Paper Citation Record · LEDGER

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains

As of 13 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 1 inbound Pith citation observation for arXiv:2605.24651.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2605.24651 v2

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T13:18:49.247835Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T23:24:58.594046Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

34 of 34 outbound references displayed

verified exact0
verified fuzzy0
unresolved34
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malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9351c137-c915-4265-b943-4b5a3c2d0fd7 · outbound

This paper cites Nonlinear solid mechanics: a continuum approach for engineering science,.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Nonlinear solid mechanics: a continuum approach for engineering science,

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:45.011621Z

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Unavailable: canonical work link unavailable.

Observation 9b833cb3-a8f1-4f9b-83ed-9c91222afd19 · outbound

This paper cites Topics in finite elasticity: hyperelasticity of rubber, elastomers, and biological tissues— with examples,.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Topics in finite elasticity: hyperelasticity of rubber, elastomers, and biological tissues— with examples,

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:45.134427Z

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Observation c703f3ca-ed34-4acc-8a20-bc0e53e77dbc · outbound

This paper cites an unresolved cited work.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:45.266461Z

Source-reported events for the cited work

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Observation bb230800-4c69-47f0-8e45-24797688233b · outbound

This paper cites An introduction to the finite element method,.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains An introduction to the finite element method,

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:45.404759Z

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Observation f6998d4d-618c-4ebd-b84b-689096d62c06 · outbound

This paper cites Finite element implementation of incompressible, transversely isotropic hyperelasticity,.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Finite element implementation of incompressible, transversely isotropic hyperelasticity,

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:45.534843Z

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Observation e6e743d1-4984-4a44-ab17-e6259cc75303 · outbound

This paper cites an unresolved cited work.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:45.687355Z

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Observation 4f9baadb-c9b8-41c4-9c63-2844d190a87d · outbound

This paper cites DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:45.777414Z

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Unavailable: canonical work link unavailable.

Observation 5bcf264c-1f6f-4544-8bc2-c00b761b1940 · outbound

This paper cites Learning nonlinear operators via deeponet based on the universal approximation theorem of operators,.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Learning nonlinear operators via deeponet based on the universal approximation theorem of operators,

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:45.850747Z

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Observation 60b3c61c-4222-4d39-aff8-39334cbef90c · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Fourier Neural Operator for Parametric Partial Differential Equations

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:45.974081Z

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Observation 49e518ca-f11c-4196-9eaa-1e7436355242 · outbound

This paper cites Synergistic learning with multi-task deeponet for eﬀicient pde problem solving,.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Synergistic learning with multi-task deeponet for eﬀicient pde problem solving,

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:46.154851Z

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Unavailable: canonical work link unavailable.

Observation b6a89e32-769e-4b50-9173-044e5eb21d66 · outbound

This paper cites Physics-informed neural operator for learning partial differential equations,.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Physics-informed neural operator for learning partial differential equations,

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:46.254755Z

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Observation b1204a88-8212-49e8-994c-bb0cd89015cf · outbound

This paper cites Learning the solution operator of parametric partial dif- ferential equations with physics-informed deeponets,.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Learning the solution operator of parametric partial dif- ferential equations with physics-informed deeponets,

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:46.346158Z

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Observation 0bb7b2b8-3d45-496a-8d97-bc148d853a1d · outbound

This paper cites Physics-informed machine learning in biomedical science and engineering,.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Physics-informed machine learning in biomedical science and engineering,

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:46.484751Z

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Observation 59ac5a04-2b19-45ad-9966-98e3db98efd7 · outbound

This paper cites Variational physics-informed neural operator (vino) for solving partial differential equations,.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Variational physics-informed neural operator (vino) for solving partial differential equations,

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:46.654753Z

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Observation a3841fb6-cec8-462f-9a5e-5d40bb3228a6 · outbound

This paper cites Finite Element Operator Network for Solving Elliptic-type parametric PDEs.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Finite Element Operator Network for Solving Elliptic-type parametric PDEs

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:46.754753Z

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Observation 700be577-0341-4a69-8688-7458d9ae7123 · outbound

This paper cites NOWS: Neural Operator Warm Starts for Accelerating Iterative Solvers.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains NOWS: Neural Operator Warm Starts for Accelerating Iterative Solvers

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:46.874747Z

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Observation 71a8129e-00dd-4f83-8f37-72b05fdbf805 · outbound

This paper cites Pretrain finite element method: A pretraining and warm-start framework for pdes via physics-informed neural operators,.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Pretrain finite element method: A pretraining and warm-start framework for pdes via physics-informed neural operators,

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:47.024759Z

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Observation 8013ad7e-ad95-4a94-9b48-c98dc0c474a5 · outbound

This paper cites Level set methods: an overview and some recent results,.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Level set methods: an overview and some recent results,

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:47.214946Z

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Observation 05b6b6c2-599e-4593-a1f9-9c81e76572ae · outbound

This paper cites Level set methods and dynamic implicit surfaces,.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Level set methods and dynamic implicit surfaces,

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:47.334750Z

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Observation 3edfaacb-a0c8-4e27-ba96-b4b1a1170159 · outbound

This paper cites ϕ-fem: a finite element method on domains defined by level-sets,.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains ϕ-fem: a finite element method on domains defined by level-sets,

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:47.444902Z

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Observation 29dccf87-c355-416d-a690-79afe30bcb2e · outbound

This paper cites φ-fem, a finite element method on domains defined by level-sets: the neumann boundary case,.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains φ-fem, a finite element method on domains defined by level-sets: the neumann boundary case,

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:47.554873Z

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Observation ab97a24e-07b0-4205-a191-d71820473283 · outbound

This paper cites φ-fem-fno: a new approach to train a neural operator as a fast pde solver for variable geometries,.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains φ-fem-fno: a new approach to train a neural operator as a fast pde solver for variable geometries,

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:47.644753Z

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Unavailable: canonical work link unavailable.

Observation b0b46911-2e0c-480f-9e28-7c3530dfd5c6 · outbound

This paper cites Cut finite element methods,.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Cut finite element methods,

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:47.764857Z

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Observation ccf671a3-4ddb-441c-ac57-132ecca3362f · outbound

This paper cites Bonet and R.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Bonet and R

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:47.874752Z

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Observation 04428912-d9a5-4d85-8b58-e14cdab7f35c · outbound

This paper cites an unresolved cited work.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:47.964741Z

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Observation c9dbedc1-1406-493d-a628-e3d66ebe1fad · outbound

This paper cites Nitsol: A newton iterative solver for nonlinear systems,.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Nitsol: A newton iterative solver for nonlinear systems,

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:48.084932Z

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Observation 4881b6c8-33be-4c0a-98de-e894c8fb444c · outbound

This paper cites Function minimization by conjugate gradients,.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Function minimization by conjugate gradients,

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:48.214751Z

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Observation 38d259ab-c8c0-45df-bbf3-34bc43d9f280 · outbound

This paper cites A survey of nonlinear conjugate gradient methods,.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains A survey of nonlinear conjugate gradient methods,

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:48.354741Z

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Observation 3c4e1f35-b86b-442f-8d0b-08b88224ebd6 · outbound

This paper cites Gmres: A generalized minimal residual algorithm for solving non- symmetric linear systems,.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Gmres: A generalized minimal residual algorithm for solving non- symmetric linear systems,

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:48.464734Z

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Observation 55f111c6-6874-46e6-9e01-5a766242e9d0 · outbound

This paper cites Gmres with deflated restarting,.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Gmres with deflated restarting,

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:48.644751Z

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Observation 449c4789-33f5-41b6-a0bf-15c3e3c90c50 · outbound

This paper cites Petsc users manual,.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Petsc users manual,

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:48.774738Z

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Observation 43164431-04dd-4ea4-896b-ac9a950ccb8b · outbound

This paper cites SOAP: Improving and Stabilizing Shampoo using Adam.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains SOAP: Improving and Stabilizing Shampoo using Adam

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:48.904967Z

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Observation 28329bea-4c8d-4759-911d-2d62010ea47d · outbound

This paper cites Gaussian processes in machine learning,.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Gaussian processes in machine learning,

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:49.104829Z

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Observation 7afb3727-262a-43a9-bc04-06900368b020 · outbound

This paper cites an unresolved cited work.

WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-02T13:18:49.247835Z

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Pith citing papers

Observation 30cc3e7f-0429-4373-93f6-e097ab1d0070 · inbound

Data-free neural PDE solvers based on Graph Neural Networks and weak forms cites this paper.

Data-free neural PDE solvers based on Graph Neural Networks and weak forms WINO: A Weak-Form Physics Informed Neural Operator for Hyperelasticity on Variable Domains

Reference 40

Resolution: unresolved; no resolver link, observed 2026-07-31T23:24:58.594046Z

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Unavailable: canonical work link unavailable.