Pith Number

pith:46UMSHIU

pith:2026:46UMSHIUDTLSQ4TGD3E7A4PV52

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Data-driven analysis of metastability in a stochastic bistable system

Ankan Banerjee, John Moroney, Manuel Santos Gutierrez, Valerio Lucarini

The subdominant Koopman mode extracted from trajectory data captures escape time statistics in a stochastic bistable system and matches large deviation theory predictions under both equilibrium and nonequilibrium conditions.

arxiv:2605.16574 v1 · 2026-05-15 · cond-mat.stat-mech · math.DS · physics.ao-ph · physics.data-an

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\pithnumber{46UMSHIUDTLSQ4TGD3E7A4PV52}

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Claims

C1strongest claim

We find agreement with the predictions - both the exponential and subexponential ones - of large deviation theory in the weak-noise limit for the statistics of escape time, both in equilibrium and nonequilibrium conditions.

C2weakest assumption

The subdominant Koopman mode extracted from finite noisy trajectory data accurately isolates the slow transition dynamics without contamination from faster intrawell modes or numerical approximation errors in the operator construction.

C3one line summary

Data-driven Koopman analysis of a bistable stochastic system recovers large deviation theory escape time statistics and basin structure via the subdominant mode.

References

128 extracted · 128 resolved · 3 Pith anchors

[1] Journal of Statistical Physics , year = · doi:10.1007/s10955-005-9003-9

[2] Nonlinearity , pages =

[3] Dellnitz, Michael and Froyland, Gary and Junge, Oliver , booktitle =

[4] A general framework for linking free and forced fluctuations via Koopmanism , journal = 2026 · doi:10.1016/j.chaos.2025.117540

[5] and Brunton, Bingni W · doi:10.1371/journal.pone.0150171

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:02:30.498987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7a8c91d141cd72872661ec9f071f5ee8b0a4d8c43d29bc957093f700c796c9e

Aliases

arxiv: 2605.16574 · arxiv_version: 2605.16574v1 · doi: 10.48550/arxiv.2605.16574 · pith_short_12: 46UMSHIUDTLS · pith_short_16: 46UMSHIUDTLSQ4TG · pith_short_8: 46UMSHIU

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/46UMSHIUDTLSQ4TGD3E7A4PV52 \
  | 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: e7a8c91d141cd72872661ec9f071f5ee8b0a4d8c43d29bc957093f700c796c9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36b2a11fc80df4b06ad536cb24feaf4aabb61115777a095733befa282fbdf9af",
    "cross_cats_sorted": [
      "math.DS",
      "physics.ao-ph",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-05-15T19:25:01Z",
    "title_canon_sha256": "808a5f50db814db409fe49ae9d2cac2c974707615badeea44c7e93587ab7a2d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16574",
    "kind": "arxiv",
    "version": 1
  }
}