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Paper Citation Record · LEDGER

Wavelet neural operator: a neural operator for parametric partial differential equations

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 21 inbound Pith citation observations for arXiv:2205.02191.

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

pith.paper-citation-record.v1
2205.02191 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 21 of 21 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:47:50.078997Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T20:30:08.142607Z

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 67798f36-48a1-4e99-8ea8-ed8080be8442 · inbound

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations cites this paper.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 35

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unresolved
no resolver link, observed 2026-08-07T11:47:50.078997Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:47:50.078997Z digest=sha256:9ef165f73531a2bb15651497608cba2fbb860dee8d14dd830bd4bb0440935123

Observation c6961fa7-98b2-49c9-8d6d-ddcae4854825 · inbound

Hierarchical Implicit Neural Emulators cites this paper.

Hierarchical Implicit Neural Emulators Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 22

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unresolved
no resolver link, observed 2026-08-07T10:45:39.773593Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:45:39.773593Z digest=sha256:164f9041d6c32f32d820830b0cf927402800e01ad853c75483f68deb49b5e6e2

Observation 7e4ee1fb-eba0-4cc1-84aa-84a428e171c8 · 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 Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 102

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unresolved
no resolver link, observed 2026-08-07T04:19:46.108701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:19:46.108701Z digest=sha256:2aad124114e3d3a6d43387de0e7cd31d29835667ff267c4a8adc9496b81172bc

Observation a522997d-6762-4c4b-828d-3c9493889fd5 · inbound

PDEfuncta: Spectrally-Aware Neural Representation for PDE Solution Modeling cites this paper.

PDEfuncta: Spectrally-Aware Neural Representation for PDE Solution Modeling Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 31

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unresolved
no resolver link, observed 2026-08-07T00:48:16.384195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:48:16.384195Z digest=sha256:e571c1294764bc5c8b39985c91727e1a96547b72e8c3ed0159332d66752acc5e

Observation 94c40a87-dd62-4389-a677-f0d73bd040ae · inbound

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

A Neural Operator based on Dynamic Mode Decomposition Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 24

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unresolved
no resolver link, observed 2026-08-06T21:08:15.751963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:08:15.751963Z digest=sha256:9ccb79cd14026327f3cedb8e03c57d55010b502c90a9cab7fc8edb9e213361a7

Observation 870034e2-265a-40af-9f36-65790907e355 · inbound

Linear Attention with Global Context: A Multipole Attention Mechanism for Vision and Physics cites this paper.

Linear Attention with Global Context: A Multipole Attention Mechanism for Vision and Physics Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-06T20:29:57.184495Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:29:57.184495Z digest=sha256:38761d5dbb734746c9c0deac1486a8928a6b0e940b2a76e752f089694782754d

Observation 2c79a67c-e437-4475-b85d-9a19fb6cac81 · inbound

Diffeomorphic Neural Operator Learning cites this paper.

Diffeomorphic Neural Operator Learning Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-05T22:39:54.717580Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T22:39:54.717580Z digest=sha256:b1dc776c85322d526d9f2964024397ca41389c7db6eb0a90c52fd8606e234880

Observation 2bd2c7a1-435d-45f6-827e-4de7a5160cfc · 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 Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 41

Resolution
verified exact
arxiv_id, observed 2026-05-18T11:26:18.522205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-18T11:26:06.622876Z digest=sha256:195f099177a719d3e1fd891d372caba3eea3192380b2b4015a5f90278bcddf35

Observation 2e33f0d8-9802-432d-9a71-88e3f1f56844 · inbound

$\phi-$DeepONet: A Discontinuity Capturing Neural Operator cites this paper.

$\phi-$DeepONet: A Discontinuity Capturing Neural Operator Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 23

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metadata mismatch
arxiv_id, observed 2026-05-11T05:46:13.499929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T17:56:52.999968Z digest=sha256:42013c7f17e2a666016d6f2b6c9d4d456fe033b332939d9a96b1e24f7db9a56d

Observation 947ad6f9-081d-4f9d-b1d5-54ab00cc645f · inbound

Neural Operator Representation of Granular Micromechanics-based Failure Envelope cites this paper.

Neural Operator Representation of Granular Micromechanics-based Failure Envelope Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 87

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metadata mismatch
arxiv_id, observed 2026-05-11T13:21:14.795602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T01:51:03.307859Z digest=sha256:abfc7f20530ae5d2d61fbc95558e9d130edad8f13de5784de54af5427a8b9989

Observation 637c1f67-06df-4f32-a60e-3f8bd6ba28ee · inbound

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

Physics-Informed Neural PDE Solvers via Spatio-Temporal MeanFlow Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 72

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verified exact
arxiv_id, observed 2026-05-12T03:56:21.937719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-12T03:54:07.625986Z digest=sha256:ce968a1f7254ca50fdea68738abafb6c8fd8e18a732533d0a29b18f4d799a2a8

Observation 72b4befd-0d43-4edc-bd28-98f15236afe6 · inbound

PnP-Corrector: A Universal Correction Framework for Coupled Spatiotemporal Forecasting cites this paper.

PnP-Corrector: A Universal Correction Framework for Coupled Spatiotemporal Forecasting Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 164

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metadata mismatch
arxiv_id, observed 2026-05-12T07:21:26.155576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-12T03:27:14.464987Z digest=sha256:09a6830e4bf591aea331b6d0a61dc5191ac53723a5f1c5ce56c8c062438eed3f

Observation f20dff7d-098f-4c97-a1f1-8d99411913ef · inbound

PnP-Corrector: A Universal Correction Framework for Coupled Spatiotemporal Forecasting cites this paper.

PnP-Corrector: A Universal Correction Framework for Coupled Spatiotemporal Forecasting Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 164

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metadata mismatch
arxiv_id, observed 2026-05-14T21:22:59.164581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-14T21:21:32.256476Z digest=sha256:64476962554b2610bb8338919dd9191c5a5ff998982c0d9d8d2bfef3d192fe13

Observation 5b3c9862-83b9-4c75-9fac-0d06ced7baa2 · inbound

Don't Fix the Basis -- Learn It: Spectral Representation with Adaptive Basis Learning for PDEs cites this paper.

Don't Fix the Basis -- Learn It: Spectral Representation with Adaptive Basis Learning for PDEs Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 19

Resolution
metadata mismatch
arxiv_id, observed 2026-05-12T06:16:27.698617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-12T04:26:28.481470Z digest=sha256:feae74ef62bdda1adc2eafd830b3f4c73ee26bbed12f24ab76453c4417709916

Observation 262d7045-9354-46c2-b3af-36b7d2efb21a · 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 Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 29

Resolution
metadata mismatch
arxiv_id, observed 2026-05-14T20:39:28.928494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-14T20:31:02.246184Z digest=sha256:bfc4a0983b4d339bf11a46509226e531a20ef6c8bfa7512a0babc7e037121f90

Observation d8c69d15-b727-4b18-be64-e133db8a30b9 · inbound

Courant: a State-Adaptive Perceiver-Based Neural Surrogate with Local Support and Interpretable Field Decomposition cites this paper.

Courant: a State-Adaptive Perceiver-Based Neural Surrogate with Local Support and Interpretable Field Decomposition Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 19

Resolution
metadata mismatch
arxiv_id, observed 2026-06-30T12:04:38.635789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-30T12:04:11.145829Z digest=sha256:08711605cc3f1c404c41c1aa711e1588daafb1d408904b15196d1629f71e133a

Observation 30220e6c-491d-4ff2-82a4-03b6f9289f48 · inbound

Small Models, Strong Priors: Architectural Inductive Bias for Parameter-Efficient Neural PDE Solvers cites this paper.

Small Models, Strong Priors: Architectural Inductive Bias for Parameter-Efficient Neural PDE Solvers Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 40

Resolution
metadata mismatch
arxiv_id, observed 2026-06-29T22:34:02.770896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-29T22:14:36.959998Z digest=sha256:8ff7dc65e11086235d5e5b51e414d3c178cf0182e8d88e6d21795d013250b9d2

Observation 7b0061e9-5b92-41fd-8954-39221eb01ef9 · inbound

Functional Attention: From Pairwise Affinities to Functional Correspondences cites this paper.

Functional Attention: From Pairwise Affinities to Functional Correspondences Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-06-29T00:02:50.332691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-28T23:16:48.582093Z digest=sha256:0fcf69d97aceec2541de7054144f776b74f0e0b180b367405db5eecf1761c433

Observation 1caa6f57-f375-4bbb-bc1a-985c9b97dc4a · inbound

Spectral Audit of In-Context Operator Networks cites this paper.

Spectral Audit of In-Context Operator Networks Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 4

Resolution
metadata mismatch
arxiv_id, observed 2026-07-02T00:06:24.631479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-28T13:35:13.585468Z digest=sha256:fa9aecafed1616cd44b337b452a6827e401a1617aed4fcf97a48bcf31ec01826

Observation 346d8283-146f-443f-99e9-2d5eb201645d · inbound

Operator Learning on the Data-Driven Multiscale Space for Nonlinear Flow in Random Heterogeneous Porous Media cites this paper.

Operator Learning on the Data-Driven Multiscale Space for Nonlinear Flow in Random Heterogeneous Porous Media Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 25

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metadata mismatch
arxiv_id, observed 2026-07-04T20:30:08.144530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 85498c64-7f02-4645-84da-253cdb7a928b · inbound

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

GAIA: Geometry-Adaptive Operator Learning for Forward and Inverse Problems Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 26

Resolution
metadata mismatch
arxiv_id, observed 2026-07-02T15:37:05.865603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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