Pith Number

pith:N5UGFVVQ

pith:2025:N5UGFVVQKOOMKC63WBCF6W3ECD

not attested not anchored not stored refs pending

From Fisher information decay for the Kac model to the Landau-Coulomb hierarchy

Jos\'e Antonio Carrillo, Shuchen Guo

arxiv:2502.18606 v1 · 2025-02-25 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N5UGFVVQKOOMKC63WBCF6W3ECD}

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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

3 papers in Pith

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

Quantitative propagation of chaos for particle systems with bounded kernels and multiplicative noise

Propagation of chaos for the Boltzmann equation with very soft potentials

Receipt and verification

First computed	2026-07-05T10:20:00.648375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f6862d6b0539cc50bdbb0445f5b6410ef2d26c8666e8550be3f79bd7b9acaa7

Aliases

arxiv: 2502.18606 · arxiv_version: 2502.18606v1 · doi: 10.48550/arxiv.2502.18606 · pith_short_12: N5UGFVVQKOOM · pith_short_16: N5UGFVVQKOOMKC63 · pith_short_8: N5UGFVVQ

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/N5UGFVVQKOOMKC63WBCF6W3ECD \
  | 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: 6f6862d6b0539cc50bdbb0445f5b6410ef2d26c8666e8550be3f79bd7b9acaa7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b543bc3ad02b58be027e4ac25d725734eaf347cbd3e5a9d3495a02052f1bd5ba",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-02-25T19:49:03Z",
    "title_canon_sha256": "dd8e59522ef03868c1683565f964fcb3c59e5c67c7f378ce7c2c265b0c01e030"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.18606",
    "kind": "arxiv",
    "version": 1
  }
}