Pith Number

pith:KJ2QQHJ5

pith:2011:KJ2QQHJ5LPL5AZQBA4SE6QWFGO

not attested not anchored not stored refs pending

About Fokker-Planck equation with measurable coefficients and applications to the fast diffusion equation

Francesco Russo (UMA, INRIA Rocquencourt), LAGA), Nadia Belaribi (UMA

arxiv:1111.6458 v2 · 2011-11-28 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJ2QQHJ5LPL5AZQBA4SE6QWFGO}

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	2026-05-18T03:45:23.147255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5275081d3d5bd7d0660107244f42c533b76a68fef2c495a5d5348a64cbf6f752

Aliases

arxiv: 1111.6458 · arxiv_version: 1111.6458v2 · doi: 10.48550/arxiv.1111.6458 · pith_short_12: KJ2QQHJ5LPL5 · pith_short_16: KJ2QQHJ5LPL5AZQB · pith_short_8: KJ2QQHJ5

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/KJ2QQHJ5LPL5AZQBA4SE6QWFGO \
  | 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: 5275081d3d5bd7d0660107244f42c533b76a68fef2c495a5d5348a64cbf6f752

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb73be2c96bac3dc961ae8c97bce613b165def706f78a630b50148556fdcebb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-28T14:52:23Z",
    "title_canon_sha256": "8cc4f585df0dc48523c622d9cb95d6123f6efdfbdf545f3e37ea77d34c5d5273"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6458",
    "kind": "arxiv",
    "version": 2
  }
}