Pith Number

pith:ZZW4DZ56

pith:2015:ZZW4DZ56GAFPH2THNWKMUBGQH2

not attested not anchored not stored refs pending

Propagation of chaos for the Landau equation with moderately soft potentials

Maxime Hauray, Nicolas Fournier

arxiv:1501.01802 v1 · 2015-01-08 · 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{ZZW4DZ56GAFPH2THNWKMUBGQH2}

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	2026-05-18T02:29:46.353805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce6dc1e7be300af3ea676d94ca04d03e948c607886c305baf934f0f842c7283c

Aliases

arxiv: 1501.01802 · arxiv_version: 1501.01802v1 · doi: 10.48550/arxiv.1501.01802 · pith_short_12: ZZW4DZ56GAFP · pith_short_16: ZZW4DZ56GAFPH2TH · pith_short_8: ZZW4DZ56

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/ZZW4DZ56GAFPH2THNWKMUBGQH2 \
  | 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: ce6dc1e7be300af3ea676d94ca04d03e948c607886c305baf934f0f842c7283c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c06a5148fbbeea6c500eec3b28157bd70309cd767d56f256e0c89b6a3ed67d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-08T11:39:29Z",
    "title_canon_sha256": "98007c8df694596bcd6729294fb3650230d8740e05af56d6801da128cf91cbac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01802",
    "kind": "arxiv",
    "version": 1
  }
}