Paper Citation Record · LEDGER

Neural operator discovery from heterogeneous trajectories

As of 8 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2607.23337.

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

pith.paper-citation-record.v1
2607.23337 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-31T23:47:33.370838Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

52 of 52 outbound references displayed

verified exact1
verified fuzzy0
unresolved51
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ecc90c0b-681e-40d5-a8b1-2f94f6b26a84 · outbound

This paper cites Brunton, J.L.

Neural operator discovery from heterogeneous trajectories Brunton, J.L

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:25.613807Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a1eac8b-b534-46dd-8055-b76803476083 · outbound

This paper cites HyperSINDy: Deep Generative Modeling of Nonlinear Stochastic Governing Equations.

Neural operator discovery from heterogeneous trajectories HyperSINDy: Deep Generative Modeling of Nonlinear Stochastic Governing Equations

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:25.776267Z

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Observation 73f67822-03ef-474d-ab93-02cbf0e7002d · outbound

This paper cites ODEFormer: Symbolic Regression of Dynamical Systems with Transformers.

Neural operator discovery from heterogeneous trajectories ODEFormer: Symbolic Regression of Dynamical Systems with Transformers

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:25.979027Z

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Observation 6e05fa8e-6374-436b-9cca-0481f4fd2914 · outbound

This paper cites Kovachki, Z.

Neural operator discovery from heterogeneous trajectories Kovachki, Z

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:26.120658Z

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Observation 3747b1d0-2cc5-4144-aad7-f45aa3bda4c5 · outbound

This paper cites Azizzadenesheli, N.

Neural operator discovery from heterogeneous trajectories Azizzadenesheli, N

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:26.337694Z

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Observation 743d7a45-64d8-43a9-ba45-5140aa146c12 · outbound

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

Neural operator discovery from heterogeneous trajectories Fourier Neural Operator for Parametric Partial Differential Equations

Reference 6

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Unavailable: canonical work link unavailable.

Observation dc3cac06-b660-4f31-b928-310da86848cc · outbound

This paper cites an unresolved cited work.

Neural operator discovery from heterogeneous trajectories Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:26.716351Z

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Observation 89623257-b420-46aa-a5e2-a1edba282c8a · outbound

This paper cites Unisolver: PDE-Conditional Transformers Towards Universal Neural PDE Solvers.

Neural operator discovery from heterogeneous trajectories Unisolver: PDE-Conditional Transformers Towards Universal Neural PDE Solvers

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:26.906003Z

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Observation 0eb178bf-49f7-466e-882d-bcb69684dae0 · outbound

This paper cites an unresolved cited work.

Neural operator discovery from heterogeneous trajectories Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:27.043108Z

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Observation 03422007-51a9-40d7-855f-11b0ebab47c4 · outbound

This paper cites Transolver: A Fast Transformer Solver for PDEs on General Geometries.

Neural operator discovery from heterogeneous trajectories Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:27.144007Z

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Observation a0d9ad59-8d8d-40f9-82a7-6ba1c559059d · outbound

This paper cites an unresolved cited work.

Neural operator discovery from heterogeneous trajectories Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:27.240657Z

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Observation 1d2124ce-de9a-4ce7-b4ab-bcf10027f299 · outbound

This paper cites an unresolved cited work.

Neural operator discovery from heterogeneous trajectories Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:27.426616Z

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Observation 4032cd48-d7fa-4f52-90c7-f036811ee339 · outbound

This paper cites DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training.

Neural operator discovery from heterogeneous trajectories DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:27.731039Z

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Observation 4ff7826f-ff74-4b1e-9e6e-c5363a52a9d2 · outbound

This paper cites Flow marching for a generative PDE foundation model.

Neural operator discovery from heterogeneous trajectories Flow marching for a generative PDE foundation model

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:27.891346Z

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Observation 7f40782b-0c2c-4a70-8619-c33294da6b45 · outbound

This paper cites Multiple Physics Pretraining for Physical Surrogate Models.

Neural operator discovery from heterogeneous trajectories Multiple Physics Pretraining for Physical Surrogate Models

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:28.083363Z

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Observation 8d3fa2e4-e76b-4ab9-a85a-68081d5905f8 · outbound

This paper cites Why Exposure Bias Matters: An Imitation Learning Perspective of Error Accumulation in Language Generation.

Neural operator discovery from heterogeneous trajectories Why Exposure Bias Matters: An Imitation Learning Perspective of Error Accumulation in Language Generation

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:28.251712Z

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Observation fa20dc66-bfeb-4f62-ae1a-87027c8c8af8 · outbound

This paper cites Latent Generative Solvers for Generalizable Long-Term Physics Simulation.

Neural operator discovery from heterogeneous trajectories Latent Generative Solvers for Generalizable Long-Term Physics Simulation

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:28.395770Z

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Observation 0ac34f09-4236-4b98-99d7-6f9151416626 · outbound

This paper cites an unresolved cited work.

Neural operator discovery from heterogeneous trajectories Unresolved cited work

Reference 18

Resolution: verified exact; doi, observed 2026-07-31T23:51:48.741035Z

Source-reported events for the cited work

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Observation 47320af7-9e36-4c60-ba2e-5b9348d1945f · outbound

This paper cites an unresolved cited work.

Neural operator discovery from heterogeneous trajectories Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:28.679919Z

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Observation 2b442097-5ffb-4bbf-b41f-6b1b1e49576a · outbound

This paper cites Oleinik, Discontinuous solutions of non-linear differential equations.

Neural operator discovery from heterogeneous trajectories Oleinik, Discontinuous solutions of non-linear differential equations

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:28.841197Z

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Unavailable: canonical work link unavailable.

Observation 4940a0db-7d13-4161-b620-e3b8f56b3279 · outbound

This paper cites Kruˇ zkov, First order quasilinear equations in several independent variables.

Neural operator discovery from heterogeneous trajectories Kruˇ zkov, First order quasilinear equations in several independent variables

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:28.967424Z

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Observation 4ff5f26d-dc3e-4577-ae99-19b6611f0db0 · outbound

This paper cites an unresolved cited work.

Neural operator discovery from heterogeneous trajectories Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:29.100981Z

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Observation 0d1153b3-4e10-411c-bfa8-46206a6a43ec · outbound

This paper cites Khosla, P.

Neural operator discovery from heterogeneous trajectories Khosla, P

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:29.216582Z

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Observation 85eb85ea-4ec3-4038-9f0a-bd2b6c780692 · outbound

This paper cites Henderson, Details of the drag curve near the onset of vortex shedding.

Neural operator discovery from heterogeneous trajectories Henderson, Details of the drag curve near the onset of vortex shedding

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:29.372867Z

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Observation f2445c89-7bea-49e9-80ad-95f255ed83bc · outbound

This paper cites Williamson, Vortex dynamics in the cylinder wake.

Neural operator discovery from heterogeneous trajectories Williamson, Vortex dynamics in the cylinder wake

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:29.522497Z

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Observation 6205c85b-9c5f-4b18-b9dd-72301adb11ad · outbound

This paper cites Sch¨ afer, S.

Neural operator discovery from heterogeneous trajectories Sch¨ afer, S

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:29.665585Z

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Unavailable: canonical work link unavailable.

Observation 72fb934d-db0a-4613-9151-e346c7e864cd · outbound

This paper cites FitzHugh, Impulses and physiological states in theoretical models of nerve membrane.

Neural operator discovery from heterogeneous trajectories FitzHugh, Impulses and physiological states in theoretical models of nerve membrane

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:29.825704Z

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Observation d270dcc5-e5b3-4066-8b9b-04de7dbe2dc0 · outbound

This paper cites Nagumo, S.

Neural operator discovery from heterogeneous trajectories Nagumo, S

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:30.003661Z

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Unavailable: canonical work link unavailable.

Observation 0ac395d6-d5fd-4db0-b94c-db2a9fc8d53f · outbound

This paper cites Khemakhem, D.

Neural operator discovery from heterogeneous trajectories Khemakhem, D

Reference 29

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:30.147327Z

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Observation 838d9709-51a9-49b2-a0bb-5e0fe9d2aa0c · outbound

This paper cites Locatello, B.

Neural operator discovery from heterogeneous trajectories Locatello, B

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:30.303612Z

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Observation d52b03f3-8e46-4fe6-bd6a-e3d716cafa7b · outbound

This paper cites Hyv¨ arinen, H.

Neural operator discovery from heterogeneous trajectories Hyv¨ arinen, H

Reference 31

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:30.468084Z

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Observation 554e4b75-b9a1-45b7-a456-d1c2304d0e39 · outbound

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Neural operator discovery from heterogeneous trajectories Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:30.616062Z

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Observation 9a41fcfb-1f3e-46bc-a4cb-dc6647f74141 · outbound

This paper cites Chen, B.W.

Neural operator discovery from heterogeneous trajectories Chen, B.W

Reference 33

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:30.762767Z

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Observation 226b0b82-5e66-48b9-a701-9df8fad69679 · outbound

This paper cites Generative Adversarial Networks.

Neural operator discovery from heterogeneous trajectories Generative Adversarial Networks

Reference 34

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:30.877277Z

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Observation 68c1c7db-0e2b-4fe4-8e6b-1ace8bf00b9d · outbound

This paper cites Alkin, A.

Neural operator discovery from heterogeneous trajectories Alkin, A

Reference 35

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:30.993708Z

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Observation f23155b7-6817-447b-a88e-397816781e36 · outbound

This paper cites Peebles, S.

Neural operator discovery from heterogeneous trajectories Peebles, S

Reference 36

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Observation 3861b134-a176-4bee-837b-05b0b4b397cb · outbound

This paper cites an unresolved cited work.

Neural operator discovery from heterogeneous trajectories Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:31.289344Z

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Unavailable: canonical work link unavailable.

Observation 252b7f84-0698-4a15-8791-dc598bd3f3a2 · outbound

This paper cites Empirical Evaluation of Gated Recurrent Neural Networks on Sequence Modeling.

Neural operator discovery from heterogeneous trajectories Empirical Evaluation of Gated Recurrent Neural Networks on Sequence Modeling

Reference 38

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:31.462349Z

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Unavailable: canonical work link unavailable.

Observation a52c55ff-8b5c-4778-8be6-df363202a411 · outbound

This paper cites Hochreiter, J.

Neural operator discovery from heterogeneous trajectories Hochreiter, J

Reference 39

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Observation 59046367-9bdc-413f-b631-fb13589bc85a · outbound

This paper cites an unresolved cited work.

Neural operator discovery from heterogeneous trajectories Unresolved cited work

Reference 40

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Observation ca43c252-ea66-48ab-9252-ec3aba243a60 · outbound

This paper cites Stratify: Unifying Multi-Step Forecasting Strategies.

Neural operator discovery from heterogeneous trajectories Stratify: Unifying Multi-Step Forecasting Strategies

Reference 41

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:31.921308Z

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Unavailable: canonical work link unavailable.

Observation ad3b9860-c8b1-49da-aae9-4504d7daacc1 · outbound

This paper cites an unresolved cited work.

Neural operator discovery from heterogeneous trajectories Unresolved cited work

Reference 42

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:32.082608Z

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Unavailable: canonical work link unavailable.

Observation a9465a3e-92aa-455d-bd6a-054545fdc3ad · outbound

This paper cites Lee, J.M.

Neural operator discovery from heterogeneous trajectories Lee, J.M

Reference 43

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:32.243767Z

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Unavailable: canonical work link unavailable.

Observation 1a436b53-fcea-4117-96a8-734c3d667be8 · outbound

This paper cites Huang, Z.

Neural operator discovery from heterogeneous trajectories Huang, Z

Reference 44

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:32.363985Z

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Unavailable: canonical work link unavailable.

Observation 254e4503-4a5b-4e49-a141-11edfc524d50 · outbound

This paper cites Rahaman, A.

Neural operator discovery from heterogeneous trajectories Rahaman, A

Reference 45

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:32.443967Z

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Unavailable: canonical work link unavailable.

Observation 27d4f547-1468-4db4-a369-ebd4a74e2f58 · outbound

This paper cites Tancik, P.P.

Neural operator discovery from heterogeneous trajectories Tancik, P.P

Reference 46

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Unavailable: canonical work link unavailable.

Observation d9c11dfe-9469-41a3-b4bb-b0a01da527d6 · outbound

This paper cites Spanier, Algebraic topology (Springer Science & Business Media, 2012) 21.

Neural operator discovery from heterogeneous trajectories Spanier, Algebraic topology (Springer Science & Business Media, 2012) 21

Reference 47

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Unavailable: canonical work link unavailable.

Observation 63c8e743-0b46-441f-a584-708467aa2819 · outbound

This paper cites Locatello, S.

Neural operator discovery from heterogeneous trajectories Locatello, S

Reference 48

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:32.712980Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f0df8ce-472e-4770-9536-002f6f42efe1 · outbound

This paper cites Klindt, L.

Neural operator discovery from heterogeneous trajectories Klindt, L

Reference 49

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Observation e41cfe5c-d1ba-4d5d-ae65-037c3b44f97f · outbound

This paper cites Udrescu, M.

Neural operator discovery from heterogeneous trajectories Udrescu, M

Reference 50

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:33.069539Z

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Unavailable: canonical work link unavailable.

Observation c6836396-a22b-4353-a587-ba7856b229c3 · outbound

This paper cites Interpretable Machine Learning for Science with PySR and SymbolicRegression.jl.

Neural operator discovery from heterogeneous trajectories Interpretable Machine Learning for Science with PySR and SymbolicRegression.jl

Reference 51

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:33.222290Z

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Unavailable: canonical work link unavailable.

Observation 31f841d8-136e-4c02-971e-02c4f23957a7 · outbound

This paper cites elbow” shape as the latent dimension increases; the “elbow.

Neural operator discovery from heterogeneous trajectories elbow” shape as the latent dimension increases; the “elbow

Reference 52

Resolution: unresolved; no resolver link, observed 2026-07-31T23:47:33.370838Z

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Pith citing papers

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