Pith Number

pith:O5QGRPMB

pith:2004:O5QGRPMBVT7SHC7HK5HXGYP4J3

not attested not anchored not stored refs pending

Fractional Fokker--Planck Equation for Nonlinear Stochastic Differential Equations Driven by Non-Gaussian Levy Stable Noises

D. Schertzer, J. Duan, M. Larchev, S. Lovejoy, V.V. Yanovsky

arxiv:math/0409486 v1 · 2004-09-24 · math.AP · 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{O5QGRPMBVT7SHC7HK5HXGYP4J3}

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	2026-07-04T16:49:15.498359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

776068bd81acff238be7574f7361fc4ee70ffd319a0c3936726a9f3735aa10d8

Aliases

arxiv: math/0409486 · arxiv_version: math/0409486v1 · doi: 10.48550/arxiv.math/0409486 · pith_short_12: O5QGRPMBVT7S · pith_short_16: O5QGRPMBVT7SHC7H · pith_short_8: O5QGRPMB

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/O5QGRPMBVT7SHC7HK5HXGYP4J3 \
  | 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: 776068bd81acff238be7574f7361fc4ee70ffd319a0c3936726a9f3735aa10d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "892177e280d1f9542d294a7dd3cefe89ebe4ffee0f01831e3088baa46a214bc3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2004-09-24T20:42:24Z",
    "title_canon_sha256": "e9cff1dc5e4bd4a9426a230090fdcb2914086cdb4a4bca667c21827439e82c32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409486",
    "kind": "arxiv",
    "version": 1
  }
}