{"as_of":"2026-08-09T15:10:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:46511ebef1f85f4646131e22ffd3e7b80314c8255dc31c638d86e29960efad85","coverage":[{"denominator":2,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T14:38:50.559441Z","state":"measured"},{"denominator":10,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":10,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":8,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":8,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T22:42:54.457955Z","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":"2026-07-04T14:59:55.805091Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2505.18329","last_updated":"2025-05-28T19:20:26Z","snapshot_observed_at":"2026-08-07T14:30:50.138764Z","submitted_at":"2025-05-23T19:35:57Z","title":"Towards a double operadic theory of systems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.18329","snapshot_observed_at":"2026-08-05T22:42:54.457955Z","title":"Towards a double operadic theory of systems","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2508.06637","last_updated":"2026-06-24T15:57:13Z","snapshot_observed_at":"2026-08-07T16:38:57.553847Z","submitted_at":"2025-08-08T18:34:36Z","title":"Double-functorial representation of regular hyperdoctrines","version":3},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-05T22:42:54.457955Z"},"links":{"cited_paper":"/paper/2505.18329","citing_paper":"/paper/2508.06637"},"observation_digest":"sha256:99bb3e0fab8831dffe4b10af8bf23e661aa4ec659c83ce94bea18f4cd8a7b9b2","observation_id":"4d6d1ecc-e3f7-4c5e-baa9-bbfc8f728bc1","resolution":{"observed_at":"2026-08-05T22:42:54.457955Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.18329","last_updated":"2025-05-28T19:20:26Z","snapshot_observed_at":"2026-08-07T14:30:50.138764Z","submitted_at":"2025-05-23T19:35:57Z","title":"Towards a double operadic theory of systems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.18329","snapshot_observed_at":"2026-08-04T14:52:25.333811Z","title":"Libkind and D","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.22584","last_updated":"2026-07-24T13:29:15Z","snapshot_observed_at":"2026-08-06T13:56:17.301821Z","submitted_at":"2025-09-26T17:04:14Z","title":"Double Categories of Open Systems: the Cospan Approach","version":3},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-04T14:52:25.333811Z"},"links":{"cited_paper":"/paper/2505.18329","citing_paper":"/paper/2509.22584"},"observation_digest":"sha256:48cacb797958bae9747cebc18cdb851094c41b7731da52eee2b5e01bbe19e958","observation_id":"ddfa3600-2290-4b02-b4b2-7005102b43df","resolution":{"observed_at":"2026-08-04T14:52:25.333811Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.18329","last_updated":"2025-05-28T19:20:26Z","snapshot_observed_at":"2026-08-07T14:30:50.138764Z","submitted_at":"2025-05-23T19:35:57Z","title":"Towards a double operadic theory of systems","version":2},"cited_work":{"arxiv_id":"2505.18329","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.18329","snapshot_observed_at":"2026-07-04T14:59:55.805091Z","title":"Towards a double operadic theory of systems","venue":null,"work_id":"abd734af-b53e-47a0-8d79-c9b33dc1ee00","year":2025},"citing_paper":{"arxiv_id":"2603.28906","last_updated":"2026-07-01T16:44:30Z","snapshot_observed_at":"2026-08-09T11:45:43.767512Z","submitted_at":"2026-03-30T18:34:27Z","title":"Working Paper: Towards a Category-theoretic Comparative Framework for Artificial General Intelligence","version":3},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-05-14T21:16:08.021432Z"},"links":{"cited_paper":"/paper/2505.18329","citing_paper":"/paper/2603.28906"},"observation_digest":"sha256:258716eaa651f19ffa1378ea4ce285b57ee8d1c99068c259603e7a853f1af40d","observation_id":"301aa962-579a-4c2d-abed-7168a604a844","resolution":{"observed_at":"2026-05-14T21:17:59.018757Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.18329","last_updated":"2025-05-28T19:20:26Z","snapshot_observed_at":"2026-08-07T14:30:50.138764Z","submitted_at":"2025-05-23T19:35:57Z","title":"Towards a double operadic theory of systems","version":2},"cited_work":{"arxiv_id":"2505.18329","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.18329","snapshot_observed_at":"2026-07-04T14:59:55.805091Z","title":"Towards a double operadic theory of systems","venue":null,"work_id":"abd734af-b53e-47a0-8d79-c9b33dc1ee00","year":2025},"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":21,"source":"pdf_text","source_observed_at":"2026-05-13T18:35:47.564184Z"},"links":{"cited_paper":"/paper/2505.18329","citing_paper":"/paper/2604.03017"},"observation_digest":"sha256:f72dd235afbcfa92f25400f1f9986068ede63d703403c9ce6561785b1e068cc3","observation_id":"6035210d-8430-4292-8158-e07fc5e7686f","resolution":{"observed_at":"2026-05-13T18:38:07.522474Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.18329","last_updated":"2025-05-28T19:20:26Z","snapshot_observed_at":"2026-08-07T14:30:50.138764Z","submitted_at":"2025-05-23T19:35:57Z","title":"Towards a double operadic theory of systems","version":2},"cited_work":{"arxiv_id":"2505.18329","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.18329","snapshot_observed_at":"2026-07-04T14:59:55.805091Z","title":"Towards a double operadic theory of systems","venue":null,"work_id":"abd734af-b53e-47a0-8d79-c9b33dc1ee00","year":2025},"citing_paper":{"arxiv_id":"2605.04516","last_updated":"2026-05-26T21:53:23Z","snapshot_observed_at":"2026-07-06T23:17:18.486586Z","submitted_at":"2026-05-06T05:49:02Z","title":"Enhanced $2$-categories of models of sketches as enhanced $2$-categories of algebras over monads","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-05-08T16:36:04.288905Z"},"links":{"cited_paper":"/paper/2505.18329","citing_paper":"/paper/2605.04516"},"observation_digest":"sha256:0873a216bd2b2e84d917e89c974d0af6fa81a8029e50bca9584040426b443a3c","observation_id":"802ab13f-d1fd-4af6-8046-b30409980ba1","resolution":{"observed_at":"2026-05-11T18:06:09.202952Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.18329","last_updated":"2025-05-28T19:20:26Z","snapshot_observed_at":"2026-08-07T14:30:50.138764Z","submitted_at":"2025-05-23T19:35:57Z","title":"Towards a double operadic theory of systems","version":2},"cited_work":{"arxiv_id":"2505.18329","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.18329","snapshot_observed_at":"2026-07-04T14:59:55.805091Z","title":"Towards a double operadic theory of systems","venue":null,"work_id":"abd734af-b53e-47a0-8d79-c9b33dc1ee00","year":2025},"citing_paper":{"arxiv_id":"2605.04516","last_updated":"2026-05-26T21:53:23Z","snapshot_observed_at":"2026-07-06T23:17:18.486586Z","submitted_at":"2026-05-06T05:49:02Z","title":"Enhanced $2$-categories of models of sketches as enhanced $2$-categories of algebras over monads","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-06-30T23:48:18.087365Z"},"links":{"cited_paper":"/paper/2505.18329","citing_paper":"/paper/2605.04516"},"observation_digest":"sha256:4321f224c96a09439c3070ecf4b5c966c195986e44b688e835f7c65d0d121321","observation_id":"ee48aa0d-9e31-474c-a142-a781fe250fbd","resolution":{"observed_at":"2026-07-01T13:15:45.957664Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.18329","last_updated":"2025-05-28T19:20:26Z","snapshot_observed_at":"2026-08-07T14:30:50.138764Z","submitted_at":"2025-05-23T19:35:57Z","title":"Towards a double operadic theory of systems","version":2},"cited_work":{"arxiv_id":"2505.18329","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.18329","snapshot_observed_at":"2026-07-04T14:59:55.805091Z","title":"Towards a double operadic theory of systems","venue":null,"work_id":"abd734af-b53e-47a0-8d79-c9b33dc1ee00","year":2025},"citing_paper":{"arxiv_id":"2606.26755","last_updated":"2026-06-25T08:40:18Z","snapshot_observed_at":"2026-08-06T11:22:57.860679Z","submitted_at":"2026-06-25T08:40:18Z","title":"On categories of monads and comonads in double categories","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-06-26T01:57:46.111850Z"},"links":{"cited_paper":"/paper/2505.18329","citing_paper":"/paper/2606.26755"},"observation_digest":"sha256:d20dfbdfc6789cbbdfea73b250ce49804894935e6b9d9884ed9664a87434a7a7","observation_id":"2b499f4f-bacd-4596-97fa-cce8bde8576b","resolution":{"observed_at":"2026-07-04T14:59:55.806568Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.18329","last_updated":"2025-05-28T19:20:26Z","snapshot_observed_at":"2026-08-07T14:30:50.138764Z","submitted_at":"2025-05-23T19:35:57Z","title":"Towards a double operadic theory of systems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.18329","snapshot_observed_at":"2026-08-01T18:00:34.432621Z","title":"Libkind, D","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.17455","last_updated":"2026-07-20T01:06:04Z","snapshot_observed_at":"2026-08-07T15:08:25.617502Z","submitted_at":"2026-07-20T01:06:04Z","title":"Dynamical Systems as Functorial Realisations of Abstract Evolution Shapes","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-01T18:00:34.432621Z"},"links":{"cited_paper":"/paper/2505.18329","citing_paper":"/paper/2607.17455"},"observation_digest":"sha256:f3d1a0b3bd1afea8b046dfe150ea48906285813fd6bbe76ce2641c34d5f2fe7b","observation_id":"00da4b25-5077-49bf-b2da-260176495368","resolution":{"observed_at":"2026-08-01T18:00:34.432621Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2505.18329/citation-record","integrity":"/paper/2505.18329/integrity","json":"/paper/2505.18329/citation-record.json","paper":"/paper/2505.18329"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.10368","last_updated":"2025-05-09T04:56:35Z","snapshot_observed_at":"2026-08-09T11:56:24.477540Z","submitted_at":"2025-02-14T18:47:07Z","title":"Generalised Process Theories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.10368","snapshot_observed_at":"2026-08-07T14:38:50.559441Z","title":"The Behavioral Approach to Open and Interconnected Systems","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2505.18329","last_updated":"2025-05-28T19:20:26Z","snapshot_observed_at":"2026-08-07T14:30:50.138764Z","submitted_at":"2025-05-23T19:35:57Z","title":"Towards a double operadic theory of systems","version":2},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-07T14:38:50.559441Z"},"links":{"cited_paper":"/paper/2502.10368","citing_paper":"/paper/2505.18329"},"observation_digest":"sha256:ca2c8940d17a34cd6f499409860751ccba76338f417dad175eac8154db93b495","observation_id":"18552214-9ce8-472a-b392-d2b8ffb16667","resolution":{"observed_at":"2026-08-07T14:38:50.559441Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:38:50.408937Z","title":"Cartesian double theories: A double-categorical framework for categorical doctrines","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.18329","last_updated":"2025-05-28T19:20:26Z","snapshot_observed_at":"2026-08-07T14:30:50.138764Z","submitted_at":"2025-05-23T19:35:57Z","title":"Towards a double operadic theory of systems","version":2},"reference_index":2962,"source":"pdf_text","source_observed_at":"2026-08-07T14:38:50.408937Z"},"links":{"citing_paper":"/paper/2505.18329"},"observation_digest":"sha256:793ff2c6d442d83f66550cf62dcb86e3243750d1d08bf0584cd119ea93a1a998","observation_id":"3a4b32e4-0a58-4fcc-beca-a04e0e1b42c6","resolution":{"observed_at":"2026-08-07T14:38:50.408937Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2505.18329","last_updated":"2025-05-28T19:20:26Z","latest_version":2,"primary_category":"math.CT","snapshot_observed_at":"2026-08-07T14:30:50.138764Z","submitted_at":"2025-05-23T19:35:57Z","title":"Towards a double operadic theory of systems"},"reference_resolution":{"displayed":2,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":2},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 2 of 2 outbound references and 8 inbound Pith citation observations for arXiv:2505.18329."}