Pith Number

pith:2T7PWY4J

pith:2025:2T7PWY4J6YE3SX24WSXLU2HZVB

not attested not anchored not stored refs pending

Consistent Projection of Langevin Dynamics: Preserving Thermodynamics and Kinetics in Coarse-Grained Models

Carsten Hartmann, Feliks N\"uske, Lara Neureither, Selma Moqvist, Simon Olsson, Vahid Nateghi

Projection of underdamped Langevin dynamics produces closed coarse-grained equations that preserve both equilibrium distributions and transition rates.

arxiv:2512.03706 v3 · 2025-12-03 · physics.comp-ph · cs.LG · math.DS

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\pithnumber{2T7PWY4J6YE3SX24WSXLU2HZVB}

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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

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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.

Claims

C1strongest claim

Following the Zwanzig projection approach, we derive a closed-form expression for the coarse grained dynamics... we demonstrate that the proposed method allows to accurately capture the thermodynamic and kinetic properties of the full-space model.

C2weakest assumption

That the Zwanzig projection operator applied to underdamped Langevin dynamics produces a closed, Markovian coarse-grained process whose generator can be learned from finite data without significant memory effects or projection artifacts in the chosen 2D test system.

C3one line summary

Projection of underdamped Langevin dynamics yields closed-form coarse-grained equations whose thermodynamics and kinetics are preserved and can be learned via gEDMD plus thermodynamic interpolation.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-28T01:05:11.083762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4fefb6389f609b95f5cb4aeba68f9a86a7a323e1ef7a4ac08eb9d4651377cc4

Aliases

arxiv: 2512.03706 · arxiv_version: 2512.03706v3 · doi: 10.48550/arxiv.2512.03706 · pith_short_12: 2T7PWY4J6YE3 · pith_short_16: 2T7PWY4J6YE3SX24 · pith_short_8: 2T7PWY4J

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2T7PWY4J6YE3SX24WSXLU2HZVB \
  | 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: d4fefb6389f609b95f5cb4aeba68f9a86a7a323e1ef7a4ac08eb9d4651377cc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9fa35f6eec4735784196ab46ef18439ac5d585a13efca011f811c3632cf63c1",
    "cross_cats_sorted": [
      "cs.LG",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2025-12-03T11:57:29Z",
    "title_canon_sha256": "a77fa2006a178a5cd2716c1f18131007b79733c1b76ecef8b184faa9f79dec9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.03706",
    "kind": "arxiv",
    "version": 3
  }
}