Pith Number

pith:XXYSDKPN

pith:2016:XXYSDKPN5TROCUQHDLFDIVOTYN

not attested not anchored not stored refs pending

Fokker-Planck equations for Marcus stochastic differential equations driven by Levy processes

Xiaofan Li, Xu Sun, Yayun Zheng

arxiv:1605.06365 v1 · 2016-05-20 · math.DS · 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{XXYSDKPN5TROCUQHDLFDIVOTYN}

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	2026-05-18T01:14:19.099730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdf121a9edece2e152071aca3455d3c37c34bbb19c8af54e2118e6187ed8117b

Aliases

arxiv: 1605.06365 · arxiv_version: 1605.06365v1 · doi: 10.48550/arxiv.1605.06365 · pith_short_12: XXYSDKPN5TRO · pith_short_16: XXYSDKPN5TROCUQH · pith_short_8: XXYSDKPN

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/XXYSDKPN5TROCUQHDLFDIVOTYN \
  | 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: bdf121a9edece2e152071aca3455d3c37c34bbb19c8af54e2118e6187ed8117b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8b773921a4d963b8f3d49ee6f6c9dfe21332ef684fc32c4e073064c9024b3e3",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-05-20T14:10:36Z",
    "title_canon_sha256": "3cd75626c61d6646dad77c92a8c121fddd7978f37d1ff12a706627a149a51860"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06365",
    "kind": "arxiv",
    "version": 1
  }
}