Paper Citation Record · LEDGER

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations

As of 9 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2507.03272.

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

pith.paper-citation-record.v1
2507.03272 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:18:51.054789Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

45 of 45 outbound references displayed

verified exact6
verified fuzzy12
unresolved21
parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fb65415b-9bf6-4f44-95da-5a624720d1f2 · outbound

This paper cites Kiranyaz, J.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Kiranyaz, J

Reference 1

Resolution: verified exact; doi, observed 2026-08-06T20:18:52.692604Z

Source-reported events for the cited work

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Observation ead7dd9d-2bea-43e2-936d-744f8813eae6 · outbound

This paper cites doi:10.1126/sciadv.abd7416.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations doi:10.1126/sciadv.abd7416

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T20:18:44.838617Z

Source-reported events for the cited work

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Observation 601d8c5b-704a-47eb-8f16-a5aaabb3c3a6 · outbound

This paper cites an unresolved cited work.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Unresolved cited work

Reference 3

Resolution: metadata mismatch; raw_fallback, observed 2026-08-06T20:18:54.219366Z

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Observation c3de31db-5016-43b4-9fe5-b7164246768b · outbound

This paper cites an unresolved cited work.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Unresolved cited work

Reference 4

Resolution: metadata mismatch; raw_fallback, observed 2026-08-06T20:18:54.039678Z

Source-reported events for the cited work

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Observation 66146975-19ac-4359-8b9a-63897b2d94b0 · outbound

This paper cites Konuk, J.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Konuk, J

Reference 5

Resolution: verified exact; doi, observed 2026-08-06T20:18:52.501064Z

Source-reported events for the cited work

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Observation bfc5718d-1f2b-4960-976c-2256c95a9ed4 · outbound

This paper cites Borrel-Jensen, S.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Borrel-Jensen, S

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T20:18:45.203273Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31dfe5e7-3b0a-4eb1-94b4-99270f806f64 · outbound

This paper cites doi:10.1021/acs.jpcb.3c07714.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations doi:10.1021/acs.jpcb.3c07714

Reference 7

Resolution: verified exact; doi, observed 2026-08-06T20:18:52.348190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9d1096b3-c794-4d10-93a6-372a2b9b64ba · outbound

This paper cites an unresolved cited work.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:18:58.183779Z

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Observation 439d5d3c-614a-409b-b852-78a537fb20da · outbound

This paper cites Abdar, F.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Abdar, F

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T20:18:45.759594Z

Source-reported events for the cited work

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Observation 2b2df35b-b2d4-4481-b91b-551e96391947 · outbound

This paper cites Cheng, C.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Cheng, C

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:18:57.811930Z

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Observation da9ca8a5-094e-442d-9ddf-0328cf813a97 · outbound

This paper cites doi:/10.1061/(ASCE)MT.1943-5533.0003843.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations doi:/10.1061/(ASCE)MT.1943-5533.0003843

Reference 11

Resolution: metadata mismatch; raw_fallback, observed 2026-08-06T20:18:53.710914Z

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Observation b21e4b4f-2ac3-45f4-83b8-4d2bcbc5d331 · outbound

This paper cites doi:10.1016/j.chemosphere.2023.138830.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations doi:10.1016/j.chemosphere.2023.138830

Reference 12

Resolution: metadata mismatch; raw_fallback, observed 2026-08-06T20:18:53.459891Z

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Observation f1a95fe8-3867-40da-b548-f3599180ec35 · outbound

This paper cites an unresolved cited work.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Unresolved cited work

Reference 13

Resolution: metadata mismatch; raw_fallback, observed 2026-08-06T20:18:53.255393Z

Source-reported events for the cited work

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Observation a6ff9e34-471c-4150-a09b-dbc65a30a65e · outbound

This paper cites an unresolved cited work.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Unresolved cited work

Reference 14

Resolution: verified exact; doi, observed 2026-08-06T20:18:52.177049Z

Source-reported events for the cited work

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Observation 5fd4b332-8700-4d9c-b5a8-8f767803a9d6 · outbound

This paper cites an unresolved cited work.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Unresolved cited work

Reference 15

Resolution: metadata mismatch; raw_fallback, observed 2026-08-06T20:18:53.001751Z

Source-reported events for the cited work

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Observation da04b964-9875-4d75-a5c1-6e3d362a4faa · outbound

This paper cites Towards Signed Distance Function based Metamaterial Design: Neural Operator Transformer for Forward Prediction and Diffusion Model for Inverse Design.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Towards Signed Distance Function based Metamaterial Design: Neural Operator Transformer for Forward Prediction and Diffusion Model for Inverse Design

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-06T20:18:51.747343Z

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Observation cc7b48d0-75bc-4a28-a8b5-e3346a5202d3 · outbound

This paper cites an unresolved cited work.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:18:57.618113Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a001c59b-a090-443c-87f6-212fff633078 · outbound

This paper cites Koric, A.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Koric, A

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:18:57.419632Z

Source-reported events for the cited work

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Observation 66059299-fd82-426f-b849-a4355165ff48 · outbound

This paper cites Goswami, M.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Goswami, M

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:18:57.250863Z

Source-reported events for the cited work

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Observation 39a483df-01bd-425c-93c9-c4ec1abf41d6 · outbound

This paper cites an unresolved cited work.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:18:57.107493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 88a5e6dc-d653-428b-bbb5-5d1f985e2bbd · outbound

This paper cites an unresolved cited work.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:18:56.930341Z

Source-reported events for the cited work

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Observation a1c5e6c6-d024-48c7-8707-0fa03edfed3c · outbound

This paper cites Haghighat, U.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Haghighat, U

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:18:56.747128Z

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Observation 3c7dd0e9-7ef5-4f75-b8c3-8c11e68899c4 · outbound

This paper cites Kobayashi, J.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Kobayashi, J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:18:56.606829Z

Source-reported events for the cited work

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Observation d0c4a284-cfbd-4bad-bb94-4e7b122c09fb · outbound

This paper cites Sahin, C.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Sahin, C

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:18:56.467679Z

Source-reported events for the cited work

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Observation 8caec51e-7420-413f-a511-8003aca670d3 · outbound

This paper cites an unresolved cited work.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:18:56.321834Z

Source-reported events for the cited work

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Observation caa3a35d-7337-45ef-b0c1-56dc5d4f3384 · outbound

This paper cites an unresolved cited work.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:18:56.183855Z

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Observation 0a250661-7f35-4893-9254-0d5bb6b73363 · outbound

This paper cites an unresolved cited work.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:18:56.032754Z

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Observation 08f7263c-0f27-4cea-b4e2-2a390fffc5df · outbound

This paper cites Vaswani, N.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Vaswani, N

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:18:55.884456Z

Source-reported events for the cited work

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Observation 527f4c66-a2ad-43a0-a488-842120ad6529 · outbound

This paper cites Cao, Choose a transformer: Fourier or galerkin, Advances in neural information processing systems 34 (2021) 24924–24940.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Cao, Choose a transformer: Fourier or galerkin, Advances in neural information processing systems 34 (2021) 24924–24940

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T20:18:48.678936Z

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This paper cites an unresolved cited work.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:18:55.743263Z

Source-reported events for the cited work

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Observation 0227d9c1-c850-4db4-b88b-a06cb591db59 · outbound

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

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Transformer for Partial Differential Equations' Operator Learning

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-06T20:18:48.906392Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2cacf4f-7898-4c04-98ba-e89b92cecdc7 · outbound

This paper cites 12556–12569.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations 12556–12569

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:18:55.563310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation da9d7b43-c0c9-456d-af0e-0c1057869e1c · outbound

This paper cites an unresolved cited work.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Unresolved cited work

Reference 33

Resolution: verified exact; doi, observed 2026-08-06T20:18:51.426355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0cb6322d-4bd8-478d-ab5e-4839d1f125f4 · outbound

This paper cites doi:10.1016/j.cma.2024.117560.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations doi:10.1016/j.cma.2024.117560

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-06T20:18:49.494330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c2d0e47-b160-449f-a70d-c65b8c3b9093 · outbound

This paper cites Kushwaha, J.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Kushwaha, J

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:18:55.417962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ea3e8d79-3284-45e4-b767-ceca12531f09 · outbound

This paper cites NeRF: Representing Scenes as Neural Radiance Fields for View Synthesis.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations NeRF: Representing Scenes as Neural Radiance Fields for View Synthesis

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-06T20:18:49.810193Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9c4899e-1ede-4625-8500-c6b138bacdfd · outbound

This paper cites Kozlowski, B.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Kozlowski, B

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:18:55.281368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c683cd54-db2e-4b3f-b048-abf35a8ea290 · outbound

This paper cites Zhu, Coupled Thermo-Mechanical Finite-Element Model with Application to Initial Solidification, Ph.D.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Zhu, Coupled Thermo-Mechanical Finite-Element Model with Application to Initial Solidification, Ph.D

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:18:55.126634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 09d52e38-80de-4c2a-a5a7-7636791bddeb · outbound

This paper cites an unresolved cited work.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:18:54.987366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b1c4c32c-2839-4c89-b559-637407bc0e2c · outbound

This paper cites Koric, B.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Koric, B

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:18:54.861787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a0b0ccf2-945f-421f-8c45-5cbced10f73e · outbound

This paper cites an unresolved cited work.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:18:54.689878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 31557612-8af5-48d4-97f3-fe0d864003af · outbound

This paper cites an unresolved cited work.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:18:54.553056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation fd01894b-3334-4ea7-9ce2-788a06be68f7 · outbound

This paper cites an unresolved cited work.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:18:54.449898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8a2e564d-8b3f-4300-9d8c-4e7d82c7b945 · outbound

This paper cites an unresolved cited work.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:18:54.317279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b54e8a24-d23e-4187-9831-368a46940cc8 · outbound

This paper cites an unresolved cited work.

Sequential Neural Operator Transformer for High-Fidelity Surrogates of Time-Dependent Non-linear Partial Differential Equations Unresolved cited work

Reference 2024

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:18:57.994821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

No inbound Pith citation observations are available.