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Paper Citation Record · LEDGER

Toward a Better Understanding of Fourier Neural Operators from a Spectral Perspective

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 13 inbound Pith citation observations for arXiv:2404.07200.

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

pith.paper-citation-record.v1
2404.07200 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 13 of 13 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T18:42:59.165075Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T18:30:02.726510Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 4af490e4-184d-41cb-9d70-ef10a6a49dd2 · inbound

Modeling Multivariable High-resolution 3D Urban Microclimate Using Localized Fourier Neural Operator cites this paper.

Modeling Multivariable High-resolution 3D Urban Microclimate Using Localized Fourier Neural Operator Toward a Better Understanding of Fourier Neural Operators from a Spectral Perspective

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-12T18:42:59.165075Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T18:42:59.165075Z digest=sha256:1db69ec54cbd2d2352353615d936429a6e16ead270b677af51c9d16fd557106c

Observation c0bd888d-1452-4750-bdf2-081cd98d5634 · inbound

Loss Terms and Operator Forms of Koopman Autoencoders cites this paper.

Loss Terms and Operator Forms of Koopman Autoencoders Toward a Better Understanding of Fourier Neural Operators from a Spectral Perspective

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-11T21:27:26.390237Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:27:26.390237Z digest=sha256:f93e4334b4d2aad4a2df1182cdb63ddbe6ef6b4fa327d69bf4df22b1f56b78b8

Observation 275ed08c-56ec-46ea-9ceb-d70af5928cf0 · inbound

Some Best Practices in Operator Learning cites this paper.

Some Best Practices in Operator Learning Toward a Better Understanding of Fourier Neural Operators from a Spectral Perspective

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-11T19:24:02.965925Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T19:24:02.965925Z digest=sha256:31b737d2883078642ddd32ca8f275ddd3836ef8be665da1c0ef94a49abcd39b2

Observation 322eb4cd-47da-40ae-8adc-4988a3c76668 · inbound

Optimal Convergence Rates for Neural Operators cites this paper.

Optimal Convergence Rates for Neural Operators Toward a Better Understanding of Fourier Neural Operators from a Spectral Perspective

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-11T05:34:06.691704Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T05:34:06.691704Z digest=sha256:ad10c870223508562c2877e567cdbc0f1c1f8fe2ed1c045ec0cae3ec61c97577

Observation 6bf24c45-815a-401b-a714-38b0ecac5f58 · inbound

Mitigating Frequency Learning Bias in Quantum Models via Multi-Stage Residual Learning cites this paper.

Mitigating Frequency Learning Bias in Quantum Models via Multi-Stage Residual Learning Toward a Better Understanding of Fourier Neural Operators from a Spectral Perspective

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-15T13:25:50.494918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-15T13:23:04.252160Z digest=sha256:1ff6bea322c8abbb21e88d4ef0c0eb1a8f6c5883ebe19cec47369f0616e4cfd1

Observation 81c9a996-0739-469c-a82f-fb95788c3df7 · inbound

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

MENO: MeanFlow-Enhanced Neural Operators for Dynamical Systems Toward a Better Understanding of Fourier Neural Operators from a Spectral Perspective

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-05-11T00:20:51.422662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T18:36:38.674342Z digest=sha256:a8e20661f56398994c75277d1f3cd50180d032bd992f9fc014d4b7ee4d3e9b4d

Observation b4a3b47b-1a2e-416c-87f3-501b93f78fcb · inbound

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

MENO: MeanFlow-Enhanced Neural Operators for Dynamical Systems Toward a Better Understanding of Fourier Neural Operators from a Spectral Perspective

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-13T08:47:34.631129Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T08:47:34.631129Z digest=sha256:6616e4d9094e29f3538c3258c0e50919deba6af6ba4ef29f2803e0e6715a80e3

Observation b473c186-deb7-44b2-b13d-b26be6bb1138 · inbound

Deciphering Neural Reparameterized Full-Waveform Inversion with Neural Sensitivity Kernel and Wave Tangent Kernel cites this paper.

Deciphering Neural Reparameterized Full-Waveform Inversion with Neural Sensitivity Kernel and Wave Tangent Kernel Toward a Better Understanding of Fourier Neural Operators from a Spectral Perspective

Reference 61

Resolution
metadata mismatch
arxiv_id, observed 2026-05-15T01:58:28.953730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-05-15T01:58:02.062722Z digest=sha256:3cc762af1a0668993e4d442b74932cff08a10a6467d5ef28b308950bc8b699a5

Observation f2f4f0bb-311e-412d-a951-d9396265b385 · inbound

Iterative Refinement Neural Operators are Learned Fixed-Point Solvers: A Principled Approach to Spectral Bias Mitigation cites this paper.

Iterative Refinement Neural Operators are Learned Fixed-Point Solvers: A Principled Approach to Spectral Bias Mitigation Toward a Better Understanding of Fourier Neural Operators from a Spectral Perspective

Reference 11

Resolution
metadata mismatch
arxiv_id, observed 2026-06-30T17:04:56.500346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-30T17:04:15.678982Z digest=sha256:fb4a13f860fbe3431cffeed60a733c6efebe6b3810737b504a89018b0ec0c29e

Observation b2fbefe5-2751-4bc4-a0b3-a93fad75330a · inbound

Correcting Neural Operator Spectral Bias via Diffusion Posterior Sampling with Sparse Observations cites this paper.

Correcting Neural Operator Spectral Bias via Diffusion Posterior Sampling with Sparse Observations Toward a Better Understanding of Fourier Neural Operators from a Spectral Perspective

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-07-02T02:06:27.771239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-28T11:10:52.822919Z digest=sha256:47f49fc8833237b56189504333a67cd53830d510a8685f64f766e7cc346f1b4a

Observation 7a241f00-e194-4ae3-80be-397e605937b3 · inbound

Operator Boosting Produces Pareto-Efficient PDE Surrogates cites this paper.

Operator Boosting Produces Pareto-Efficient PDE Surrogates Toward a Better Understanding of Fourier Neural Operators from a Spectral Perspective

Reference 30

Resolution
verified exact
arxiv_id, observed 2026-07-03T20:08:55.731189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-27T01:41:47.354707Z digest=sha256:a3a8c2074cb04d2e3acdcc54e4e5bbf01b29b9a8f018a4007c5beb3ae44f7e03

Observation bd4cb74f-2e64-4caf-a8cc-eae6849b8459 · inbound

A Physics-Informed Fourier-Wavelet Transformer for Multiscale Computational Fluid Dynamics Surrogate Modeling cites this paper.

A Physics-Informed Fourier-Wavelet Transformer for Multiscale Computational Fluid Dynamics Surrogate Modeling Toward a Better Understanding of Fourier Neural Operators from a Spectral Perspective

Reference 45

Resolution
verified exact
arxiv_id, observed 2026-07-04T18:30:02.727953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-25T22:47:05.775339Z digest=sha256:7958f97a7ff9fd956b11d8b00e40398d0021154ef1c0ba794e4ddb0199818820

Observation ce741224-3780-4e39-9c38-c7387569ce55 · inbound

CoFINN: Conservation Flux Informed Neural Networks for Physics Problems Governed by Conservation Laws cites this paper.

CoFINN: Conservation Flux Informed Neural Networks for Physics Problems Governed by Conservation Laws Toward a Better Understanding of Fourier Neural Operators from a Spectral Perspective

Reference 29

Resolution
unresolved
no resolver link, observed 2026-07-11T19:51:56.544026Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T19:51:56.544026Z digest=sha256:721f3aca1a9ff56204f864782005d04a1f86adb85d33cf57a5d4676067d9a5b9