Paper Citation Record · LEDGER

Modeling turbulent and self-gravitating fluids with Fourier neural operators

As of 19 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2507.23662.

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

pith.paper-citation-record.v1
2507.23662 v1

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T10:46:05.071493Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

48 of 48 outbound references displayed

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verified fuzzy1
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External citation measurements

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Outbound references

Observation e28c1d9e-8970-4a42-bd4a-bc99e747fda3 · outbound

This paper cites merlin.mbs aapmrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

Modeling turbulent and self-gravitating fluids with Fourier neural operators merlin.mbs aapmrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:04.818315Z

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Observation 00306e95-ece9-4305-b47b-d4bae710aaaa · outbound

This paper cites merlin.mbs aipauth4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

Modeling turbulent and self-gravitating fluids with Fourier neural operators merlin.mbs aipauth4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:04.825674Z

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Observation 02cfe36e-079f-4f4b-ba45-2f624e84aff6 · outbound

This paper cites merlin.mbs aipnum4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

Modeling turbulent and self-gravitating fluids with Fourier neural operators merlin.mbs aipnum4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:04.833111Z

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Observation 9f14509b-54bf-43b4-9b99-82cfae6a3f6d · outbound

This paper cites merlin.mbs apsrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked.

Modeling turbulent and self-gravitating fluids with Fourier neural operators merlin.mbs apsrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:04.839076Z

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Observation bbb9173e-26ba-45c9-b19e-e042acc37f2b · outbound

This paper cites Chen \ and\ author H.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Chen \ and\ author H

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:04.845866Z

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Observation 538c3da9-25f7-4e6a-a16d-a501f480d71c · outbound

This paper cites Lu , author P.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Lu , author P

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:04.850671Z

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Observation 07243c23-3028-46b5-81ed-9aad68b842c8 · outbound

This paper cites Kovachki , author Z.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Kovachki , author Z

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:46:05.949415Z

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Observation c90d74f9-2958-4050-b514-995ac4d16616 · outbound

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

Modeling turbulent and self-gravitating fluids with Fourier neural operators Fourier Neural Operator for Parametric Partial Differential Equations

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:04.860145Z

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Observation 9f2a30a2-7b5e-45eb-960c-65bc5997416a · outbound

This paper cites Derivative-Informed Neural Operator: An Efficient Framework for High-Dimensional Parametric Derivative Learning.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Derivative-Informed Neural Operator: An Efficient Framework for High-Dimensional Parametric Derivative Learning

Reference 9

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b8d63dab-d4b0-4aa2-bca7-8798b95edcbb · outbound

This paper cites PDEBENCH: An Extensive Benchmark for Scientific Machine Learning.

Modeling turbulent and self-gravitating fluids with Fourier neural operators PDEBENCH: An Extensive Benchmark for Scientific Machine Learning

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:04.871043Z

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Observation 31abaafa-2aa3-40bf-b902-34a0d3e23087 · outbound

This paper cites Model Reduction and Neural Networks for Parametric PDEs.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Model Reduction and Neural Networks for Parametric PDEs

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:04.878904Z

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Observation 37a737cc-6d08-4c84-babb-fdb2a550dfef · outbound

This paper cites The Cost-Accuracy Trade-Off In Operator Learning With Neural Networks.

Modeling turbulent and self-gravitating fluids with Fourier neural operators The Cost-Accuracy Trade-Off In Operator Learning With Neural Networks

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:04.883768Z

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Observation 77f58ecf-3251-40ff-bc90-361ea159008a · outbound

This paper cites Learning Dissipative Dynamics in Chaotic Systems.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Learning Dissipative Dynamics in Chaotic Systems

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:04.894042Z

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Observation 84c913b6-1e5a-41fc-97a0-9bbf9116002b · outbound

This paper cites Fourier Neural Operator for Plasma Modelling.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Fourier Neural Operator for Plasma Modelling

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:04.898850Z

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Observation 786a1c98-d93f-4b9d-986e-fb7a14c6b991 · outbound

This paper cites Plasma Surrogate Modelling using Fourier Neural Operators.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Plasma Surrogate Modelling using Fourier Neural Operators

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:04.904030Z

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Observation 39c68297-a80c-41f9-a9c9-2ffcff62f2f5 · outbound

This paper cites an unresolved cited work.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:04.909429Z

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Observation bcc79742-18d0-4197-afff-3d6b1eb7ba9b · outbound

This paper cites U-FNO -- An enhanced Fourier neural operator-based deep-learning model for multiphase flow.

Modeling turbulent and self-gravitating fluids with Fourier neural operators U-FNO -- An enhanced Fourier neural operator-based deep-learning model for multiphase flow

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:04.915849Z

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Observation 07591032-e8e0-4cb1-98c2-2c1425984a0f · outbound

This paper cites Spherical Fourier Neural Operators: Learning Stable Dynamics on the Sphere.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Spherical Fourier Neural Operators: Learning Stable Dynamics on the Sphere

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:04.920938Z

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Observation f7901a0c-1040-4c85-9d84-5df30988107c · outbound

This paper cites Clifford Neural Layers for PDE Modeling.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Clifford Neural Layers for PDE Modeling

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:04.925998Z

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Observation 84a7481c-033e-42bd-8291-d7c4ef6316a7 · outbound

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

Modeling turbulent and self-gravitating fluids with Fourier neural operators FourCastNet: A Global Data-driven High-resolution Weather Model using Adaptive Fourier Neural Operators

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:04.930786Z

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Observation fdb62338-a8e0-4850-89a2-4954e669f2cb · outbound

This paper cites LESnets (Large-Eddy Simulation nets): Physics-informed neural operator for large-eddy simulation of turbulence.

Modeling turbulent and self-gravitating fluids with Fourier neural operators LESnets (Large-Eddy Simulation nets): Physics-informed neural operator for large-eddy simulation of turbulence

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-06T10:46:05.672175Z

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Observation c7d0485d-8b40-4a63-953c-c69017122c91 · outbound

This paper cites Coarse Graining with Neural Operators for Simulating Chaotic Systems.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Coarse Graining with Neural Operators for Simulating Chaotic Systems

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:04.940120Z

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Observation bb874153-65b5-49ab-b2f3-d5097d445493 · outbound

This paper cites Generative AI for fast and accurate statistical computation of fluids.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Generative AI for fast and accurate statistical computation of fluids

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:04.944814Z

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Observation f9b47242-a523-4e6e-9b40-7461161d75ce · outbound

This paper cites Malicious User Experience Design Research for Cybersecurity.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Malicious User Experience Design Research for Cybersecurity

Reference 25

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Observation 2a346e9e-3967-471d-83b2-68fe3c0fc003 · outbound

This paper cites an unresolved cited work.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:04.954047Z

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Observation 76bba432-2834-4d75-92f4-2f35dcb13f69 · outbound

This paper cites Magnetized compressible turbulence with a fluctuation dynamo and Reynolds numbers over a million.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Magnetized compressible turbulence with a fluctuation dynamo and Reynolds numbers over a million

Reference 27

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Observation 8a5a8f48-beff-4a42-978b-8b8078ec1d67 · outbound

This paper cites an unresolved cited work.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Unresolved cited work

Reference 28

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Modeling turbulent and self-gravitating fluids with Fourier neural operators Unresolved cited work

Reference 29

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Observation 46d6f942-f2ea-4495-8c0e-398372b0b485 · outbound

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Modeling turbulent and self-gravitating fluids with Fourier neural operators Unresolved cited work

Reference 30

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Observation aece3c56-2135-4fa1-b5eb-a9cb9366a16b · outbound

This paper cites The Athena++ Adaptive Mesh Refinement Framework: Design and Magnetohydrodynamic Solvers.

Modeling turbulent and self-gravitating fluids with Fourier neural operators The Athena++ Adaptive Mesh Refinement Framework: Design and Magnetohydrodynamic Solvers

Reference 31

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This paper cites Fryxell , author K.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Fryxell , author K

Reference 32

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Modeling turbulent and self-gravitating fluids with Fourier neural operators Unresolved cited work

Reference 33

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Modeling turbulent and self-gravitating fluids with Fourier neural operators Unresolved cited work

Reference 34

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Modeling turbulent and self-gravitating fluids with Fourier neural operators Unresolved cited work

Reference 35

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Modeling turbulent and self-gravitating fluids with Fourier neural operators Xu , author S

Reference 36

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Modeling turbulent and self-gravitating fluids with Fourier neural operators Xu , author S

Reference 37

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Observation 3745fd9c-a919-4daf-983e-11e44e7f2000 · outbound

This paper cites Predicting the Radiation Field of Molecular Clouds using Denoising Diffusion Probabilistic Models.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Predicting the Radiation Field of Molecular Clouds using Denoising Diffusion Probabilistic Models

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-06T10:46:05.456154Z

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Observation 6fe6ea7e-da3a-4611-b585-d534f86cb48b · outbound

This paper cites Xu , author C.-Y.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Xu , author C.-Y

Reference 39

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This paper cites Xu , author J.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Xu , author J

Reference 40

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Observation 68ddae69-69d8-464d-be36-61f9488a4b58 · outbound

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Modeling turbulent and self-gravitating fluids with Fourier neural operators Hersbach , author B

Reference 41

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Observation 4bd73c4b-8361-46a1-ba32-d9b96ad1737c · outbound

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Modeling turbulent and self-gravitating fluids with Fourier neural operators Unresolved cited work

Reference 42

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Observation b266b956-1b09-402a-b5af-0f405b00a02e · outbound

This paper cites an unresolved cited work.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:05.041473Z

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Observation 65d70f29-662c-452a-9059-7c1ba989bd27 · outbound

This paper cites Multi-Grid Tensorized Fourier Neural Operator for High-Resolution PDEs.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Multi-Grid Tensorized Fourier Neural Operator for High-Resolution PDEs

Reference 44

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Observation a6bcf117-1daf-4eea-a34e-ee42d37f9169 · outbound

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Modeling turbulent and self-gravitating fluids with Fourier neural operators U-NO: U-shaped Neural Operators

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:05.050938Z

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Observation 20b1bbe2-fe5c-4a6c-8242-32ec53671f72 · outbound

This paper cites Guaranteed Approximation Bounds for Mixed-Precision Neural Operators.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Guaranteed Approximation Bounds for Mixed-Precision Neural Operators

Reference 46

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Observation f4030bcc-45b2-4801-8404-3db6dbc508bf · outbound

This paper cites Neural Operators with Localized Integral and Differential Kernels.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Neural Operators with Localized Integral and Differential Kernels

Reference 47

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Observation 6fe06a07-c2cd-4001-831c-6976ca52607d · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Modeling turbulent and self-gravitating fluids with Fourier neural operators Adam: A Method for Stochastic Optimization

Reference 48

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Observation 45d360fb-593b-4228-aa89-c17047495093 · outbound

This paper cites SGDR: Stochastic Gradient Descent with Warm Restarts.

Modeling turbulent and self-gravitating fluids with Fourier neural operators SGDR: Stochastic Gradient Descent with Warm Restarts

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-06T10:46:05.071493Z

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