Pith Number

pith:YTBSYTDT

pith:2025:YTBSYTDTMSU7CIS5TFP7JGS6H2

not attested not anchored not stored refs pending

Formation of clusters and coarsening in weakly interacting diffusions

Andr\'e Schlichting, Grigorios A. Pavliotis, Martin Hairer, Nicolai Gerber, Rishabh S. Gvalani

arxiv:2510.17629 v3 · 2025-10-20 · math.AP · math.PR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YTBSYTDTMSU7CIS5TFP7JGS6H2}

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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

5 papers in Pith

Multi-Headed Transformer Architectures as Time-dependent Wasserstein Gradient Flows

Data-driven Reduction of Transfer Operators for Particle Clustering Dynamics

Perceptrons and localization of attention's mean-field landscape

Clustering in co-evolving opinion dynamics: reduced SPDE models

Stochastic Scaling Limits and Synchronization by Noise in Deep Transformer Models

Receipt and verification

First computed	2026-06-19T16:11:14.214168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4c32c4c7364a9f1225d995ff49a5e3ea4f99ff7550251c1245448a8e7c971b9

Aliases

arxiv: 2510.17629 · arxiv_version: 2510.17629v3 · doi: 10.48550/arxiv.2510.17629 · pith_short_12: YTBSYTDTMSU7 · pith_short_16: YTBSYTDTMSU7CIS5 · pith_short_8: YTBSYTDT

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/YTBSYTDTMSU7CIS5TFP7JGS6H2 \
  | 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: c4c32c4c7364a9f1225d995ff49a5e3ea4f99ff7550251c1245448a8e7c971b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85d62fb1bad628318a8e42597bf3b3c7b7bccc9ea67e09a09682127cc43963ba",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-10-20T15:12:39Z",
    "title_canon_sha256": "6e17a9a818c57bde5d907e0341e341006794fecc9759bb2f7480ef9cc6ffe780"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.17629",
    "kind": "arxiv",
    "version": 3
  }
}