Pith Number

pith:FNXHS5CF

pith:2015:FNXHS5CFG2NU7ZVWUY6BYG4UA5

not attested not anchored not stored refs pending

Green function of the double fractional Fokker-Planck equation: Path integral and stochastic differential equations

H. Kleinert, V. Zatloukal

arxiv:1503.01667 v1 · 2015-03-05 · cond-mat.stat-mech · 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{FNXHS5CFG2NU7ZVWUY6BYG4UA5}

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	2026-05-18T02:25:33.160981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b6e797445369b4fe6b6a63c1c1b94076cddbb59b8dbbe7f234fe71e92b363f7

Aliases

arxiv: 1503.01667 · arxiv_version: 1503.01667v1 · doi: 10.48550/arxiv.1503.01667 · pith_short_12: FNXHS5CFG2NU · pith_short_16: FNXHS5CFG2NU7ZVW · pith_short_8: FNXHS5CF

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/FNXHS5CFG2NU7ZVWUY6BYG4UA5 \
  | 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: 2b6e797445369b4fe6b6a63c1c1b94076cddbb59b8dbbe7f234fe71e92b363f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5860323998341df8bfef62a1160082715c6dd9d0909fc6ee206f202650f74470",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-03-05T15:47:32Z",
    "title_canon_sha256": "f20f11c4100ee30c48e53706f1bb742de7f62815a86fa813ffa24cdc73d720e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01667",
    "kind": "arxiv",
    "version": 1
  }
}