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Paper Citation Record · LEDGER

Choose a Transformer: Fourier or Galerkin

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 12 inbound Pith citation observations for arXiv:2105.14995.

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

pith.paper-citation-record.v1
2105.14995 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 12 of 12 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:31:11.946574Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T20:00:08.434326Z

Reference resolution

0 of 0 outbound references displayed

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  • verified fuzzy0
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  • malformed identifier0
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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 d6a56408-6ebb-4c2a-ac3b-9a80ca1451c3 · inbound

Predicting Change, Not States: An Alternate Framework for Neural PDE Surrogates cites this paper.

Predicting Change, Not States: An Alternate Framework for Neural PDE Surrogates Choose a Transformer: Fourier or Galerkin

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-11T13:31:11.946574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:31:11.946574Z digest=sha256:59cef2cbdbd5ba3589d27d24d4c4a101e7398e39b0c00a0299d0ac4c8e41f6dc

Observation 71d0dfcf-c255-4094-b266-ec7e5df39e42 · inbound

AE-ViT: Stable Long-Horizon Parametric Partial Differential Equations Modeling cites this paper.

AE-ViT: Stable Long-Horizon Parametric Partial Differential Equations Modeling Choose a Transformer: Fourier or Galerkin

Reference 29

Resolution
verified exact
arxiv_id, observed 2026-05-10T23:05:48.853411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-10T19:20:54.440143Z digest=sha256:53f12ce2e6ee36d9463273344d4353132e25f84d358b8f86b5a4de9dd106a071

Observation df961614-970c-4718-94a0-14c28def81c0 · inbound

HS-FNO: History-Space Fourier Neural Operator for Non-Markovian Partial Differential Equations cites this paper.

HS-FNO: History-Space Fourier Neural Operator for Non-Markovian Partial Differential Equations Choose a Transformer: Fourier or Galerkin

Reference 33

Resolution
verified exact
arxiv_id, observed 2026-05-12T07:16:30.479905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-12T03:30:13.422376Z digest=sha256:646a80207439729976c36daeed22db1c591d6b9d09627717136cad54e2973b5d

Observation 64acc293-6db6-4c84-b965-1c72ab4bf24e · inbound

HS-FNO: History-Space Fourier Neural Operator for Non-Markovian Partial Differential Equations cites this paper.

HS-FNO: History-Space Fourier Neural Operator for Non-Markovian Partial Differential Equations Choose a Transformer: Fourier or Galerkin

Reference 37

Resolution
verified exact
arxiv_id, observed 2026-05-13T07:12:28.199004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-13T07:09:24.112069Z digest=sha256:d222c6b284e654714a2148f9d421934a1fc6f7549d9b681a2aec11365872b999

Observation add7acb2-0fde-49e8-8ffe-51b86a0c33cd · 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 Choose a Transformer: Fourier or Galerkin

Reference 22

Resolution
verified exact
arxiv_id, observed 2026-06-29T23:54:03.200838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-06-29T23:53:30.631124Z digest=sha256:90db9de42a34f28b5d179c7503c7825a558746364af652fe96857ac292822700

Observation cf3e50dc-aa1c-481a-9d3c-d390e14766be · inbound

HAMNO: A Hierarchical Adaptive Multi-scale Neural Operator with Physics-Informed Learning for Dynamical Systems cites this paper.

HAMNO: A Hierarchical Adaptive Multi-scale Neural Operator with Physics-Informed Learning for Dynamical Systems Choose a Transformer: Fourier or Galerkin

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-07-03T10:17:57.356321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-06-27T10:11:45.429648Z digest=sha256:960bc41507481e1120a888e5de886464bebf61b115a41bad924332f6a069a5d9

Observation 1883b851-1951-4cd8-91db-b0ed877bab1d · inbound

Overlapping Schwarz Attention: Hierarchical Attention via Domain Decomposition cites this paper.

Overlapping Schwarz Attention: Hierarchical Attention via Domain Decomposition Choose a Transformer: Fourier or Galerkin

Reference 19

Resolution
verified exact
arxiv_id, observed 2026-07-03T21:08:58.733471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-06-27T00:49:49.637668Z digest=sha256:37af45a8aa7aea9a89f9972a9c560e62ac2fdafeeea68a53470c664cd48e3d94

Observation b69c0dd4-f3a1-4b51-b864-4be319f1e840 · inbound

Overlapping Schwarz Attention: Hierarchical Attention via Domain Decomposition cites this paper.

Overlapping Schwarz Attention: Hierarchical Attention via Domain Decomposition Choose a Transformer: Fourier or Galerkin

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-02T11:02:59.497469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T11:02:59.497469Z digest=sha256:cd838a96c16e29b36658889a0d32c1b6a1763370855ab21fe825ff96d4c3f23f

Observation 9cf443ed-2222-4a32-99a9-72fc73d69510 · inbound

VesNet: Neural network accelerated solver for simulating Stokesian vesicle suspensions cites this paper.

VesNet: Neural network accelerated solver for simulating Stokesian vesicle suspensions Choose a Transformer: Fourier or Galerkin

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-07-04T20:00:08.435989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-06-25T20:52:14.575101Z digest=sha256:6eae0d528843f220bb49105cad57d43fd1c8ab683c6f94e05e0c23a039b1315f

Observation feaebdf0-189b-4f05-a14e-e93b1718a4b1 · inbound

No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study cites this paper.

No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study Choose a Transformer: Fourier or Galerkin

Reference 26

Resolution
unresolved
no resolver link, observed 2026-07-30T16:23:26.465102Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T16:23:26.465102Z digest=sha256:4660788e8b039ca8d29698ebaac0663f0891dcf7a76c7cee292e4b90ac27b1b3

Observation df144a81-9840-4771-a91d-c86baf8bb460 · inbound

Intrinsic and Triangulation-Agnostic Attention: A Simple and Powerful Approach for Learning on Meshes cites this paper.

Intrinsic and Triangulation-Agnostic Attention: A Simple and Powerful Approach for Learning on Meshes Choose a Transformer: Fourier or Galerkin

Reference 13

Resolution
unresolved
no resolver link, observed 2026-07-31T05:06:54.915952Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T05:06:54.915952Z digest=sha256:51cc0b560a2852a95f6cf090d59b5cd5edc474843b860ff2ad0051db19d14311

Observation e44a8807-e6a5-4bd8-a5ab-8ffef2717143 · inbound

Hybrid Lagrangian-Eulerian Model for Lagrangian Fluid Simulation cites this paper.

Hybrid Lagrangian-Eulerian Model for Lagrangian Fluid Simulation Choose a Transformer: Fourier or Galerkin

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-06T00:30:47.094934Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T00:30:47.094934Z digest=sha256:af322e15c391148cb776a0c6ac9606361af8ba77fc2a46605d1e97c01baa7318