Paper Citation Record · LEDGER

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems

As of 14 August 2026, this Paper Citation Record lists 98 of 98 outbound references and 2 inbound Pith citation observations for arXiv:2412.09009.

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

pith.paper-citation-record.v1
2412.09009 v4

Coverage vector

measured 98 of 98 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T17:28:16.512378Z

measured 100 of 100 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-18T16:03:36.833056Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

98 of 98 outbound references displayed

verified exact5
verified fuzzy31
unresolved62
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 2846b1c3-76fe-49ab-8005-ff1c095cb1fb · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:15.902164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea8a50f0-8841-4771-a321-77ef7cd23936 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:15.907002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f99f0457-ec97-4c85-a0bf-85b44efbe4f5 · outbound

This paper cites Richter, L.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Richter, L

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:15.911396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d7c53d8-5dc7-414c-9c45-ae8cbc767fd7 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:15.915942Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3db55e67-f03f-4159-a341-8096083f3969 · outbound

This paper cites Neural Operator: Graph Kernel Network for Partial Differential Equations.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Neural Operator: Graph Kernel Network for Partial Differential Equations

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:15.920873Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0fe81e1e-91f3-44c9-b65d-5ef7a9f49a96 · outbound

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

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Fourier Neural Operator for Parametric Partial Differential Equations

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:15.925450Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ab29fa6b-a33e-4324-8174-03162606f5e4 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:15.930338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5d53278-6c48-466a-9dc5-569e13bdcb19 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:15.934794Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c913185-5ec7-43d5-a977-b8d43e528624 · outbound

This paper cites Kovachki, Z.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Kovachki, Z

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:15.938971Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b3c6076-a9ca-4e4b-8543-70d074c3e860 · outbound

This paper cites Raissi, P.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Raissi, P

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:15.943480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db6ce090-ae74-4fad-9d93-ef44ed12bfc3 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:15.949298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 618b3917-c527-4311-8f01-8a201d89f906 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:15.953599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 52f2c0f4-3f2a-4cc5-af09-b7113348b2e4 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:15.957951Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2acfb932-1624-4881-bb17-0ac2ed8a8aa5 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:15.961926Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eec83263-3bb8-4782-b30e-ef33a5703e9f · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:15.965913Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5ce22a1-6381-4e05-b33f-dc5f5f928839 · outbound

This paper cites Yamazaki, A.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Yamazaki, A

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:15.969963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29443a73-89f9-461f-85ad-5e1ccebfd556 · outbound

This paper cites Kaewnuratchadasorn, J.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Kaewnuratchadasorn, J

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:15.974063Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8abbf4c9-b3ed-410c-9e69-a9cdb08f9509 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:15.977926Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c55bbbe-6100-4860-a8bd-d0793c6c744b · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:15.982023Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83823022-c4c1-4c66-ad6f-99c920ad4dea · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:15.986928Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 461a9a13-5e72-4501-8878-ba71bdff5387 · outbound

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

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems FourCastNet: A Global Data-driven High-resolution Weather Model using Adaptive Fourier Neural Operators

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:15.991654Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3baf853a-3f21-4fce-a4fd-fa2d9a4f7364 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:15.996852Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f8c0607-d747-4df8-add5-40e324e600c9 · outbound

This paper cites Bonev, T.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Bonev, T

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.672379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b29c8e9f-dc2f-4d23-af4e-d77177c9832c · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:16.005761Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b292290-1a3a-49fa-be28-d39c01259ad5 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:16.011150Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4d65ee87-e03f-42a7-b864-87ed01b31a13 · outbound

This paper cites Incremental Spatial and Spectral Learning of Neural Operators for Solving Large-Scale PDEs.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Incremental Spatial and Spectral Learning of Neural Operators for Solving Large-Scale PDEs

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:16.015621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 899a849b-9d87-4602-8e0e-f4cd64a5c517 · outbound

This paper cites Kovachki, S.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Kovachki, S

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:16.020258Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78b53fcd-2fef-48d7-9bd2-565004c5cc56 · outbound

This paper cites Kovachki, Z.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Kovachki, Z

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.638124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0abb67af-8403-4666-a7bb-eb3a8f40a4a1 · outbound

This paper cites Lehmann, F.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Lehmann, F

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.625370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b606919c-b013-43c3-81d7-fed0b22fb265 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:16.033479Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5bc7eedc-18e8-4018-9236-9fe10ebada1d · outbound

This paper cites Lanthaler, S.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Lanthaler, S

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.605548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 424d86f6-055c-4b78-bf3e-71c9cfeba430 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:16.044038Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b53ae939-02de-4a47-8ac5-9372b81b7077 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:28:17.585079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b6101b33-a56b-4f9f-81bc-cef5e0c28a44 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:28:17.572801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation abe8a0e6-e758-4231-8f76-508e70c150ef · outbound

This paper cites Goswami, M.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Goswami, M

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:16.058016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99328831-3f02-4533-bd42-1324f57a6c62 · outbound

This paper cites Goswami, A.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Goswami, A

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.552200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5d14ad8b-ac1b-4727-8d66-e5d5bd5d9581 · outbound

This paper cites Goswami, A.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Goswami, A

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.539469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 45e646f4-da61-4134-b202-6348b0b7a16a · outbound

This paper cites Haghighat, U.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Haghighat, U

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.527035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 42f02882-c3b9-407b-9399-7b92817258ea · outbound

This paper cites Kobayashi, J.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Kobayashi, J

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.514876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6e35a694-d260-424a-802e-4982d8481345 · outbound

This paper cites Zhang, S.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Zhang, S

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.502590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 61b60a0c-f41e-4b6a-bc97-fa3a5f96e941 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 41

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e216f91e-2dc6-4945-940e-f49d49b0629d · outbound

This paper cites Koric, D.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Koric, D

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.482833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e21b4ca2-f180-49d3-b306-6b123cc1fc95 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:16.099573Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aba78dd3-3f0f-4652-a12c-5a4fa4f078d0 · outbound

This paper cites Raonic, R.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Raonic, R

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.462388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 14207dae-3a9f-4bee-85a1-acba1443101c · outbound

This paper cites CoNO: Complex Neural Operator for Continuous Dynamical Systems.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems CoNO: Complex Neural Operator for Continuous Dynamical Systems

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:16.111505Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8064e63e-1e53-4ca9-9e5d-03f23815de07 · outbound

This paper cites Gupta, X.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Gupta, X

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.449763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 585edb67-5078-492a-bdbe-280846afe10f · outbound

This paper cites Tripura, S.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Tripura, S

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.436968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d21e2924-b183-455c-8917-19e9049209ca · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 48

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:28:17.422269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 35cdebac-57bb-46cc-ad90-66767673c3f4 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 49

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:28:17.408517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7904faed-2d6e-491b-9adc-d77b0343af31 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 50

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:28:17.393055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 773f1266-a7f0-4f4c-98e5-11f6b5894cc3 · outbound

This paper cites Peyvan, V.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Peyvan, V

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.376896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 11200a80-2864-426d-a7c0-adb5e8d76c2b · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 52

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:28:17.363446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 05c89ae0-d043-4896-9dc3-e636f3859556 · outbound

This paper cites Diffeomorphism Neural Operator for various domains and parameters of partial differential equations.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Diffeomorphism Neural Operator for various domains and parameters of partial differential equations

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:16.146712Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22407612-addf-4b39-ae9e-d89363e963f2 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:16.150845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 06e8f914-4c9f-49db-8d65-0f6574ebfb29 · outbound

This paper cites Rafiq, G.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Rafiq, G

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.341597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 31389cfb-a52b-4556-9474-bdb5382e256f · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 56

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:28:17.328907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0e750d3d-8735-4a1b-8e6e-4cc593dc033f · outbound

This paper cites Transformer for Partial Differential Equations' Operator Learning.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Transformer for Partial Differential Equations' Operator Learning

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:16.162837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0f13a2ef-ea12-4abb-887b-8f83009b0375 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 58

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:28:17.315639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation afb1399b-a617-4e9b-9c39-3804887cec87 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 59

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:28:17.301165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 78909d05-d2d6-422e-aea3-435161c81f15 · outbound

This paper cites Jafarzadeh, S.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Jafarzadeh, S

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.284970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0457bf35-49b6-4fb1-b5ce-ace580b198f4 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:16.183036Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f67dd6f-9fa2-48be-b89f-3e366abd3cda · outbound

This paper cites Adjoint-Matching Neural Network Surrogates for Fast 4D-Var Data Assimilation.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Adjoint-Matching Neural Network Surrogates for Fast 4D-Var Data Assimilation

Reference 62

Resolution: verified exact; local_arxiv, observed 2026-08-11T17:28:16.808569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d3e3e237-38d2-4d97-9d78-3f257a89ee09 · outbound

This paper cites Arcucci, L.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Arcucci, L

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.255599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7cc3bc6b-04fb-4471-aeaa-8fc470fb4cf1 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 64

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:28:17.242451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2874bcf6-3a6d-4d63-939d-d718e8d9bd80 · outbound

This paper cites Fablet, B.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Fablet, B

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.229941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 78e82133-6caf-4c9f-a397-d028e7628bbf · outbound

This paper cites Chowdhury, R.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Chowdhury, R

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.217473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f5502031-9aa0-40ad-94c6-a3f327058757 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:16.209635Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77ee755c-aeef-41f3-82e7-478df25c05f8 · outbound

This paper cites Mittal, K.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Mittal, K

Reference 68

Resolution: verified exact; doi, observed 2026-08-11T17:28:16.586849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 00d27e82-c2ac-40d6-a347-dd032a605228 · outbound

This paper cites Breton, J.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Breton, J

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:16.218472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6561bae-906a-4fbc-a420-74beb71f8eff · outbound

This paper cites Gafoor CTP, S.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Gafoor CTP, S

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.204583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b3843b38-385d-4d5c-8003-013fd4275eda · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:16.227194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 483b4b44-ae7b-4671-a493-c567268f02e6 · outbound

This paper cites Separable DeepONet: Breaking the Curse of Dimensionality in Physics-Informed Machine Learning.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Separable DeepONet: Breaking the Curse of Dimensionality in Physics-Informed Machine Learning

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:16.231596Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a45ce9a4-eb2c-4fdd-a0ad-293bfd01d5d1 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 73

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:28:17.183604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7543df82-8788-4acc-b6d5-775039cc34bf · outbound

This paper cites Cao, Choose a transformer: Fourier or galerkin, in: M.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Cao, Choose a transformer: Fourier or galerkin, in: M

Reference 74

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.170531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 52062d3d-ac8c-4525-a597-6ea6806ec6d2 · outbound

This paper cites A Spectral-based Physics-informed Finite Operator Learning for Prediction of Mechanical Behavior of Microstructures.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems A Spectral-based Physics-informed Finite Operator Learning for Prediction of Mechanical Behavior of Microstructures

Reference 75

Resolution: verified exact; local_arxiv, observed 2026-08-11T17:28:16.670654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8f8afce6-6865-4c9f-a35e-8fcfe1ab3934 · outbound

This paper cites Navaneeth, S.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Navaneeth, S

Reference 76

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.158577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d951b095-61c9-44fc-833f-5650193dd420 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 77

Resolution: verified exact; doi, observed 2026-08-11T17:28:16.567085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 406736d8-4343-42ac-b631-fd71e1d5531c · outbound

This paper cites Takamoto, T.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Takamoto, T

Reference 78

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.146407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ca6d54ee-50f3-48de-b1a4-36af8321f55c · outbound

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

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Neural Operator: Learning Maps Between Function Spaces

Reference 79

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:16.265450Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec5c6008-d6b4-4c00-bf4d-c8c658c6ec66 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 80

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:16.270068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 331cf39e-895b-49c1-8e24-c5becf320d74 · outbound

This paper cites Taylor, Lxxv.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Taylor, Lxxv

Reference 81

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.133234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e4bda200-a9f7-48a9-8d87-e3bddd830e2c · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 82

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:28:17.121094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c52415d7-a352-4478-b8d8-cf3f7c10f97d · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 83

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:28:17.109268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation cf66e0c0-1e5f-4111-b6f5-8eb22315cd49 · outbound

This paper cites Rishi, A.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Rishi, A

Reference 84

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.096184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 56e93da2-9c8c-4f46-954e-68dadb1230bf · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 85

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:28:17.082359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation eaf1dbed-0971-44f1-9cb2-535046c341e3 · outbound

This paper cites An efficient hp-Variational PINNs framework for incompressible Navier-Stokes equations.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems An efficient hp-Variational PINNs framework for incompressible Navier-Stokes equations

Reference 86

Resolution: verified exact; local_arxiv, observed 2026-08-11T17:28:16.636682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1a72e118-6109-438f-8313-7dea2e4a1027 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 87

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:16.313195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6a4998ef-4e4f-4c87-bdeb-e943f523d288 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 88

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:28:17.057661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 790c36fc-b9f7-48c3-b290-e737355be421 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 89

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:28:17.045183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7fb0da2d-ab8a-4437-82ec-d5ea9c33897a · outbound

This paper cites Maddu, D.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Maddu, D

Reference 90

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.032618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 18cbafd1-42f4-434b-ae97-e8da152908bb · outbound

This paper cites Deguchi, M.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Deguchi, M

Reference 91

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:17.018683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation cc3e5ad0-b92d-430f-b1cb-e579f0f9d439 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 92

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:28:17.005568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ccd85234-9809-40a6-ab90-afd8b49e1d19 · outbound

This paper cites Moseley, A.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Moseley, A

Reference 93

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:16.991199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 64235e3b-13fa-44e3-b4be-30597f494270 · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 94

Resolution: unresolved; no resolver link, observed 2026-08-11T17:28:16.496964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 112a3bf3-e255-4001-80fb-3ce2e2b00e15 · outbound

This paper cites Bergstra, R.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Bergstra, R

Reference 95

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:16.969867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d19fdc58-3cb0-4377-9c25-902f4f699028 · outbound

This paper cites Escapil-Inchauspé, G.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Escapil-Inchauspé, G

Reference 96

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:16.956867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e8467f22-c4f7-4cc9-b829-62fc808aaad6 · outbound

This paper cites Kaplarevi ´c-Mališi´c, B.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Kaplarevi ´c-Mališi´c, B

Reference 97

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:28:16.942603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 60f143a5-c1cf-4f7b-b2bd-d4bc403337cd · outbound

This paper cites an unresolved cited work.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Unresolved cited work

Reference 98

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:28:16.928986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

Observation 8ef98634-2290-4f68-9503-d00464511be1 · inbound

FEDONet : Fourier-Embedded DeepONet for Spectrally Accurate Operator Learning cites this paper.

FEDONet : Fourier-Embedded DeepONet for Spectrally Accurate Operator Learning A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems

Reference 45

Resolution: verified exact; arxiv_id, observed 2026-05-18T16:06:35.134553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f85df9c5-2a95-4d58-a291-31af413db0e9 · inbound

Droplet-LNO: Physics-Informed Laplace Neural Operators for Accurate Prediction of Droplet Spreading Dynamics on Complex Surfaces cites this paper.

Droplet-LNO: Physics-Informed Laplace Neural Operators for Accurate Prediction of Droplet Spreading Dynamics on Complex Surfaces A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems

Reference 40

Resolution: verified exact; arxiv_id, observed 2026-05-10T01:10:08.424068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.