Paper Citation Record · LEDGER

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains

As of 18 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2504.15897.

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

pith.paper-citation-record.v1
2504.15897 v1

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:20:55.587449Z

measured 47 of 47 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

47 of 47 outbound references displayed

verified exact2
verified fuzzy20
unresolved24
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 439981b7-d0cb-448a-a4f2-d81d6c095a86 · outbound

This paper cites Layer Normalization.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Layer Normalization

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-16T11:20:55.350035Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a76f910e-4717-4f9d-b87e-d6bb59c515d3 · outbound

This paper cites A survey of projection-based model reduction methods for parametric dynamical systems.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains A survey of projection-based model reduction methods for parametric dynamical systems

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-16T11:20:55.356170Z

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Observation 87e670b7-1af6-4d40-906b-f7e57d389063 · outbound

This paper cites Model Reduction and Approximation.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Model Reduction and Approximation

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-16T11:20:55.361665Z

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Observation 57ddd16a-ffec-4479-8304-ac3999a72aa2 · outbound

This paper cites and Maday, Y.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains and Maday, Y

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:20:56.602378Z

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 ed84be20-8d18-4705-8cd2-5de55fb07982 · outbound

This paper cites Spherical fourier neural operators: Learning stable dynamics on the sphere.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Spherical fourier neural operators: Learning stable dynamics on the sphere

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:20:56.586913Z

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Observation 4c9b247e-94ae-455f-a000-2f994561e758 · outbound

This paper cites and Scott, R.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains and Scott, R

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-16T11:20:55.377503Z

Source-reported events for the cited work

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Observation 0794f175-a044-4623-8989-ab4e74f74519 · outbound

This paper cites Machine Learning for Fluid Mechanics.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Machine Learning for Fluid Mechanics

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T11:20:55.383738Z

Source-reported events for the cited work

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Observation d57c31c3-d817-4735-9262-f4298579a56d · outbound

This paper cites Choose a transformer: Fourier or galerkin.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Choose a transformer: Fourier or galerkin

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:20:56.569373Z

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 e3ae2aa0-c3e0-4946-aa3a-614862faf459 · outbound

This paper cites Gradient-based constrained optimization using a database of linear reduced-order models.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Gradient-based constrained optimization using a database of linear reduced-order models

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-16T11:20:55.393503Z

Source-reported events for the cited work

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Observation 68c9f1ec-e662-4a64-8fed-f38bb0c14b23 · outbound

This paper cites Fluid simulation using laplacian eigenfunctions.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Fluid simulation using laplacian eigenfunctions

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-16T11:20:55.398165Z

Source-reported events for the cited work

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Observation c4cd1971-b9a0-419a-8bb3-67f77d2a6b37 · outbound

This paper cites Partial Differential Equations.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Partial Differential Equations

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:20:56.551163Z

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 4fbdef62-c31a-43e5-8b2b-d9cb5df0ecdc · outbound

This paper cites and Trudinger, N.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains and Trudinger, N

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:20:56.534880Z

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 eb6fa11c-1928-4536-a7d1-c10fe066647f · outbound

This paper cites Gnot: A general neural operator transformer for operator learning.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Gnot: A general neural operator transformer for operator learning

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:20:56.518448Z

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 eb1ce69e-5cc8-4f2e-a2c7-9c6499a83f11 · outbound

This paper cites an unresolved cited work.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-16T11:20:55.416310Z

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Observation 1c2660b6-b1f0-43d8-a83d-f04213e088eb · outbound

This paper cites and Mitsume, N.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains and Mitsume, N

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:20:56.502668Z

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 8f12f30d-74a4-4563-97b6-3cac6ad29688 · outbound

This paper cites E., Kevrekidis, I.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains E., Kevrekidis, I

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:20:56.486064Z

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Observation f834e9f3-28b7-420a-859e-47e90a7e02cf · outbound

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

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Multi-Grid Tensorized Fourier Neural Operator for High-Resolution PDEs

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-16T11:20:55.438933Z

Source-reported events for the cited work

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Observation 5fa660d3-9b0c-4c84-b1f6-9ec90d39c067 · outbound

This paper cites Neural operator: Learning maps between function spaces with applications to pdes.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Neural operator: Learning maps between function spaces with applications to pdes

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-16T11:20:55.443979Z

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Observation 4eda61d4-b36f-4488-90b7-10cfcffeacfc · outbound

This paper cites and Zhang, H.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains and Zhang, H

Reference 19

Resolution: metadata mismatch; raw_fallback, observed 2026-08-16T11:20:55.980541Z

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 48f68de2-57ad-475e-9870-6f7a91c72f30 · outbound

This paper cites an unresolved cited work.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:20:56.458921Z

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Observation b9710b3c-9175-4b51-be88-443310bb2ee1 · outbound

This paper cites Scalable transformer for pde surrogate modeling.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Scalable transformer for pde surrogate modeling

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:20:56.442662Z

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 c558f876-b0a2-4c98-8768-33bf2dfba2b3 · outbound

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

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Fourier Neural Operator for Parametric Partial Differential Equations

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-16T11:20:55.464301Z

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Observation 5bb495e1-b414-4d5b-9c8d-91b75a6fd1de · outbound

This paper cites Z., Liu, B., and Anandkumar, A.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Z., Liu, B., and Anandkumar, A

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:20:56.425772Z

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 f1ad6c49-8096-4b98-a60e-b7a967e9bf94 · outbound

This paper cites Geometry-Informed Neural Operator for Large-Scale 3D PDEs.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Geometry-Informed Neural Operator for Large-Scale 3D PDEs

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-16T11:20:55.474625Z

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Observation 2c27759f-89b0-460c-9bad-5a7f71dce60d · outbound

This paper cites E., Michelis, M.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains E., Michelis, M

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:20:56.409772Z

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 116a5e25-d621-4d7b-8b28-f9f30f7408e3 · outbound

This paper cites and Hutter, F.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains and Hutter, F

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:20:56.394829Z

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 daca4482-539d-4dd8-962f-8c780a932218 · outbound

This paper cites an unresolved cited work.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:20:56.378710Z

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Observation ba8864bd-df8c-4407-8ab1-cf481ea21a91 · outbound

This paper cites A., George, R.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains A., George, R

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:20:56.363611Z

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 7c4f682c-6e2f-46ad-964e-81c7e35e1dcd · outbound

This paper cites Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations

Reference 29

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Observation 68e4e117-96f2-4a48-ac32-f04495fbba82 · outbound

This paper cites an unresolved cited work.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-16T11:20:55.504797Z

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Observation 6de97b17-d1a7-457a-89a2-fd76d132efc3 · outbound

This paper cites Challenges in training PINN s: A loss landscape perspective.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Challenges in training PINN s: A loss landscape perspective

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:20:56.336791Z

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 3c42c909-0077-4588-9b80-24b7e509c74f · outbound

This paper cites Efficient spectral methods for pdes with spectral fractional laplacian.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Efficient spectral methods for pdes with spectral fractional laplacian

Reference 32

Resolution: verified exact; doi, observed 2026-08-16T11:20:55.649079Z

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 78239498-48ef-4430-8567-de94775027c2 · outbound

This paper cites and Barbic, J.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains and Barbic, J

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-16T11:20:55.519150Z

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Observation 1e165b39-9536-4bc2-9aa3-c40f5db0f1e1 · outbound

This paper cites Turbulence and the dynamics of coherent structures.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Turbulence and the dynamics of coherent structures

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:20:56.320400Z

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 6d97f569-cf0a-43f4-be3c-4ffe2e59ce1e · outbound

This paper cites F., Bj rstad, P.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains F., Bj rstad, P

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:20:56.304142Z

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 5df2d377-1c73-4d2f-9b0c-c879adb7d747 · outbound

This paper cites an unresolved cited work.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-16T11:20:55.533769Z

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Observation d6a98eae-c26b-412b-8aa4-e94e131cfd70 · outbound

This paper cites and Shakarchi, R.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains and Shakarchi, R

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:20:56.276532Z

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 1d011611-348a-46a2-80d6-dec3b1a888ff · outbound

This paper cites an unresolved cited work.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:20:56.258457Z

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

Observation 12e19bcf-7c34-4cb6-a7d0-471c3e3cc1d7 · outbound

This paper cites Instance Normalization: The Missing Ingredient for Fast Stylization.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Instance Normalization: The Missing Ingredient for Fast Stylization

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-16T11:20:55.548596Z

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Unavailable: canonical work link unavailable.

Observation 0ff3d159-331b-4623-9518-07121981dc1b · outbound

This paper cites M., Parmar, N., Uszkoreit, J., Jones, L., Gomez, A.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains M., Parmar, N., Uszkoreit, J., Jones, L., Gomez, A

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-16T11:20:55.554119Z

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Unavailable: canonical work link unavailable.

Observation 00d41a2a-a60b-4d2d-92ba-9975dde05a88 · outbound

This paper cites BENO : Boundary-embedded neural operators for elliptic PDE s.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains BENO : Boundary-embedded neural operators for elliptic PDE s

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:20:56.231953Z

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 dd00b684-7b0d-447e-9fd7-dbb37dce55e3 · outbound

This paper cites and Wang, C.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains and Wang, C

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:20:56.215073Z

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 8fa874df-736c-4e40-a46b-e9b90f52bd09 · outbound

This paper cites an unresolved cited work.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-16T11:20:55.568364Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e958ee7-d348-4617-90bc-3cdfb8602432 · outbound

This paper cites B., Javed, M., Montanelli, H., and Trefethen, L.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains B., Javed, M., Montanelli, H., and Trefethen, L

Reference 44

Resolution: verified exact; doi, observed 2026-08-16T11:20:55.631936Z

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 8488c2c9-d71d-400e-be45-5b466c24f50f · outbound

This paper cites Transolver: A fast transformer solver for PDE s on general geometries.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Transolver: A fast transformer solver for PDE s on general geometries

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:20:56.198883Z

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 60f73612-51de-419c-a244-2c5714d210b1 · outbound

This paper cites Improved Operator Learning by Orthogonal Attention.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Improved Operator Learning by Orthogonal Attention

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-16T11:20:55.582600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 510deb16-6dc1-4592-b4b8-cbd799cc933a · outbound

This paper cites write newline.

SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains write newline

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-16T11:20:55.587449Z

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Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.