Pith Number

pith:GUUL4XHB

pith:2012:GUUL4XHBC7NO2JTJKOTJA5RWU6

not attested not anchored not stored refs pending

Fokker-Planck equation with memory: the crossover from ballistic to diffusive processes in many-particle systems and incompressible media

Anatoly Zagorodny, Itamar Procaccia, Valery Ilyin

arxiv:1207.6190 v2 · 2012-07-26 · cond-mat.stat-mech · cond-mat.soft

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GUUL4XHBC7NO2JTJKOTJA5RWU6}

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	2026-05-18T03:30:02.676476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3528be5ce117daed266953a6907636a783696a6bc96af1069d4066bc39d501c1

Aliases

arxiv: 1207.6190 · arxiv_version: 1207.6190v2 · doi: 10.48550/arxiv.1207.6190 · pith_short_12: GUUL4XHBC7NO · pith_short_16: GUUL4XHBC7NO2JTJ · pith_short_8: GUUL4XHB

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/GUUL4XHBC7NO2JTJKOTJA5RWU6 \
  | 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: 3528be5ce117daed266953a6907636a783696a6bc96af1069d4066bc39d501c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f58b0ab95139b68f33b8ee9e0ff433620cb71c866dfa14165db604ae969a76cc",
    "cross_cats_sorted": [
      "cond-mat.soft"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-07-26T07:51:27Z",
    "title_canon_sha256": "ba4608c6911e89c4f4337283cf6ddfc4500805da46a936982760e7fa115d080b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6190",
    "kind": "arxiv",
    "version": 2
  }
}