{"as_of":"2026-08-10T15:27:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0a148f2f21018ec56bfe9d2e4402889539212b9c9bcf314ae75a458a3198b1cb","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":"2026-08-10T06:31:04.303077+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":"2026-08-01T18:00:35.130908Z","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":"2026-05-13T18:38:07.528937Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1408.1598","last_updated":"2015-10-02T18:46:37Z","snapshot_observed_at":"2026-08-04T19:17:22.912125Z","submitted_at":"2014-08-07T14:08:13Z","title":"Algebras of Open Dynamical Systems on the Operad of Wiring Diagrams","version":2},"cited_work":{"arxiv_id":"1408.1598","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1408.1598","snapshot_observed_at":"2026-07-04T20:36:05.859596Z","title":"Spivak & Eugene Lerman (2015):Algebras of Open Dynamical Systems on the Operad of Wiring Diagrams","venue":null,"work_id":"32ddc699-b142-4576-9c51-c1fe8e19babf","year":2015},"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":35,"source":"pdf_text","source_observed_at":"2026-05-13T18:35:47.564184Z"},"links":{"cited_paper":"/paper/1408.1598","citing_paper":"/paper/2604.03017"},"observation_digest":"sha256:f6fe48386bfde799a3e8e86cfad71a601df02cd01f22091775b60e7e3a61313e","observation_id":"9564daca-7b60-42a9-b3a4-40ea32eb74e0","resolution":{"observed_at":"2026-07-04T20:36:05.859596Z","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":"1408.1598","last_updated":"2015-10-02T18:46:37Z","snapshot_observed_at":"2026-08-04T19:17:22.912125Z","submitted_at":"2014-08-07T14:08:13Z","title":"Algebras of Open Dynamical Systems on the Operad of Wiring Diagrams","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1408.1598","snapshot_observed_at":"2026-08-01T18:00:35.130908Z","title":"Vagner, D","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.17455","last_updated":"2026-07-20T01:06:04Z","snapshot_observed_at":"2026-08-10T09:00:06.390364Z","submitted_at":"2026-07-20T01:06:04Z","title":"Dynamical Systems as Functorial Realisations of Abstract Evolution Shapes","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-01T18:00:35.130908Z"},"links":{"cited_paper":"/paper/1408.1598","citing_paper":"/paper/2607.17455"},"observation_digest":"sha256:f3329a2b32d442bf1a6a681507558910f8a15fd6fdce26f6dff9aef26d9e68e2","observation_id":"e88230fd-335d-4727-84b2-daef61ab4b57","resolution":{"observed_at":"2026-08-01T18:00:35.130908Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1408.1598/citation-record","integrity":"/paper/1408.1598/integrity","json":"/paper/1408.1598/citation-record.json","paper":"/paper/1408.1598"},"outbound":[],"paper":{"arxiv_id":"1408.1598","last_updated":"2015-10-02T18:46:37Z","latest_version":2,"primary_category":"math.CT","snapshot_observed_at":"2026-08-04T19:17:22.912125Z","submitted_at":"2014-08-07T14:08:13Z","title":"Algebras of Open Dynamical Systems on the Operad of Wiring Diagrams"},"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 2 inbound Pith citation observations for arXiv:1408.1598."}