Pith Number

pith:U2DFN4UL

pith:2013:U2DFN4ULG44ULCGBX5PMK74VZO

not attested not anchored not stored refs pending

Feynman-Kac formula for Levy processes and semiclassical (Euclidean) momentum representation

Jean-Claude Zambrini, Nicolas Privault, Xiangfeng Yang

arxiv:1308.2363 v1 · 2013-08-11 · 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{U2DFN4ULG44ULCGBX5PMK74VZO}

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	2026-05-18T03:16:07.672851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a68656f28b37394588c1bf5ec57f95cbbbd05802866065861ec0fe06587cf0a0

Aliases

arxiv: 1308.2363 · arxiv_version: 1308.2363v1 · doi: 10.48550/arxiv.1308.2363 · pith_short_12: U2DFN4ULG44U · pith_short_16: U2DFN4ULG44ULCGB · pith_short_8: U2DFN4UL

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/U2DFN4ULG44ULCGBX5PMK74VZO \
  | 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: a68656f28b37394588c1bf5ec57f95cbbbd05802866065861ec0fe06587cf0a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b62b714661e90a8b5765ca87395ea91a850f1b396943694633bb9989c4d4b5b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-11T04:41:41Z",
    "title_canon_sha256": "4ca590fd88afbe57b7a6cd3b52df90533862dfea808c4a6561662bd0e3b2c538"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2363",
    "kind": "arxiv",
    "version": 1
  }
}