Pith Number

pith:KXQTV6YS

pith:2024:KXQTV6YSIXEPLKK5A3FNVZ2VFQ

not attested not anchored not stored refs pending

A duality method for mean-field limits with singular interactions

Didier Bresch, Mitia Duerinckx, Pierre-Emmanuel Jabin

arxiv:2402.04695 v2 · 2024-02-07 · 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{KXQTV6YSIXEPLKK5A3FNVZ2VFQ}

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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

4 papers in Pith

Singular mean-field limits for fluctuations around equilibrium

Kinetic theory for Transformers and the lost-in-the-middle phenomenon

Propagation of chaos for the Boltzmann equation with very soft potentials

Quantitative Estimates for Mean-Field Limits and Correlation Functions through a Duality Framework

Receipt and verification

First computed	2026-07-05T10:12:14.250727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55e13afb1245c8f5a95d06cadae7552c2c2ca86d50d350c84856586356ea3c37

Aliases

arxiv: 2402.04695 · arxiv_version: 2402.04695v2 · doi: 10.48550/arxiv.2402.04695 · pith_short_12: KXQTV6YSIXEP · pith_short_16: KXQTV6YSIXEPLKK5 · pith_short_8: KXQTV6YS

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/KXQTV6YSIXEPLKK5A3FNVZ2VFQ \
  | 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: 55e13afb1245c8f5a95d06cadae7552c2c2ca86d50d350c84856586356ea3c37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5871e5ed8ce3a626cf6a69e68153c26095d1dddcd602465c2abe497bfd17fce8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-02-07T09:34:39Z",
    "title_canon_sha256": "0078f83acc67a3f077c708d50caeb144ac5c5eab3241ef6fb3fbc688de7a231b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.04695",
    "kind": "arxiv",
    "version": 2
  }
}