Pith Number

pith:WE3VNBB7

pith:2026:WE3VNBB75NUWR4U5LQRMHB4CGW

not attested not anchored not stored refs pending

FES-FM: Free Energy Surface Sampling via Reduced Flow Matching

Tiejun Li, Zichen Liu

Training a flow matching model directly in collective variable space allows efficient sampling of free energy surfaces.

arxiv:2605.00337 v2 · 2026-05-01 · cs.LG

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\usepackage{pith}
\pithnumber{WE3VNBB75NUWR4U5LQRMHB4CGW}

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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.

Claims

C1strongest claim

Comparative experiments demonstrate that our approach drastically reduces computational costs while delivering superior accuracy per unit sampling time.

C2weakest assumption

That a dynamical transport map trained only in collective variable space, even with the Hessian prior, fully captures the free energy distribution without missing important high-dimensional correlations or rare events.

C3one line summary

FES-FM applies reduced flow matching with a Hessian-derived prior to directly sample free energy surfaces in collective variable space, claiming lower computational cost and higher accuracy per unit time than standard methods.

Receipt and verification

First computed	2026-07-23T00:23:40.456324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b13756843feb6968f29d5c22c3878235bbb26a9c00a0f20ed80ea46a7cdaf527

Aliases

arxiv: 2605.00337 · arxiv_version: 2605.00337v2 · doi: 10.48550/arxiv.2605.00337 · pith_short_12: WE3VNBB75NUW · pith_short_16: WE3VNBB75NUWR4U5 · pith_short_8: WE3VNBB7

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/WE3VNBB75NUWR4U5LQRMHB4CGW \
  | 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: b13756843feb6968f29d5c22c3878235bbb26a9c00a0f20ed80ea46a7cdaf527

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67bf4bfd37eb876dd28f9d9c332e7396a05a1c149f979115eaa439488c256d89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-01T01:35:48Z",
    "title_canon_sha256": "743f7715ce165a482183dac5dfe113915d102183130e9491ef923e615f79b21b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.00337",
    "kind": "arxiv",
    "version": 2
  }
}