Paper Citation Record · LEDGER

Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 13 inbound Pith citation observations for arXiv:2212.12474.

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

pith.paper-citation-record.v1
2212.12474 v6

Coverage vector

measured 0 of 0 reference resolution

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measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 13 of 13 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:22:25.850018Z

measured 1 of 1 external citation measurements

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

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

Reference resolution

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External citation measurements

13
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 604e2086-5fe5-4b94-b26e-20a09df4d9d4 · inbound

PDE-DKL: PDE-constrained deep kernel learning in high dimensionality cites this paper.

PDE-DKL: PDE-constrained deep kernel learning in high dimensionality Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-10T00:14:36.444119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 66f1e003-d5f5-4b0a-8ec6-d1701e0aa632 · inbound

Gaussian Processes and Reproducing Kernels: Connections and Equivalences cites this paper.

Gaussian Processes and Reproducing Kernels: Connections and Equivalences Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T19:22:25.850018Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d2a05667-7672-4ec7-a2f4-ad2b98777a2d · inbound

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures cites this paper.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T23:28:00.741644Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8eaf6f70-6c1f-404f-a415-15ec11cb0761 · inbound

A Dynamical Model for Spatio-Temporal Processes Motivated by Second-Order Partial Differential Equations cites this paper.

A Dynamical Model for Spatio-Temporal Processes Motivated by Second-Order Partial Differential Equations Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-05-17T03:38:58.129197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e56a3ca8-acd4-444b-aff2-f003b424a58b · inbound

Structure-Preserving Gaussian Processes Via Discrete Euler-Lagrange Equations cites this paper.

Structure-Preserving Gaussian Processes Via Discrete Euler-Lagrange Equations Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-05-11T18:56:05.811020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9ac3d06b-ec1f-41da-94e4-204eec145c1b · inbound

Kernel Learning of PDE Solution Operators cites this paper.

Kernel Learning of PDE Solution Operators Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers

Reference 52

Resolution: metadata mismatch; arxiv_id, observed 2026-05-12T06:31:27.682277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9962966b-f91a-4139-9fe8-1b479b91701e · inbound

Pressure reconstruction from error-embedded gradient measurements: a Gaussian-process generalization of Green's function integration cites this paper.

Pressure reconstruction from error-embedded gradient measurements: a Gaussian-process generalization of Green's function integration Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-05-13T02:12:07.206774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2af9d530-c89f-4232-8ffa-5ccb904cd0ac · inbound

Pressure reconstruction from error-embedded gradient measurements: a Gaussian-process generalization of Green's function integration cites this paper.

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-07-01T14:15:46.823040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 45e8d0f6-5df5-49d8-a5c7-af83b581cca2 · inbound

Conditioning Gaussian Processes on Almost Anything cites this paper.

Conditioning Gaussian Processes on Almost Anything Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-21T02:09:24.502942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation edb2cd9d-0205-44c4-8bfd-189f368096ad · inbound

Error bounds for approximate posteriors from likelihood-informed reduced-order models cites this paper.

Error bounds for approximate posteriors from likelihood-informed reduced-order models Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-06-28T21:12:37.894621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f269a37c-3c8b-45d3-8c84-0d8f8ff73b5a · inbound

P-K-GCN: Physics-augmented Koopman-enhanced Graph Convolutional Network for Deep Spatiotemporal Super-resolution cites this paper.

P-K-GCN: Physics-augmented Koopman-enhanced Graph Convolutional Network for Deep Spatiotemporal Super-resolution Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers

Reference 78

Resolution: metadata mismatch; arxiv_id, observed 2026-07-04T00:59:19.173391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 19f23055-7e3f-4b30-8384-287a1266ac27 · inbound

A unified perspective of Gaussian process approximation for differential equations cites this paper.

A unified perspective of Gaussian process approximation for differential equations Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-07-08T11:04:53.560189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c6a09c5c-df9b-4c7e-804a-1c8ef531aab1 · inbound

Hierarchical Bayesian Quadrature cites this paper.

Hierarchical Bayesian Quadrature Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-14T09:13:45.298984Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.