Paper Citation Record · LEDGER

Predicting The Evolution of Interfaces with Fourier Neural Operators

As of 18 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2505.13463.

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

pith.paper-citation-record.v1
2505.13463 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:42:32.027741Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

31 of 31 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2dee3649-e6e1-4936-8887-0fdf549706e2 · outbound

This paper cites Thermo-fluid dynamics of two-phase flow.

Predicting The Evolution of Interfaces with Fourier Neural Operators Thermo-fluid dynamics of two-phase flow

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:42:33.121793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 427ae9d1-0f85-41ae-8f80-ccefc60ccd92 · outbound

This paper cites Direct numerical simulations of gas–liquid multiphase flows.

Predicting The Evolution of Interfaces with Fourier Neural Operators Direct numerical simulations of gas–liquid multiphase flows

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:42:33.100030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7a7773ed-5d26-417c-9853-53a3e4c3861b · outbound

This paper cites Computational methods for multiphase flow.

Predicting The Evolution of Interfaces with Fourier Neural Operators Computational methods for multiphase flow

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:42:33.062144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c542d5cb-719d-4352-8e35-c3d613451156 · outbound

This paper cites A continuum method for modeling surface tension.

Predicting The Evolution of Interfaces with Fourier Neural Operators A continuum method for modeling surface tension

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:42:33.032764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 78509a45-c655-4d44-aa75-9f33efa70f07 · outbound

This paper cites V olume of fluid (vof) method for the dynamics of free boundaries.J.

Predicting The Evolution of Interfaces with Fourier Neural Operators V olume of fluid (vof) method for the dynamics of free boundaries.J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:42:32.991719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 58d09e69-d1d5-44d7-b2a2-fd44ca45d003 · outbound

This paper cites Direct numerical simulation of gas–liquid multiphase flows using the volume-of-fluid method.

Predicting The Evolution of Interfaces with Fourier Neural Operators Direct numerical simulation of gas–liquid multiphase flows using the volume-of-fluid method

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:42:32.954313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9b55d8e2-b7ab-44a1-a4bd-23dfdc187d76 · outbound

This paper cites A front-tracking method for the computations of interfacial flows with sharp interfaces.

Predicting The Evolution of Interfaces with Fourier Neural Operators A front-tracking method for the computations of interfacial flows with sharp interfaces

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:42:32.912428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8a340630-7e7c-4bab-a2e5-8883f48ba889 · outbound

This paper cites A volume-tracking method for incompressible multifluid flows with large density variations.

Predicting The Evolution of Interfaces with Fourier Neural Operators A volume-tracking method for incompressible multifluid flows with large density variations

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:42:32.891481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 62d8a35d-5f00-4ffd-8e4a-52307d6792ee · outbound

This paper cites Gerris: a tree-based adaptive solver for the incompressible euler equations.

Predicting The Evolution of Interfaces with Fourier Neural Operators Gerris: a tree-based adaptive solver for the incompressible euler equations

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:42:32.864299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f1c36425-ae72-466d-ba80-bc8f4037b6d9 · outbound

This paper cites A new volume-of-fluid method in openfoam.

Predicting The Evolution of Interfaces with Fourier Neural Operators A new volume-of-fluid method in openfoam

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:42:32.833694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4ef85bcd-1ab7-45e9-b73e-1e6baf42763b · outbound

This paper cites Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear pdes.

Predicting The Evolution of Interfaces with Fourier Neural Operators Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear pdes

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:42:32.791809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 27670695-f432-4ddd-8984-2a865d6c6169 · outbound

This paper cites Learning nonlinear operators via deeponet based on the universal approximation theorem.

Predicting The Evolution of Interfaces with Fourier Neural Operators Learning nonlinear operators via deeponet based on the universal approximation theorem

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:42:32.767773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 81deb765-6c40-4595-84f2-e6cf1e0b78c9 · outbound

This paper cites Neural operators for accelerating scientific simulations and design.

Predicting The Evolution of Interfaces with Fourier Neural Operators Neural operators for accelerating scientific simulations and design

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:42:32.723218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 08974060-d4dc-49c7-b02e-77eebd19aa0d · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

Predicting The Evolution of Interfaces with Fourier Neural Operators Fourier Neural Operator for Parametric Partial Differential Equations

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-16T00:42:31.818099Z

Source-reported events for the cited work

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Observation 5ccbec5f-a9ef-4cfb-a6ff-9a8a3e71afe1 · outbound

This paper cites FBMC Receiver Design and Analysis for Medium and Large Scale Antenna Systems.

Predicting The Evolution of Interfaces with Fourier Neural Operators FBMC Receiver Design and Analysis for Medium and Large Scale Antenna Systems

Reference 15

Resolution: metadata mismatch; local_arxiv, observed 2026-08-16T00:42:32.298608Z

Source-reported events for the cited work

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Observation fb4313ed-1dd2-4e6d-aa53-f7bdb532c69a · outbound

This paper cites Physics-based deep learning for fluid flow modeling.

Predicting The Evolution of Interfaces with Fourier Neural Operators Physics-based deep learning for fluid flow modeling

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:42:32.701007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 243d078d-d923-4002-9037-740fc1ce9326 · outbound

This paper cites FourCastNet: A Global Data-driven High-resolution Weather Model using Adaptive Fourier Neural Operators.

Predicting The Evolution of Interfaces with Fourier Neural Operators FourCastNet: A Global Data-driven High-resolution Weather Model using Adaptive Fourier Neural Operators

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-16T00:42:31.846863Z

Source-reported events for the cited work

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Observation 20cb6d5e-f5a0-444b-a8f7-fb9949e0c55c · outbound

This paper cites Message Passing Neural PDE Solvers.

Predicting The Evolution of Interfaces with Fourier Neural Operators Message Passing Neural PDE Solvers

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-16T00:42:31.855221Z

Source-reported events for the cited work

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Observation b77b4851-c069-4960-b272-ea6a2e770769 · outbound

This paper cites Turbulence modeling in the age of data.

Predicting The Evolution of Interfaces with Fourier Neural Operators Turbulence modeling in the age of data

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:42:32.673974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2dd44ad6-bcba-4100-a745-9b0348f12bdc · outbound

This paper cites Numerical models of surface tension.

Predicting The Evolution of Interfaces with Fourier Neural Operators Numerical models of surface tension

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:42:32.637379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6a1ad84e-fc54-4cf2-a720-ac43fc9e8ff7 · outbound

This paper cites Enhancing computational fluid dynamics with machine learning.

Predicting The Evolution of Interfaces with Fourier Neural Operators Enhancing computational fluid dynamics with machine learning

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:42:32.618001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0e95fd07-77b0-49c3-9104-44e489d973e9 · outbound

This paper cites Ai4s: Artificial intelligence for science.

Predicting The Evolution of Interfaces with Fourier Neural Operators Ai4s: Artificial intelligence for science

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:42:32.592211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 143cab5f-efdc-4145-866c-19b8043e8729 · outbound

This paper cites Federated singular value decomposition for high dimensional data.

Predicting The Evolution of Interfaces with Fourier Neural Operators Federated singular value decomposition for high dimensional data

Reference 23

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e5477c79-4cc0-40ad-a591-28c9fe09956b · outbound

This paper cites Validation of volume- of-fluid openfoam® isoadvector solvers using single bubble benchmarks.

Predicting The Evolution of Interfaces with Fourier Neural Operators Validation of volume- of-fluid openfoam® isoadvector solvers using single bubble benchmarks

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:42:32.567797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation bd35f27e-a7d9-4118-82a7-7a9b8c16fa52 · outbound

This paper cites Openfoam: A c++ library for complex physics simulations.

Predicting The Evolution of Interfaces with Fourier Neural Operators Openfoam: A c++ library for complex physics simulations

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:42:32.540342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b44c7b98-94c8-41e9-a3f6-5a4d7d39ec93 · outbound

This paper cites Accurate and efficient surface reconstruction from volume fraction data on general meshes.

Predicting The Evolution of Interfaces with Fourier Neural Operators Accurate and efficient surface reconstruction from volume fraction data on general meshes

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:42:32.509642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 40326a02-f23a-444f-8a80-f9e95ee38e7f · outbound

This paper cites A continuum method for modeling surface tension.

Predicting The Evolution of Interfaces with Fourier Neural Operators A continuum method for modeling surface tension

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:42:32.468887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f778cce7-10b8-423f-b8cd-9739fd2fcad6 · outbound

This paper cites Cummins, Marianne M.

Predicting The Evolution of Interfaces with Fourier Neural Operators Cummins, Marianne M

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:42:32.435797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5b3eb674-3d5e-42ce-9fbb-9221a5bab715 · outbound

This paper cites A computational study of thermally induced secondary atomization in multicomponent droplets.

Predicting The Evolution of Interfaces with Fourier Neural Operators A computational study of thermally induced secondary atomization in multicomponent droplets

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:42:32.396604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9eba83a9-6295-4418-85e2-98ddcb85771a · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Predicting The Evolution of Interfaces with Fourier Neural Operators Adam: A Method for Stochastic Optimization

Reference 30

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Source-reported events for the cited work

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Observation 882b2bb2-03f8-44e1-99b8-af261ff03ab2 · outbound

This paper cites Improved adam optimizer for deep neural networks.

Predicting The Evolution of Interfaces with Fourier Neural Operators Improved adam optimizer for deep neural networks

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:42:32.359003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

No inbound Pith citation observations are available.