Paper Citation Record · LEDGER

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments

As of 20 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2507.17887.

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

pith.paper-citation-record.v1
2507.17887 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:48:28.963545Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

27 of 27 outbound references displayed

verified exact4
verified fuzzy6
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3a5a6039-64a1-42d0-b0f1-20832e7edf2b · outbound

This paper cites and Glynn, P.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments and Glynn, P

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:48:33.291487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d6292ba9-f9c8-4077-8b8f-dda18254d378 · outbound

This paper cites an unresolved cited work.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:48:33.097799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1c9c2a5d-14a0-4d91-88d7-2f05c1fc828d · outbound

This paper cites an unresolved cited work.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:48:32.963882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 19ece3af-3417-475a-b915-3545e9f3a3a3 · outbound

This paper cites and Fourni\'e, D.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments and Fourni\'e, D

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:48:32.731737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c375f39d-8c5e-4f76-80d3-01c1e67bbb3d · outbound

This paper cites and Lu, Y.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments and Lu, Y

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:48:32.522327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f19a0e7c-593f-424d-ac41-8eacfc780c34 · outbound

This paper cites and \"Ust\"unel, A.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments and \"Ust\"unel, A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:48:32.331313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 78192f16-5dad-4a80-ad77-1049556979d3 · outbound

This paper cites an unresolved cited work.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:48:32.177138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a700c2a9-b405-4e94-96bb-00641ee6921a · outbound

This paper cites and Miranda, C.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments and Miranda, C

Reference 8

Resolution: verified exact; raw_fallback, observed 2026-08-06T14:48:30.123382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 20934d8b-679b-4121-a48e-326309d4b3f6 · outbound

This paper cites an unresolved cited work.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T14:48:27.116624Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ab6053fc-7d7f-4859-a25b-d5cb97dad7d0 · outbound

This paper cites and Schmidhuber, J.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments and Schmidhuber, J

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T14:48:27.205548Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c902e73-c7e0-432d-a384-02be3433a21f · outbound

This paper cites an unresolved cited work.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:48:32.020735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 83c03f4c-2afa-4c3d-a080-b2e15f9638a7 · outbound

This paper cites Neural Operator with Regularity Structure for Modeling Dynamics Driven by SPDEs.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments Neural Operator with Regularity Structure for Modeling Dynamics Driven by SPDEs

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-06T14:48:29.897275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4dd16c5f-f8e3-4eb2-8ea3-a494d848c66d · outbound

This paper cites an unresolved cited work.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:48:31.808264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c900e226-0488-4e9a-8325-ffaa2d4c57ac · outbound

This paper cites an unresolved cited work.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:48:31.591840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1e61e5ea-4d21-408d-b6a0-5165a6a492ca · outbound

This paper cites an unresolved cited work.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:48:31.472185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 53687755-628f-46ed-a1e9-08ff7736d11c · outbound

This paper cites Option pricing under path-dependent stock models.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments Option pricing under path-dependent stock models

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-06T14:48:29.590480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 738d9087-11fa-4f1e-a63a-3aa5a5234a1d · outbound

This paper cites An approximate operator-based learning method for the numerical solutions of stochastic differential equations.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments An approximate operator-based learning method for the numerical solutions of stochastic differential equations

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-06T14:48:29.362281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 59004dd5-6238-44cd-97ca-d503ecd512b7 · outbound

This paper cites an unresolved cited work.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:48:31.287913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2555e45a-0e8e-4dd2-a65f-fbb3e4354222 · outbound

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

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments Neural Operator: Graph Kernel Network for Partial Differential Equations

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T14:48:28.207856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e674eeb-707f-416b-bc04-c403c816daf2 · outbound

This paper cites an unresolved cited work.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:48:31.133521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 64a52268-072c-4a4a-9c11-11a718da6856 · outbound

This paper cites an unresolved cited work.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:48:30.984368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1187bf79-b54b-4d99-aab8-11e9d80241fa · outbound

This paper cites and Sch\"obel, R.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments and Sch\"obel, R

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:48:30.785914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation cd58db87-c60b-4ecf-920e-ce5c308efa9c · outbound

This paper cites an unresolved cited work.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:48:30.655135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 52101a00-0901-4466-a8e6-a48b50331e88 · outbound

This paper cites E., Asimaki, D., and Azizzadenesheli, K.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments E., Asimaki, D., and Azizzadenesheli, K

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T14:48:28.767168Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b98fd036-690f-46ca-93f5-4857ebb79d28 · outbound

This paper cites an unresolved cited work.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:48:30.489733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 12ec08fb-4f7d-4449-a01c-599bf99cb9dd · outbound

This paper cites Neural Stochastic Differential Equations: Deep Latent Gaussian Models in the Diffusion Limit.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments Neural Stochastic Differential Equations: Deep Latent Gaussian Models in the Diffusion Limit

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T14:48:28.903824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c11f4f26-0b2c-4fe8-802b-f9d342b08fc9 · outbound

This paper cites and Gong, J.

Fourier Neural Operators for Non-Markovian Processes:Approximation Theorems and Experiments and Gong, J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:48:30.298793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

No inbound Pith citation observations are available.