Paper Citation Record · LEDGER

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators

As of 10 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2607.14394.

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

pith.paper-citation-record.v1
2607.14394 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T02:17:11.298542Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

40 of 40 outbound references displayed

verified exact12
verified fuzzy0
unresolved28
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 45037c94-c6cc-423f-978c-df46b14d5e62 · outbound

This paper cites Neural Operator: Learning Maps Between Function Spaces.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Neural Operator: Learning Maps Between Function Spaces

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:07.159977Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ae858a3-c2c8-4d54-b6db-05c5cca2102e · outbound

This paper cites Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators,.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators,

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:07.226796Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd14ec95-fbf7-4073-a349-5eaecada5df4 · outbound

This paper cites Learning the solution operator of parametric partial differential equations with physics-informed DeepOnets.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Learning the solution operator of parametric partial differential equations with physics-informed DeepOnets

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-02T02:18:29.621743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 154b20bc-f0fb-458e-a559-844c52ceef67 · outbound

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

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Fourier Neural Operator for Parametric Partial Differential Equations

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:07.466581Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c3758333-5f0e-4944-a5bb-413e8e69c2e9 · outbound

This paper cites Fourier neu- ral operators explained: A practical perspective,.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Fourier neu- ral operators explained: A practical perspective,

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:07.579389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6137b445-37b0-4c95-a688-89b514b22e0a · outbound

This paper cites Physics-Informed Neural Operator for Learning Partial Differential Equations.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Physics-Informed Neural Operator for Learning Partial Differential Equations

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:07.703412Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 713a9a80-964a-4ab9-9a37-a434839a6b37 · outbound

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

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators U-FNO—An enhanced Fourier neural operator-based deep-learning model for multiphase flow,

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:07.827090Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80bd43c4-2167-489a-8e67-cb7892ef261d · outbound

This paper cites Factorized Fourier Neural Operators.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Factorized Fourier Neural Operators

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:08.015229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 115cc809-449e-4d2d-b603-a69756e90885 · outbound

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

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Multi-Grid Tensorized Fourier Neural Operator for High-Resolution PDEs

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:08.131925Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 71a6caeb-4804-4df7-ba9c-86e6354f7358 · outbound

This paper cites Tucker-FNO: Tensor Tucker-Fourier neural operator and its universal approximation theory,.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Tucker-FNO: Tensor Tucker-Fourier neural operator and its universal approximation theory,

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:08.207668Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f242a08-ce5b-4343-ada6-b0644b7bd9fa · outbound

This paper cites D-FNO: A decomposed Fourier neural operator for large-scale parametric partial differential equations,.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators D-FNO: A decomposed Fourier neural operator for large-scale parametric partial differential equations,

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:08.284825Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99a64be6-b9fb-44fa-8da3-166dbd25bb37 · outbound

This paper cites Adaptive Fourier Neural Operators: Efficient Token Mixers for Transformers.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Adaptive Fourier Neural Operators: Efficient Token Mixers for Transformers

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:08.454983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf1c1ebc-8116-4ee1-b40f-d8e5daa5ddc4 · outbound

This paper cites FourCastNet: Acceler- ating global high-resolution weather forecasting using adaptive Fourier neural operators,.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators FourCastNet: Acceler- ating global high-resolution weather forecasting using adaptive Fourier neural operators,

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:08.597092Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 705fd370-b296-476f-9c60-63db6c7d8ec5 · outbound

This paper cites TurboFNO: High-Performance Fourier Neural Operator with Fused FFT-GEMM-iFFT on GPU.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators TurboFNO: High-Performance Fourier Neural Operator with Fused FFT-GEMM-iFFT on GPU

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-02T02:18:28.536451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a8a64064-44d2-4deb-9610-edbdc16b433d · outbound

This paper cites Model-parallel Fourier neural oper- ators as learned surrogates for large-scale parametric PDEs,.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Model-parallel Fourier neural oper- ators as learned surrogates for large-scale parametric PDEs,

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:08.871611Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8fae3b5-47b5-44b4-8378-a28eefe1a118 · outbound

This paper cites A Linear Algebraic Approach to Model Parallelism in Deep Learning.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators A Linear Algebraic Approach to Model Parallelism in Deep Learning

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-02T02:18:28.113788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation dd61c247-565a-41a3-bbe3-59a28657f374 · outbound

This paper cites On the communication complexity of 3D FFTs and its implications for exascale,.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators On the communication complexity of 3D FFTs and its implications for exascale,

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:08.991879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7acef625-38a4-405e-b9dd-be6b890628b7 · outbound

This paper cites Scalability issues in FFT computation,.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Scalability issues in FFT computation,

Reference 18

Resolution: verified exact; doi, observed 2026-08-02T02:18:27.906076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e3316be3-d872-46af-9517-fb1b1d99aec0 · outbound

This paper cites heFFTe: Highly efficient FFT for exascale,.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators heFFTe: Highly efficient FFT for exascale,

Reference 19

Resolution: verified exact; doi, observed 2026-08-02T02:18:27.450419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ecc6381a-4999-4334-9d07-1c35bf1fd922 · outbound

This paper cites Impacts of multi-GPU MPI collective communications on large FFT computation,.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Impacts of multi-GPU MPI collective communications on large FFT computation,

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:09.338418Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f6507bcb-4b7b-41cd-aa39-828c6847b72b · outbound

This paper cites Implementation of parallel FFT algorithms on distributed memory machines with a minimum overhead of communication,.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Implementation of parallel FFT algorithms on distributed memory machines with a minimum overhead of communication,

Reference 21

Resolution: verified exact; doi, observed 2026-08-02T02:18:27.183345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 50d02658-0ca7-41b2-bb2b-74b474d14d71 · outbound

This paper cites PFFT: An extension of FFTW to massively parallel archi- tectures,.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators PFFT: An extension of FFTW to massively parallel archi- tectures,

Reference 22

Resolution: verified exact; doi, observed 2026-08-02T02:18:26.610505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0e0f68e5-96a0-4f87-a1d8-e3f1e017fc04 · outbound

This paper cites 2DECOMP&FFT – A highly scalable 2D decom- position library and FFT interface,.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators 2DECOMP&FFT – A highly scalable 2D decom- position library and FFT interface,

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:09.594748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e71b837c-320a-426e-8964-2994cb74733e · outbound

This paper cites Low communication FMM-accelerated FFT on GPUs,.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Low communication FMM-accelerated FFT on GPUs,

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:09.667026Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eed27a6a-2a3a-4689-9e46-2232be0d629c · outbound

This paper cites DaggerFFT: A distributed FFT framework using task scheduling in Julia,.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators DaggerFFT: A distributed FFT framework using task scheduling in Julia,

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-08-02T02:18:26.122682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2366f5b3-7ff5-4d7b-a222-7f83450d5b84 · outbound

This paper cites Automatic generation of mappings for distributed Fourier operations,.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Automatic generation of mappings for distributed Fourier operations,

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:09.853856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e5fc7bd-c229-405f-8b63-219b0a7e447a · outbound

This paper cites Kumar, A.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Kumar, A

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:09.945758Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95d17ff0-f295-42bb-96e6-aeb0b6549f94 · outbound

This paper cites Toward performance models of MPI implementations for understanding application scaling issues,.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Toward performance models of MPI implementations for understanding application scaling issues,

Reference 28

Resolution: verified exact; doi, observed 2026-08-02T02:18:25.848145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ded9c08f-d384-4d1f-acf1-9db43ea1d051 · outbound

This paper cites Collective communication: Theory, practice, and experience,.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Collective communication: Theory, practice, and experience,

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:10.174505Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0f6c12e1-b21d-47d6-a4e8-782ba34a00c7 · outbound

This paper cites Performance analysis of MPI collective operations,.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Performance analysis of MPI collective operations,

Reference 30

Resolution: verified exact; doi, observed 2026-08-02T02:18:25.719445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c458ef1d-7a54-49dc-be5f-8ba48cffc1f5 · outbound

This paper cites An algorithm for the evaluation of finite trigonometric series,.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators An algorithm for the evaluation of finite trigonometric series,

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:10.486211Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84eda647-ebb6-4ae6-9dcb-8eb91ed68b24 · outbound

This paper cites The communication challenge for MPP: Intel Paragon and Meiko CS-2,.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators The communication challenge for MPP: Intel Paragon and Meiko CS-2,

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:10.679820Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1dac649e-c87a-4fff-936f-a4460f0f3996 · outbound

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

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators PDEBENCH: An Extensive Benchmark for Scientific Machine Learning

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:10.991634Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4be54b5c-fe0a-4aca-bb23-5cdbdb74fac8 · outbound

This paper cites The spectral element method: An efficient tool to simulate the seismic response of 2D and 3D geological structures,.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators The spectral element method: An efficient tool to simulate the seismic response of 2D and 3D geological structures,

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:11.154745Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65797635-5342-4200-b7d1-8d16645ee479 · outbound

This paper cites A fast spherical harmonics transform for global NWP and climate models,.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators A fast spherical harmonics transform for global NWP and climate models,

Reference 35

Resolution: verified exact; doi, observed 2026-08-02T02:18:25.123680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e4b1a740-e4e8-488b-9429-a3b2d81c9939 · outbound

This paper cites an unresolved cited work.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Unresolved cited work

Reference 1958

Resolution: verified exact; doi, observed 2026-08-02T02:18:25.321217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2861f025-596b-4986-aa08-223afb78536b · outbound

This paper cites an unresolved cited work.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Unresolved cited work

Reference 1994

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:10.834927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c5ea53d-4502-498c-8054-a3efe25d414a · outbound

This paper cites an unresolved cited work.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Unresolved cited work

Reference 2007

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:10.271725Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a5e0c80-300e-4b86-9ed3-a101dbda3c10 · outbound

This paper cites an unresolved cited work.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Unresolved cited work

Reference 2012

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:09.065289Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3bde103f-08e6-40a0-a81d-82a25365a0f0 · outbound

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

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators U-FNO -- An enhanced Fourier neural operator-based deep-learning model for multiphase flow

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:07.946065Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.