Pith Number

pith:NNBXIIPB

pith:2011:NNBXIIPBVVZ3Q2PJVYUWUNRBXU

not attested not anchored not stored refs pending

Convergence to equilibrium in Wasserstein distance for Fokker-Planck equations

Arnaud Guillin (IUF), Fran\c{c}ois Bolley (CEREMADE), Ivan Gentil (ICJ)

arxiv:1110.3606 v2 · 2011-10-17 · 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{NNBXIIPBVVZ3Q2PJVYUWUNRBXU}

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	2026-05-18T03:45:23.205567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b437421e1ad73b869e9ae296a3621bd046bace92544dd97f371f6a2db156223

Aliases

arxiv: 1110.3606 · arxiv_version: 1110.3606v2 · doi: 10.48550/arxiv.1110.3606 · pith_short_12: NNBXIIPBVVZ3 · pith_short_16: NNBXIIPBVVZ3Q2PJ · pith_short_8: NNBXIIPB

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/NNBXIIPBVVZ3Q2PJVYUWUNRBXU \
  | 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: 6b437421e1ad73b869e9ae296a3621bd046bace92544dd97f371f6a2db156223

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "130b1bf7ed1794e245a709099d9827e904932a39f62b50d026f095910de23b52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-17T08:38:48Z",
    "title_canon_sha256": "ef90393eaab39241b7fe253652dbe4a791725c29b08676279ef0fe15a1da8bb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3606",
    "kind": "arxiv",
    "version": 2
  }
}