Pith Number

pith:H5JGQQZA

pith:2025:H5JGQQZAYZSZ7HDDJ4KSWU2APL

not attested not anchored not stored refs pending

Cluster formation for weakly interacting kinetic Langevin dynamics

Benedict Leimkuhler, Grigorios A. Pavliotis, Peter A. Whalley, Ren\'e Lohmann

arxiv:2510.25034 v2 · 2025-10-28 · math.NA · cs.NA · math-ph · math.AP · 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{H5JGQQZAYZSZ7HDDJ4KSWU2APL}

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

3 papers in Pith

Energetic characterisation of transient clustering dynamics in aggregation-diffusion systems

Data-driven Reduction of Transfer Operators for Particle Clustering Dynamics

Clustering in co-evolving opinion dynamics: reduced SPDE models

Receipt and verification

First computed	2026-06-29T01:15:03.431684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f52684320c6659f9c634f152b53407ac48f566521c40e490ada5e1893c9856d

Aliases

arxiv: 2510.25034 · arxiv_version: 2510.25034v2 · doi: 10.48550/arxiv.2510.25034 · pith_short_12: H5JGQQZAYZSZ · pith_short_16: H5JGQQZAYZSZ7HDD · pith_short_8: H5JGQQZA

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/H5JGQQZAYZSZ7HDDJ4KSWU2APL \
  | 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: 3f52684320c6659f9c634f152b53407ac48f566521c40e490ada5e1893c9856d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d684779a5b83f220158cf61b39867d2ba138d4d8d7615c6e829f4c8f83217db5",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.AP",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-10-28T23:28:15Z",
    "title_canon_sha256": "23f1dab985fe067aa5f3b17929936db1af753abd71c03bdbedadab0d2e9e3f3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.25034",
    "kind": "arxiv",
    "version": 2
  }
}