v1 · doi: 10.48550/arxiv.1203.1199 · pith_short_12: KVF7HVKSOP5S · pith_short_16: KVF7HVKSOP5SZ4LY · pith_short_8: KVF7HVKS

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/KVF7HVKSOP5SZ4LYMC2J6AVVQO \
  | 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: 554bf3d55273fb2cf17860b49f02b5839b9fc69ca3d01815091a112d7d893523

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c856b2eb31058aa5d9fa34b9554d648e17e52a0658bd02e918a108c259164263",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-06T13:46:59Z",
    "title_canon_sha256": "12f188a3b5eedda84138fcd655d86b3aa3f459b8969d12d2904ed53f42c57d05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1199",
    "kind": "arxiv",
    "version": 1
  }
}