{"as_of":"2026-08-19T20:27:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:eb9e790ec4b7a106f155d5de4fd9375f16c3c9c9af6f12dfb235fdd18ee905b9","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":13,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":13,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":13,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":13,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T19:22:25.850018Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"pith","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":13,"observed_at":"2026-08-05T02:28:24.338817Z","source":"pith"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2212.12474","last_updated":"2024-04-28T15:57:36Z","snapshot_observed_at":"2026-08-16T16:06:18.648633Z","submitted_at":"2022-12-23T17:02:59Z","title":"Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers","version":6},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.12474","snapshot_observed_at":"2026-08-10T00:14:36.444119Z","title":"Physics-informed Gaussian process regression generalizes linear PDE solvers","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.18258","last_updated":"2025-01-30T10:39:52Z","snapshot_observed_at":"2026-08-10T08:46:08.658813Z","submitted_at":"2025-01-30T10:39:52Z","title":"PDE-DKL: PDE-constrained deep kernel learning in high dimensionality","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T00:14:36.444119Z"},"links":{"cited_paper":"/paper/2212.12474","citing_paper":"/paper/2501.18258"},"observation_digest":"sha256:e9a3a42979e89442f103c41125cd8da645af045d71b21c7fe7f4c0c51d0a081d","observation_id":"604e2086-5fe5-4b94-b26e-20a09df4d9d4","resolution":{"observed_at":"2026-08-10T00:14:36.444119Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2212.12474","last_updated":"2024-04-28T15:57:36Z","snapshot_observed_at":"2026-08-16T16:06:18.648633Z","submitted_at":"2022-12-23T17:02:59Z","title":"Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers","version":6},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.12474","snapshot_observed_at":"2026-08-15T19:22:25.850018Z","title":"Gaussian process behaviour in wide deep neural networks","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2506.17366","last_updated":"2025-06-20T12:08:18Z","snapshot_observed_at":"2026-08-19T06:08:16.889058Z","submitted_at":"2025-06-20T12:08:18Z","title":"Gaussian Processes and Reproducing Kernels: Connections and Equivalences","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T19:22:25.850018Z"},"links":{"cited_paper":"/paper/2212.12474","citing_paper":"/paper/2506.17366"},"observation_digest":"sha256:1124b1af327c33ba38c22a49658e57d963da70def695931fc9b6d75eb0cbc9fe","observation_id":"66f1e003-d5f5-4b0a-8ec6-d1701e0aa632","resolution":{"observed_at":"2026-08-15T19:22:25.850018Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2212.12474","last_updated":"2024-04-28T15:57:36Z","snapshot_observed_at":"2026-08-16T16:06:18.648633Z","submitted_at":"2022-12-23T17:02:59Z","title":"Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers","version":6},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.12474","snapshot_observed_at":"2026-08-06T23:28:00.741644Z","title":"Physics-informed gaussian process regression generalizes linear pde solvers,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.18247","last_updated":"2025-07-11T17:48:06Z","snapshot_observed_at":"2026-08-17T10:55:39.732018Z","submitted_at":"2025-06-23T02:32:20Z","title":"Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T23:28:00.741644Z"},"links":{"cited_paper":"/paper/2212.12474","citing_paper":"/paper/2506.18247"},"observation_digest":"sha256:b35c531eb89ac767b2ea0e406908e0f679fdf81225edf9ac931afb7cabfd5de9","observation_id":"d2a05667-7672-4ec7-a2f4-ad2b98777a2d","resolution":{"observed_at":"2026-08-06T23:28:00.741644Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2212.12474","last_updated":"2024-04-28T15:57:36Z","snapshot_observed_at":"2026-08-16T16:06:18.648633Z","submitted_at":"2022-12-23T17:02:59Z","title":"Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers","version":6},"cited_work":{"arxiv_id":"2212.12474","doi":"10.48550/arxiv.2212.12474","metadata_source":"pith","pith_arxiv_id":"2212.12474","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Physics-informed Gaussian process regression generalizes linear PDE solvers","venue":"cs.LG","work_id":"b8cf86f4-1b61-4410-8af4-10d76f00210d","year":2022},"citing_paper":{"arxiv_id":"2512.01279","last_updated":"2026-05-07T19:37:19Z","snapshot_observed_at":"2026-08-12T18:45:42.932951Z","submitted_at":"2025-12-01T04:52:16Z","title":"A Dynamical Model for Spatio-Temporal Processes Motivated by Second-Order Partial Differential Equations","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-17T03:36:35.473030Z"},"links":{"cited_paper":"/paper/2212.12474","citing_paper":"/paper/2512.01279"},"observation_digest":"sha256:1b9b09afb6fabad6d43702e3beed07a3aae65317b2e03a78bd57cec4283e11a3","observation_id":"8eaf6f70-6c1f-404f-a415-15ec11cb0761","resolution":{"observed_at":"2026-05-17T03:38:58.129197Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2212.12474","last_updated":"2024-04-28T15:57:36Z","snapshot_observed_at":"2026-08-16T16:06:18.648633Z","submitted_at":"2022-12-23T17:02:59Z","title":"Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers","version":6},"cited_work":{"arxiv_id":"2212.12474","doi":"10.48550/arxiv.2212.12474","metadata_source":"pith","pith_arxiv_id":"2212.12474","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Physics-informed Gaussian process regression generalizes linear PDE solvers","venue":"cs.LG","work_id":"b8cf86f4-1b61-4410-8af4-10d76f00210d","year":2022},"citing_paper":{"arxiv_id":"2605.06246","last_updated":"2026-05-07T13:26:47Z","snapshot_observed_at":"2026-08-13T12:11:03.732590Z","submitted_at":"2026-05-07T13:26:47Z","title":"Structure-Preserving Gaussian Processes Via Discrete Euler-Lagrange Equations","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-08T13:28:06.412955Z"},"links":{"cited_paper":"/paper/2212.12474","citing_paper":"/paper/2605.06246"},"observation_digest":"sha256:78cf354f95ae4a32dc65f263391eda792eb011a7f48c270981d54bbb4328d211","observation_id":"e56a3ca8-acd4-444b-aff2-f003b424a58b","resolution":{"observed_at":"2026-05-11T18:56:05.811020Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2212.12474","last_updated":"2024-04-28T15:57:36Z","snapshot_observed_at":"2026-08-16T16:06:18.648633Z","submitted_at":"2022-12-23T17:02:59Z","title":"Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers","version":6},"cited_work":{"arxiv_id":"2212.12474","doi":"10.48550/arxiv.2212.12474","metadata_source":"pith","pith_arxiv_id":"2212.12474","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Physics-informed Gaussian process regression generalizes linear PDE solvers","venue":"cs.LG","work_id":"b8cf86f4-1b61-4410-8af4-10d76f00210d","year":2022},"citing_paper":{"arxiv_id":"2605.09643","last_updated":"2026-05-10T16:39:09Z","snapshot_observed_at":"2026-07-06T23:21:44.900680Z","submitted_at":"2026-05-10T16:39:09Z","title":"Kernel Learning of PDE Solution Operators","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-05-12T04:12:31.765905Z"},"links":{"cited_paper":"/paper/2212.12474","citing_paper":"/paper/2605.09643"},"observation_digest":"sha256:87c623c7a6938b338f5ded2c007aa0482a656276093cb0dcd8da43fdb3f7b491","observation_id":"9ac3d06b-ec1f-41da-94e4-204eec145c1b","resolution":{"observed_at":"2026-05-12T06:31:27.682277Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2212.12474","last_updated":"2024-04-28T15:57:36Z","snapshot_observed_at":"2026-08-16T16:06:18.648633Z","submitted_at":"2022-12-23T17:02:59Z","title":"Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers","version":6},"cited_work":{"arxiv_id":"2212.12474","doi":"10.48550/arxiv.2212.12474","metadata_source":"pith","pith_arxiv_id":"2212.12474","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Physics-informed Gaussian process regression generalizes linear PDE solvers","venue":"cs.LG","work_id":"b8cf86f4-1b61-4410-8af4-10d76f00210d","year":2022},"citing_paper":{"arxiv_id":"2605.11293","last_updated":"2026-05-24T17:00:54Z","snapshot_observed_at":"2026-08-04T01:40:39.003538Z","submitted_at":"2026-05-11T22:25:01Z","title":"Pressure reconstruction from error-embedded gradient measurements: a Gaussian-process generalization of Green's function integration","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-13T02:10:14.061998Z"},"links":{"cited_paper":"/paper/2212.12474","citing_paper":"/paper/2605.11293"},"observation_digest":"sha256:5df2b8855145b5878a9de97c921bdd88a1c1ba03796b527adbd803d8689f7078","observation_id":"9962966b-f91a-4139-9fe8-1b479b91701e","resolution":{"observed_at":"2026-05-13T02:12:07.206774Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2212.12474","last_updated":"2024-04-28T15:57:36Z","snapshot_observed_at":"2026-08-16T16:06:18.648633Z","submitted_at":"2022-12-23T17:02:59Z","title":"Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers","version":6},"cited_work":{"arxiv_id":"2212.12474","doi":"10.48550/arxiv.2212.12474","metadata_source":"pith","pith_arxiv_id":"2212.12474","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Physics-informed Gaussian process regression generalizes linear PDE solvers","venue":"cs.LG","work_id":"b8cf86f4-1b61-4410-8af4-10d76f00210d","year":2022},"citing_paper":{"arxiv_id":"2605.11293","last_updated":"2026-05-24T17:00:54Z","snapshot_observed_at":"2026-08-04T01:40:39.003538Z","submitted_at":"2026-05-11T22:25:01Z","title":"Pressure reconstruction from error-embedded gradient measurements: a Gaussian-process generalization of Green's function integration","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-06-30T22:11:17.930978Z"},"links":{"cited_paper":"/paper/2212.12474","citing_paper":"/paper/2605.11293"},"observation_digest":"sha256:1d192bdbe02b80052b8418ef6b7e50d0fa3592c64f13a49a9df5b90962354497","observation_id":"2af9d530-c89f-4232-8ffa-5ccb904cd0ac","resolution":{"observed_at":"2026-07-01T14:15:46.823040Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2212.12474","last_updated":"2024-04-28T15:57:36Z","snapshot_observed_at":"2026-08-16T16:06:18.648633Z","submitted_at":"2022-12-23T17:02:59Z","title":"Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers","version":6},"cited_work":{"arxiv_id":"2212.12474","doi":"10.48550/arxiv.2212.12474","metadata_source":"pith","pith_arxiv_id":"2212.12474","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Physics-informed Gaussian process regression generalizes linear PDE solvers","venue":"cs.LG","work_id":"b8cf86f4-1b61-4410-8af4-10d76f00210d","year":2022},"citing_paper":{"arxiv_id":"2605.21041","last_updated":"2026-05-20T11:23:42Z","snapshot_observed_at":"2026-08-14T09:58:20.472263Z","submitted_at":"2026-05-20T11:23:42Z","title":"Conditioning Gaussian Processes on Almost Anything","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-21T02:06:14.191295Z"},"links":{"cited_paper":"/paper/2212.12474","citing_paper":"/paper/2605.21041"},"observation_digest":"sha256:91c1d430d0a4bc64595932c4899fa27524946c06e34f850f74572cdd9988f42d","observation_id":"45e8d0f6-5df5-49d8-a5c7-af83b581cca2","resolution":{"observed_at":"2026-05-21T02:09:24.502942Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2212.12474","last_updated":"2024-04-28T15:57:36Z","snapshot_observed_at":"2026-08-16T16:06:18.648633Z","submitted_at":"2022-12-23T17:02:59Z","title":"Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers","version":6},"cited_work":{"arxiv_id":"2212.12474","doi":"10.48550/arxiv.2212.12474","metadata_source":"pith","pith_arxiv_id":"2212.12474","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Physics-informed Gaussian process regression generalizes linear PDE solvers","venue":"cs.LG","work_id":"b8cf86f4-1b61-4410-8af4-10d76f00210d","year":2022},"citing_paper":{"arxiv_id":"2606.00274","last_updated":"2026-06-11T12:56:44Z","snapshot_observed_at":"2026-08-09T17:28:45.816973Z","submitted_at":"2026-05-29T19:07:50Z","title":"Error bounds for approximate posteriors from likelihood-informed reduced-order models","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-06-28T21:07:34.665517Z"},"links":{"cited_paper":"/paper/2212.12474","citing_paper":"/paper/2606.00274"},"observation_digest":"sha256:bd1a84d19ef4aa4096c56ecad27b8c3450836de88641018eecbdc3f32e7a008b","observation_id":"edb2cd9d-0205-44c4-8bfd-189f368096ad","resolution":{"observed_at":"2026-06-28T21:12:37.894621Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2212.12474","last_updated":"2024-04-28T15:57:36Z","snapshot_observed_at":"2026-08-16T16:06:18.648633Z","submitted_at":"2022-12-23T17:02:59Z","title":"Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers","version":6},"cited_work":{"arxiv_id":"2212.12474","doi":"10.48550/arxiv.2212.12474","metadata_source":"pith","pith_arxiv_id":"2212.12474","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Physics-informed Gaussian process regression generalizes linear PDE solvers","venue":"cs.LG","work_id":"b8cf86f4-1b61-4410-8af4-10d76f00210d","year":2022},"citing_paper":{"arxiv_id":"2606.19303","last_updated":"2026-06-17T17:26:51Z","snapshot_observed_at":"2026-08-17T19:26:37.420521Z","submitted_at":"2026-06-17T17:26:51Z","title":"P-K-GCN: Physics-augmented Koopman-enhanced Graph Convolutional Network for Deep Spatiotemporal Super-resolution","version":1},"reference_index":78,"source":"arxiv_source","source_observed_at":"2026-06-26T20:52:42.972708Z"},"links":{"cited_paper":"/paper/2212.12474","citing_paper":"/paper/2606.19303"},"observation_digest":"sha256:3a5d3710a19a3068e6a164a578505e951551a3df60e23ee240beb81006792d4a","observation_id":"f269a37c-3c8b-45d3-8c84-0d8f8ff73b5a","resolution":{"observed_at":"2026-07-04T00:59:19.173391Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2212.12474","last_updated":"2024-04-28T15:57:36Z","snapshot_observed_at":"2026-08-16T16:06:18.648633Z","submitted_at":"2022-12-23T17:02:59Z","title":"Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers","version":6},"cited_work":{"arxiv_id":"2212.12474","doi":"10.48550/arxiv.2212.12474","metadata_source":"pith","pith_arxiv_id":"2212.12474","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Physics-informed Gaussian process regression generalizes linear PDE solvers","venue":"cs.LG","work_id":"b8cf86f4-1b61-4410-8af4-10d76f00210d","year":2022},"citing_paper":{"arxiv_id":"2607.06292","last_updated":"2026-07-07T14:00:44Z","snapshot_observed_at":"2026-08-19T01:50:43.921496Z","submitted_at":"2026-07-07T14:00:44Z","title":"A unified perspective of Gaussian process approximation for differential equations","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-08T10:54:47.376298Z"},"links":{"cited_paper":"/paper/2212.12474","citing_paper":"/paper/2607.06292"},"observation_digest":"sha256:f6b2fee25f78561fdd8634a6bf4ddd6179bf8ca7636fbd5457b490eb67d15943","observation_id":"19f23055-7e3f-4b30-8384-287a1266ac27","resolution":{"observed_at":"2026-07-08T11:04:53.560189Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2212.12474","last_updated":"2024-04-28T15:57:36Z","snapshot_observed_at":"2026-08-16T16:06:18.648633Z","submitted_at":"2022-12-23T17:02:59Z","title":"Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers","version":6},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.12474","snapshot_observed_at":"2026-07-14T09:13:45.298984Z","title":"Pf \\\"o rtner, I","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.10793","last_updated":"2026-07-12T15:01:59Z","snapshot_observed_at":"2026-08-14T14:45:31.532616Z","submitted_at":"2026-07-12T15:01:59Z","title":"Hierarchical Bayesian Quadrature","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-07-14T09:13:45.298984Z"},"links":{"cited_paper":"/paper/2212.12474","citing_paper":"/paper/2607.10793"},"observation_digest":"sha256:5b03a45b68b2d30d100bb002d8397669fe43518ccb262e1d9baa2d9a5ea1faa8","observation_id":"c6a09c5c-df9b-4c7e-804a-1c8ef531aab1","resolution":{"observed_at":"2026-07-14T09:13:45.298984Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2212.12474/citation-record","integrity":"/paper/2212.12474/integrity","json":"/paper/2212.12474/citation-record.json","paper":"/paper/2212.12474"},"outbound":[],"paper":{"arxiv_id":"2212.12474","last_updated":"2024-04-28T15:57:36Z","latest_version":6,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-16T16:06:18.648633Z","submitted_at":"2022-12-23T17:02:59Z","title":"Physics-Informed Gaussian Process Regression Generalizes Linear PDE Solvers"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"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."}