Pith Number

pith:OBUU5COF

pith:2024:OBUU5COFJM6SFF5PZQ7Y5FRQ7A

not attested not anchored not stored refs pending

On the monotonicity of the Fisher information for the Boltzmann equation

C\'edric Villani, Cyril Imbert, Luis Silvestre

arxiv:2409.01183 v1 · 2024-09-02 · math.AP · math-ph · math.MP

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\usepackage{pith}
\pithnumber{OBUU5COFJM6SFF5PZQ7Y5FRQ7A}

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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.

Cited by

1 paper in Pith

On the monotonicity of the entropy production in the Landau-Maxwell equation

Receipt and verification

First computed	2026-07-05T09:02:00.352337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70694e89c54b3d2297afcc3f8e9630f829d7e1c87769d5df68cbf02b2f5d9e6c

Aliases

arxiv: 2409.01183 · arxiv_version: 2409.01183v1 · doi: 10.48550/arxiv.2409.01183 · pith_short_12: OBUU5COFJM6S · pith_short_16: OBUU5COFJM6SFF5P · pith_short_8: OBUU5COF

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/OBUU5COFJM6SFF5PZQ7Y5FRQ7A \
  | 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: 70694e89c54b3d2297afcc3f8e9630f829d7e1c87769d5df68cbf02b2f5d9e6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dce2d03863b1118008ed91bf6d5109eb5081f73a959a0db3c23b3e7d670579b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-09-02T11:33:40Z",
    "title_canon_sha256": "05ed775828f4e011a88b6f1be955e5002673d74ccff9561627350911937f21f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.01183",
    "kind": "arxiv",
    "version": 1
  }
}