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Paper Citation Record · LEDGER

Generalized Neural Operator for Parametric and Boundary-Value Problems

As of 23 August 2026, this Paper Citation Record lists 79 of 79 outbound references and 0 inbound Pith citation observations for arXiv:2607.21932.

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

pith.paper-citation-record.v1
2607.21932 v1

Coverage vector

measured 79 of 79 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:36:45.707510Z

measured 79 of 79 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

79 of 79 outbound references displayed

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  • verified fuzzy33
  • unresolved42
  • parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e184b9a2-00e0-4043-b087-1669d314bd8e · outbound

This paper cites Hyperfno: Improving the generalization behavior of fourier neural operators.

Generalized Neural Operator for Parametric and Boundary-Value Problems Hyperfno: Improving the generalization behavior of fourier neural operators

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation ebe594c3-786c-4a22-8543-285634674d57 · outbound

This paper cites Universal Physics Transformers: A Framework For Efficiently Scaling Neural Operators.

Generalized Neural Operator for Parametric and Boundary-Value Problems Universal Physics Transformers: A Framework For Efficiently Scaling Neural Operators

Reference 2

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation d7042dc1-8124-4830-9663-3ef706b4e983 · outbound

This paper cites an unresolved cited work.

Generalized Neural Operator for Parametric and Boundary-Value Problems Unresolved cited work

Reference 3

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 7d5c313f-29e5-4058-a0ab-1baff5d4db5f · outbound

This paper cites Flow matching meets pdes: A unified framework for physics-constrained generation, 2025.

Generalized Neural Operator for Parametric and Boundary-Value Problems Flow matching meets pdes: A unified framework for physics-constrained generation, 2025

Reference 4

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no resolver link, observed 2026-08-15T15:36:45.397297Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.397297Z digest=sha256:fd565d060e74c09fdb9ec542128b2c79f9b1b4160d20eafa4b204c7d7889c895

Observation a6b54e4c-2ea9-4f95-a378-f48bd25fc320 · outbound

This paper cites T., Duvenaud, D., and Jacobsen, J.-H.

Generalized Neural Operator for Parametric and Boundary-Value Problems T., Duvenaud, D., and Jacobsen, J.-H

Reference 5

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.401465Z digest=sha256:26597737c8f84b3a4689126e983fa2c7f7a4f8a8b2e67189c34d3cff01dbb43b

Observation 0bf967ec-22e8-4a04-9d96-0be3c8d690d0 · outbound

This paper cites Distributionally Robust Optimization and Robust Statistics.

Generalized Neural Operator for Parametric and Boundary-Value Problems Distributionally Robust Optimization and Robust Statistics

Reference 6

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation e0e5abd1-2c6e-4c7d-9fa9-e74b8629a135 · outbound

This paper cites The 'scalar' poincar \'e --steklov operator and the 'vector' one: algebraic structures which underlie their duality.

Generalized Neural Operator for Parametric and Boundary-Value Problems The 'scalar' poincar \'e --steklov operator and the 'vector' one: algebraic structures which underlie their duality

Reference 7

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 7ec05d02-76fa-486d-ade0-378c7b1f1fc9 · outbound

This paper cites L., de Bezenac, E., Serrano, L., Regueiro-Espino, R.

Generalized Neural Operator for Parametric and Boundary-Value Problems L., de Bezenac, E., Serrano, L., Regueiro-Espino, R

Reference 8

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 38e298d6-c13f-4a84-b67e-88c4cd7d18b9 · outbound

This paper cites Message Passing Neural PDE Solvers.

Generalized Neural Operator for Parametric and Boundary-Value Problems Message Passing Neural PDE Solvers

Reference 9

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Source-reported events for the cited work

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Observation bc8f630b-95a6-45e7-b821-75f06381b659 · outbound

This paper cites Omniarch: Building foundation model for scientific computing.

Generalized Neural Operator for Parametric and Boundary-Value Problems Omniarch: Building foundation model for scientific computing

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation dc2d50e0-5599-488f-a3e5-ba5791fe69b7 · outbound

This paper cites Mixture of neural operator experts for learning boundary conditions and model selection.

Generalized Neural Operator for Parametric and Boundary-Value Problems Mixture of neural operator experts for learning boundary conditions and model selection

Reference 11

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation f32b3542-ab56-49b9-921c-07090d2bf54f · outbound

This paper cites An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale.

Generalized Neural Operator for Parametric and Boundary-Value Problems An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale

Reference 12

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no resolver link, observed 2026-08-15T15:36:45.434009Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.434009Z digest=sha256:f5713e0debbd91b44c1a538246741cf0e85c50afe6c42d97de6c8511bc4b05a6

Observation f8b45fd1-99aa-4ebf-b990-1f698e054355 · outbound

This paper cites Drivaernet++: A large-scale multimodal car dataset with computational fluid dynamics simulations and deep learning benchmarks.

Generalized Neural Operator for Parametric and Boundary-Value Problems Drivaernet++: A large-scale multimodal car dataset with computational fluid dynamics simulations and deep learning benchmarks

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation b624ae70-98d6-4e0e-91f2-a4c2bebca301 · outbound

This paper cites Drivaernet: A parametric car dataset for data-driven aerodynamic design and prediction.

Generalized Neural Operator for Parametric and Boundary-Value Problems Drivaernet: A parametric car dataset for data-driven aerodynamic design and prediction

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation be1206cc-93d4-4b95-b189-053e66280b77 · outbound

This paper cites L., Yanıkoglu, I., and den Hertog, D.

Generalized Neural Operator for Parametric and Boundary-Value Problems L., Yanıkoglu, I., and den Hertog, D

Reference 15

Resolution
verified exact
doi, observed 2026-08-15T15:36:45.823492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation ccff3ab1-92fe-4cff-9cdf-445c25816bce · outbound

This paper cites Learning to optimize multigrid PDE solvers.

Generalized Neural Operator for Parametric and Boundary-Value Problems Learning to optimize multigrid PDE solvers

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 0ada45f9-bb7d-45c3-a843-3b721f9d736a · outbound

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

Generalized Neural Operator for Parametric and Boundary-Value Problems DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training

Reference 17

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation ed4b5f11-a3f9-4bed-b460-a376cf9dca10 · outbound

This paper cites Flow completion network: Inferring the fluid dynamics from incomplete flow information using graph neural networks.

Generalized Neural Operator for Parametric and Boundary-Value Problems Flow completion network: Inferring the fluid dynamics from incomplete flow information using graph neural networks

Reference 18

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Observation 3586e1a7-326a-45b9-9c26-b5189a3535e3 · outbound

This paper cites Poseidon: Efficient foundation models for pdes, 2024.

Generalized Neural Operator for Parametric and Boundary-Value Problems Poseidon: Efficient foundation models for pdes, 2024

Reference 19

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 502d5f4d-d212-4ec4-bd64-25a543f57c66 · outbound

This paper cites DiffusionPDE: Generative PDE-Solving Under Partial Observation.

Generalized Neural Operator for Parametric and Boundary-Value Problems DiffusionPDE: Generative PDE-Solving Under Partial Observation

Reference 20

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 5c878889-b645-4a1d-84b5-142730eb2c6b · outbound

This paper cites An airflow velocity field reconstruction method with sparse or incomplete data using physics-informed neural network.

Generalized Neural Operator for Parametric and Boundary-Value Problems An airflow velocity field reconstruction method with sparse or incomplete data using physics-informed neural network

Reference 21

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 3396fd8e-fec7-40ad-9a25-3fe10f16703d · outbound

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Generalized Neural Operator for Parametric and Boundary-Value Problems Unresolved cited work

Reference 22

Resolution
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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation b1bce52a-ad23-4964-b444-1f14dbfce24f · outbound

This paper cites K., Boudec, L.

Generalized Neural Operator for Parametric and Boundary-Value Problems K., Boudec, L

Reference 23

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 0fc0566a-dcd7-42c5-b7c9-16edcc54f920 · outbound

This paper cites GEPS: Boosting Generalization in Parametric PDE Neural Solvers through Adaptive Conditioning.

Generalized Neural Operator for Parametric and Boundary-Value Problems GEPS: Boosting Generalization in Parametric PDE Neural Solvers through Adaptive Conditioning

Reference 24

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 295e5d7e-e7df-4046-9099-96de8d31851f · outbound

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

Generalized Neural Operator for Parametric and Boundary-Value Problems Neural operator: Learning maps between function spaces with applications to pdes

Reference 25

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation fb15e32f-a07d-4a21-9fc7-1e2c80296c76 · outbound

This paper cites Benchmarking invertible architectures on inverse problems.

Generalized Neural Operator for Parametric and Boundary-Value Problems Benchmarking invertible architectures on inverse problems

Reference 26

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 927e881e-aa7d-4537-be15-d282f55dc1b5 · outbound

This paper cites Distributionally Robust Optimization.

Generalized Neural Operator for Parametric and Boundary-Value Problems Distributionally Robust Optimization

Reference 27

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unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation beea2c74-4ab1-45ef-84aa-98e1915b6871 · outbound

This paper cites an unresolved cited work.

Generalized Neural Operator for Parametric and Boundary-Value Problems Unresolved cited work

Reference 28

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unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 85778b56-5e43-400a-9e5d-62d5eb1946c9 · outbound

This paper cites Self-guided diffusion model for accelerating computational fluid dynamics, 2025 b.

Generalized Neural Operator for Parametric and Boundary-Value Problems Self-guided diffusion model for accelerating computational fluid dynamics, 2025 b

Reference 29

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation a8e7f181-6b47-4555-9460-3c05ec763534 · outbound

This paper cites Flow field reconstruction with sensor placement policy learning.

Generalized Neural Operator for Parametric and Boundary-Value Problems Flow field reconstruction with sensor placement policy learning

Reference 30

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation f9419f46-0e1b-4c5a-83af-51ef00bfb8c8 · outbound

This paper cites B., Azizzadenesheli, K., liu, B., Bhattacharya, K., Stuart, A., and Anandkumar, A.

Generalized Neural Operator for Parametric and Boundary-Value Problems B., Azizzadenesheli, K., liu, B., Bhattacharya, K., Stuart, A., and Anandkumar, A

Reference 31

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.511624Z digest=sha256:38e584001f35569bd3c4a388b62bcbf47f17983da47fe1df094ade964a727b18

Observation a9e70eda-6168-4523-b277-d9451c011c13 · outbound

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

Generalized Neural Operator for Parametric and Boundary-Value Problems Geometry-Informed Neural Operator for Large-Scale 3D PDEs

Reference 32

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unresolved
no resolver link, observed 2026-08-15T15:36:45.515606Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.515606Z digest=sha256:4494123ccd94c501d7d66d71378a4a4766a963258dfc917a326307e09283834c

Observation c462d4f9-d69f-464c-b639-9a39b93a4d18 · outbound

This paper cites Physics-Informed Neural Operator for Learning Partial Differential Equations.

Generalized Neural Operator for Parametric and Boundary-Value Problems Physics-Informed Neural Operator for Learning Partial Differential Equations

Reference 33

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unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.520183Z digest=sha256:f2d723e5487ede7fda346d363cebb7bbcf3a0298709f3a40b9ad80a4cfc2fc62

Observation 5cbd31a5-9e52-4073-af44-08886e79131f · outbound

This paper cites Learned turbulence modelling with differentiable fluid solvers: physics-based loss functions and optimisation horizons.

Generalized Neural Operator for Parametric and Boundary-Value Problems Learned turbulence modelling with differentiable fluid solvers: physics-based loss functions and optimisation horizons

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.750780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation c759ed4d-270d-4497-8f9e-54d3d90b4dd4 · outbound

This paper cites Transolver++: An accurate neural solver for PDE s on million-scale geometries.

Generalized Neural Operator for Parametric and Boundary-Value Problems Transolver++: An accurate neural solver for PDE s on million-scale geometries

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.736666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.528605Z digest=sha256:926f0e5cb6a16d6b31e99000a04a7062cfe5f1f863d90318d9c1e8962ee4d436

Observation 7de79282-1ca3-4f15-931e-9544e9c5c5a2 · outbound

This paper cites R.-S., Parker, L.

Generalized Neural Operator for Parametric and Boundary-Value Problems R.-S., Parker, L

Reference 36

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.532593Z digest=sha256:1e4f8d51d0b0a811e861078fe7ccf3d810bcb1c9e84d730ae0eac5a577486ffc

Observation 00d602b3-87e1-4dbd-a4a5-1bddad6386e9 · outbound

This paper cites and Hakim, A.

Generalized Neural Operator for Parametric and Boundary-Value Problems and Hakim, A

Reference 37

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no resolver link, observed 2026-08-15T15:36:45.536647Z

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source=arxiv_source observed=2026-08-15T15:36:45.536647Z digest=sha256:2c647a5a8ffa5b81a12e3a044928012616ac293a572c46d906d975f98fb802b4

Observation 775c1268-4d52-4327-9596-ff4602b2f469 · outbound

This paper cites Reconstructing unsteady flows from sparse, noisy measurements with a physics-constrained convolutional neural network.

Generalized Neural Operator for Parametric and Boundary-Value Problems Reconstructing unsteady flows from sparse, noisy measurements with a physics-constrained convolutional neural network

Reference 38

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no resolver link, observed 2026-08-15T15:36:45.540731Z

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source=arxiv_source observed=2026-08-15T15:36:45.540731Z digest=sha256:6070c3cf18210b74e67acf148bef03cff11a8298ab000a44ac537002ec31a6f5

Observation 7a70a255-afe7-4f65-8d9b-cdf7303a04ea · outbound

This paper cites D., Barton, D.

Generalized Neural Operator for Parametric and Boundary-Value Problems D., Barton, D

Reference 39

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no resolver link, observed 2026-08-15T15:36:45.544972Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.544972Z digest=sha256:a10163a09ebe579478b2f2caf49a292e3bcd5eeed1483bae652aba76a21572a5

Observation 1d609eb4-e967-47e0-8769-30e265b38bca · outbound

This paper cites A., Malhotra, M., and Pinsky, P.

Generalized Neural Operator for Parametric and Boundary-Value Problems A., Malhotra, M., and Pinsky, P

Reference 40

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.548997Z digest=sha256:05df8038165840cc59da5a1c7b684ca109bdc4cfed824d865e7aef560def05c0

Observation 393df2ca-3d36-45a2-a4ba-2c40dbe406d1 · outbound

This paper cites The well: a large-scale collection of diverse physics simulations for machine learning.

Generalized Neural Operator for Parametric and Boundary-Value Problems The well: a large-scale collection of diverse physics simulations for machine learning

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.700034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.553073Z digest=sha256:4b6cb388318ec8f6bfed0d509b43a8a4c1f412560f698da36da79d33a328381c

Observation 76d10beb-6de3-4f73-a6fa-5ebcaf479bcf · outbound

This paper cites PyTorch: An Imperative Style, High-Performance Deep Learning Library.

Generalized Neural Operator for Parametric and Boundary-Value Problems PyTorch: An Imperative Style, High-Performance Deep Learning Library

Reference 42

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no resolver link, observed 2026-08-15T15:36:45.557319Z

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source=arxiv_source observed=2026-08-15T15:36:45.557319Z digest=sha256:0c432aad2af4b6865ed2316d3f4fd58d364f3645b1c7da0d07714c188b531acc

Observation 39253907-fb56-4d47-bfa1-cbb9dc2b3ac0 · outbound

This paper cites FiLM: Visual Reasoning with a General Conditioning Layer.

Generalized Neural Operator for Parametric and Boundary-Value Problems FiLM: Visual Reasoning with a General Conditioning Layer

Reference 43

Resolution
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no resolver link, observed 2026-08-15T15:36:45.561600Z

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source=arxiv_source observed=2026-08-15T15:36:45.561600Z digest=sha256:89df2d0a03ba9ebc491821e18a92b921f4cca14f18553e54e73ccf1252354b57

Observation 9c908b78-9702-4730-8c74-65c08cf0e6c5 · outbound

This paper cites Learning mesh-based simulation with graph networks.

Generalized Neural Operator for Parametric and Boundary-Value Problems Learning mesh-based simulation with graph networks

Reference 44

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.565777Z digest=sha256:e90f4469baa81bf43ac80e5aa81e5f37d0401d05cff3803d637f404a6f4498a2

Observation de116bac-d1a6-4677-b13d-111b5f281dbf · outbound

This paper cites Guaranteed conservation of momentum for learning particle-based fluid dynamics.

Generalized Neural Operator for Parametric and Boundary-Value Problems Guaranteed conservation of momentum for learning particle-based fluid dynamics

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.670655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.569692Z digest=sha256:2ab8f15e53ece68c3546d47ceb78cd66ab921fd4f2985d9bf5be1ebf8b601bac

Observation 09c9cc66-1b9c-466f-bb3d-8b8a4d795117 · outbound

This paper cites and Valli, A.

Generalized Neural Operator for Parametric and Boundary-Value Problems and Valli, A

Reference 46

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no resolver link, observed 2026-08-15T15:36:45.573453Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.573453Z digest=sha256:f99fde8d414edc359590b11404fe39dbf526b943aea11775ea94c54ca4f28498

Observation 443cba1b-7b9e-482e-b70f-445ab1e4524e · outbound

This paper cites and Mehrotra, S.

Generalized Neural Operator for Parametric and Boundary-Value Problems and Mehrotra, S

Reference 47

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no resolver link, observed 2026-08-15T15:36:45.577474Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.577474Z digest=sha256:e34888e602764782749d1a245e43b9490107b2046ae94e46c34ab5efdf219227

Observation 14b6d58b-323f-4252-8626-7c388878d69f · outbound

This paper cites A., Ross, Z.

Generalized Neural Operator for Parametric and Boundary-Value Problems A., Ross, Z

Reference 48

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.581700Z digest=sha256:aa238486d744f82c085f18db3557298340ee74b6dcad12586b144684d0e68d54

Observation 0136b6db-a917-4f2f-8e39-80247c30ca60 · outbound

This paper cites Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations.

Generalized Neural Operator for Parametric and Boundary-Value Problems Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

Reference 49

Resolution
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no resolver link, observed 2026-08-15T15:36:45.585666Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.585666Z digest=sha256:98349f61aaccf0c7f78b5123eb7f9558031df0ad88e63d01edbb553b75711051

Observation 6562fcb9-1d42-4cc5-9346-ae605fe71b4f · outbound

This paper cites U-Net: Convolutional Networks for Biomedical Image Segmentation.

Generalized Neural Operator for Parametric and Boundary-Value Problems U-Net: Convolutional Networks for Biomedical Image Segmentation

Reference 50

Resolution
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no resolver link, observed 2026-08-15T15:36:45.589759Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.589759Z digest=sha256:67bc4eb9d654be4cc2fe1bdaf8f4f502bed2d359fa8e9ddc35d092f6b40a2ada

Observation e155f40f-3a76-47fc-9642-d8f21731ce4e · outbound

This paper cites an unresolved cited work.

Generalized Neural Operator for Parametric and Boundary-Value Problems Unresolved cited work

Reference 51

Resolution
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raw_fallback, observed 2026-08-15T15:36:46.643616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.594068Z digest=sha256:7a7445b3c9f315ec7ec4cbe73927a98cb5e4672eaef9e4c6a20c92e4267bd994

Observation 01668723-345f-4eaf-9561-6c2d1f659cd7 · outbound

This paper cites an unresolved cited work.

Generalized Neural Operator for Parametric and Boundary-Value Problems Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:36:46.629616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.597971Z digest=sha256:c3b764b255a3c1acc472f576763d16f996fecd999de157199a1f377d82878d45

Observation 5d3b3d93-cbb6-4c55-8498-29839b546dcd · outbound

This paper cites Deep learning of preconditioners for conjugate gradient solvers in urban water related problems.

Generalized Neural Operator for Parametric and Boundary-Value Problems Deep learning of preconditioners for conjugate gradient solvers in urban water related problems

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.616384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.601818Z digest=sha256:ee8ec3d569d671e924a448109ad38b913705a49f136faf44fe867a0d57ad1550

Observation 3a52efe8-36e6-45ae-9bc6-41711f6ccdef · outbound

This paper cites an unresolved cited work.

Generalized Neural Operator for Parametric and Boundary-Value Problems Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:36:46.602457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.605548Z digest=sha256:167dac498eed49150e025a3321a99d259762227ae94803a4c3c327d70d60f9b2

Observation c938775e-3025-4b49-b930-7ed3fe20a89f · outbound

This paper cites UPS : Efficiently building foundation models for PDE solving via cross-modal adaptation.

Generalized Neural Operator for Parametric and Boundary-Value Problems UPS : Efficiently building foundation models for PDE solving via cross-modal adaptation

Reference 55

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.609663Z digest=sha256:4b2d42a3889ff044741187aa18205ad7167f42348d9e9365f7955474639db99d

Observation b64db75b-37c4-40c0-8c90-e8ee2cb8ec2e · outbound

This paper cites W., and Gholami, A.

Generalized Neural Operator for Parametric and Boundary-Value Problems W., and Gholami, A

Reference 56

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.613681Z digest=sha256:e7a8994ca634cf17b73e995c55219cdbf771d64fc7b315cf2d09a1181c59e83a

Observation ba23d811-aa20-4e1c-a123-9c19a2028868 · outbound

This paper cites Towards a Foundation Model for Partial Differential Equations: Multi-Operator Learning and Extrapolation.

Generalized Neural Operator for Parametric and Boundary-Value Problems Towards a Foundation Model for Partial Differential Equations: Multi-Operator Learning and Extrapolation

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-15T15:36:45.617574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.617574Z digest=sha256:7fe0bd5bdad513d8ed4b1829acb8cd467653eeb36d4712f59bb54d0d3bcea0db

Observation 806fee26-14a3-4cd7-b1b4-b15f89608ec2 · outbound

This paper cites A neural PDE solver with temporal stencil modeling.

Generalized Neural Operator for Parametric and Boundary-Value Problems A neural PDE solver with temporal stencil modeling

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.557267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.621806Z digest=sha256:c00dfafc89be830ee855cf071f6b076e5fbb1005abbc93e5e1219056ad568d22

Observation b16c1b8f-879b-4b8f-96d4-9b6ed8366143 · outbound

This paper cites Learning Neural PDE Solvers with Parameter-Guided Channel Attention.

Generalized Neural Operator for Parametric and Boundary-Value Problems Learning Neural PDE Solvers with Parameter-Guided Channel Attention

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-15T15:36:45.625552Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.625552Z digest=sha256:c96c9de38d4ea3f56538f453019a89bfa8e4c28ea23559df7e93da7b4869d451

Observation 59424231-81a9-48d7-bf16-012443d08e6a · outbound

This paper cites PDEBENCH: An Extensive Benchmark for Scientific Machine Learning.

Generalized Neural Operator for Parametric and Boundary-Value Problems PDEBENCH: An Extensive Benchmark for Scientific Machine Learning

Reference 60

Resolution
unresolved
no resolver link, observed 2026-08-15T15:36:45.629614Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.629614Z digest=sha256:82fac3e32b3610241327601f7fe9bdf5d48f5012fb53624090cbd3264f43abfe

Observation d6121389-a0d3-4e1b-87d7-94bc5a356598 · outbound

This paper cites and Choromanska, A.

Generalized Neural Operator for Parametric and Boundary-Value Problems and Choromanska, A

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.541635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.633899Z digest=sha256:7a06754dd5d2c0d4d23893fcbc4eed1e3af0aeca9a5d1de95180527995cc279d

Observation 5345feb7-9b52-47e8-b75c-b6e4ed63a795 · outbound

This paper cites Lagrangebench: A lagrangian fluid mechanics benchmarking suite.

Generalized Neural Operator for Parametric and Boundary-Value Problems Lagrangebench: A lagrangian fluid mechanics benchmarking suite

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.527739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.637894Z digest=sha256:0079787334ed3841130c1d793873139f6511c5d4569fd019c94e608df30fff7e

Observation 77671fc8-707b-44c7-9332-58a7e4728a79 · outbound

This paper cites Neural SPH: Improved Neural Modeling of Lagrangian Fluid Dynamics.

Generalized Neural Operator for Parametric and Boundary-Value Problems Neural SPH: Improved Neural Modeling of Lagrangian Fluid Dynamics

Reference 63

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unresolved
no resolver link, observed 2026-08-15T15:36:45.641656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.641656Z digest=sha256:0bfa3e26da31774255dcd32aa35ec390ff435918eba9fee8a5d66f381162228e

Observation 345c4020-5d31-42a2-b4ea-0df8759c0332 · outbound

This paper cites an unresolved cited work.

Generalized Neural Operator for Parametric and Boundary-Value Problems Unresolved cited work

Reference 64

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:36:46.512881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.646138Z digest=sha256:e40b014964ff072e3474d1f2cd33917f86be8122677ee0fdc8e3bf23f8e330bc

Observation e9286930-fbf7-41f5-8a68-d48a258c7412 · outbound

This paper cites Attention Is All You Need.

Generalized Neural Operator for Parametric and Boundary-Value Problems Attention Is All You Need

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-15T15:36:45.650022Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.650022Z digest=sha256:9c677337def0f472ab65af5ed5269bee10ab4407443bfd8c73b3fba1e328b984

Observation eef69bb7-8fc3-4a3e-a07e-51e7d593c3c6 · outbound

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

Generalized Neural Operator for Parametric and Boundary-Value Problems BENO : Boundary-embedded neural operators for elliptic PDE s

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.498280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.654283Z digest=sha256:f8622cab9461d6b5a9bf67c82af7615d343c0ea4a6e64783475ffd62a7cc4a35

Observation c991505e-118e-46c2-bcc7-ede4a3a40fee · outbound

This paper cites FD-Bench: A Modular and Fair Benchmark for Data-driven Fluid Simulation.

Generalized Neural Operator for Parametric and Boundary-Value Problems FD-Bench: A Modular and Fair Benchmark for Data-driven Fluid Simulation

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-15T15:36:45.658228Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.658228Z digest=sha256:a2cf357b1d67cbb85ae988485cba920932ab3d8ccf6955f5c8e7f3b937c6fb42

Observation be4dbfbd-3231-45ad-a663-2e4dbe0cfccb · outbound

This paper cites Mixture-of-experts operator transformer for large-scale pde pre-training, 2025 b.

Generalized Neural Operator for Parametric and Boundary-Value Problems Mixture-of-experts operator transformer for large-scale pde pre-training, 2025 b

Reference 68

Resolution
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no resolver link, observed 2026-08-15T15:36:45.662409Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.662409Z digest=sha256:f4836189153460351d366926e83477ac93aabb61ee3da6e1bcde350a58d5490e

Observation 0282dab8-4ef0-49a9-91b4-5fc935868238 · outbound

This paper cites Solving high-dimensional pdes with latent spectral models.

Generalized Neural Operator for Parametric and Boundary-Value Problems Solving high-dimensional pdes with latent spectral models

Reference 69

Resolution
unresolved
no resolver link, observed 2026-08-15T15:36:45.666339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.666339Z digest=sha256:e50297fe663fc3df867b1db73d984348c09a6259d123248b5375065fa90d10b6

Observation d4743897-5d7e-408d-a70c-d9f3c3943431 · outbound

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

Generalized Neural Operator for Parametric and Boundary-Value Problems Transolver: A fast transformer solver for pdes on general geometries

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.474287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.670250Z digest=sha256:f2b8b7c6d30622f0e1885208abd4baf96eefd77c6a6b2e1f7ac7252a0ba43948

Observation b3cf5d42-092b-479d-9e20-bfdf8f8ad0d7 · outbound

This paper cites Rf-pinns: Reactive flow physics-informed neural networks for field reconstruction of laminar and turbulent flames using sparse data.

Generalized Neural Operator for Parametric and Boundary-Value Problems Rf-pinns: Reactive flow physics-informed neural networks for field reconstruction of laminar and turbulent flames using sparse data

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.461191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.674028Z digest=sha256:967c291fbb2c8d07d117f63b300211f76ff25c66cf01018b196479a736366225

Observation c9f545b6-1ad8-4708-9681-d0d24e3b50ef · outbound

This paper cites PDE Generalization of In-Context Operator Networks: A Study on 1D Scalar Nonlinear Conservation Laws.

Generalized Neural Operator for Parametric and Boundary-Value Problems PDE Generalization of In-Context Operator Networks: A Study on 1D Scalar Nonlinear Conservation Laws

Reference 72

Resolution
unresolved
no resolver link, observed 2026-08-15T15:36:45.677964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.677964Z digest=sha256:cffb04267f3f953fc7fc3956533881b1c4f711347730aec855f41d387a0be46c

Observation 9cbff773-337c-4278-8d5d-e83a3f493d72 · outbound

This paper cites an unresolved cited work.

Generalized Neural Operator for Parametric and Boundary-Value Problems Unresolved cited work

Reference 73

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unresolved
no resolver link, observed 2026-08-15T15:36:45.682817Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.682817Z digest=sha256:e0c5a0640d5827b72dae0e5d53454f8595583c75334cd7ac27ef3995ddbbfa98

Observation 8559a85d-0270-42ea-bb60-28da5d906488 · outbound

This paper cites PDE former: Towards a foundation model for one-dimensional partial differential equations.

Generalized Neural Operator for Parametric and Boundary-Value Problems PDE former: Towards a foundation model for one-dimensional partial differential equations

Reference 74

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.447059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.687205Z digest=sha256:fea9786b81f6290b6972166d68181b936dd181669473a78360d759f5a8b25d1a

Observation 892e5960-1609-4e5d-b420-97b3d7c0fa03 · outbound

This paper cites LEADS: Learning Dynamical Systems that Generalize Across Environments.

Generalized Neural Operator for Parametric and Boundary-Value Problems LEADS: Learning Dynamical Systems that Generalize Across Environments

Reference 75

Resolution
verified exact
local_arxiv, observed 2026-08-15T15:36:45.843491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.691115Z digest=sha256:f1c174b4b9cdf3b6931cde39dbdeeb3a91b411a917fa76a54b1a467c4cea6c69

Observation 66696d5e-d66f-4631-93e1-81317b3e37ac · outbound

This paper cites C., Li, M., and Smola, A.

Generalized Neural Operator for Parametric and Boundary-Value Problems C., Li, M., and Smola, A

Reference 76

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.433744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.695415Z digest=sha256:a75f7aa45b95f6041885df1b4f716e266f990200320f2eb04b032e90de70839f

Observation 4df781d9-096b-4338-9352-f391e447e19a · outbound

This paper cites Sparse sensor reconstruction of vortex-impinged airfoil wake with machine learning.

Generalized Neural Operator for Parametric and Boundary-Value Problems Sparse sensor reconstruction of vortex-impinged airfoil wake with machine learning

Reference 77

Resolution
unresolved
no resolver link, observed 2026-08-15T15:36:45.699387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.699387Z digest=sha256:5b4ec843e42422b7ecb13fa3a299863390d1110d151b29dcda4c87eabde1f242

Observation d733caa8-3359-441f-8bd6-237d0c9f32e0 · outbound

This paper cites Unisolver: PDE -conditional transformers are universal PDE solvers, 2025.

Generalized Neural Operator for Parametric and Boundary-Value Problems Unisolver: PDE -conditional transformers are universal PDE solvers, 2025

Reference 78

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:36:46.420212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T15:36:45.703394Z digest=sha256:5f7b0f2b50b9597f91aa03ca8e8698760e5b0d9891b542355e1ba214769450a1

Observation 3a2b4ced-3c22-45f8-b1ce-d3b026381a85 · outbound

This paper cites write newline.

Generalized Neural Operator for Parametric and Boundary-Value Problems write newline

Reference 79

Resolution
unresolved
no resolver link, observed 2026-08-15T15:36:45.707510Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:36:45.707510Z digest=sha256:c75e2af41878dfe6b9a6be35847b37e7ef5e153263f80a721b6ac2274ca71205

Pith citing papers

No inbound Pith citation observations are available.