{"as_of":"2026-08-21T08:18:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:79b93b7c769d22549a9a05f15721a2d3d0ed8a4d64ce529808421469ab0192d4","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T06:04:00.514762Z","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":"2026-07-03T03:37:35.172371Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2008.06546","last_updated":"2020-11-23T03:19:40Z","snapshot_observed_at":"2026-07-06T09:47:19.496390Z","submitted_at":"2020-08-14T19:03:09Z","title":"Learning Lyapunov Functions for Piecewise Affine Systems with Neural Network Controllers","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.06546","snapshot_observed_at":"2026-08-07T06:04:00.514762Z","title":"Learning lyapunov functions for piecewise affine systems with neural network controllers,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2506.06564","last_updated":"2025-06-06T22:38:31Z","snapshot_observed_at":"2026-08-17T22:19:24.592881Z","submitted_at":"2025-06-06T22:38:31Z","title":"Learning Neural Controllers with Optimality and Stability Guarantees Using Input-Output Dissipativity","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T06:04:00.514762Z"},"links":{"cited_paper":"/paper/2008.06546","citing_paper":"/paper/2506.06564"},"observation_digest":"sha256:8780c13cc176c65b0e87ea76d4e175cfce68c9cda84e391a085ede816bbf9880","observation_id":"31d4f177-3ee0-4448-b354-b722ed20d982","resolution":{"observed_at":"2026-08-07T06:04:00.514762Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.06546","last_updated":"2020-11-23T03:19:40Z","snapshot_observed_at":"2026-07-06T09:47:19.496390Z","submitted_at":"2020-08-14T19:03:09Z","title":"Learning Lyapunov Functions for Piecewise Affine Systems with Neural Network Controllers","version":2},"cited_work":{"arxiv_id":"2008.06546","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2008.06546","snapshot_observed_at":"2026-07-03T03:37:35.172371Z","title":null,"venue":null,"work_id":"0b54b847-2882-4dff-9c30-e5b41ff51019","year":2008},"citing_paper":{"arxiv_id":"2606.10045","last_updated":"2026-06-08T18:16:32Z","snapshot_observed_at":"2026-08-15T04:13:10.633768Z","submitted_at":"2026-06-08T18:16:32Z","title":"A constrained symbolic regression approach for Lyapunov function discovery","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-06-27T15:15:08.149601Z"},"links":{"cited_paper":"/paper/2008.06546","citing_paper":"/paper/2606.10045"},"observation_digest":"sha256:39bbc17a80e2752bfb9fd2c855646f6a6139f305d900c5b9ac8702fc7632b36a","observation_id":"d718b00a-ecd2-4d1f-a684-98cedc79d400","resolution":{"observed_at":"2026-07-03T03:37:35.173714Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2008.06546/citation-record","integrity":"/paper/2008.06546/integrity","json":"/paper/2008.06546/citation-record.json","paper":"/paper/2008.06546"},"outbound":[],"paper":{"arxiv_id":"2008.06546","last_updated":"2020-11-23T03:19:40Z","latest_version":2,"primary_category":"math.OC","snapshot_observed_at":"2026-07-06T09:47:19.496390Z","submitted_at":"2020-08-14T19:03:09Z","title":"Learning Lyapunov Functions for Piecewise Affine Systems with Neural Network Controllers"},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2008.06546."}