Paper Citation Record · LEDGER

A Neural Operator based on Dynamic Mode Decomposition

As of 8 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2507.01117.

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

pith.paper-citation-record.v1
2507.01117 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:08:17.226168Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

43 of 43 outbound references displayed

verified exact1
verified fuzzy4
unresolved37
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 86cfc42a-fa54-4764-ab8c-e5613cb3b5a2 · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:23.813934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1101cf64-088b-40df-a574-e039161d916d · outbound

This paper cites 12556–12569, 2023.

A Neural Operator based on Dynamic Mode Decomposition 12556–12569, 2023

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:08:23.624656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b8a9550b-896b-4771-9352-6a689d017e17 · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:23.439672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4cc2bb8c-fd14-416f-9a72-3e85d6f772db · outbound

This paper cites S., ”SSNO: Spatio-Spectral Neural Operator for Functional Space Learning of Partial Differential Equations,”IEEE Access, vol.

A Neural Operator based on Dynamic Mode Decomposition S., ”SSNO: Spatio-Spectral Neural Operator for Functional Space Learning of Partial Differential Equations,”IEEE Access, vol

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 037c8fc2-604b-4e64-8868-9e435b342b8b · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:23.285796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ef86ae65-088f-4abe-9779-fdec0229534e · outbound

This paper cites Neural Operator: Graph Kernel Network for Partial Differential Equations.

A Neural Operator based on Dynamic Mode Decomposition Neural Operator: Graph Kernel Network for Partial Differential Equations

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T21:08:14.507053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd290c26-a2c5-447f-822a-af68f1567bc0 · outbound

This paper cites 26 18247–18256, 2023.

A Neural Operator based on Dynamic Mode Decomposition 26 18247–18256, 2023

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:08:22.931969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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

This paper cites U-NO: U-shaped Neural Operators.

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 49018a33-e191-4656-8d77-8168c8704e1f · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:22.740272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9adacfca-156e-4fce-8c8f-d55f0356df65 · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:22.462498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bd31276b-bc13-407c-bf7c-f1c5b8df2d56 · outbound

This paper cites 1–8, 2024.

A Neural Operator based on Dynamic Mode Decomposition 1–8, 2024

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:08:22.216919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation aa523ad2-1fff-493c-8ac8-1c12982cc95e · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:21.981698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 27ed4eeb-0af9-4748-9dcc-acf9b72540f9 · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:21.784622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5b025abb-71a4-44c6-92b5-aea03d814f69 · outbound

This paper cites Factorized Fourier Neural Operators.

A Neural Operator based on Dynamic Mode Decomposition Factorized Fourier Neural Operators

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T21:08:15.030139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e687ea38-138e-4337-bb19-75a8fecc8d4c · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:21.515130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 906140e8-431f-4200-9413-b34d9ae34ca8 · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:21.201714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 713274b3-6d10-4c3d-b6d0-7b48be0d96f1 · outbound

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

A Neural Operator based on Dynamic Mode Decomposition DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T21:08:15.186430Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 030621e8-4679-4f60-b7ef-3f93edcc75df · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:21.028842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 253410cb-1312-4bc7-9cb8-972f77d1948f · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:20.846734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 26cf0918-2ec4-4bc9-a885-6c39da17593c · outbound

This paper cites DIMON: Learning Solution Operators of Partial Differential Equations on a Diffeomorphic Family of Domains.

A Neural Operator based on Dynamic Mode Decomposition DIMON: Learning Solution Operators of Partial Differential Equations on a Diffeomorphic Family of Domains

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T21:08:15.418716Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c96abe4-a2ad-4d9c-8b76-1de9b6b2d5b3 · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 22

Resolution: verified exact; doi, observed 2026-08-06T21:08:17.368369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 197e3f58-d96a-4eab-ad87-baf12acd0c98 · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:20.645642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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

This paper cites Wavelet neural operator: a neural operator for parametric partial differential equations.

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

Reference 24

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f11e450d-9a35-4383-8685-8f59573704a4 · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:20.376062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0578fef4-d8bf-402d-8259-1f994fb15c6a · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:20.175275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0be47caa-c55f-49ad-900a-258651733440 · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:19.905391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 76a5d0d3-e227-42de-8715-f7563e22d8a4 · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:19.672523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7e377dfe-26df-4995-8a40-06e320fa48b7 · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:19.485449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4161a246-43c3-432e-a24d-a215220d064f · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:19.391085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0f5a70b2-8849-4bbb-96df-8f68e5b352aa · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:19.242798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6b66401b-65f0-4729-b82a-615eb100f82f · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:19.039768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1c963d91-ad57-450b-938f-c56e9838f2f1 · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:18.843032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fa8f7e17-204e-4cb7-8335-57e809eddcb8 · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:18.722841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9cc8bdc4-dbde-4b6e-9e73-3590c3a5fb6e · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:18.585304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ce8a1628-0ad1-464c-afa1-e83de059c68c · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:18.459548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 92cc4980-e8fc-4bdb-88c1-61e2932eb6c3 · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:18.346307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c1b7f9b7-cb03-415a-a36e-22a4834342ed · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:18.216537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d7c19ed7-62fe-4f6a-85ab-08d936b1584f · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-06T21:08:16.840169Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a82199ad-bc36-448a-8de5-696867d6c567 · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:18.115121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3c523cba-1d43-400c-9e27-1ac8a4c17e76 · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:18.030537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3b1b342a-a60b-4406-b67d-cdb74370b516 · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:17.922639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f7ae7d04-d8ee-4ab3-bd72-c0c04931a9d6 · outbound

This paper cites 2025663626; Rospatent Federal Service on Intellectual Property: Moscow, Russia, 2025.

A Neural Operator based on Dynamic Mode Decomposition 2025663626; Rospatent Federal Service on Intellectual Property: Moscow, Russia, 2025

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:08:17.847120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 79c60608-a0a8-4bf4-97b9-26613fa234f3 · outbound

This paper cites an unresolved cited work.

A Neural Operator based on Dynamic Mode Decomposition Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:08:17.741131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.