{"as_of":"2026-08-08T07:20:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:587f770e9b3ac819b0b73351ad1ed2c534b803ef48483359f1a4909f3f84d4e5","coverage":[{"denominator":24,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":24,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T17:44:05.286058Z","state":"measured"},{"denominator":24,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":24,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2507.10452/citation-record","integrity":"/paper/2507.10452/integrity","json":"/paper/2507.10452/citation-record.json","paper":"/paper/2507.10452"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:44:07.951011Z","title":null,"venue":null,"work_id":"0df809f5-b0bd-44f3-a31a-3e6d95ac2997","year":1999},"citing_paper":{"arxiv_id":"2507.10452","last_updated":"2025-07-16T02:38:14Z","snapshot_observed_at":"2026-08-07T00:00:14.014872Z","submitted_at":"2025-07-14T16:31:06Z","title":"Some remarks on gradient dominance and LQR policy optimization","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T17:44:03.516107Z"},"links":{"citing_paper":"/paper/2507.10452"},"observation_digest":"sha256:c76c5b762a3104ae9cd1c25f0d9d55701a411a1bf27eeca5a09064284ddea99c","observation_id":"32ba0e23-68d2-48f0-851e-250eb792e750","resolution":{"observed_at":"2026-08-06T17:44:07.955630Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T17:44:07.936576Z","title":null,"venue":null,"work_id":"4133d375-75eb-44eb-b2fb-6ced7ab8fdfb","year":2000},"citing_paper":{"arxiv_id":"2507.10452","last_updated":"2025-07-16T02:38:14Z","snapshot_observed_at":"2026-08-07T00:00:14.014872Z","submitted_at":"2025-07-14T16:31:06Z","title":"Some remarks on gradient dominance and LQR policy optimization","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T17:44:03.609182Z"},"links":{"citing_paper":"/paper/2507.10452"},"observation_digest":"sha256:2a071a394f1977cadc10979778d908ce527a1a1e87249316af1966dd8395b01d","observation_id":"516c3978-3d04-4ff5-a86e-13884e53919d","resolution":{"observed_at":"2026-08-06T17:44:07.940887Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2008.03903","last_updated":"2022-02-19T16:50:38Z","snapshot_observed_at":"2026-07-06T09:45:47.962625Z","submitted_at":"2020-08-10T05:16:35Z","title":"Online Optimization of Switched LTI Systems Using Continuous-Time and Hybrid Accelerated Gradient Flows","version":2},"cited_work":{"arxiv_id":"2008.03903","doi":null,"metadata_source":"pith","pith_arxiv_id":"2008.03903","snapshot_observed_at":"2026-08-06T17:44:06.407888Z","title":"Online Optimization of Switched LTI Systems Using Continuous-Time and Hybrid Accelerated Gradient Flows","venue":"math.OC","work_id":"6abb8a93-35bc-4f9c-a06c-583ff2b49fc4","year":2020},"citing_paper":{"arxiv_id":"2507.10452","last_updated":"2025-07-16T02:38:14Z","snapshot_observed_at":"2026-08-07T00:00:14.014872Z","submitted_at":"2025-07-14T16:31:06Z","title":"Some remarks on gradient dominance and LQR policy optimization","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T17:44:03.700174Z"},"links":{"cited_paper":"/paper/2008.03903","citing_paper":"/paper/2507.10452"},"observation_digest":"sha256:7900b49e0daedfc25ab88c028c4df2f53505159eea78f2d69c35a33966160c3e","observation_id":"e34fcd69-1999-425d-807d-c255ea182865","resolution":{"observed_at":"2026-08-06T17:44:06.533482Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2006.09178","last_updated":"2020-06-12T23:23:50Z","snapshot_observed_at":"2026-08-03T18:36:39.671612Z","submitted_at":"2020-06-12T23:23:50Z","title":"Policy Gradient-based Algorithms for Continuous-time Linear Quadratic Control","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2006.09178","snapshot_observed_at":"2026-08-06T17:44:03.797802Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2507.10452","last_updated":"2025-07-16T02:38:14Z","snapshot_observed_at":"2026-08-07T00:00:14.014872Z","submitted_at":"2025-07-14T16:31:06Z","title":"Some remarks on gradient dominance and LQR policy optimization","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T17:44:03.797802Z"},"links":{"cited_paper":"/paper/2006.09178","citing_paper":"/paper/2507.10452"},"observation_digest":"sha256:a1ba81c3c5a1c3a9205942d5fa596319d2211dcb12d3b703b9647bee867c5024","observation_id":"0cbe87b3-a6bd-4934-a118-d18d8f3ae36b","resolution":{"observed_at":"2026-08-06T17:44:03.797802Z","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":"2026-08-06T17:44:07.922737Z","title":"Cherukuri, E","venue":null,"work_id":"e3b526c3-5759-4b10-bde4-4b341d2d7fde","year":null},"citing_paper":{"arxiv_id":"2507.10452","last_updated":"2025-07-16T02:38:14Z","snapshot_observed_at":"2026-08-07T00:00:14.014872Z","submitted_at":"2025-07-14T16:31:06Z","title":"Some remarks on gradient dominance and LQR policy optimization","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T17:44:03.866510Z"},"links":{"citing_paper":"/paper/2507.10452"},"observation_digest":"sha256:f17a09b5016b9a05baf08302b780d950731adb004562881fc40a0fb2f6f55299","observation_id":"920ffa5c-49c8-427a-81a2-28304636fa6a","resolution":{"observed_at":"2026-08-06T17:44:07.927296Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T17:44:04.071524Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.10452","last_updated":"2025-07-16T02:38:14Z","snapshot_observed_at":"2026-08-07T00:00:14.014872Z","submitted_at":"2025-07-14T16:31:06Z","title":"Some remarks on gradient dominance and LQR policy optimization","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T17:44:04.071524Z"},"links":{"citing_paper":"/paper/2507.10452"},"observation_digest":"sha256:24dec7a7c00c97fb7daf579534bea4bd73c8db5a2beabde193d23dd78b74041d","observation_id":"c1795eb0-1626-4883-ad21-9df1eefad2ce","resolution":{"observed_at":"2026-08-06T17:44:04.071524Z","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":"2026-08-06T17:44:07.908765Z","title":"de Olivera, M","venue":null,"work_id":"e54518d5-fd08-4824-a4e7-33cf136dd5f4","year":2024},"citing_paper":{"arxiv_id":"2507.10452","last_updated":"2025-07-16T02:38:14Z","snapshot_observed_at":"2026-08-07T00:00:14.014872Z","submitted_at":"2025-07-14T16:31:06Z","title":"Some remarks on gradient dominance and LQR policy optimization","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T17:44:04.137448Z"},"links":{"citing_paper":"/paper/2507.10452"},"observation_digest":"sha256:89706932a13553b45e88d71fb1d601587e16ad21341caa48bd487b1048b678e9","observation_id":"48ed9162-85c8-4242-8895-db4c489301fe","resolution":{"observed_at":"2026-08-06T17:44:07.913217Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T17:44:07.895069Z","title":"de Olivera, M","venue":null,"work_id":"7b0fa5f6-ebd4-4aed-a00b-faea786a07a1","year":2025},"citing_paper":{"arxiv_id":"2507.10452","last_updated":"2025-07-16T02:38:14Z","snapshot_observed_at":"2026-08-07T00:00:14.014872Z","submitted_at":"2025-07-14T16:31:06Z","title":"Some remarks on gradient dominance and LQR policy optimization","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T17:44:04.224515Z"},"links":{"citing_paper":"/paper/2507.10452"},"observation_digest":"sha256:4e73df8c26b131316198d4482d763f1c692bdc0bffde0b188b73c76ac5fae398","observation_id":"ddb77810-303e-4307-bb63-83f720a6c2f1","resolution":{"observed_at":"2026-08-06T17:44:07.899163Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T17:44:04.289889Z","title":"Fatkhullin and B","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.10452","last_updated":"2025-07-16T02:38:14Z","snapshot_observed_at":"2026-08-07T00:00:14.014872Z","submitted_at":"2025-07-14T16:31:06Z","title":"Some remarks on gradient dominance and LQR policy optimization","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T17:44:04.289889Z"},"links":{"citing_paper":"/paper/2507.10452"},"observation_digest":"sha256:3bea35fb8c54b94ce0067b2ae2ee02f0054c3204de12ad42060e4406829e675e","observation_id":"30e7ce92-516a-4fcc-9979-6e86f97c2816","resolution":{"observed_at":"2026-08-06T17:44:04.289889Z","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":"2026-08-06T17:44:07.880884Z","title":"Fatkhullin, J","venue":null,"work_id":"36c9a2bf-a991-4298-a188-66bca6d6bef3","year":2022},"citing_paper":{"arxiv_id":"2507.10452","last_updated":"2025-07-16T02:38:14Z","snapshot_observed_at":"2026-08-07T00:00:14.014872Z","submitted_at":"2025-07-14T16:31:06Z","title":"Some remarks on gradient dominance and LQR policy optimization","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T17:44:04.379972Z"},"links":{"citing_paper":"/paper/2507.10452"},"observation_digest":"sha256:3c4332ef92ffdb576ca66d686a70093bbf0292f1f3ec3192d4d865c1ca11185b","observation_id":"dd0f7daf-6706-45d3-9ad2-9bbfd75d8922","resolution":{"observed_at":"2026-08-06T17:44:07.884849Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T17:44:07.866835Z","title":"Fazel, R","venue":null,"work_id":"d257dc09-6aa0-4cf2-b618-30f719759451","year":2018},"citing_paper":{"arxiv_id":"2507.10452","last_updated":"2025-07-16T02:38:14Z","snapshot_observed_at":"2026-08-07T00:00:14.014872Z","submitted_at":"2025-07-14T16:31:06Z","title":"Some remarks on gradient dominance and LQR policy optimization","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T17:44:04.484027Z"},"links":{"citing_paper":"/paper/2507.10452"},"observation_digest":"sha256:e498b9e55b2fb0115870edd1ffae789239e3d87d934cc966071f44d7ce68f513","observation_id":"6203c47a-8cd9-464d-9eb6-b7eab9c8ff87","resolution":{"observed_at":"2026-08-06T17:44:07.871296Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T17:44:07.775547Z","title":null,"venue":null,"work_id":"3e115643-811e-4fb3-a0f6-332408c94bb1","year":2022},"citing_paper":{"arxiv_id":"2507.10452","last_updated":"2025-07-16T02:38:14Z","snapshot_observed_at":"2026-08-07T00:00:14.014872Z","submitted_at":"2025-07-14T16:31:06Z","title":"Some remarks on gradient dominance and LQR policy optimization","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T17:44:04.557252Z"},"links":{"citing_paper":"/paper/2507.10452"},"observation_digest":"sha256:9bc345d0559404b3febc7997771b045225209be911b368a1a366f349461876f0","observation_id":"36df20a7-8f04-4115-820f-8eefc9678864","resolution":{"observed_at":"2026-08-06T17:44:07.856835Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1970.10993","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:44:05.857728Z","title":"Levine and M","venue":null,"work_id":"b2efc7a2-774e-4bf4-ac99-5ea00c694a8c","year":1970},"citing_paper":{"arxiv_id":"2507.10452","last_updated":"2025-07-16T02:38:14Z","snapshot_observed_at":"2026-08-07T00:00:14.014872Z","submitted_at":"2025-07-14T16:31:06Z","title":"Some remarks on gradient dominance and LQR policy optimization","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T17:44:04.626514Z"},"links":{"citing_paper":"/paper/2507.10452"},"observation_digest":"sha256:1c80bc90b6afb3f7696eec17c95d676d982515aaec715b9de47c501c14b06ae6","observation_id":"22b2ca6d-b0bd-4a85-b405-6ecc2257d244","resolution":{"observed_at":"2026-08-06T17:44:05.905779Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T17:44:07.618840Z","title":"Mohammadi, A","venue":null,"work_id":"1131e8d4-fd11-4a26-b3b4-1e93c19952b4","year":2022},"citing_paper":{"arxiv_id":"2507.10452","last_updated":"2025-07-16T02:38:14Z","snapshot_observed_at":"2026-08-07T00:00:14.014872Z","submitted_at":"2025-07-14T16:31:06Z","title":"Some remarks on gradient dominance and LQR policy optimization","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T17:44:04.728000Z"},"links":{"citing_paper":"/paper/2507.10452"},"observation_digest":"sha256:d2a2f309dfec96a0783370bd56634cef964b8099d9bc70cc146cf11de2f306ba","observation_id":"2b11e7f8-127d-40ae-acf2-eb500699ee78","resolution":{"observed_at":"2026-08-06T17:44:07.687052Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4230/lipics.itcs.2017.2","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:44:05.366875Z","title":"Panageas and G","venue":null,"work_id":"e3c9b52c-b677-4416-ac9d-329aaf06f678","year":2017},"citing_paper":{"arxiv_id":"2507.10452","last_updated":"2025-07-16T02:38:14Z","snapshot_observed_at":"2026-08-07T00:00:14.014872Z","submitted_at":"2025-07-14T16:31:06Z","title":"Some remarks on gradient dominance and LQR policy optimization","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T17:44:04.832813Z"},"links":{"citing_paper":"/paper/2507.10452"},"observation_digest":"sha256:b046c2ffe71b6a93cd69bc43db26fdc3e698f3a3a76c0f0c11093fe0103497e4","observation_id":"3be16544-9ddb-444a-8ab4-79c8312879c3","resolution":{"observed_at":"2026-08-06T17:44:05.436455Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T17:44:07.445101Z","title":null,"venue":null,"work_id":"d6c9d53c-38e9-4e31-9cc3-7fe7b6a9215a","year":2022},"citing_paper":{"arxiv_id":"2507.10452","last_updated":"2025-07-16T02:38:14Z","snapshot_observed_at":"2026-08-07T00:00:14.014872Z","submitted_at":"2025-07-14T16:31:06Z","title":"Some remarks on gradient dominance and LQR policy optimization","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T17:44:04.906057Z"},"links":{"citing_paper":"/paper/2507.10452"},"observation_digest":"sha256:567d9560918b55cade20ef228171ec8d0f7c5da5dfff1af6725f402d3b2689b4","observation_id":"fdf49e22-1e48-4737-bccf-54c3a79b0673","resolution":{"observed_at":"2026-08-06T17:44:07.531034Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T17:44:07.242768Z","title":null,"venue":null,"work_id":"cb4f5edb-a1ac-4019-b8ee-b0a7fc77a3e3","year":1987},"citing_paper":{"arxiv_id":"2507.10452","last_updated":"2025-07-16T02:38:14Z","snapshot_observed_at":"2026-08-07T00:00:14.014872Z","submitted_at":"2025-07-14T16:31:06Z","title":"Some remarks on gradient dominance and LQR policy optimization","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T17:44:04.971580Z"},"links":{"citing_paper":"/paper/2507.10452"},"observation_digest":"sha256:9c5b3770d289e53dce0ec26b6bb95cd87d50a165edb416a4a6def595181b686a","observation_id":"40ae53a1-5e03-4d44-b900-24b399da916d","resolution":{"observed_at":"2026-08-06T17:44:07.320279Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T17:44:05.027266Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.10452","last_updated":"2025-07-16T02:38:14Z","snapshot_observed_at":"2026-08-07T00:00:14.014872Z","submitted_at":"2025-07-14T16:31:06Z","title":"Some remarks on gradient dominance and LQR policy optimization","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T17:44:05.027266Z"},"links":{"citing_paper":"/paper/2507.10452"},"observation_digest":"sha256:924e3c9bb8065ba76ef7f99cac08a0bdd39dcf9325ce0be0af192c5b7d32d12d","observation_id":"38a86b0d-2cd7-484a-a4f3-69270aabb231","resolution":{"observed_at":"2026-08-06T17:44:05.027266Z","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":"2026-08-06T17:44:07.081766Z","title":null,"venue":null,"work_id":"a8318005-3bc9-45d8-a71c-ae8a581a7b29","year":2007},"citing_paper":{"arxiv_id":"2507.10452","last_updated":"2025-07-16T02:38:14Z","snapshot_observed_at":"2026-08-07T00:00:14.014872Z","submitted_at":"2025-07-14T16:31:06Z","title":"Some remarks on gradient dominance and LQR policy optimization","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T17:44:05.115213Z"},"links":{"citing_paper":"/paper/2507.10452"},"observation_digest":"sha256:5aa8e2a01bc7e8045e9115d664dc5552e7a209ff4bb1bee65dcccc9d004bdc97","observation_id":"43f81c64-4766-4e4c-977a-2c933016e999","resolution":{"observed_at":"2026-08-06T17:44:07.174388Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T17:44:06.942148Z","title":null,"venue":null,"work_id":"fe34a1e0-16da-44b8-84fa-ab1c4741b5e3","year":2022},"citing_paper":{"arxiv_id":"2507.10452","last_updated":"2025-07-16T02:38:14Z","snapshot_observed_at":"2026-08-07T00:00:14.014872Z","submitted_at":"2025-07-14T16:31:06Z","title":"Some remarks on gradient dominance and LQR policy optimization","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T17:44:05.170184Z"},"links":{"citing_paper":"/paper/2507.10452"},"observation_digest":"sha256:d366063471025f6a5b67a48c9cbd33cca1458e4c4e46f8e7347f407a92d1d522","observation_id":"8a7b1b33-3ab8-4e1d-b25b-293bc7702c6c","resolution":{"observed_at":"2026-08-06T17:44:07.014899Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2009.14676","last_updated":"2021-02-05T11:24:04Z","snapshot_observed_at":"2026-07-06T10:00:09.002374Z","submitted_at":"2020-09-30T13:54:48Z","title":"Robustness properties of a large-amplitude, high-frequency extremum seeking control scheme","version":3},"cited_work":{"arxiv_id":"2009.14676","doi":null,"metadata_source":"pith","pith_arxiv_id":"2009.14676","snapshot_observed_at":"2026-08-06T17:44:05.510326Z","title":"Robustness properties of a large-amplitude, high-frequency extremum seeking control scheme","venue":"math.OC","work_id":"5411d49f-37aa-4790-a661-16e395fffeb1","year":2020},"citing_paper":{"arxiv_id":"2507.10452","last_updated":"2025-07-16T02:38:14Z","snapshot_observed_at":"2026-08-07T00:00:14.014872Z","submitted_at":"2025-07-14T16:31:06Z","title":"Some remarks on gradient dominance and LQR policy optimization","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T17:44:05.220393Z"},"links":{"cited_paper":"/paper/2009.14676","citing_paper":"/paper/2507.10452"},"observation_digest":"sha256:8a99333bd85e3abc3f4741bfdf5994f96d1225a73c1201cde9e24b98c9bdc8cc","observation_id":"3ab6d8fc-b551-4664-bab9-1b56498fd855","resolution":{"observed_at":"2026-08-06T17:44:05.551327Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T17:44:06.661894Z","title":null,"venue":null,"work_id":"3c6b0768-d8db-4e66-ad4d-4e5d295486e3","year":2025},"citing_paper":{"arxiv_id":"2507.10452","last_updated":"2025-07-16T02:38:14Z","snapshot_observed_at":"2026-08-07T00:00:14.014872Z","submitted_at":"2025-07-14T16:31:06Z","title":"Some remarks on gradient dominance and LQR policy optimization","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T17:44:05.286058Z"},"links":{"citing_paper":"/paper/2507.10452"},"observation_digest":"sha256:9a1d8960b77c2e26d4d7e585ebc1d0e3877a2eb8e292c706ee1e5bfc6bdb6a95","observation_id":"7e4e30e2-4a57-40ab-9dd9-ea72fed8d8f7","resolution":{"observed_at":"2026-08-06T17:44:06.828338Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2017.27786","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:44:06.131107Z","title":null,"venue":null,"work_id":"fe327494-ae3c-4694-9ac4-87f2a26cb913","year":2017},"citing_paper":{"arxiv_id":"2507.10452","last_updated":"2025-07-16T02:38:14Z","snapshot_observed_at":"2026-08-07T00:00:14.014872Z","submitted_at":"2025-07-14T16:31:06Z","title":"Some remarks on gradient dominance and LQR policy optimization","version":2},"reference_index":2018,"source":"pdf_text","source_observed_at":"2026-08-06T17:44:03.968116Z"},"links":{"citing_paper":"/paper/2507.10452"},"observation_digest":"sha256:67291258379a9ae82ea16d95107e49a21db237abf1614d136d2e4c87886e9045","observation_id":"07b7d6b8-3851-467a-8ced-9fe9a296d9a9","resolution":{"observed_at":"2026-08-06T17:44:06.212573Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T17:44:04.792415Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.10452","last_updated":"2025-07-16T02:38:14Z","snapshot_observed_at":"2026-08-07T00:00:14.014872Z","submitted_at":"2025-07-14T16:31:06Z","title":"Some remarks on gradient dominance and LQR policy optimization","version":2},"reference_index":3303,"source":"pdf_text","source_observed_at":"2026-08-06T17:44:04.792415Z"},"links":{"citing_paper":"/paper/2507.10452"},"observation_digest":"sha256:e2a10b0d3810f40a93ce77a62708a4ee3345cf5f393a2fb5bbbae50558c102a5","observation_id":"41282fe1-04be-42e5-a15b-a4cabacd4e64","resolution":{"observed_at":"2026-08-06T17:44:04.792415Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2507.10452","last_updated":"2025-07-16T02:38:14Z","latest_version":2,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-07T00:00:14.014872Z","submitted_at":"2025-07-14T16:31:06Z","title":"Some remarks on gradient dominance and LQR policy optimization"},"reference_resolution":{"displayed":24,"state_counts":{"malformed_identifier":0,"metadata_mismatch":2,"parse_uncertain":0,"unresolved":13,"verified_exact":3,"verified_fuzzy":6},"total_outbound_references":24},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2507.10452."}