{"as_of":"2026-08-23T15:04:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2f06cc98dd6c3e0066a62ccd42ee9a51956046eae2ce09df1fff8f43f413942b","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":1,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":1,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-23T06:30:58.430688+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-13T18:35:47.564184Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"arxiv_reference","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":1,"observed_at":"2026-08-05T02:28:24.338817Z","source":"arxiv_reference"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2205.15240","last_updated":"2022-05-30T16:55:31Z","snapshot_observed_at":"2026-08-21T15:56:50.222881Z","submitted_at":"2022-05-30T16:55:31Z","title":"Double Fibrations","version":1},"cited_work":{"arxiv_id":"2205.15240","doi":"10.48550/arxiv.2205.15240","metadata_source":"arxiv_reference","pith_arxiv_id":"2205.15240","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"arXiv (Cornell University)","work_id":"12dc427e-1329-4d29-9422-c58701b97733","year":2022},"citing_paper":{"arxiv_id":"2604.03017","last_updated":"2026-04-03T13:02:04Z","snapshot_observed_at":"2026-07-06T22:52:15.263364Z","submitted_at":"2026-04-03T13:02:04Z","title":"Compositionality of Lyapunov functions via assume-guarantee reasoning","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-13T18:35:47.564184Z"},"links":{"cited_paper":"/paper/2205.15240","citing_paper":"/paper/2604.03017"},"observation_digest":"sha256:2355f51bf93dbf0c3c7b99888660b29deca5be1cf4ac8986f59cd85f843e6c64","observation_id":"e12e56af-f7f1-4312-be19-e3e9c48d8d8c","resolution":{"observed_at":"2026-05-13T18:38:07.030576Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2205.15240/citation-record","integrity":"/paper/2205.15240/integrity","json":"/paper/2205.15240/citation-record.json","paper":"/paper/2205.15240"},"outbound":[],"paper":{"arxiv_id":"2205.15240","last_updated":"2022-05-30T16:55:31Z","latest_version":1,"primary_category":"math.CT","snapshot_observed_at":"2026-08-21T15:56:50.222881Z","submitted_at":"2022-05-30T16:55:31Z","title":"Double Fibrations"},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2205.15240."}