Pith Number

pith:LBJXEI3P

pith:2021:LBJXEI3PJKWGL43E3NNKBZPRGY

not attested not anchored not stored refs pending

Convergence rates for the Vlasov-Fokker-Planck equation and uniform in time propagation of chaos in non convex cases

Arnaud Guillin, Pierre Le Bris, Pierre Monmarch\'e

arxiv:2105.09070 v2 · 2021-05-19 · 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{LBJXEI3PJKWGL43E3NNKBZPRGY}

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	2026-07-05T02:58:26.434876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

585372236f4aac65f364db5aa0e5f136066f912e84b1fd576f7071638f3f6c22

Aliases

arxiv: 2105.09070 · arxiv_version: 2105.09070v2 · doi: 10.48550/arxiv.2105.09070 · pith_short_12: LBJXEI3PJKWG · pith_short_16: LBJXEI3PJKWGL43E · pith_short_8: LBJXEI3P

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/LBJXEI3PJKWGL43E3NNKBZPRGY \
  | 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: 585372236f4aac65f364db5aa0e5f136066f912e84b1fd576f7071638f3f6c22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a3e988b2f0d97f8c5197995ebce7a1ff07232b2915f790a8c4e3f96c33e744b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-05-19T11:37:22Z",
    "title_canon_sha256": "22529da0614fc7276d602f4420d7ea9c533349968762e6c61cfcd3ecb3282754"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.09070",
    "kind": "arxiv",
    "version": 2
  }
}