{"as_of":"2026-08-10T08:18:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d72891ae58df55fb719bf7013a622955b9ca5fe62523c93205b605e13e585bb4","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T21:59:09.770074Z","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":"2026-05-16T23:01:20.982657Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.09289","last_updated":"2025-01-16T04:46:46Z","snapshot_observed_at":"2026-08-10T03:14:22.436436Z","submitted_at":"2025-01-16T04:46:46Z","title":"Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.09289","snapshot_observed_at":"2026-08-05T21:59:09.770074Z","title":"Mestres, Y","venue":null,"work_id":null,"year":2025},"citing_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},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-05T21:59:09.770074Z"},"links":{"cited_paper":"/paper/2501.09289","citing_paper":"/paper/2508.07684"},"observation_digest":"sha256:cc6c0a8bce8c379bcebbf38202820877b9491d1fae6dd935d069d26c6fe16fe8","observation_id":"10eef7ff-d23a-4a29-9527-d7c19e4e6600","resolution":{"observed_at":"2026-08-05T21:59:09.770074Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.09289","last_updated":"2025-01-16T04:46:46Z","snapshot_observed_at":"2026-08-10T03:14:22.436436Z","submitted_at":"2025-01-16T04:46:46Z","title":"Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles","version":1},"cited_work":{"arxiv_id":"2501.09289","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.09289","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"(2025 b )","venue":null,"work_id":"75cb0165-16a5-4750-b90f-100f656901b8","year":2025},"citing_paper":{"arxiv_id":"2512.10118","last_updated":"2026-04-21T18:59:56Z","snapshot_observed_at":"2026-07-06T22:38:40.044448Z","submitted_at":"2025-12-10T22:09:53Z","title":"Explicit Control Barrier Function-based Safety Filters and their Resource-Aware Computation","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-05-16T22:58:44.852063Z"},"links":{"cited_paper":"/paper/2501.09289","citing_paper":"/paper/2512.10118"},"observation_digest":"sha256:fc86f012a9d3c8422bc54a9efe5d7e48596b025b26cefd97890c150ebe4101db","observation_id":"3fb07f3c-55b8-4497-8def-d7ed51fb8dc7","resolution":{"observed_at":"2026-05-16T23:01:20.984776Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.09289","last_updated":"2025-01-16T04:46:46Z","snapshot_observed_at":"2026-08-10T03:14:22.436436Z","submitted_at":"2025-01-16T04:46:46Z","title":"Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.09289","snapshot_observed_at":"2026-07-13T23:59:08.947425Z","title":"Control barrier function-based safety filters: Characterization of undesired equilibria, unbounded trajectories, and limit cycles,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2603.16074","last_updated":"2026-07-08T05:15:20Z","snapshot_observed_at":"2026-08-07T04:12:04.172077Z","submitted_at":"2026-03-17T02:44:43Z","title":"Finite Boundary-Layer Residence Certificates for Non-Strict Control Barrier Functions","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-13T23:59:08.947425Z"},"links":{"cited_paper":"/paper/2501.09289","citing_paper":"/paper/2603.16074"},"observation_digest":"sha256:84e35759ab8e778748b0494c273e92e6f84b177df1ca342e4b8ce16c72ec0038","observation_id":"7bb9dd3a-eab6-4b81-a356-52850db5877b","resolution":{"observed_at":"2026-07-13T23:59:08.947425Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.09289","last_updated":"2025-01-16T04:46:46Z","snapshot_observed_at":"2026-08-10T03:14:22.436436Z","submitted_at":"2025-01-16T04:46:46Z","title":"Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.09289","snapshot_observed_at":"2026-08-02T18:09:45.348233Z","title":"Control barrier function-based safety filters: characterization of undesired equilib- ria, unbounded trajectories, and limit cycles,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2603.17401","last_updated":"2026-07-17T00:16:13Z","snapshot_observed_at":"2026-08-07T19:02:31.012309Z","submitted_at":"2026-03-18T06:23:00Z","title":"Dynamical Properties of Safety Filters for Linear Systems and Affine Control Barrier Functions","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-02T18:09:45.348233Z"},"links":{"cited_paper":"/paper/2501.09289","citing_paper":"/paper/2603.17401"},"observation_digest":"sha256:89410489704ee700adf4a420331751a4365078c4ea785baae3d867af5d4d83cb","observation_id":"3f9c119b-aa6c-4a81-af17-7d48e18e1aa8","resolution":{"observed_at":"2026-08-02T18:09:45.348233Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.09289","last_updated":"2025-01-16T04:46:46Z","snapshot_observed_at":"2026-08-10T03:14:22.436436Z","submitted_at":"2025-01-16T04:46:46Z","title":"Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles","version":1},"cited_work":{"arxiv_id":"2501.09289","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.09289","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"(2025 b )","venue":null,"work_id":"75cb0165-16a5-4750-b90f-100f656901b8","year":2025},"citing_paper":{"arxiv_id":"2605.05989","last_updated":"2026-05-07T10:38:01Z","snapshot_observed_at":"2026-07-06T23:18:31.432422Z","submitted_at":"2026-05-07T10:38:01Z","title":"Verifiable Model-Free Safety Filters via Reinforcement Learning","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-05-08T08:33:46.691269Z"},"links":{"cited_paper":"/paper/2501.09289","citing_paper":"/paper/2605.05989"},"observation_digest":"sha256:01080ff07d67b3bd873e877f5e557cd880b61a48f9a6a7342aa5840de59afe82","observation_id":"5ce0f0cf-54dc-4c22-a926-ce6c9d69ffbc","resolution":{"observed_at":"2026-05-11T20:36:08.265497Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2501.09289/citation-record","integrity":"/paper/2501.09289/integrity","json":"/paper/2501.09289/citation-record.json","paper":"/paper/2501.09289"},"outbound":[],"paper":{"arxiv_id":"2501.09289","last_updated":"2025-01-16T04:46:46Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-10T03:14:22.436436Z","submitted_at":"2025-01-16T04:46:46Z","title":"Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2501.09289."}