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Paper Citation Record · LEDGER

U-FNO -- An enhanced Fourier neural operator-based deep-learning model for multiphase flow

As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2109.03697.

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

pith.paper-citation-record.v1
2109.03697 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T12:48:20.850619Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T23:54:03.215770Z

Reference resolution

0 of 0 outbound references displayed

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  • verified fuzzy0
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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 473076f8-2767-4f04-8eee-26d384ddbe60 · inbound

U-WNO:U-Net-enhanced Wavelet Neural Operator for fetal head segmentation cites this paper.

U-WNO:U-Net-enhanced Wavelet Neural Operator for fetal head segmentation U-FNO -- An enhanced Fourier neural operator-based deep-learning model for multiphase flow

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-12T12:48:20.850619Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T12:48:20.850619Z digest=sha256:37406ac0841cbef06853697e41e3d9e1dab5041e6a90c839922c371636b745af

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

Modeling turbulent and self-gravitating fluids with Fourier neural operators cites this paper.

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T10:46:04.915849Z digest=sha256:41ba9b3cf69b0d35135252b941782bb23add24adf9b777a439963552d0336df5

Observation 70f0e934-c545-4231-bd1b-f711dc4e241f · inbound

Hybrid Fourier Neural Operator-Lattice Boltzmann Method cites this paper.

Hybrid Fourier Neural Operator-Lattice Boltzmann Method U-FNO -- An enhanced Fourier neural operator-based deep-learning model for multiphase flow

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-05-12T10:01:29.195366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-07T08:13:46.567661Z digest=sha256:c90065cd96bae29ad0fb4b998e04c808dec7aced74f9744d02daca833a5dedc8

Observation ada86a5e-43f2-4ec6-8a49-5405bc45e67c · inbound

Don't Fix the Basis -- Learn It: Spectral Representation with Adaptive Basis Learning for PDEs cites this paper.

Don't Fix the Basis -- Learn It: Spectral Representation with Adaptive Basis Learning for PDEs U-FNO -- An enhanced Fourier neural operator-based deep-learning model for multiphase flow

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-05-12T06:16:27.728951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-12T04:26:28.481470Z digest=sha256:0e6983279d16b92ced8295d6559bf794b2d1242c37593b2d4d3e72fe501e8e49

Observation 55562982-1c32-4959-b211-335e99b335ec · inbound

IV-Net: A neural network for elliptic PDEs with random and highly varying coefficients cites this paper.

IV-Net: A neural network for elliptic PDEs with random and highly varying coefficients U-FNO -- An enhanced Fourier neural operator-based deep-learning model for multiphase flow

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-06-29T23:54:03.217203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-06-29T23:53:30.631124Z digest=sha256:491a80a265bd4ee0e9328aa9c7a843abb859ac41d040e8c9a5e9abcfecdbcf50

Observation 4343f9c8-74bd-4ba8-a181-1fcd4c6edda8 · inbound

CoFINN: Conservation Flux Informed Neural Networks for Physics Problems Governed by Conservation Laws cites this paper.

CoFINN: Conservation Flux Informed Neural Networks for Physics Problems Governed by Conservation Laws U-FNO -- An enhanced Fourier neural operator-based deep-learning model for multiphase flow

Reference 28

Resolution
unresolved
no resolver link, observed 2026-07-11T19:51:56.544026Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T19:51:56.544026Z digest=sha256:44bbd01d0f00851a145c1d92290329fb79897da79649e78b3f7f33dd491d37f6

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

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators cites this paper.

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.

source=pdf_text observed=2026-08-02T02:17:07.946065Z digest=sha256:ee749d86ec11fddaed1adbcfc27d8568649ace8e747291e1bed7763f6a3f216d