{"as_of":"2026-08-12T10:29:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:07ef0c5534e2d9f64102193fb355ca9e7dd2b05d7ca85d5cb52e0b57518bb112","coverage":[{"denominator":26,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":26,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T06:49:07.140479Z","state":"measured"},{"denominator":26,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":26,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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/2607.21794/citation-record","integrity":"/paper/2607.21794/integrity","json":"/paper/2607.21794/citation-record.json","paper":"/paper/2607.21794"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T06:49:03.596063Z","title":"Control barrier functions: theory and applications,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:03.596063Z"},"links":{"citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:486c93e45a9259f8126e6d3886337588d3551c62a67894d74553df56e7c37d1e","observation_id":"041fd427-2f3e-4a47-acad-0774a824276f","resolution":{"observed_at":"2026-08-01T06:49:03.596063Z","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":"2026-08-01T06:49:03.751452Z","title":"Control barrier function based quadratic programs with applications to bipedal robot walking,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:03.751452Z"},"links":{"citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:6bd8f4fa233dc4207a3272c58cc123ed6e6f4dd7c5ef03d1664d984c43cf640b","observation_id":"e1f0c171-628b-4f6c-9205-7837a426d642","resolution":{"observed_at":"2026-08-01T06:49:03.751452Z","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":"2026-08-01T06:49:03.942560Z","title":"Robust linear design for flight con- trol systems with operational constraints,","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:03.942560Z"},"links":{"citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:8c5e775834fe74610a72173a24dd1f7945ab7f206a02ca56b548a48d3f1f0330","observation_id":"9122b634-c246-49ee-a769-569c320234d0","resolution":{"observed_at":"2026-08-01T06:49:03.942560Z","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":"2026-08-01T06:49:04.073588Z","title":"Safety guardrails in the sky: realizing control barrier functions on the VISTA F-16 jet,","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:04.073588Z"},"links":{"citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:d41e3a70d5e2d4b382c6cea2ed2353670d4d6ba9903fc9de266aa9d0998aaf05","observation_id":"525e1cb0-36e8-400f-bb30-c4cf47f6536a","resolution":{"observed_at":"2026-08-01T06:49:04.073588Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.07684","last_updated":"2025-08-11T06:59:33Z","snapshot_observed_at":"2026-08-08T02:50:05.689073Z","submitted_at":"2025-08-11T06:59:33Z","title":"When are safety filters safe? On minimum phase conditions of control barrier functions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.07684","snapshot_observed_at":"2026-08-01T06:49:04.198548Z","title":"When are safety filters safe? on minimum phase conditions of control barrier functions,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:04.198548Z"},"links":{"cited_paper":"/paper/2508.07684","citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:07e6ef6b21ad2904d343cc6a06d2997467f4e71c5204015ad30ec1351f52ce69","observation_id":"85cf34d8-4e97-4085-82d0-6a2049102add","resolution":{"observed_at":"2026-08-01T06:49:04.198548Z","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":"2026-08-01T06:49:04.350559Z","title":"Preventing inactive CBF safety filters caused by incorrect relative degree assumptions,","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:04.350559Z"},"links":{"citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:b4214bd7874a7c1dcd5077e495e9fded46bc4e4d15286f832bff41650427aecd","observation_id":"8d12a6e8-509b-40a9-8ca7-7393cffdc430","resolution":{"observed_at":"2026-08-01T06:49:04.350559Z","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":"2026-08-01T06:49:04.489634Z","title":"High-order control barrier functions: safety can lead to instability,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:04.489634Z"},"links":{"citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:653daa4b39a7ee15a0801e1a0da534c575f7952ccb0600090c25cdcc2ed7022a","observation_id":"cca38d17-47c4-496e-8cce-5dadc8ec06bc","resolution":{"observed_at":"2026-08-01T06:49:04.489634Z","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":"2026-08-01T06:49:04.667557Z","title":"Control barrier function-based safety filters: characterization of undesired equilibria, unbounded trajectories, and limit cycles,","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:04.667557Z"},"links":{"citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:d39041aa3a18d235fef9d3679057a0bec0584c3c72db4b674f179a668b3c8155","observation_id":"161f70b5-6145-431a-bf07-f71acbb2c651","resolution":{"observed_at":"2026-08-01T06:49:04.667557Z","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":"2026-08-01T06:49:04.866961Z","title":"Dynamical properties of safety filters for linear systems and affine control barrier functions,","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:04.866961Z"},"links":{"citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:fe25521ee44bb887533eeea604a0f8b6c69566126361aa1541d8f7c5064afbcc","observation_id":"cdeffbde-c02f-46e7-82f8-c7384ec93cb3","resolution":{"observed_at":"2026-08-01T06:49:04.866961Z","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":"2026-08-01T06:49:05.021029Z","title":"Stability analysis in multi-constraint safety filters for linear systems,","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:05.021029Z"},"links":{"citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:a46d121000d7f3a5e3d5fc7d824684a71f39e231a80f3abd6d24ab7d017acdfa","observation_id":"63f36c7e-c858-4976-94ec-fcce8899ecb9","resolution":{"observed_at":"2026-08-01T06:49:05.021029Z","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":"2026-08-01T06:49:05.048261Z","title":"Robust and exponential stability in barrier-certified systems via contracting piecewise smooth dynamics,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:05.048261Z"},"links":{"citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:22446173c95be54a5b20d6b73fd08569aed98f6367d7da4f414d617f0025c90d","observation_id":"cd63271f-e696-4362-a820-4715ea410a6b","resolution":{"observed_at":"2026-08-01T06:49:05.048261Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2604.04234","last_updated":"2026-04-05T19:35:27Z","snapshot_observed_at":"2026-08-05T20:37:34.476444Z","submitted_at":"2026-04-05T19:35:27Z","title":"Stability Margins of CBF-QP Safety Filters: Analysis and Synthesis","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.04234","snapshot_observed_at":"2026-08-01T06:49:05.093806Z","title":"Stability margins in CBF-QP safety filters: analysis and synthesis,","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:05.093806Z"},"links":{"cited_paper":"/paper/2604.04234","citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:d2ffb00bc6cb3b73746322e41875e2ccc6823b05445a887c7a4bf32116572184","observation_id":"c268858d-119b-4e6c-8645-4beb2b3da334","resolution":{"observed_at":"2026-08-01T06:49:05.093806Z","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":"2026-08-01T06:49:05.254678Z","title":"Isidori,Nonlinear Control Systems, 3rd ed., ser","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:05.254678Z"},"links":{"citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:a7cf34d1f0d9aa7ad5fdad9e70791b7e76f4719427a4724f91c9e529eb66be6c","observation_id":"90d6cee6-abed-4915-a847-718b9c1a5bfc","resolution":{"observed_at":"2026-08-01T06:49:05.254678Z","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":"2026-08-01T06:49:05.414099Z","title":"High-order control barrier functions,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:05.414099Z"},"links":{"citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:3039958266708a30a209aef5c890ace351e2a87ee8981ed51a0096910dffa71b","observation_id":"6161add7-35de-4526-ac50-d8bd8301ee4b","resolution":{"observed_at":"2026-08-01T06:49:05.414099Z","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":"2026-08-01T06:49:05.568180Z","title":"Control barrier function- based quadratic programs introduce undesirable asymptotically stable equilibria,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:05.568180Z"},"links":{"citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:18575f04a04de5d8d49f2f0865908b1d43ee6785b15be19f4ed5c848361782bf","observation_id":"d05d4823-d3a1-4ad7-878a-4ffc7408513d","resolution":{"observed_at":"2026-08-01T06:49:05.568180Z","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":"2026-08-01T06:49:05.673225Z","title":"High-order barrier functions: robustness, safety and performance-critical control,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:05.673225Z"},"links":{"citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:9c24a82c5238caec7fc454f85cef3d0dcbbc24181303890f78b9d739defc8f93","observation_id":"259e1349-662f-4c24-8b46-4ee25e727432","resolution":{"observed_at":"2026-08-01T06:49:05.673225Z","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":"2026-08-01T06:49:05.834166Z","title":"Input-to-state safety with control barrier functions,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:05.834166Z"},"links":{"citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:d3b43c813fc2d2252fe284c6ee92fa739a0155526a8efa81a8d83ac57e2df134","observation_id":"7bf8a9b1-fc99-4715-9f72-3b3fc3c9eaed","resolution":{"observed_at":"2026-08-01T06:49:05.834166Z","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":"2026-08-01T06:49:06.001535Z","title":"Skogestad and I","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:06.001535Z"},"links":{"citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:9e9eabd16621bddb3860e7eb066bfb081eb165c86045898b78d2d888b2923334","observation_id":"2ce93c02-fd74-48d2-9900-f0e22a066b4d","resolution":{"observed_at":"2026-08-01T06:49:06.001535Z","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":"2026-08-01T06:49:06.167493Z","title":"Robustness results in linear-quadratic Gaussian based multivariable control designs,","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:06.167493Z"},"links":{"citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:602bce37d982ed6d79b573df94b2ff06ef9bb393e821584130c5139a3a7c10ea","observation_id":"82359416-1e80-49d7-8df7-8678a1f863e7","resolution":{"observed_at":"2026-08-01T06:49:06.167493Z","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":"2026-08-01T06:49:06.311916Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:06.311916Z"},"links":{"citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:e78c452229b1e6030eed325446935f2b58e24d109ec7108a37e956d854a3d5d5","observation_id":"93f23f36-b4b3-4e0b-9f8f-cbca81713f6f","resolution":{"observed_at":"2026-08-01T06:49:06.311916Z","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":"2026-08-01T06:49:06.469753Z","title":"Controllability and stabilizability of a class of continuous piecewise affine dynamical systems,","venue":null,"work_id":null,"year":1914},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:06.469753Z"},"links":{"citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:21a13cf846e11332567e80e548f69eb0d4d1aac616d16f6186323d7a0ef56a50","observation_id":"744b64cf-f2fb-4d80-b463-a6124118e0d2","resolution":{"observed_at":"2026-08-01T06:49:06.469753Z","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":"2026-08-01T06:49:06.608437Z","title":null,"venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:06.608437Z"},"links":{"citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:3f463bd87abf3c947ac98e06237ccc023e4b7189d33ea6c9b4d47cf16dcf2f21","observation_id":"94c96e6b-a29c-4c07-92e4-97bcd77fc692","resolution":{"observed_at":"2026-08-01T06:49:06.608437Z","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":"2026-08-01T06:49:06.724532Z","title":null,"venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:06.724532Z"},"links":{"citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:b80ccd6df2e23ce9eb1e3c2f05e9f51a4884edbbeedbaac21554555d83f2df45","observation_id":"5fd753e0-4fe3-4ecf-876c-41fccaf2b8ba","resolution":{"observed_at":"2026-08-01T06:49:06.724532Z","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":"2026-08-01T06:49:06.877600Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:06.877600Z"},"links":{"citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:6871b7c63b55d9a79527d9dd9dcbfd350d06709513ae8f7daf16fc21f26d95e7","observation_id":"6c1617d4-1fb9-4938-8d6d-daf1002b2728","resolution":{"observed_at":"2026-08-01T06:49:06.877600Z","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":"2026-08-01T06:49:06.994174Z","title":"Lavretsky and K","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:06.994174Z"},"links":{"citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:66d6fbe9ed9a5b97d404638796ccebac91d4c3e7fe4d80bc8c2f9f6bab0086e6","observation_id":"a53d3f83-20e0-4995-a60c-156f5f23f42f","resolution":{"observed_at":"2026-08-01T06:49:06.994174Z","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":"2026-08-01T06:49:07.140479Z","title":"Explicit control barrier function-based safety filters and their resource-aware computation,","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-01T06:49:07.140479Z"},"links":{"citing_paper":"/paper/2607.21794"},"observation_digest":"sha256:8ee4ddc9f65c7784231727056e81459b088bb1a3134e473c84054ec46b2aeb31","observation_id":"de0415ee-dc6a-4e5b-a358-dc3c1491e108","resolution":{"observed_at":"2026-08-01T06:49:07.140479Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.21794","last_updated":"2026-07-23T20:21:17Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-10T17:20:30.982574Z","submitted_at":"2026-07-23T20:21:17Z","title":"Safe Stabilizing Linear Feedback: Necessary and Sufficient Conditions, Optimality, and Margins"},"reference_resolution":{"displayed":26,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":26,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":26},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2607.21794."}