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Paper Citation Record · LEDGER

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

As of 9 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 2026-08-09T06:31:02.800959+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:d38e80c9970ce09e009eead5fd889b842c056229e5ee7646f126ab2e221ff34f

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=sha256:05b9a4b44bca0749dffe04a686618cc228fa82a615af4c06ac8544334e05c583

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

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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

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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=sha256:2df4275bee2231f1fb91b7b222736da03753351c16a2189e23c8ced8d8fe0777

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

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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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-18T11:26:06.622876Z digest=sha256:ec645d3814c7e1c26524d65253a6f0b00403d56879d7af17003f8cb66e10cf49

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T17:56:52.999968Z digest=sha256:30840f5764c9a382fc5e14b0e0a61f8a43292f53593ea0b86b1796b0e29764eb

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 2026-08-09T06:31:02.800959+00:00.

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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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-05-12T03:54:07.625986Z digest=sha256:bd7afcedf777e147a988ac9a722946621eabcafc6034c4251900ef6eb29be26e

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-05-12T03:27:14.464987Z digest=sha256:98b5a9d485a8ec146c3d464856bdd068aa1b9c1b426412e023953fcb1ed4feb4

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-05-14T21:21:32.256476Z digest=sha256:f862a4b764199578944005c922c21a5620a3e750aeb86e82be86dd89131ef465

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-12T04:26:28.481470Z digest=sha256:fa670457494c2a09d923ed1bd46e5a09b4fb7de6eec82a61fa12b69cf16e1f23

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

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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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-14T20:31:02.246184Z digest=sha256:27a0535c5051e69dc188232df0cfbe09c99520c827181080b0fde31d4f551a4e

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 2026-08-09T06:31:02.800959+00:00.

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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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-29T22:14:36.959998Z digest=sha256:b63e2673da90ec81d73dde39b8e4234a5460a4e28e0e355084ca1120dd68d011

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

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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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-28T23:16:48.582093Z digest=sha256:920101342a19ceab6c0e9cdfb096625db4e34da0d14cb655c51309ea3e332176

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-28T13:35:13.585468Z digest=sha256:f1c8efaf24b11ea5335151b25dbd83956685ef4fdfe4f42a751e7f50c3127eb9

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 2026-08-09T06:31:02.800959+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

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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 2026-08-09T06:31:02.800959+00:00.

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