{"as_of":"2026-08-08T03:34:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:78b72faf35d26b716866612ab97d339d6c7aa9801f040bd7950a1fd6d0c38e5d","coverage":[{"denominator":60,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":60,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T11:00:28.876656Z","state":"measured"},{"denominator":61,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":61,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-08T10:39:28.215469Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-11T19:56:09.153859Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"cited_work":{"arxiv_id":"2507.23280","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.23280","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv:2507.23280 , year=","venue":null,"work_id":"0fe4de29-c762-437e-84a6-264f0c7c097d","year":null},"citing_paper":{"arxiv_id":"2605.06087","last_updated":"2026-05-07T12:10:07Z","snapshot_observed_at":"2026-07-06T23:18:36.537416Z","submitted_at":"2026-05-07T12:10:07Z","title":"Safety Certification is Classification","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-05-08T10:39:28.215469Z"},"links":{"cited_paper":"/paper/2507.23280","citing_paper":"/paper/2605.06087"},"observation_digest":"sha256:f9f44a6b7283d8b52b19fc02436f944ae48b6615d07607e006261302b68f07cc","observation_id":"a5076866-32d9-4aec-8273-0bda6db2c5cb","resolution":{"observed_at":"2026-06-03T02:05:09.568341Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2507.23280/citation-record","integrity":"/paper/2507.23280/integrity","json":"/paper/2507.23280/citation-record.json","paper":"/paper/2507.23280"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:28.677426Z","title":"Analysis and design of safety- critical, cyber-physical systems,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.677426Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:19aa11aaae2b1dd06ff511ab435fbf03a4c0673828845c3281e2997ff891dcae","observation_id":"968beb6a-668a-47b4-ab5c-d3ad54c2e8e5","resolution":{"observed_at":"2026-08-06T11:00:28.677426Z","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":"2026-08-06T11:00:28.681326Z","title":"From model-based control to data-driven control: Survey, classification and perspective,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.681326Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:1db7270e7bb7ccc2c9499dd0e04bbbfb7bab8be8384f328b40f181485d40d500","observation_id":"9b249c1f-9f72-4935-ad08-1d6c945e9879","resolution":{"observed_at":"2026-08-06T11:00:28.681326Z","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":"2026-08-06T11:00:28.685119Z","title":"Bridging direct and indirect data-driven control formulations via regularizations and relaxations,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.685119Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:80aa9e563bba18be4779d7b4bb8bcd39d2c419945b100bf58abf39233e668297","observation_id":"c0313652-d1c5-47a0-9662-a8e3b3b3616a","resolution":{"observed_at":"2026-08-06T11:00:28.685119Z","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":"2026-08-06T11:00:28.689379Z","title":"Guarantees for data-driven control of nonlinear systems using semidefinite programming: A survey,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.689379Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:6557c2658e30f272051b1d8812295f9a32ca7b952f6812c85be068b5cc40df22","observation_id":"a3f385c9-e09c-4ac5-b8ab-94ad4f32567e","resolution":{"observed_at":"2026-08-06T11:00:28.689379Z","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":"2026-08-06T11:00:28.692906Z","title":"Behavioral systems theory in data-driven analysis, signal processing, and control,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.692906Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:a98fffca2e20ee06a99451e6b18100e906edbc9dd5c2c357e8b47635d21b774c","observation_id":"08ebe872-aa76-4428-b522-6bf2f2d2b0d1","resolution":{"observed_at":"2026-08-06T11:00:28.692906Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.533058Z","title":"Model-based reinforcement learning: A survey,","venue":null,"work_id":"effab65a-2da9-4750-97f4-012489607167","year":2023},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.696282Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:5fa37ab1809d663c7a96f4ef406078d404a43aacb73d7c2aa5fc3c17ed027f4b","observation_id":"4fe3134f-e02f-4bf1-8443-1b0fad6f514a","resolution":{"observed_at":"2026-08-06T11:00:29.536595Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.522853Z","title":"Gaussian processes for machine learning,","venue":null,"work_id":"e5b85f1f-b655-4539-8401-0b8ad13bdcc3","year":2004},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.700043Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:733c27774a22d0c0b8eb586abed49a4427ea8413dc7d6c2571b8b429aabce8f3","observation_id":"e658f6c5-87e0-400a-a790-3dc19fb8bfb5","resolution":{"observed_at":"2026-08-06T11:00:29.526182Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.512762Z","title":"Uniform error bounds for gaussian process regression with application to safe control,","venue":null,"work_id":"914dd692-2a4b-4f09-a08f-6d103b008326","year":2019},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.703242Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:79cde797da119a948960ce485492dcf8af5fbdbcdf7e31c2b60655bc18e4eda9","observation_id":"de778ab3-9ad0-46a6-b603-348ad9167488","resolution":{"observed_at":"2026-08-06T11:00:29.516165Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.502762Z","title":"Model-free reinforcement learning from expert demonstrations: a survey,","venue":null,"work_id":"00e300c8-eb20-4f8f-8af9-c463ff407d05","year":2022},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.706459Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:7a521f6c70bce158d886fd9168f174b85c86b34867648cbcc20a6f8c48d94236","observation_id":"85fa92e9-c370-4c02-8f20-f47fac100ba8","resolution":{"observed_at":"2026-08-06T11:00:29.506156Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.492316Z","title":"Iterative feedback tuning: theory and applications,","venue":null,"work_id":"3540a297-e7bc-443f-9ae4-678b932c1e6b","year":1998},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.709589Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:544711f272f0a501544920037b1d976c2a2aaba24a73be2ad6763a189003cf2a","observation_id":"853d6ea7-8f1a-40ef-8fe2-bd1e6d2a9929","resolution":{"observed_at":"2026-08-06T11:00:29.495915Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.482285Z","title":"Virtual reference feed- back tuning: a direct method for the design of feedback controllers,","venue":null,"work_id":"65855803-8044-462c-b7ea-578f7882fda4","year":2002},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.712661Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:13835309d1510dc0f7336d901f4781b91731110924731389c0b5f830c9842d7c","observation_id":"9214c714-344b-41a7-9c0e-80423ca528ab","resolution":{"observed_at":"2026-08-06T11:00:29.485812Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T11:00:28.716201Z","title":"The scenario approach to robust control design,","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.716201Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:1b003f2f3585e26963918c2d3059a9d55cd4648aaaf7d2fc347efa1088ab6d99","observation_id":"d3c08581-c032-402a-90dd-a0f49dc59289","resolution":{"observed_at":"2026-08-06T11:00:28.716201Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.368697Z","title":"The scenario approach for DA T A-DRIVEN STOCHASTIC CONTROL: FOUNDA TIONS AND GUARANTEES 11 systems and control design,","venue":null,"work_id":"0a5169e8-8120-459c-97ab-71c1d5b67725","year":2009},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.719405Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:829c7403d3bb1317dc9b554e48ff6661a6b5192697b287b4632cccceb7f1559f","observation_id":"652491cb-cd0b-4c78-8666-49e9d42e846c","resolution":{"observed_at":"2026-08-06T11:00:29.372731Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T11:00:28.722616Z","title":"Formulas for data-driven control: Stabilization, optimality, and robustness,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.722616Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:8ea0d763c408c347dba4a658e778df25f2606eab16a4bd73de8e3a7ff65b4079","observation_id":"06668a6b-c2bc-4f8c-859d-169973130ed3","resolution":{"observed_at":"2026-08-06T11:00:28.722616Z","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":"2026-08-06T11:00:28.725805Z","title":"From noisy data to feedback controllers: Nonconservative design via a matrix S-lemma,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.725805Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:6a1323ca56589bb50a74afa370a9751ac55bb7f4ea999ed07fa9e5bfdcc24747","observation_id":"6bd7fd5a-fbfa-4b14-81e0-e6f12fb7d4e8","resolution":{"observed_at":"2026-08-06T11:00:28.725805Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.09131","last_updated":"2026-05-02T18:52:44Z","snapshot_observed_at":"2026-07-31T11:56:11.745484Z","submitted_at":"2025-02-13T10:09:30Z","title":"A Stochastic Fundamental Lemma with Reduced Disturbance Data Requirements","version":2},"cited_work":{"arxiv_id":"2502.09131","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.09131","snapshot_observed_at":"2026-08-06T11:00:28.959210Z","title":"A Stochastic Fundamental Lemma with Reduced Disturbance Data Requirements","venue":"eess.SY","work_id":"f7b19951-d3a6-44d2-a6a5-3318a8c1a52d","year":2025},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.729144Z"},"links":{"cited_paper":"/paper/2502.09131","citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:a8f2541910713168cfe63a4cdcc95ad9baf78bd851827c171db5f3c5074893e5","observation_id":"88d60a68-9cb3-48bc-99de-4303b590a83d","resolution":{"observed_at":"2026-08-06T11:00:28.962918Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.344791Z","title":"Data-driven control of nonlinear systems: An on-line direct approach,","venue":null,"work_id":"09074dab-cf5e-49a0-88c9-b0fb7ab96f5f","year":2017},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.732884Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:8bc3d827e01a06768876329d57854a8e03f2b383bb6a46d3264256f4a7c0d0d1","observation_id":"40b6f9ed-2daa-4cf5-8129-36d48e706521","resolution":{"observed_at":"2026-08-06T11:00:29.348822Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T11:00:28.736191Z","title":"Performance bounds for the scenario approach and an extension to a class of non-convex programs,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.736191Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:2285352039525dbe69171e4828bec767b347549b9d6aefea493296480e9709b7","observation_id":"3bf4c82e-4590-4397-b330-96709a8ecd9b","resolution":{"observed_at":"2026-08-06T11:00:28.736191Z","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":"2026-08-06T11:00:28.739369Z","title":"On the road between robust optimization and the scenario approach for chance constrained optimiza- tion problems,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.739369Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:2bb48b47f83b83f83a3f280173161c46ec5508e42db7ade96bce1632aac8b3af","observation_id":"b6ce9182-01a6-445d-8045-6d09b8d1172b","resolution":{"observed_at":"2026-08-06T11:00:28.739369Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.320508Z","title":"Data-driven control of large-scale networks with formal guarantees: A small-gain-free approach,","venue":null,"work_id":"3b9acf3b-a012-421f-93e1-bfe962f00fa4","year":2026},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.743209Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:154c90ea91cb67896036daead86fdab2f0c18d7a8882883a6d1d5fdf999ba8a5","observation_id":"37fce8ad-31e0-457e-abe5-bd8848adcc79","resolution":{"observed_at":"2026-08-06T11:00:29.324325Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.307341Z","title":"Data-driven safety certificates of infinite networks with unknown models and interconnection topologies,","venue":null,"work_id":"d5fa129d-6f14-4961-8032-b49d9e862221","year":2026},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.746520Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:4ed73e95c2a0d98f67fedf3d031b0d3ab8f55752a1a4a37dfc3005da222dd0f7","observation_id":"a38985a2-9f79-4e82-a0f3-13175700fc84","resolution":{"observed_at":"2026-08-06T11:00:29.312102Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.295744Z","title":"Data-driven model predictive control with stability and robustness guarantees,","venue":null,"work_id":"8c4a98db-3031-47ad-9cd7-56ac60174a96","year":2020},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.749614Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:303f0c78fbc2071857fbbe7d863b1e35397be47a89d7346fd860320c5c51777e","observation_id":"34624cc6-ccd4-455a-b63c-c9fb275bc2ae","resolution":{"observed_at":"2026-08-06T11:00:29.299709Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.10064","last_updated":"2025-08-08T12:05:05Z","snapshot_observed_at":"2026-08-07T20:24:46.795777Z","submitted_at":"2024-05-16T12:54:17Z","title":"A Versatile Framework for Data-Driven Control of Nonlinear Systems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.10064","snapshot_observed_at":"2026-08-06T11:00:28.752991Z","title":"Meta results on data-driven control of nonlinear systems,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.752991Z"},"links":{"cited_paper":"/paper/2405.10064","citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:242e42e7ecb54b73b81fb2309dfb2fba93cc01ef64e52b3b9a749ade81522b3c","observation_id":"334f0ecf-09cc-406b-b357-fc76c8dd5ca8","resolution":{"observed_at":"2026-08-06T11:00:28.752991Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.01315","last_updated":"2026-06-01T06:40:20Z","snapshot_observed_at":"2026-08-06T10:07:39.360871Z","submitted_at":"2025-08-02T11:07:43Z","title":"Data-Efficient Control of Polynomial Systems via Physics-Guided Quadratic Constraints","version":2},"cited_work":{"arxiv_id":"2508.01315","doi":null,"metadata_source":"pith","pith_arxiv_id":"2508.01315","snapshot_observed_at":"2026-08-06T11:00:28.935149Z","title":"Data-Efficient Control of Polynomial Systems via Physics-Guided Quadratic Constraints","venue":"eess.SY","work_id":"db5d8c0f-b740-49b7-a3c1-0a12cd57b27a","year":2025},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.756595Z"},"links":{"cited_paper":"/paper/2508.01315","citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:963a3afca9ba05c624025d53cea22baca9d4fe04b122e68ede61fdc0db95d7fa","observation_id":"96b46b6b-09e5-42c1-8eb3-2ac058c5d5ab","resolution":{"observed_at":"2026-08-06T11:00:28.939434Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T11:00:28.760206Z","title":"A note on persistency of excitation,","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.760206Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:bad6852c6e1c127eaacdf5308fba25d318eaac273b5f28beb8294324a184d573","observation_id":"4a7ced62-2003-4908-85da-00fac8acc793","resolution":{"observed_at":"2026-08-06T11:00:28.760206Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.278150Z","title":"Gaussian inference for data- driven state-feedback design of nonlinear systems,","venue":null,"work_id":"3cfa4a78-22aa-4be5-bf9c-c263e39e2206","year":2023},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.763402Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:073badf278c13ff0d59ebd22cf2dacf10137397e96aebdfd9e8d5c0fddb49d6d","observation_id":"cad9b3ea-36db-402e-974d-4851b0b848d1","resolution":{"observed_at":"2026-08-06T11:00:29.282353Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.267021Z","title":"Safety verification of hybrid systems using barrier certificates,","venue":null,"work_id":"2f51631f-ae48-4643-84a3-c0c2faf55ba3","year":2004},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.766539Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:d8df86765a4c2cd26bf3304988be9070a08eed9da5fd8655d6c1af52376a529d","observation_id":"b438ecbe-5b61-46f6-ad9b-7a800db9a71d","resolution":{"observed_at":"2026-08-06T11:00:29.270693Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T11:00:28.769831Z","title":"A framework for worst- case and stochastic safety verification using barrier certificates,","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.769831Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:9727a7eb3b4052f95bd00f4532105900da1c43af42e065f33547b5b6eff7be10","observation_id":"aea5ff05-ca3a-4d08-9d2d-076c25962727","resolution":{"observed_at":"2026-08-06T11:00:28.769831Z","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":"2026-08-06T11:00:28.773199Z","title":"Constructive safety using control barrier functions,","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.773199Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:3fad7be1ac53d4091dd7676528a4d6145cdaec250d0302d05bc796b92c575188","observation_id":"0ec54ed1-74df-4a0c-926e-8ff96b2bc500","resolution":{"observed_at":"2026-08-06T11:00:28.773199Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.244908Z","title":"Control barrier functions: Theory and applications,","venue":null,"work_id":"62c4df4e-4c86-43a9-8f96-21fc37bd8677","year":2019},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.776439Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:0ee66fc5ecb7086b808866bf583b553abdb804bb188abe1757792970d9ed967d","observation_id":"ecfa6676-76f0-4910-af45-c0de08a53052","resolution":{"observed_at":"2026-08-06T11:00:29.248535Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.233527Z","title":null,"venue":null,"work_id":"32d127f6-4be8-4576-8272-a1a65f92197a","year":2023},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.779517Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:35b250d6b33b928c1f29cc4d0ef3b57bb81bbb14a57e0af76950340f28fe7b30","observation_id":"843ab5dc-18b7-4e30-afb3-1ee0aa7556a1","resolution":{"observed_at":"2026-08-06T11:00:29.237011Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T11:00:28.782545Z","title":"Control barrier function based quadratic programs for safety critical systems,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.782545Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:aca49306041196c1ec4bd625bca33de233e0241780a99929eca4cf694613e7c8","observation_id":"aafcdc54-dc08-4578-8d0e-433f6efce13d","resolution":{"observed_at":"2026-08-06T11:00:28.782545Z","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":"2026-08-06T11:00:28.785681Z","title":"Control barrier functions for complete and incomplete in- formation stochastic systems,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.785681Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:e27611260c601039a47f1dccb5faf267db517a7c4fd7d2308e81e2a4eed20d58","observation_id":"2844085b-f226-4b5f-90e3-7af95a13eee7","resolution":{"observed_at":"2026-08-06T11:00:28.785681Z","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":"2026-08-06T11:00:28.788818Z","title":"A barrier function approach to finite-time stochastic system verification and control,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.788818Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:91af0f278e19a4de27a96bdca058bdb5993d1f6c389c69ee5d5863b5b3c71003","observation_id":"fc0e8131-3f37-42aa-8048-bfef5c4c7cfa","resolution":{"observed_at":"2026-08-06T11:00:28.788818Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.204835Z","title":"Multi-Robot Collision Avoidance under Uncertainty with Probabilistic Safety Barrier Certificates,","venue":null,"work_id":"f0c159df-d27c-4889-aec4-864dcca8f934","year":2020},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.791726Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:e0dec3dd71fb28a6fe6770fe3b8b7ead0adbdab64c7f7c120f93cb422a41d128","observation_id":"916aaf7c-a1a9-456c-b78b-cb25a326a77a","resolution":{"observed_at":"2026-08-06T11:00:29.208524Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T11:00:28.795057Z","title":"Scalable synthesis of safety barrier certifi- cates for networks of stochastic switched systems,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.795057Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:148469f6279120095b7119a65026d465c9f3093fde5268bc657ce5a2e5331a79","observation_id":"a6174984-075f-4215-bc99-26b67c0195d3","resolution":{"observed_at":"2026-08-06T11:00:28.795057Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.188026Z","title":"Context-triggered games for reactive synthesis over stochastic systems via control barrier certificates,","venue":null,"work_id":"f11f5292-c688-4df8-b0a0-2d56475a3801","year":2024},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.798111Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:996738b6c536312edf99794166acba0ce8a3f2c4d8f4398c3a8a6ffb0db465f2","observation_id":"3b73e9bd-65c0-45b7-a41e-16c43c0f75b4","resolution":{"observed_at":"2026-08-06T11:00:29.191993Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.177261Z","title":"Compositional design of safety controllers for large-scale stochastic hybrid systems,","venue":null,"work_id":"7dc043fe-16a6-401b-b580-48219fb08bb0","year":2026},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.801412Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:44e2c6aca93e4ff214fa4e3fcf61a4ee12bc7a2dbe46f315c708d82c820be546","observation_id":"4bb0e5d6-89f8-48a5-a28a-7a64ad733a4f","resolution":{"observed_at":"2026-08-06T11:00:29.181167Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.165681Z","title":"Data-driven con- troller synthesis of unknown nonlinear polynomial systems via control barrier certificates,","venue":null,"work_id":"4402639b-a25d-4196-8160-472f47dcf11c","year":2022},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.804796Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:e23f72437a5bd8a984b6b26c95064f8194d6a7923d21d1ad97255b03c9dd9982","observation_id":"cee484c6-bd79-4eaa-913d-19d6f1a42613","resolution":{"observed_at":"2026-08-06T11:00:29.169907Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T11:00:28.808043Z","title":"From a single trajectory to safety controller synthesis of discrete-time nonlinear poly- nomial systems,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.808043Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:e94b173cc17d30778b989d0df68b0249c1804e99bc3d35293e4a1fc572b7d7c4","observation_id":"94578a7b-ecb4-4813-a199-feaeb4ae93c0","resolution":{"observed_at":"2026-08-06T11:00:28.808043Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.148179Z","title":"From formal meth- ods to data-driven safety certificates of unknown large-scale networks,","venue":null,"work_id":"899819d6-fe86-4076-94d3-efe715f8e0dd","year":2025},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.811086Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:9f7e909a30eaf9c92f40973454bec9fdd785be9e42dcbce5b38d5123fe1b6238","observation_id":"b9b7c845-8f87-4ada-992a-7e9829e4c9d6","resolution":{"observed_at":"2026-08-06T11:00:29.151998Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.137235Z","title":"Controller design for robust invariance from noisy data,","venue":null,"work_id":"61774491-fc81-46ab-ae63-14bfe1460a3f","year":2022},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.814229Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:27e810350e87ffb33bcffded39d5e770809a40feca433b781f6610f484014253","observation_id":"c48824ec-cc34-4823-b28c-6ea755ebec8e","resolution":{"observed_at":"2026-08-06T11:00:29.141355Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.126420Z","title":"Data-based guarantees of set invariance properties,","venue":null,"work_id":"cb33fe99-7daa-499b-ba93-bd7198672fec","year":2020},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.817367Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:48bf089c47c0513d31f22d2593acbc2b5945381e131eddea8383e51094791790","observation_id":"f1eab31b-e2c3-45c1-bed1-1582fdffb72b","resolution":{"observed_at":"2026-08-06T11:00:29.130384Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T11:00:28.820978Z","title":"Data-driven design of safe control for polynomial systems,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.820978Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:9a26da5c74d40c1e63ae67c0dccab0516c57b0d3a0539655fc983b29cdc05cc1","observation_id":"d9ca9de7-8f8e-49a8-b7ee-c09eb738c6d8","resolution":{"observed_at":"2026-08-06T11:00:28.820978Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.03919","last_updated":"2025-07-20T16:21:28Z","snapshot_observed_at":"2026-07-06T20:01:59.108032Z","submitted_at":"2024-12-05T06:45:29Z","title":"Learning Robust Safety Controllers for Uncertain Input-Affine Polynomial Systems","version":2},"cited_work":{"arxiv_id":"2412.03919","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.03919","snapshot_observed_at":"2026-08-06T11:00:28.917613Z","title":"Learning Robust Safety Controllers for Uncertain Input-Affine Polynomial Systems","venue":"eess.SY","work_id":"156dcee8-3a99-40aa-8909-ef26d97e786f","year":2024},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.824178Z"},"links":{"cited_paper":"/paper/2412.03919","citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:5334d656547d509dcb8f68c15f611ff2b8d65887f07cdbcb26e0ac9d131c9c91","observation_id":"b399fbf4-473c-4d1c-bdcf-9c66a217beac","resolution":{"observed_at":"2026-08-06T11:00:28.923620Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T11:00:28.827714Z","title":"Automated verifica- tion and synthesis of stochastic hybrid systems: A survey,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.827714Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:d6f29a5867960dd4db394ce179f4b8ac10e3d84f45cf55c942861d81ede53c1a","observation_id":"684464cb-248c-4a55-be4d-b5176ada8543","resolution":{"observed_at":"2026-08-06T11:00:28.827714Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.095675Z","title":null,"venue":null,"work_id":"77760398-eb3b-4fb9-af64-f8a7075b5ee1","year":1967},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.831070Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:a03a2c161c976fdcbcb8e271be5eb0fddbdfc6f09eb988e7bef3c699eda8e8cf","observation_id":"8597f283-bbbb-4792-a801-733a550ed4f7","resolution":{"observed_at":"2026-08-06T11:00:29.099562Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.085268Z","title":"From small-gain theory to com- positional construction of barrier certificates for large-scale stochastic systems,","venue":null,"work_id":"f4b0c7fc-2863-4bcc-abb5-a43424ab99e3","year":2022},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.834233Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:3d19cd04dda258ae14271cdf5fc861bc8fccd737e46e6150846ccda6bb87736a","observation_id":"222d3f66-47e5-4e2e-bc7a-4bc19dd108c5","resolution":{"observed_at":"2026-08-06T11:00:29.089031Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.074522Z","title":"Data-driven verification and synthesis of stochastic systems via barrier certificates,","venue":null,"work_id":"8adddafb-5f56-42ba-9ef6-069279504bb5","year":2024},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.837586Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:701800094396d985541d9f955bf41f25f4e913bff116d579c7c2884e140cf33e","observation_id":"9c7189db-0797-4519-ae40-ce956efc67e4","resolution":{"observed_at":"2026-08-06T11:00:29.078172Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.063875Z","title":"Data-driven control of nonlinear systems from input-output data,","venue":null,"work_id":"780cf57b-de68-45fd-b42f-df6f7daa9683","year":2023},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.840838Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:5bca61620a1bd65266152c40ddf06535c2dc98a88ad4c631e29a6896c799fb70","observation_id":"2df37e36-0153-4293-ad06-35f4c5cca1a7","resolution":{"observed_at":"2026-08-06T11:00:29.067683Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.053212Z","title":"An introduction to matrix concentration inequalities,","venue":null,"work_id":"b2688dac-d684-45d1-9af4-76f9e0ff43de","year":2015},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.844091Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:5679e49af697e17e3938b2f66d5a9453f44b2e4b1d661615256f08084a7937b8","observation_id":"e8ba91ca-7d3a-473c-bbfd-975372fb8c5f","resolution":{"observed_at":"2026-08-06T11:00:29.057113Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T11:00:28.847396Z","title":"SOS- TOOLS: Control applications and new developments,","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.847396Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:8a798f2e5faf31c4902338f1ab427876c3ce865612bcd1bf3b6492aa61555ba1","observation_id":"327e769c-4de3-44c3-9fb8-f3dc9825cfe1","resolution":{"observed_at":"2026-08-06T11:00:28.847396Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.035875Z","title":null,"venue":null,"work_id":"7e8f4092-ceac-4be3-9d86-7b67db2c7335","year":2018},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.850765Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:6561e3792aad2aa767360da235082eb218392036997b04ca768446b72cbe7f47","observation_id":"7d10fd68-823a-4c41-814e-3bba76ad3e1d","resolution":{"observed_at":"2026-08-06T11:00:29.039360Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.024910Z","title":null,"venue":null,"work_id":"498fa627-d502-432c-bf92-65585bc12ea9","year":2002},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.853796Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:a9a0c774cc0f2a1b50dbb1598b1f14c955877fc2fc84fc6f84d608e6dfa1a1b0","observation_id":"b94ebfbd-b75c-4e2c-9055-c67a6a6adc51","resolution":{"observed_at":"2026-08-06T11:00:29.028658Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.012647Z","title":"Chebyshev’s approximation algorithms and applica- tions,","venue":null,"work_id":"3ecb7970-d7b7-44de-b412-9e28bfa6ec84","year":2001},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.857211Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:3e722e8f8d1b0b2e1bf76434f708db663512de70ffcf22cbefe6a2e441a44124","observation_id":"b0447d02-e65c-448a-9d8d-d70d1e67b9e6","resolution":{"observed_at":"2026-08-06T11:00:29.017278Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:29.001221Z","title":"Billingsley,Probability and Measure, 3rd ed","venue":null,"work_id":"a4e26a08-284d-44dc-a07c-6b923c547dd3","year":1995},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.860463Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:56e47d9cac9b2fb26d21b2b008bc4bafef0db7c31cbd27ef9c283dd453743cdb","observation_id":"6409c030-6adb-4653-b204-6dfd59d77389","resolution":{"observed_at":"2026-08-06T11:00:29.005528Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:28.991121Z","title":"The matrix cookbook,","venue":null,"work_id":"9e430870-f55f-4b3a-918a-92974cec5bc9","year":2008},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.864590Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:2502723c605c0098e8a66e2de7c63c87930ddbbf2a005f0b0bc5e1bb53d6a2af","observation_id":"4aba14e1-2145-4571-a5d9-90a8249d12cb","resolution":{"observed_at":"2026-08-06T11:00:28.994444Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1903.08599","last_updated":"2024-05-22T02:53:59Z","snapshot_observed_at":"2026-07-06T07:40:34.934164Z","submitted_at":"2019-03-20T16:33:57Z","title":"LMI Properties and Applications in Systems, Stability, and Control Theory","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1903.08599","snapshot_observed_at":"2026-08-06T11:00:28.868688Z","title":"LMI properties and applications in systems, stability, and control theory,","venue":null,"work_id":null,"year":1903},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.868688Z"},"links":{"cited_paper":"/paper/1903.08599","citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:392422ab71ad88e8e5e6042e0411534b8974fb369d36f13701aae8855d987923","observation_id":"8fcd4d8c-8fef-4ecd-9a41-11613ad61957","resolution":{"observed_at":"2026-08-06T11:00:28.868688Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:28.980633Z","title":"Boole,The mathematical analysis of logic","venue":null,"work_id":"38ff0d14-ad90-4f32-8083-eb23f74b965b","year":null},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.873078Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:ddf43dca4f7646b0ae544eaeead1c9ca702b5206134ea424666c7cfa1254e07a","observation_id":"5b1f581e-3056-4404-98c2-187e5d4a77c8","resolution":{"observed_at":"2026-08-06T11:00:28.984075Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:00:28.970114Z","title":"From noisy data to feedback controllers: Nonconservative design via a matrix s-lemma,","venue":null,"work_id":"1d6d4bf3-d28a-48b3-835d-6450bb73738b","year":2022},"citing_paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-06T11:00:28.876656Z"},"links":{"citing_paper":"/paper/2507.23280"},"observation_digest":"sha256:902c2217150d2317b47b2f9e73cb6c9240ce0931df98ce7a007f364b5df54be7","observation_id":"34421e08-8c5a-484a-9e59-1212c76f2ecc","resolution":{"observed_at":"2026-08-06T11:00:28.973793Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.23280","last_updated":"2026-06-02T05:03:12Z","latest_version":2,"primary_category":"eess.SY","snapshot_observed_at":"2026-08-06T11:00:27.569195Z","submitted_at":"2025-07-31T06:35:39Z","title":"Data-Driven Stochastic Control: Foundations and Guarantees"},"reference_resolution":{"displayed":60,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":27,"verified_exact":3,"verified_fuzzy":30},"total_outbound_references":60},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 1 inbound Pith citation observation for arXiv:2507.23280."}