Pith Number

pith:ILO7GLQT

pith:2011:ILO7GLQTLCJ4VISLKDYNO6PTGT

not attested not anchored not stored refs pending

Operator solutions for fractional Fokker-Planck equations

D. Babusci, G. Dattoli, G. H. E. Duchamp, K. A. Penson, K. Gorska

arxiv:1109.0622 v2 · 2011-09-03 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ILO7GLQTLCJ4VISLKDYNO6PTGT}

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	2026-05-18T02:00:40.415699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42ddf32e135893caa24b50f0d779f334e473464b3442cd14dfe3482b50ade6d0

Aliases

arxiv: 1109.0622 · arxiv_version: 1109.0622v2 · doi: 10.48550/arxiv.1109.0622 · pith_short_12: ILO7GLQTLCJ4 · pith_short_16: ILO7GLQTLCJ4VISL · pith_short_8: ILO7GLQT

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/ILO7GLQTLCJ4VISLKDYNO6PTGT \
  | 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: 42ddf32e135893caa24b50f0d779f334e473464b3442cd14dfe3482b50ade6d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e816744bbae03cc2901bea9452d3cf1009b7a8590b841a16d5246f288b22fa6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-09-03T13:50:04Z",
    "title_canon_sha256": "ece273f5a9437ffab28888a94dd98ef1cc41c8bc76e213bc29e12b805fdbd7e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0622",
    "kind": "arxiv",
    "version": 2
  }
}