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Paper Citation Record · LEDGER

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data

As of 9 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2505.21421.

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

pith.paper-citation-record.v1
2505.21421 v1

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:40:20.808373Z

measured 44 of 44 standing notices

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

44 of 44 outbound references displayed

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External citation measurements

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Outbound references

Observation 21382136-fabf-46d6-ba12-1b4812156eac · outbound

This paper cites The graph neural network model,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data The graph neural network model,

Reference 1

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Observation 007414b4-2bf7-4039-b0fd-abb9546674e3 · outbound

This paper cites Semi-Supervised Classification with Graph Convolutional Networks.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Semi-Supervised Classification with Graph Convolutional Networks

Reference 2

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Observation dc7ee00b-17e7-491b-8039-72c140d44e90 · outbound

This paper cites Graph Attention Networks.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Graph Attention Networks

Reference 3

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Observation 91248fc5-ffb4-447d-b87d-99a7ee3097be · outbound

This paper cites Inductive representation learning on large graphs,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Inductive representation learning on large graphs,

Reference 4

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Observation 071657b6-65b2-4490-95c2-95e36e7051a5 · outbound

This paper cites How Powerful are Graph Neural Networks?.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data How Powerful are Graph Neural Networks?

Reference 5

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Observation 745669c9-33aa-407a-ae04-3fadae8287f7 · outbound

This paper cites Neural Machine Translation by Jointly Learning to Align and Translate.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Neural Machine Translation by Jointly Learning to Align and Translate

Reference 6

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Observation a776580f-bfc4-4dc1-9e52-4d43086d5914 · outbound

This paper cites Effective Approaches to Attention-based Neural Machine Translation.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Effective Approaches to Attention-based Neural Machine Translation

Reference 7

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Observation 0beb26c2-9b36-46a3-bff7-80cad61ac262 · outbound

This paper cites Attention is all you need,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Attention is all you need,

Reference 8

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Observation 3598bca3-b9e9-4e5a-8f4d-02e105a1a054 · outbound

This paper cites Improving language understanding by generative pre-training,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Improving language understanding by generative pre-training,

Reference 9

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Observation 0f53eb42-e6f0-4f2f-a08a-ef755e598221 · outbound

This paper cites Bert: Pre-training of deep bidirectional transformers for language understanding,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Bert: Pre-training of deep bidirectional transformers for language understanding,

Reference 10

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Observation 785a48a7-eb38-4f57-8d44-0cd44c0695ec · outbound

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

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale

Reference 11

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Observation 380334ae-ce3e-4139-9545-0f4207d78895 · outbound

This paper cites Transformers are rnns: Fast autoregressive transformers with linear attention,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Transformers are rnns: Fast autoregressive transformers with linear attention,

Reference 12

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Observation e451ecb0-ae27-4287-89a3-4e52c9dda75d · outbound

This paper cites Rethinking Attention with Performers.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Rethinking Attention with Performers

Reference 13

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Observation 520164eb-aa8c-468b-9a29-7009d8295c58 · outbound

This paper cites Mamba: Linear-Time Sequence Modeling with Selective State Spaces.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Mamba: Linear-Time Sequence Modeling with Selective State Spaces

Reference 14

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Observation 3c1544d7-81c5-4b7f-80c0-c4cffb42079f · outbound

This paper cites Transformers are SSMs: Generalized Models and Efficient Algorithms Through Structured State Space Duality.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Transformers are SSMs: Generalized Models and Efficient Algorithms Through Structured State Space Duality

Reference 15

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Observation 9892ce18-e39f-4480-9436-a529f4f5574b · outbound

This paper cites A Generalization of Transformer Networks to Graphs.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data A Generalization of Transformer Networks to Graphs

Reference 16

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Observation 298bc1e2-dae9-4dbc-9ed4-dc6f8993862c · outbound

This paper cites Rethinking graph transformers with spectral attention,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Rethinking graph transformers with spectral attention,

Reference 17

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Observation 4e47545b-1ae7-4131-a6e2-50f5b9e7e652 · outbound

This paper cites Do transformers really perform badly for graph representation?.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Do transformers really perform badly for graph representation?

Reference 18

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Observation 10a6c058-9e34-4926-9234-7297c83e7a55 · outbound

This paper cites Graph mamba: Towards learning on graphs with state space models,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Graph mamba: Towards learning on graphs with state space models,

Reference 19

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Observation ddc805cc-c38e-49f5-b375-d5107813675b · outbound

This paper cites Graph-Mamba: Towards Long-Range Graph Sequence Modeling with Selective State Spaces.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Graph-Mamba: Towards Long-Range Graph Sequence Modeling with Selective State Spaces

Reference 20

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Observation 80a5f505-c1f3-4d0d-a996-34cd3a3ab18f · outbound

This paper cites Recipe for a general, powerful, scalable graph transformer,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Recipe for a general, powerful, scalable graph transformer,

Reference 21

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Observation 30b2e35f-e0f9-4286-ae00-78bac62768ed · outbound

This paper cites On the unreasonable effectiveness of feature propagation in learning on graphs with missing node features,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data On the unreasonable effectiveness of feature propagation in learning on graphs with missing node features,

Reference 22

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Observation d0072472-33da-4e5f-a656-01f59e3a4b8f · outbound

This paper cites Karhunen–loeve procedure for gappy data,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Karhunen–loeve procedure for gappy data,

Reference 23

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Observation e747d329-12fd-4c17-a94d-a7bb293e3616 · outbound

This paper cites Aerodynamic data reconstruction and inverse design using proper orthogonal decomposition,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Aerodynamic data reconstruction and inverse design using proper orthogonal decomposition,

Reference 24

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Observation 9b41b6bf-59da-4b76-bede-dcc05a908cd4 · outbound

This paper cites Proper orthogonal decomposition for steady aerodynamic applications,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Proper orthogonal decomposition for steady aerodynamic applications,

Reference 25

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Observation 9fad9202-9118-401a-bc14-574784f795a6 · outbound

This paper cites A surrogate-based flow-field prediction and optimization strategy for hypersonic thrust nozzle,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data A surrogate-based flow-field prediction and optimization strategy for hypersonic thrust nozzle,

Reference 26

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Observation 2667d021-75fd-467c-bb9c-16496437fddc · outbound

This paper cites Graph Neural Networks for Aerodynamic Flow Reconstruction from Sparse Sensing.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Graph Neural Networks for Aerodynamic Flow Reconstruction from Sparse Sensing

Reference 27

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Observation eb5daaa1-7410-4745-8910-3ca6a122b91b · outbound

This paper cites A practical approach to flow field reconstruction with sparse or incomplete data through physics informed neural network,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data A practical approach to flow field reconstruction with sparse or incomplete data through physics informed neural network,

Reference 28

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Observation e2b859b2-3da9-46d9-9e74-51f65b60b5e6 · outbound

This paper cites Gappy ae: A nonlinear approach for gappy data reconstruction using auto-encoder,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Gappy ae: A nonlinear approach for gappy data reconstruction using auto-encoder,

Reference 29

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Observation 1aaee1c6-c68e-4f43-a19e-e409f8d50509 · outbound

This paper cites Rapid and sparse reconstruction of high-speed steady-state and transient compressible flow fields using physics-informed graph neural networks,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Rapid and sparse reconstruction of high-speed steady-state and transient compressible flow fields using physics-informed graph neural networks,

Reference 30

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Observation 72d6e7ac-b947-4ee6-a613-60cac8cd5c29 · outbound

This paper cites Flow field reconstruction from sparse sensor measurements with physics-informed neural networks,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Flow field reconstruction from sparse sensor measurements with physics-informed neural networks,

Reference 31

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Observation 7172c0e7-5521-4221-a7f9-cea5e90b865c · outbound

This paper cites Flow reconstruction in time-varying geometries using graph neural networks.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Flow reconstruction in time-varying geometries using graph neural networks

Reference 32

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Observation bf64cc84-8626-4c16-8833-d1a5a1d73f4e · outbound

This paper cites Mean flow data assimilation using physics-constrained Graph Neural Networks.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Mean flow data assimilation using physics-constrained Graph Neural Networks

Reference 33

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Observation d59c9d8f-04e9-4f91-b3a8-58213e9ca627 · outbound

This paper cites FLRNet: A Deep Learning Method for Regressive Reconstruction of Flow Field From Limited Sensor Measurements.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data FLRNet: A Deep Learning Method for Regressive Reconstruction of Flow Field From Limited Sensor Measurements

Reference 34

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

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Observation b275e1c0-072c-4050-a5bc-742d17189132 · outbound

This paper cites Flronet: Deep operator learning for high-fidelity fluid flow field reconstruction from sparse sensor measurements,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Flronet: Deep operator learning for high-fidelity fluid flow field reconstruction from sparse sensor measurements,

Reference 35

Resolution
verified exact
raw_fallback, observed 2026-08-07T13:40:21.198662Z

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.

source=pdf_text observed=2026-08-07T13:40:19.858344Z digest=sha256:43a34102c0c2a2eec59563b00e7cae1c51c9d270ed5a0ecbbd4592b9d78584d6

Observation 1f5d24b5-7d15-411a-8956-db0c6167c89a · outbound

This paper cites On the choice of wavespeeds for the HLLC riemann solver,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data On the choice of wavespeeds for the HLLC riemann solver,

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:40:23.337557Z

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.

source=pdf_text observed=2026-08-07T13:40:19.936252Z digest=sha256:9dab8e45f6bac0f2f36904346f196d3b6e0c0a42783bb0745d8d941f0ca8cf37

Observation 5f84f0e2-ee73-4eb9-99cb-7195690d203b · outbound

This paper cites Classification of the Riemann problem for two-dimensional gas dynamics,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Classification of the Riemann problem for two-dimensional gas dynamics,

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:40:23.190509Z

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.

source=pdf_text observed=2026-08-07T13:40:20.074833Z digest=sha256:16d0bb956f4ef6a3a8051ee806ef25de20a436c6b8b93dbf02789dd0766e955a

Observation 1684817d-336e-49fe-bdf1-85f5bb0c8b2c · outbound

This paper cites Asystematicanalysisofthree-dimensionalriemannproblemsforverification of compressible-flow solvers,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Asystematicanalysisofthree-dimensionalriemannproblemsforverification of compressible-flow solvers,

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:40:23.073469Z

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.

source=pdf_text observed=2026-08-07T13:40:20.144754Z digest=sha256:700ddcc3c182dcf44573015b7deacca34f0f965850b7037955f44bd969eca8b4

Observation 21189e54-8cd7-4336-ac3d-fac54408703b · outbound

This paper cites Benchmarking graph neural networks,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Benchmarking graph neural networks,

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:40:22.963595Z

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.

source=pdf_text observed=2026-08-07T13:40:20.215783Z digest=sha256:a3f697c8d057dc2706f0829da3e28ea8c82724dc5a00e617278238b3084a1f1c

Observation d5860c99-c8e3-4e33-9b73-4d0ec8924ffb · outbound

This paper cites Exphormer: Sparse transformers for graphs,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Exphormer: Sparse transformers for graphs,

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:40:22.733604Z

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.

source=pdf_text observed=2026-08-07T13:40:20.354752Z digest=sha256:95674b61b03cd2160e6a507ae7542cf15c95051e1f2541bd183c96bd5b9beb3d

Observation 82b0a60e-45b4-4328-a9ee-5ac3ab814195 · outbound

This paper cites Godunov loss functions for modelling of hyperbolic conservation laws,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Godunov loss functions for modelling of hyperbolic conservation laws,

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:40:22.595151Z

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.

source=pdf_text observed=2026-08-07T13:40:20.464756Z digest=sha256:d5522d18f71e0b62d2646b8e321937d829538eefc110213111b3b8f30e0be132

Observation 460586c7-0ea7-468a-aa76-66da7dc810fb · outbound

This paper cites The HLLC Riemann solver,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data The HLLC Riemann solver,

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:40:22.429679Z

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.

source=pdf_text observed=2026-08-07T13:40:20.560642Z digest=sha256:28d8e0be21be0350548d8deeee14711c3c8fbc8e1500d425a6836c3caf42fdac

Observation a1f6eee5-da11-450b-aa93-fe1517516f15 · outbound

This paper cites Springer Science & Business Media, 2013.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Springer Science & Business Media, 2013

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:40:22.271294Z

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.

source=pdf_text observed=2026-08-07T13:40:20.704216Z digest=sha256:847ddf15fcc18a7c51a8c30953787e881c740aa61b2e6980074f6152917177bb

Observation 16083362-f89b-4c55-be7a-17a5c4f49728 · outbound

This paper cites Threedimensionalhllriemannsolverforconservationlawsonstructuredmeshes;applicationtoeulerandmagnetohydrodynamic flows,.

A Physics-Augmented GraphGPS Framework for the Reconstruction of 3D Riemann Problems from Sparse Data Threedimensionalhllriemannsolverforconservationlawsonstructuredmeshes;applicationtoeulerandmagnetohydrodynamic flows,

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:40:22.131713Z

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.

source=pdf_text observed=2026-08-07T13:40:20.808373Z digest=sha256:57d722caf695296da6e72b9ca0f03e1f638294084f3492f879ebe24979232dc8

Pith citing papers

No inbound Pith citation observations are available.