Pith Number

pith:H623FLXT

pith:2017:H623FLXTHCC2CA63N55OCORO5O

not attested not anchored not stored refs pending

Phi-entropies for Fokker-Planck and kinetic Fokker-Planck equations

Jean Dolbeault (CEREMADE), Xingyu Li (CEREMADE)

arxiv:1712.09897 v2 · 2017-12-28 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H623FLXTHCC2CA63N55OCORO5O}

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	2026-05-18T00:09:09.679749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fb5b2aef33885a103db6f7ae13a2eeb94c90f0e38143610fbb6f85efb5c53c2

Aliases

arxiv: 1712.09897 · arxiv_version: 1712.09897v2 · doi: 10.48550/arxiv.1712.09897 · pith_short_12: H623FLXTHCC2 · pith_short_16: H623FLXTHCC2CA63 · pith_short_8: H623FLXT

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/H623FLXTHCC2CA63N55OCORO5O \
  | 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: 3fb5b2aef33885a103db6f7ae13a2eeb94c90f0e38143610fbb6f85efb5c53c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10d4b58875c4c538f0f5322590e2da9e1d6deb44c907a533d24c95c1870f3657",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-28T15:31:20Z",
    "title_canon_sha256": "cd2b83fdd3c9cb9392154f1bcd6f2cf42287ec03a70f149d70c5387fa5588680"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09897",
    "kind": "arxiv",
    "version": 2
  }
}