Pith Number

pith:HZPFAHY4

pith:2016:HZPFAHY4H4ZJVYPYXJGD2QXDUR

not attested not anchored not stored refs pending

Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation

A Vasseur, Cl\'ement Mouhot, Cyril Imbert (DMA), F Golse (CMLS)

arxiv:1607.08068 v2 · 2016-07-27 · 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{HZPFAHY4H4ZJVYPYXJGD2QXDUR}

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	2026-05-18T00:51:34.024504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e5e501f1c3f329ae1f8ba4c3d42e3a44aa95ab31e7cca7812859949bcbe6757

Aliases

arxiv: 1607.08068 · arxiv_version: 1607.08068v2 · doi: 10.48550/arxiv.1607.08068 · pith_short_12: HZPFAHY4H4ZJ · pith_short_16: HZPFAHY4H4ZJVYPY · pith_short_8: HZPFAHY4

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/HZPFAHY4H4ZJVYPYXJGD2QXDUR \
  | 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: 3e5e501f1c3f329ae1f8ba4c3d42e3a44aa95ab31e7cca7812859949bcbe6757

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3a6b28736247c5115ad4d823a7fc8cb7e8fe98988c48d78f51bfe66fb5d20f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-27T12:58:19Z",
    "title_canon_sha256": "bb0dfe00228da175fe53fc980c36c653718d038ed060a727f0abe1b2f1a0f125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08068",
    "kind": "arxiv",
    "version": 2
  }
}