Pith Number

pith:ZHR6LCTX

pith:2014:ZHR6LCTXQ3XBU4CKTMHMRQAN2X

not attested not anchored not stored refs pending

Entropy dissipation estimates for the Landau equation in the Coulomb case and applications

Laurent Desvillettes

arxiv:1408.6025 v2 · 2014-08-26 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHR6LCTXQ3XBU4CKTMHMRQAN2X}

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.

Cited by

1 paper in Pith

Propagation of chaos for the Boltzmann equation with very soft potentials

Receipt and verification

First computed	2026-05-18T02:39:08.520813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9e3e58a7786ee1a704a9b0ec8c00dd5ee4cd32d9416a09ac3a01a2f2b439bc5

Aliases

arxiv: 1408.6025 · arxiv_version: 1408.6025v2 · doi: 10.48550/arxiv.1408.6025 · pith_short_12: ZHR6LCTXQ3XB · pith_short_16: ZHR6LCTXQ3XBU4CK · pith_short_8: ZHR6LCTX

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/ZHR6LCTXQ3XBU4CKTMHMRQAN2X \
  | 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: c9e3e58a7786ee1a704a9b0ec8c00dd5ee4cd32d9416a09ac3a01a2f2b439bc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e12e35a2c47cb22c788b6147fc78bb283a02b1f8c2d8271f91ce04bd75411fd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-08-26T06:43:35Z",
    "title_canon_sha256": "c98b8a288e493a15f72645c45c8a96d7551000b7daee14ad5b2f12cdbe62a1bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6025",
    "kind": "arxiv",
    "version": 2
  }
}