Pith Number

pith:PYAH3LFW

pith:2012:PYAH3LFWG5L4ER3USAWVBE65CC

not attested not anchored not stored refs pending

A Pseudo-Differential Operator Construction of Markov Processes Using Feynman Path Integrals

Alexander Potrykus

arxiv:1204.5624 v1 · 2012-04-25 · 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{PYAH3LFWG5L4ER3USAWVBE65CC}

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	2026-05-18T03:57:01.853149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e007dacb63757c24774902d5093dd109752527c87676bdc5ce7d5d4ad85ec9b

Aliases

arxiv: 1204.5624 · arxiv_version: 1204.5624v1 · doi: 10.48550/arxiv.1204.5624 · pith_short_12: PYAH3LFWG5L4 · pith_short_16: PYAH3LFWG5L4ER3U · pith_short_8: PYAH3LFW

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/PYAH3LFWG5L4ER3USAWVBE65CC \
  | 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: 7e007dacb63757c24774902d5093dd109752527c87676bdc5ce7d5d4ad85ec9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f696501eccd448245a43d00b8bacc1ba4ac56e08e2916529966871d81eee6d26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-25T11:25:52Z",
    "title_canon_sha256": "309ab15e9d86ea514dbf9902e3860080d2cb105094e355ad68add88f4d2466e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5624",
    "kind": "arxiv",
    "version": 1
  }
}