Pith Number

pith:7WAMXOOQ

pith:2026:7WAMXOOQXHHTU7PMOVQRO3WDMS

not attested not anchored not stored refs resolved

Identifying the nonlinear string dynamics with port-Hamiltonian neural networks

Guillaume Doras, Maximino Linares, Thomas H\'elie

Port-Hamiltonian neural networks recover the Hamiltonian and dissipation of nonlinear string vibrations from data.

arxiv:2605.12785 v1 · 2026-05-12 · cs.LG · cs.SY · eess.SY · math.DS

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\pithnumber{7WAMXOOQXHHTU7PMOVQRO3WDMS}

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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

By constructing structured neural network architectures based on PHS, we can recover both the Hamiltonian governing the string and the dissipation affecting it. This approach outperforms baseline, non-physics-informed methods in terms of both accuracy and interpretability.

C2weakest assumption

That the nonlinear string dynamics admit an exact port-Hamiltonian representation and that synthetic data generated under that assumption is sufficient to identify the true continuous PDE system.

C3one line summary

Port-Hamiltonian neural networks extended to PDEs recover the Hamiltonian and dissipation of nonlinear string dynamics from data and outperform non-physics-informed baselines.

References

96 extracted · 96 resolved · 2 Pith anchors

[1] Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering , author=. 2018 , publisher= 2018

[2] Port-Hamiltonian systems theory: An introductory overview , author=. Foundations and Trends. 2014 , publisher= 2014

[3] 1992 , issn = 1992 · doi:10.1016/s0016-0032(92)90049-m

[4] Taylor , title =

[5] CoRR , year =

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T03:09:13.046595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd80cbb9d0b9cf3a7dec7561176ec364b63a6c8b390f380cac6d4c0f3b958b5a

Aliases

arxiv: 2605.12785 · arxiv_version: 2605.12785v1 · doi: 10.48550/arxiv.2605.12785 · pith_short_12: 7WAMXOOQXHHT · pith_short_16: 7WAMXOOQXHHTU7PM · pith_short_8: 7WAMXOOQ

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7WAMXOOQXHHTU7PMOVQRO3WDMS \
  | 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: fd80cbb9d0b9cf3a7dec7561176ec364b63a6c8b390f380cac6d4c0f3b958b5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69724b754e09813485d338acd5689fb28637390975b40cd383e2b91bd16f74eb",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-12T22:01:16Z",
    "title_canon_sha256": "78b8c9cb7635cdce66e6be6ed0c3de3cbbe70a2e26de1270b3fe0770964b8154"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.12785",
    "kind": "arxiv",
    "version": 1
  }
}