{"as_of":"2026-08-10T19:01:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1c2e21052ea42a0e1eb53e8e57433cd9fd041577e56b26ce6435ecf38044b346","coverage":[{"denominator":27,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":27,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T09:43:46.914005Z","state":"measured"},{"denominator":27,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":27,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2510.14479/citation-record","integrity":"/paper/2510.14479/integrity","json":"/paper/2510.14479/citation-record.json","paper":"/paper/2510.14479"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:43:43.437586Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:43.437586Z"},"links":{"citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:7a76b08178dae1063f80ecc50bf9773f70b0c9a391239a31533623aaa0b82cbd","observation_id":"b3e91dab-531e-4439-b53d-8f51dd53cee6","resolution":{"observed_at":"2026-08-04T09:43:43.437586Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10589-005-4559-5","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Computational Optimization and Applications 30(1), 45–61 (2005) https://doi.org/10.1007/s10589-005-4559-5","venue":"Computational Optimization and Applications","work_id":"cce9d200-a3f4-4fd3-bed6-a88384b70c92","year":2005},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:43.552918Z"},"links":{"citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:d1cfc83dd8a1df8b702fa8692b03b0697200cad1372f3d0e222dc6c7fa29c5eb","observation_id":"790bf60e-8201-4419-804e-a432a5d88c6c","resolution":{"observed_at":"2026-08-04T09:49:31.523267Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:43:43.664483Z","title":"Computational Science and Engineering1(1), 3 (2024) https://doi.org/10.1007/ s44207-024-00002-z","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:43.664483Z"},"links":{"citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:c47fa639fd3e77a0a6f78236f12f51a5e08f8013d8b74867858cef46ee84f811","observation_id":"0a18c170-b36d-4091-9992-d2f2f12d87d1","resolution":{"observed_at":"2026-08-04T09:43:43.664483Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.11130","last_updated":"2025-07-15T09:30:37Z","snapshot_observed_at":"2026-08-09T05:20:15.411425Z","submitted_at":"2025-07-15T09:30:37Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","version":1},"cited_work":{"arxiv_id":"2507.11130","doi":"10.48550/arxiv.2507.11130","metadata_source":"pith","pith_arxiv_id":"2507.11130","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"Adaptive Reduced Basis Trust Region Methods for Parabolic Inverse Problems","venue":"math.NA","work_id":"ea37bc5a-bef2-42ef-8e86-2639c3765df6","year":2025},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:43.853607Z"},"links":{"cited_paper":"/paper/2507.11130","citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:c2680394316b7b50da8f614337646df7890efeb0b32375ef4b54cef4ce2ff6d5","observation_id":"1edf9708-f1b7-4d6f-8edd-09a64a537e1e","resolution":{"observed_at":"2026-08-04T09:49:31.384174Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:43:43.995961Z","title":"SIAM Jour- nal on Scientific Computing42(1), 271–291 (2020) https://doi.org/10.1137/ 18M1227147","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:43.995961Z"},"links":{"citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:70adf0977f49fff8c6452ccd8a8a0dffd29962d840f438bcb80e7212c3dbcb62","observation_id":"8d098c34-7705-491c-93c4-1d1130a9401f","resolution":{"observed_at":"2026-08-04T09:43:43.995961Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:43:44.176302Z","title":"Journal of Scientific Computing75(1), 276–307 (2018) https://doi.org/10.1007/ s10915-017-0539-z","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:44.176302Z"},"links":{"citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:98f44d591d98a9e75285e6d52328f99cc4308de9592cd4eb4ff60072a1efece4","observation_id":"572f8ee3-73a2-42fb-a4fe-842e20a425a5","resolution":{"observed_at":"2026-08-04T09:43:44.176302Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s11081-018-9389-2","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Optimization and Engineering19(3), 663–695 (2018) https://doi.org/10.1007/s11081-018-9389-2 23","venue":"Optimization and Engineering","work_id":"53862312-c62b-4f43-bd17-e1a0d3e8d637","year":2018},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:44.319745Z"},"links":{"citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:11b3dd5d2e45ee8099abece62c4ded3700fba5e9848b27e7468056263576ea3e","observation_id":"0c2874b5-ea5d-45ff-a07d-c29e352cae16","resolution":{"observed_at":"2026-08-04T09:49:31.244789Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:43:44.468306Z","title":"SIAM Journal on Scientific Computing38(6), 3921–3946 (2016) https://doi.org/10.1137/16M1059898","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:44.468306Z"},"links":{"citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:174a35931574f535fc8f14cb3eb6df51c446425f9c543689e75aae49013b9edb","observation_id":"ce1a0c6a-88b2-4c59-b247-45a1d3307e51","resolution":{"observed_at":"2026-08-04T09:43:44.468306Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:43:44.585483Z","title":"SIAM Journal on Scientific Computing 39(5), 434–460 (2017) https://doi.org/10.1137/16M1081981","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:44.585483Z"},"links":{"citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:9c830401e0be84c0422a19d4e5b2f205c10a4da2a33daf07ab1acea0659b5adf","observation_id":"9a6ffba4-5776-44c9-8e05-e302ac54d953","resolution":{"observed_at":"2026-08-04T09:43:44.585483Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:43:44.712917Z","title":"ESAIM: Mathematical Modelling and Numerical Analysis55(3), 1239–1269 (2021) https://doi.org/10.1051/m2an/ 2021019","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:44.712917Z"},"links":{"citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:27f3847d6d806b896a2dcec03a98c0180c47327e9abea3371e6d4dff491c4e24","observation_id":"ea6a76b9-b2bd-43ee-b16b-bca0285af6fb","resolution":{"observed_at":"2026-08-04T09:43:44.712917Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:43:44.836080Z","title":"In: Model Reduction and Approximation: Theory and Algo- rithms, pp","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:44.836080Z"},"links":{"citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:532a21a54debc0b6651fdfb08fbe9d532707019b90d1a2e967f2187532351d0e","observation_id":"24a18561-46cd-47ef-80f9-7f5fd509ea82","resolution":{"observed_at":"2026-08-04T09:43:44.836080Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4236/ojfd.2017","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:49:30.980503Z","title":"Open Journal of Fluid Dynamics7(04), 525 (2017) https://doi.org/10.4236/ojfd.2017","venue":null,"work_id":"4439bc5e-c60a-4bbd-a9a0-63cd3363c4f7","year":2017},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:44.985134Z"},"links":{"citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:deb812350e4a6d53d93ea2cc1df031702605cc5706c360d006b4e97a74d9362e","observation_id":"435e3eff-ca97-4e55-bf07-e5491e6647fc","resolution":{"observed_at":"2026-08-04T09:49:31.084962Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:43:45.135783Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:45.135783Z"},"links":{"citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:04d1dbc97d5e460c3db6563fc2ea8c572be9896f2a4f88ea85cd0e50290d449f","observation_id":"19f48804-28d1-4c39-a87c-15ae9ce198e4","resolution":{"observed_at":"2026-08-04T09:43:45.135783Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1051/m2an:2007054","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"ESAIM: Mathematical Modelling and Numerical Analysis42, 1–23 (2008) https://doi.org/10.1051/m2an:2007054","venue":"ESAIM Mathematical Modelling and Numerical Analysis","work_id":"e6becd1e-05f7-42e7-827f-bd24573cebd4","year":2008},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:45.253953Z"},"links":{"citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:1f298c00bd4aa482f521120c42f3cac5a6fd539c85063ef916c7b7b677af6e8b","observation_id":"fc381042-21c5-4e6d-8283-523b634525eb","resolution":{"observed_at":"2026-08-04T09:49:30.957838Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:43:45.394457Z","title":"Control and Cybernetics40(4), 1109–1124 (2011)","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:45.394457Z"},"links":{"citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:7503076bb17cb46c565fa29cefabbd67480b3c84cb9e83b91dd6d2190db07c0b","observation_id":"96691a24-d56f-4552-b13e-575db6b343aa","resolution":{"observed_at":"2026-08-04T09:43:45.394457Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10589-008-9224-3","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Computational Optimization and Applications44(1), 83–115 (2009) https://doi.org/10.1007/s10589-008-9224-3","venue":"Computational Optimization and Applications","work_id":"b37cb7fe-61c4-418b-9089-31a4656353c7","year":2009},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:45.527721Z"},"links":{"citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:df966d12d35deee6507c6d432dc6ded755b257168f47db4c225a560a413c07a0","observation_id":"9db30d8d-f8c6-4807-b999-65f04a34bca7","resolution":{"observed_at":"2026-08-04T09:49:30.441047Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.12930","last_updated":"2026-05-26T10:14:47Z","snapshot_observed_at":"2026-07-06T20:08:34.216137Z","submitted_at":"2024-12-17T14:07:44Z","title":"Certified Model Predictive Control for Switched Evolution Equations using Model Order Reduction","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.12930","snapshot_observed_at":"2026-08-04T09:43:45.666725Z","title":"arXiv (2024) https://doi.org/10.48550/arXiv.2412.12930","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:45.666725Z"},"links":{"cited_paper":"/paper/2412.12930","citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:612b8c7d7ff14bea0969e5c658111fd52e48d34d1730b2af318127c8a8dd725c","observation_id":"853cf303-3a82-470b-8814-c93b1bdc4b52","resolution":{"observed_at":"2026-08-04T09:43:45.666725Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.05251","last_updated":"2025-07-07T17:58:08Z","snapshot_observed_at":"2026-08-10T09:21:43.346002Z","submitted_at":"2025-07-07T17:58:08Z","title":"Action Space Reduction Strategies for Reinforcement Learning in Autonomous Driving","version":1},"cited_work":{"arxiv_id":"2507.05251","doi":"10.48550/arxiv.2507.05251","metadata_source":"pith","pith_arxiv_id":"2507.05251","snapshot_observed_at":"2026-08-04T12:16:13.904932Z","title":"Action Space Reduction Strategies for Reinforcement Learning in Autonomous Driving","venue":"cs.RO","work_id":"b9558add-1b4a-48e5-878f-e879eda52ee7","year":2025},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:45.813958Z"},"links":{"cited_paper":"/paper/2507.05251","citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:1c0fe1adfdf528eb90e4d05b54f115d05b9d8891d3e232ae1b2046ba233bb6b2","observation_id":"d8de6b98-7696-4ccd-8a98-ed089e04fca8","resolution":{"observed_at":"2026-08-04T09:49:30.139004Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.camwa.2024.01.007","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Computers & Mathematics with Applications157, 215–234 (2024) https://doi.org/10.1016/j.camwa.2024.01.007","venue":"Computers & Mathematics with Applications","work_id":"c81c756d-4444-40d9-88b9-b04d142358dc","year":2024},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:45.934751Z"},"links":{"citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:71969622cd47ab95d813e6ee1afc992c23f1fb009e28979d82add9abbb9c3bfe","observation_id":"533c8137-1b3d-4460-9a9c-b66fea32457f","resolution":{"observed_at":"2026-08-04T09:49:29.991169Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:43:46.087891Z","title":"IEEE Robotics and Automation Letters 3(1), 328–335 (2018) https://doi.org/10.1109/LRA.2017.2743100","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:46.087891Z"},"links":{"citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:568d1b077297c369e426da936a0bb65e5eb4f1f9b0cb31e0670a60d424f3d805","observation_id":"7388d5f2-11a8-4b27-9c54-535b31bf13e5","resolution":{"observed_at":"2026-08-04T09:43:46.087891Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:43:46.224607Z","title":"17356821","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:46.224607Z"},"links":{"citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:0522481309edaa5b2afd65355a31ec42ad7f661b1d6881f5553f0b05e35d4657","observation_id":"022fbe17-d516-49bc-98c8-fb85545240df","resolution":{"observed_at":"2026-08-04T09:43:46.224607Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:43:46.329797Z","title":"Graduate Studies in Mathemat- ics, vol","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:46.329797Z"},"links":{"citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:f43798b525384837a848dc1b89f6e13bbff1e95a97decf56bfa4cdbd26a7ea18","observation_id":"e518332f-e829-4797-9b54-95c697991d4e","resolution":{"observed_at":"2026-08-04T09:43:46.329797Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:43:46.453785Z","title":"Model reduction and Approximation: Theory and Algorithms15, 65 (2017) https://doi.org/10.1137/ 1.9781611974829.ch","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:46.453785Z"},"links":{"citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:092eebb8920c5c833311b8a6ab9afbf89c2139d43a9c9a9af7353cd84446071c","observation_id":"18a0e17f-3bf6-4496-8a73-0f3bd92f4216","resolution":{"observed_at":"2026-08-04T09:43:46.453785Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:43:46.600461Z","title":"Acta numerica10, 1–102 (2001) https: //doi.org/10.1017/S0962492901000010","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:46.600461Z"},"links":{"citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:d7e68cab9bc7e02d08aafb8642f430212172c51252d11a09feda5855508a987b","observation_id":"9dc9e993-5822-4dc3-a75e-c90314a60ec0","resolution":{"observed_at":"2026-08-04T09:43:46.600461Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.16801","last_updated":"2026-05-26T10:01:45Z","snapshot_observed_at":"2026-08-05T17:10:15.733089Z","submitted_at":"2025-08-22T21:07:24Z","title":"Stabilization of Parabolic Time-Varying PDEs using Certified Reduced-Order Receding Horizon Control","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.16801","snapshot_observed_at":"2026-08-04T09:43:46.731073Z","title":"arXiv (2025) https: //doi.org/10.48550/arXiv.2508.16801","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:46.731073Z"},"links":{"cited_paper":"/paper/2508.16801","citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:ccffb65279719f99889963c053798c2c4a04f8bda3432725c375f6b7709047b3","observation_id":"bb10bf57-2b85-4604-9e77-e3290497a81d","resolution":{"observed_at":"2026-08-04T09:43:46.731073Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:43:46.812369Z","title":"SIAM Journal on Scientific Computing40(5), 3267–3292 (2018) https://doi.org/10.1137/16M1085413","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:46.812369Z"},"links":{"citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:37c043e63f9798a49adc2bc64b2488e9dbcfc5756e6b957ed4a7ef1fe607e879","observation_id":"4f1c47e0-f476-497e-9d8c-c0eb41d0a80f","resolution":{"observed_at":"2026-08-04T09:43:46.812369Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:43:46.914005Z","title":"IMA Journal of Numerical Analysis42(4), 2984–3021 (2022) https://doi.org/10.1093/imanum/ drab056 25","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-04T09:43:46.914005Z"},"links":{"citing_paper":"/paper/2510.14479"},"observation_digest":"sha256:94ef6143fab3717f0eda55b3d8108290c16d595212bf222434468e77e32c33da","observation_id":"5dd3d416-efdc-4043-9ced-efa42b45026a","resolution":{"observed_at":"2026-08-04T09:43:46.914005Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2510.14479","last_updated":"2026-06-01T09:22:06Z","latest_version":2,"primary_category":"math.OC","snapshot_observed_at":"2026-08-09T00:45:48.372979Z","submitted_at":"2025-10-16T09:23:48Z","title":"Optimality-Based Control Space Reduction for Infinite-Dimensional Control Spaces"},"reference_resolution":{"displayed":27,"state_counts":{"malformed_identifier":8,"metadata_mismatch":2,"parse_uncertain":0,"unresolved":11,"verified_exact":6,"verified_fuzzy":0},"total_outbound_references":27},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2510.14479."}