Pith Number

pith:KQ6GSRHR

pith:1998:KQ6GSRHRHMSOXUEA66WQNL7JNM

not attested not anchored not stored refs pending

The Exact Solution of the Cauchy Problem for a generalized "linear" vectorial Fokker-Planck Equation - Algebraic Approach

A. A. Donkov, A. D. Donkov, E. I. Grancharova

arxiv:math-ph/9807009 v3 · 1998-07-10 · math-ph · cond-mat · math.AP · 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{KQ6GSRHRHMSOXUEA66WQNL7JNM}

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	2026-05-18T01:38:30.769471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

543c6944f13b24ebd080f7ad06afe96b1731b3b7f4592008d6bd34f0faf2f9c2

Aliases

arxiv: math-ph/9807009 · arxiv_version: math-ph/9807009v3 · doi: 10.48550/arxiv.math-ph/9807009 · pith_short_12: KQ6GSRHRHMSO · pith_short_16: KQ6GSRHRHMSOXUEA · pith_short_8: KQ6GSRHR

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/KQ6GSRHRHMSOXUEA66WQNL7JNM \
  | 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: 543c6944f13b24ebd080f7ad06afe96b1731b3b7f4592008d6bd34f0faf2f9c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c036a8d9651ed0bfb4faf024745ecb26cf5c577157fb42f351ca41d66ceb8c3",
    "cross_cats_sorted": [
      "cond-mat",
      "math.AP",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1998-07-10T12:58:53Z",
    "title_canon_sha256": "457ecbc99a2b518bfed39dfb690819307dd6df4c9c6b591b75cded69a4b52562"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9807009",
    "kind": "arxiv",
    "version": 3
  }
}