{"as_of":"2026-08-09T00:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9af646515d19c9ee1407be9d7eab7771c733d9234003ea0670b99714e6266661","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":6,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":6,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":6,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T05:52:05.589518Z","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":"2026-05-23T21:15:49.468662Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2404.14804","last_updated":"2025-06-11T05:56:01Z","snapshot_observed_at":"2026-07-06T18:04:13.083818Z","submitted_at":"2024-04-23T07:34:04Z","title":"PRoTECT: Parallelized Construction of Safety Barrier Certificates for Nonlinear Polynomial Systems","version":2},"cited_work":{"arxiv_id":"2404.14804","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.14804","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"PRoTECT : Parallelized construction of safety barrier certificates for nonlinear polynomial systems","venue":null,"work_id":"0caa0ea4-9fdb-4187-a148-b57f01326be9","year":2024},"citing_paper":{"arxiv_id":"2409.10018","last_updated":"2026-04-13T05:07:23Z","snapshot_observed_at":"2026-07-06T19:15:52.640101Z","submitted_at":"2024-09-16T06:10:30Z","title":"Compositional Design of Safety Controllers for Large-Scale Stochastic Hybrid Systems","version":3},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-05-23T21:13:35.897058Z"},"links":{"cited_paper":"/paper/2404.14804","citing_paper":"/paper/2409.10018"},"observation_digest":"sha256:8cf08fec5fec41a4edf27cfe12b5dd654b20b46ba8231e3d90f7a71b8208d6a8","observation_id":"ab9aad17-0df0-41d5-a9fb-5f2b6c1ab94a","resolution":{"observed_at":"2026-05-23T21:15:49.472333Z","resolver_source":"arxiv_id","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":"2404.14804","last_updated":"2025-06-11T05:56:01Z","snapshot_observed_at":"2026-07-06T18:04:13.083818Z","submitted_at":"2024-04-23T07:34:04Z","title":"PRoTECT: Parallelized Construction of Safety Barrier Certificates for Nonlinear Polynomial Systems","version":2},"cited_work":{"arxiv_id":"2404.14804","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.14804","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"PRoTECT : Parallelized construction of safety barrier certificates for nonlinear polynomial systems","venue":null,"work_id":"0caa0ea4-9fdb-4187-a148-b57f01326be9","year":2024},"citing_paper":{"arxiv_id":"2412.03932","last_updated":"2026-05-15T05:41:44Z","snapshot_observed_at":"2026-07-06T20:01:59.108032Z","submitted_at":"2024-12-05T07:22:32Z","title":"A Physics-Informed Scenario Approach with Data Mitigation for Safety Verification of Nonlinear Systems","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-05-23T08:11:29.857908Z"},"links":{"cited_paper":"/paper/2404.14804","citing_paper":"/paper/2412.03932"},"observation_digest":"sha256:2a7decf6d8cf5f464c5985c2a514d57be170186a8dbaf0f30830a6d8420243d2","observation_id":"d419b84e-769d-46cb-88fc-54f334413211","resolution":{"observed_at":"2026-05-23T08:12:43.650394Z","resolver_source":"arxiv_id","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":"2404.14804","last_updated":"2025-06-11T05:56:01Z","snapshot_observed_at":"2026-07-06T18:04:13.083818Z","submitted_at":"2024-04-23T07:34:04Z","title":"PRoTECT: Parallelized Construction of Safety Barrier Certificates for Nonlinear Polynomial Systems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.14804","snapshot_observed_at":"2026-08-06T05:52:05.589518Z","title":"PRoTECT: Parallelized con- struction of safety barrier certificates for nonlinear polynomial systems,","venue":null,"work_id":null,"year":2024},"citing_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},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T05:52:05.589518Z"},"links":{"cited_paper":"/paper/2404.14804","citing_paper":"/paper/2508.01315"},"observation_digest":"sha256:9e9657941543f531d3ff70970bd0b5372e2290fd84bc16ee697a3b6904367409","observation_id":"90890f65-8692-462a-aa1c-0c747a0b538c","resolution":{"observed_at":"2026-08-06T05:52:05.589518Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.14804","last_updated":"2025-06-11T05:56:01Z","snapshot_observed_at":"2026-07-06T18:04:13.083818Z","submitted_at":"2024-04-23T07:34:04Z","title":"PRoTECT: Parallelized Construction of Safety Barrier Certificates for Nonlinear Polynomial Systems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.14804","snapshot_observed_at":"2026-08-05T21:02:09.363206Z","title":"Wooding, V","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.09520","last_updated":"2025-08-13T06:04:31Z","snapshot_observed_at":"2026-08-05T21:02:03.403151Z","submitted_at":"2025-08-13T06:04:31Z","title":"From Formal Methods to Data-Driven Safety Certificates of Unknown Large-Scale Networks","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-05T21:02:09.363206Z"},"links":{"cited_paper":"/paper/2404.14804","citing_paper":"/paper/2508.09520"},"observation_digest":"sha256:1fb7dd0ea35c4e81c0790d5577c0103a595b4bc895a216eab51596aca3f87d7d","observation_id":"e24ec9da-cebd-4805-b7eb-3bcd3513f56f","resolution":{"observed_at":"2026-08-05T21:02:09.363206Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.14804","last_updated":"2025-06-11T05:56:01Z","snapshot_observed_at":"2026-07-06T18:04:13.083818Z","submitted_at":"2024-04-23T07:34:04Z","title":"PRoTECT: Parallelized Construction of Safety Barrier Certificates for Nonlinear Polynomial Systems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.14804","snapshot_observed_at":"2026-08-02T21:25:02.310902Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2602.20359","last_updated":"2026-06-24T01:01:42Z","snapshot_observed_at":"2026-08-02T21:24:59.439444Z","submitted_at":"2026-02-23T21:06:30Z","title":"StochasticBarrier.jl: A Toolbox for Stochastic Barrier Function Synthesis","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-02T21:25:02.310902Z"},"links":{"cited_paper":"/paper/2404.14804","citing_paper":"/paper/2602.20359"},"observation_digest":"sha256:7d7469be6559888e8fc4dd5e652216ff340a5d66966da934f37f4ed3a8f0d980","observation_id":"7fcc805d-6a39-4f23-b9df-72a29f46d1e6","resolution":{"observed_at":"2026-08-02T21:25:02.310902Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.14804","last_updated":"2025-06-11T05:56:01Z","snapshot_observed_at":"2026-07-06T18:04:13.083818Z","submitted_at":"2024-04-23T07:34:04Z","title":"PRoTECT: Parallelized Construction of Safety Barrier Certificates for Nonlinear Polynomial Systems","version":2},"cited_work":{"arxiv_id":"2404.14804","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.14804","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"PRoTECT : Parallelized construction of safety barrier certificates for nonlinear polynomial systems","venue":null,"work_id":"0caa0ea4-9fdb-4187-a148-b57f01326be9","year":2024},"citing_paper":{"arxiv_id":"2605.02526","last_updated":"2026-05-04T12:27:20Z","snapshot_observed_at":"2026-07-06T23:15:37.099197Z","submitted_at":"2026-05-04T12:27:20Z","title":"Set-Based Training of Neural Barrier Certificates for Safety Verification of Dynamical Systems","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-08T18:31:18.464752Z"},"links":{"cited_paper":"/paper/2404.14804","citing_paper":"/paper/2605.02526"},"observation_digest":"sha256:78f4ab2997486f24caad634bf81d92f9511b3ad7cbc835780c13e5d01b97a793","observation_id":"f09865ee-6ed0-4803-a2fd-0fb4257717c3","resolution":{"observed_at":"2026-05-09T06:20:43.196775Z","resolver_source":"arxiv_id","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"}}],"links":{"evidence":"/evidence","html":"/paper/2404.14804/citation-record","integrity":"/paper/2404.14804/integrity","json":"/paper/2404.14804/citation-record.json","paper":"/paper/2404.14804"},"outbound":[],"paper":{"arxiv_id":"2404.14804","last_updated":"2025-06-11T05:56:01Z","latest_version":2,"primary_category":"eess.SY","snapshot_observed_at":"2026-07-06T18:04:13.083818Z","submitted_at":"2024-04-23T07:34:04Z","title":"PRoTECT: Parallelized Construction of Safety Barrier Certificates for Nonlinear Polynomial Systems"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2404.14804."}