Paper Citation Record · LEDGER

U-NO: U-shaped Neural Operators

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 41 inbound Pith citation observations for arXiv:2204.11127.

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

pith.paper-citation-record.v1
2204.11127 v3

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measured 41 of 41 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 41 of 41 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T18:36:27.326570Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T21:00:09.179296Z

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Outbound references

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Pith citing papers

Observation fbf3bc19-f6fb-47f2-ad24-765ddf5bd1af · inbound

Generative Adaptation of Dynamics to Environmental Shifts via Weight-space Diffusion cites this paper.

Generative Adaptation of Dynamics to Environmental Shifts via Weight-space Diffusion U-NO: U-shaped Neural Operators

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-22T15:01:42.532554Z

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Observation d053a206-dc1e-40ed-a083-402bdc52217e · inbound

Operator Learning for Schr\"{o}dinger Equation: Unitarity, Error Bounds, and Time Generalization cites this paper.

Operator Learning for Schr\"{o}dinger Equation: Unitarity, Error Bounds, and Time Generalization U-NO: U-shaped Neural Operators

Reference 7

Resolution: metadata mismatch; arxiv_id, observed 2026-05-19T13:07:18.192947Z

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Observation 0df0b72d-dfea-4634-acb8-8a92ca39d482 · inbound

Hierarchical-embedding autoencoder with a predictor (HEAP) as efficient architecture for learning long-term evolution of complex multi-scale physical systems cites this paper.

Hierarchical-embedding autoencoder with a predictor (HEAP) as efficient architecture for learning long-term evolution of complex multi-scale physical systems U-NO: U-shaped Neural Operators

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-07T14:27:44.081163Z

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Observation 14509b35-1ace-4f84-9e52-a5f0f9065637 · inbound

Latent Mamba Operator for Partial Differential Equations cites this paper.

Latent Mamba Operator for Partial Differential Equations U-NO: U-shaped Neural Operators

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T14:24:44.086004Z

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Observation 7a011266-34f1-4ecd-8b1c-a017955e961a · inbound

LaDEEP: A Deep Learning-based Surrogate Model for Large Deformation of Elastic-Plastic Solids cites this paper.

LaDEEP: A Deep Learning-based Surrogate Model for Large Deformation of Elastic-Plastic Solids U-NO: U-shaped Neural Operators

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-07T06:05:53.420684Z

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Observation d4afae23-70d0-4564-b2e3-5aee71094830 · inbound

Principled Approaches for Extending Neural Architectures to Function Spaces for Operator Learning cites this paper.

Principled Approaches for Extending Neural Architectures to Function Spaces for Operator Learning U-NO: U-shaped Neural Operators

Reference 86

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:44.552852Z

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Observation 8305c671-1469-43ae-b438-3191dc3c77b3 · inbound

A Neural Operator based on Dynamic Mode Decomposition cites this paper.

A Neural Operator based on Dynamic Mode Decomposition U-NO: U-shaped Neural Operators

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T21:08:14.640194Z

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Observation e8c03153-e41c-45c2-853f-bfcbaabe7b41 · inbound

DPNO: A Dual Path Architecture For Neural Operator cites this paper.

DPNO: A Dual Path Architecture For Neural Operator U-NO: U-shaped Neural Operators

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T16:44:52.924285Z

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Observation a6bcf117-1daf-4eea-a34e-ee42d37f9169 · inbound

Modeling turbulent and self-gravitating fluids with Fourier neural operators cites this paper.

Modeling turbulent and self-gravitating fluids with Fourier neural operators U-NO: U-shaped Neural Operators

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:05.050938Z

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Observation aaa3d6b3-9c2e-447f-93ba-21f86e1de685 · inbound

GFocal: A Global-Focal Neural Operator for Solving PDEs on Arbitrary Geometries cites this paper.

GFocal: A Global-Focal Neural Operator for Solving PDEs on Arbitrary Geometries U-NO: U-shaped Neural Operators

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T00:03:04.124429Z

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Observation dae1c3de-0655-40ff-85ff-f5e3ed05f594 · inbound

Differentiable Autoencoding Neural Operator for Interpretable and Integrable Latent Space Modeling cites this paper.

Differentiable Autoencoding Neural Operator for Interpretable and Integrable Latent Space Modeling U-NO: U-shaped Neural Operators

Reference 42

Resolution: verified exact; arxiv_id, observed 2026-05-18T11:26:18.495642Z

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Observation 1d116a47-8056-436b-831a-2344ea74c86e · inbound

A Simple but Efficient Transformer-Based Physics-Informed Neural Network for Incompressible Navier--Stokes Equations cites this paper.

A Simple but Efficient Transformer-Based Physics-Informed Neural Network for Incompressible Navier--Stokes Equations U-NO: U-shaped Neural Operators

Reference 32

Resolution: metadata mismatch; arxiv_id, observed 2026-05-21T17:05:24.264996Z

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Observation d4f56f98-2683-423b-a96b-a3a6b0d268c7 · inbound

Multi-Scale Wavelet Transformers for Operator Learning of Dynamical Systems cites this paper.

Multi-Scale Wavelet Transformers for Operator Learning of Dynamical Systems U-NO: U-shaped Neural Operators

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-16T08:22:36.058491Z

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Observation a81af6aa-2416-4290-829b-093cddf05725 · inbound

MENO: MeanFlow-Enhanced Neural Operators for Dynamical Systems cites this paper.

MENO: MeanFlow-Enhanced Neural Operators for Dynamical Systems U-NO: U-shaped Neural Operators

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-11T00:20:51.377786Z

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Observation 7c6cab63-b651-4d5b-9d31-08e753ef6058 · inbound

SPAMoE: Spectrum-Aware Hybrid Operator Framework for Full-Waveform Inversion cites this paper.

SPAMoE: Spectrum-Aware Hybrid Operator Framework for Full-Waveform Inversion U-NO: U-shaped Neural Operators

Reference 14

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T06:31:00.816236Z

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Observation 3fa700bd-1fd2-4443-b3e4-ad1d5fe63672 · inbound

SPAMoE: Spectrum-Aware Hybrid Operator Framework for Full-Waveform Inversion cites this paper.

SPAMoE: Spectrum-Aware Hybrid Operator Framework for Full-Waveform Inversion U-NO: U-shaped Neural Operators

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-13T08:35:30.948277Z

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Observation ccbad321-e58e-4ddb-8887-0505f474ae52 · inbound

PerFlow: Physics-Embedded Rectified Flow for Efficient Reconstruction and Uncertainty Quantification of Spatiotemporal Dynamics cites this paper.

PerFlow: Physics-Embedded Rectified Flow for Efficient Reconstruction and Uncertainty Quantification of Spatiotemporal Dynamics U-NO: U-shaped Neural Operators

Reference 19

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T23:26:16.404905Z

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Observation 13181060-a834-4cb0-aac4-06418ea9bd83 · inbound

PerFlow: Physics-Embedded Rectified Flow for Efficient Reconstruction and Uncertainty Quantification of Spatiotemporal Dynamics cites this paper.

PerFlow: Physics-Embedded Rectified Flow for Efficient Reconstruction and Uncertainty Quantification of Spatiotemporal Dynamics U-NO: U-shaped Neural Operators

Reference 21

Resolution: metadata mismatch; arxiv_id, observed 2026-05-19T16:52:39.790166Z

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Observation c47795ec-9ac8-4205-87c5-e8394073d40f · inbound

Deep Wave Network for Modeling Multi-Scale Physical Dynamics cites this paper.

Deep Wave Network for Modeling Multi-Scale Physical Dynamics U-NO: U-shaped Neural Operators

Reference 43

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T17:31:04.874291Z

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Observation 087517d4-0e2f-44f0-ac84-cc0fcf7d180d · inbound

Autoregressive One-Step Generative Modeling for Dynamical System Forecasting cites this paper.

Autoregressive One-Step Generative Modeling for Dynamical System Forecasting U-NO: U-shaped Neural Operators

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T14:48:32.841925Z

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Observation c374dbcb-6360-46fe-870c-544b3aead149 · inbound

Physics-Informed Neural PDE Solvers via Spatio-Temporal MeanFlow cites this paper.

Physics-Informed Neural PDE Solvers via Spatio-Temporal MeanFlow U-NO: U-shaped Neural Operators

Reference 69

Resolution: verified exact; arxiv_id, observed 2026-05-12T06:51:28.352937Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1bba397f-5500-4423-84e0-a464273c2e4f · inbound

CATO: Charted Attention for Neural PDE Operators cites this paper.

CATO: Charted Attention for Neural PDE Operators U-NO: U-shaped Neural Operators

Reference 23

Resolution: metadata mismatch; arxiv_id, observed 2026-05-12T01:56:15.042309Z

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Observation f882db38-723b-4435-af06-74b76ad22327 · inbound

HS-FNO: History-Space Fourier Neural Operator for Non-Markovian Partial Differential Equations cites this paper.

HS-FNO: History-Space Fourier Neural Operator for Non-Markovian Partial Differential Equations U-NO: U-shaped Neural Operators

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-05-12T07:16:30.498564Z

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Observation 8c590447-2772-4d34-800d-f982134a1c8e · inbound

HS-FNO: History-Space Fourier Neural Operator for Non-Markovian Partial Differential Equations cites this paper.

HS-FNO: History-Space Fourier Neural Operator for Non-Markovian Partial Differential Equations U-NO: U-shaped Neural Operators

Reference 35

Resolution: metadata mismatch; arxiv_id, observed 2026-05-13T07:12:28.222564Z

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Observation 6808aca5-65d8-4ed4-a274-1bd9ce07729c · inbound

Stable Long-Horizon PDE Forecasting via Latent Structured Spectral Propagators cites this paper.

Stable Long-Horizon PDE Forecasting via Latent Structured Spectral Propagators U-NO: U-shaped Neural Operators

Reference 26

Resolution: metadata mismatch; arxiv_id, observed 2026-05-12T03:26:19.746069Z

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Observation cf453b50-d6d5-42f4-9677-9152d6b83752 · inbound

U-HNO: A U-shaped Hybrid Neural Operator with Sparse-Point Adaptive Routing for Non-stationary PDE Dynamics cites this paper.

U-HNO: A U-shaped Hybrid Neural Operator with Sparse-Point Adaptive Routing for Non-stationary PDE Dynamics U-NO: U-shaped Neural Operators

Reference 21

Resolution: metadata mismatch; arxiv_id, observed 2026-05-14T20:39:28.993384Z

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Observation f2a3583c-d134-4c83-8d2c-da5c0aaaaec8 · inbound

IKNO: Infinite-order Kernel Neural Operators cites this paper.

IKNO: Infinite-order Kernel Neural Operators U-NO: U-shaped Neural Operators

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-05-22T07:46:14.948971Z

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Observation 89625394-733f-4806-b95c-3990ae7b7fd3 · inbound

Autoregression-Free Neural Operators for Time-Dependent PDEs cites this paper.

Autoregression-Free Neural Operators for Time-Dependent PDEs U-NO: U-shaped Neural Operators

Reference 57

Resolution: metadata mismatch; arxiv_id, observed 2026-06-29T22:24:00.534677Z

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Observation 3619c1e7-d3c9-4ed7-975c-90c481ed9a4e · inbound

On the training of physics-informed neural operators for solving parametric partial differential equations cites this paper.

On the training of physics-informed neural operators for solving parametric partial differential equations U-NO: U-shaped Neural Operators

Reference 23

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T11:36:55.260698Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c1d6ed3e-66d2-485d-a4da-fb539af53ada · inbound

HAMNO: A Hierarchical Adaptive Multi-scale Neural Operator with Physics-Informed Learning for Dynamical Systems cites this paper.

HAMNO: A Hierarchical Adaptive Multi-scale Neural Operator with Physics-Informed Learning for Dynamical Systems U-NO: U-shaped Neural Operators

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-07-03T10:17:57.365798Z

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Observation 5bca04eb-836b-4376-bd99-829773e15191 · inbound

Principal-Part Decomposition for Neural Operator Learning of Dirichlet-to-Neumann Maps cites this paper.

Principal-Part Decomposition for Neural Operator Learning of Dirichlet-to-Neumann Maps U-NO: U-shaped Neural Operators

Reference 3

Resolution: metadata mismatch; arxiv_id, observed 2026-07-04T21:00:09.180713Z

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Observation 8514cbd9-2be6-447e-8761-80a3d201cc74 · inbound

Higher-Order Fourier Neural Operator: Explicit Mode Mixer for Nonlinear PDEs cites this paper.

Higher-Order Fourier Neural Operator: Explicit Mode Mixer for Nonlinear PDEs U-NO: U-shaped Neural Operators

Reference 37

Resolution: metadata mismatch; arxiv_id, observed 2026-07-01T18:45:58.237013Z

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Observation 7b8f72aa-969b-45e2-baa8-5ac009a2cab4 · inbound

McMg: A Learned Phase-Space Multi-channel Multigrid Preconditioner for Helmholtz Equation cites this paper.

McMg: A Learned Phase-Space Multi-channel Multigrid Preconditioner for Helmholtz Equation U-NO: U-shaped Neural Operators

Reference 30

Resolution: metadata mismatch; arxiv_id, observed 2026-06-30T16:24:57.792759Z

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Observation df9a6e78-e7b0-407d-a141-880c6e0cce25 · inbound

McMg: A Learned Phase-Space Multi-channel Multigrid Preconditioner for Helmholtz Equation cites this paper.

McMg: A Learned Phase-Space Multi-channel Multigrid Preconditioner for Helmholtz Equation U-NO: U-shaped Neural Operators

Reference 30

Resolution: metadata mismatch; arxiv_id, observed 2026-07-03T22:39:01.229321Z

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Observation 6836f29f-d25f-459b-8187-efa082ace54d · inbound

Temperature Field Reconstruction of Tungsten Monoblock Divertor on EAST using Physics-aware Neural Operator Transformer cites this paper.

Temperature Field Reconstruction of Tungsten Monoblock Divertor on EAST using Physics-aware Neural Operator Transformer U-NO: U-shaped Neural Operators

Reference 25

Resolution: metadata mismatch; arxiv_id, observed 2026-07-01T10:15:44.184972Z

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Observation 791f3916-2145-4c5a-8d9e-ef02a4cc7b27 · inbound

GAIA: Geometry-Adaptive Operator Learning for Forward and Inverse Problems cites this paper.

GAIA: Geometry-Adaptive Operator Learning for Forward and Inverse Problems U-NO: U-shaped Neural Operators

Reference 22

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T15:37:05.876649Z

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Observation 0d8c0b5c-951a-4ba7-95dd-fc59e8dbaef6 · inbound

Adaptive Mamba Neural Operators cites this paper.

Adaptive Mamba Neural Operators U-NO: U-shaped Neural Operators

Reference 2012

Resolution: unresolved; no resolver link, observed 2026-08-01T16:25:00.587416Z

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Observation fc152d7d-1279-4cb9-b8f6-367f35098db8 · inbound

No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study cites this paper.

No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study U-NO: U-shaped Neural Operators

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-30T16:23:26.483699Z

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Observation bebdc4d4-0d46-40e3-a2b4-1be2e2fd9f43 · inbound

Feature Interaction Modeling for Physics-Informed Neural Networks and Neural Operators cites this paper.

Feature Interaction Modeling for Physics-Informed Neural Networks and Neural Operators U-NO: U-shaped Neural Operators

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T00:32:10.699122Z

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Observation f2f2bc98-44a2-4344-ba4e-ff643f912ff3 · inbound

Identifiability-Aware Source Apportionment in City-Scale Advection-Diffusion Systems cites this paper.

Identifiability-Aware Source Apportionment in City-Scale Advection-Diffusion Systems U-NO: U-shaped Neural Operators

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-04T01:37:39.899175Z

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Observation 4d766850-37c2-4755-836e-043dc8ad912e · inbound

Improving Auto-Design of Neural PDE Solvers with a Domain-Specific Language cites this paper.

Improving Auto-Design of Neural PDE Solvers with a Domain-Specific Language U-NO: U-shaped Neural Operators

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-08T18:36:27.326570Z

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