Pith Number

pith:WDRSV7FZ

pith:2013:WDRSV7FZA4NHDTVRY6EKNPLV3B

not attested not anchored not stored refs pending

Lyapunov functionals for boundary-driven nonlinear drift-diffusions

C. Mouhot, C. Villani, J.L. Lebowitz, T. Bodineau

arxiv:1305.7405 v1 · 2013-05-31 · math.AP · math-ph · math.MP · 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{WDRSV7FZA4NHDTVRY6EKNPLV3B}

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	2026-05-18T01:49:39.162642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0e32afcb9071a71ceb1c788a6bd75d862516f4bcba0a565f93ab46ed59c0f44

Aliases

arxiv: 1305.7405 · arxiv_version: 1305.7405v1 · doi: 10.48550/arxiv.1305.7405 · pith_short_12: WDRSV7FZA4NH · pith_short_16: WDRSV7FZA4NHDTVR · pith_short_8: WDRSV7FZ

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/WDRSV7FZA4NHDTVRY6EKNPLV3B \
  | 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: b0e32afcb9071a71ceb1c788a6bd75d862516f4bcba0a565f93ab46ed59c0f44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08bb7d3758cd9a5701404ae07c27929385b635c257ba1a707837921ec44f3cd4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-31T14:17:37Z",
    "title_canon_sha256": "2f3c685af4d1e6e1a0150259bb6eb92040c272808a8d326c8291a103f0153e41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7405",
    "kind": "arxiv",
    "version": 1
  }
}