{"as_of":"2026-08-17T19:01:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1db055bc356e49cfea184eb834e657e38ac391f06ab897d9f105eba22308239e","coverage":[{"denominator":22,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":22,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T18:40:41.830445Z","state":"measured"},{"denominator":25,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":25,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T10:57:17.722168Z","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":"2026-05-19T16:52:40.049151Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.20122","snapshot_observed_at":"2026-08-03T10:57:17.722168Z","title":"Blakey and C.M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2601.08506","last_updated":"2026-07-16T17:30:43Z","snapshot_observed_at":"2026-08-16T12:46:51.857803Z","submitted_at":"2026-01-13T12:42:16Z","title":"Ample divisor complements, Floer spectra, and relative Gromov-Witten theory","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-03T10:57:17.722168Z"},"links":{"cited_paper":"/paper/2506.20122","citing_paper":"/paper/2601.08506"},"observation_digest":"sha256:54dbc5e9d12b2c875d32f88481182f617f9e563da1c6ea606b6d70dad6618853","observation_id":"9cfa5ce0-8162-4c8c-894d-cb5d95ba2e48","resolution":{"observed_at":"2026-08-03T10:57:17.722168Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy","version":2},"cited_work":{"arxiv_id":"2506.20122","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.20122","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"[Bla] Kenneth Blakey","venue":null,"work_id":"be5cc18b-e3b4-46b4-a914-8ddf70daae26","year":1992},"citing_paper":{"arxiv_id":"2605.06620","last_updated":"2026-05-15T12:26:10Z","snapshot_observed_at":"2026-08-06T03:48:41.088836Z","submitted_at":"2026-05-07T17:34:40Z","title":"Bulk-deformations, Floer complex bordism, and Grothendieck-Riemann-Roch","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-08T03:09:49.744142Z"},"links":{"cited_paper":"/paper/2506.20122","citing_paper":"/paper/2605.06620"},"observation_digest":"sha256:3a4cbd93cc974ba7f3387f9e3ee7c8f29617f9d589833506a76bf98a082b76de","observation_id":"bf6c2f83-f4eb-4069-a558-ef498c534831","resolution":{"observed_at":"2026-05-11T22:16:22.340201Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy","version":2},"cited_work":{"arxiv_id":"2506.20122","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.20122","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"[Bla] Kenneth Blakey","venue":null,"work_id":"be5cc18b-e3b4-46b4-a914-8ddf70daae26","year":1992},"citing_paper":{"arxiv_id":"2605.06620","last_updated":"2026-05-15T12:26:10Z","snapshot_observed_at":"2026-08-06T03:48:41.088836Z","submitted_at":"2026-05-07T17:34:40Z","title":"Bulk-deformations, Floer complex bordism, and Grothendieck-Riemann-Roch","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-19T16:49:57.759384Z"},"links":{"cited_paper":"/paper/2506.20122","citing_paper":"/paper/2605.06620"},"observation_digest":"sha256:f68e0b56dddea0841d05e0e555fa2f8c24f909ae5ee07f20aa2ebdaf42fea67b","observation_id":"c3fce144-ca0e-44da-948b-fd83ea5f2b2c","resolution":{"observed_at":"2026-05-19T16:52:40.050730Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2506.20122/citation-record","integrity":"/paper/2506.20122/integrity","json":"/paper/2506.20122/citation-record.json","paper":"/paper/2506.20122"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2404.03193","last_updated":"2024-07-30T18:27:46Z","snapshot_observed_at":"2026-08-16T14:03:45.122799Z","submitted_at":"2024-04-04T04:25:01Z","title":"Foundation of Floer homotopy theory I: Flow categories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.03193","snapshot_observed_at":"2026-08-15T18:40:41.720563Z","title":"Abouzaid and A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-15T18:40:41.720563Z"},"links":{"cited_paper":"/paper/2404.03193","citing_paper":"/paper/2506.20122"},"observation_digest":"sha256:7e97f8b513a38caa531408b0d840c665b9514aee77f1c018a1a67f2df60a1e50","observation_id":"9e1bf8e0-023a-4499-a280-67e1b9df0b7f","resolution":{"observed_at":"2026-08-15T18:40:41.720563Z","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":"2026-08-15T18:40:41.726473Z","title":"Asplund, Y","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-15T18:40:41.726473Z"},"links":{"citing_paper":"/paper/2506.20122"},"observation_digest":"sha256:e77c375b2aa0d8f9095e6ab6bf6fe27f85924413f768d133e00a7cc4f10c5819","observation_id":"d8f05bf0-f329-486c-be0c-4ff717c43454","resolution":{"observed_at":"2026-08-15T18:40:41.726473Z","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":"2026-08-15T18:40:41.731433Z","title":"\\'Alvarez-Gavela, T","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-15T18:40:41.731433Z"},"links":{"citing_paper":"/paper/2506.20122"},"observation_digest":"sha256:ed3f7dbdbcc48360d506a8ca8879e2180dd2ea9515e86b0564437c70325baff8","observation_id":"3f34826e-b0c2-4ceb-b10f-505d734ca3d7","resolution":{"observed_at":"2026-08-15T18:40:41.731433Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:40:42.448445Z","title":null,"venue":null,"work_id":"3c2398d8-8690-4c5f-b99c-c03d7fa4492d","year":null},"citing_paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-15T18:40:41.736603Z"},"links":{"citing_paper":"/paper/2506.20122"},"observation_digest":"sha256:161061a99d98cc34e5bb4fe2cea514ac6afce40f63d9f50b9b2058595b49b38c","observation_id":"a1a549bf-c3fa-4846-bc1e-d43e5d4d88d3","resolution":{"observed_at":"2026-08-15T18:40:42.453234Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2410.11478","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:40:42.061075Z","title":null,"venue":null,"work_id":"1d5d865b-e501-4eeb-87e1-b87ae83272ba","year":2024},"citing_paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-15T18:40:41.743681Z"},"links":{"citing_paper":"/paper/2506.20122"},"observation_digest":"sha256:37b51aca0f08a1d36cdddad9610f84a4538d4b8e92f4ae7ad37567ed7e79e94f","observation_id":"97061a00-fd44-4b8f-a2be-71587a408387","resolution":{"observed_at":"2026-08-15T18:40:42.070594Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.11278","last_updated":"2025-01-13T16:52:39Z","snapshot_observed_at":"2026-08-16T13:17:47.595977Z","submitted_at":"2024-09-17T15:29:19Z","title":"Revisiting the Cohen-Jones-Segal construction in Morse-Bott theory","version":3},"cited_work":{"arxiv_id":"2409.11278","doi":null,"metadata_source":"pith","pith_arxiv_id":"2409.11278","snapshot_observed_at":"2026-08-15T18:40:41.951925Z","title":"Revisiting the Cohen-Jones-Segal construction in Morse-Bott theory","venue":"math.AT","work_id":"14a28386-809e-4320-b769-03301a43329f","year":2024},"citing_paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-15T18:40:41.749175Z"},"links":{"cited_paper":"/paper/2409.11278","citing_paper":"/paper/2506.20122"},"observation_digest":"sha256:d997eb51a09e9c62156414e9e62c0bd7ff9db2a257fb5494b769bc586f7fa27d","observation_id":"63e94308-71bd-49d8-a4b4-0ac6c9705e56","resolution":{"observed_at":"2026-08-15T18:40:41.957167Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.17431","last_updated":"2025-07-04T16:32:46Z","snapshot_observed_at":"2026-08-17T11:25:00.951581Z","submitted_at":"2025-06-20T18:52:59Z","title":"Floer homotopy theory for monotone Lagrangians","version":2},"cited_work":{"arxiv_id":"2506.17431","doi":null,"metadata_source":"pith","pith_arxiv_id":"2506.17431","snapshot_observed_at":"2026-08-15T18:40:41.930192Z","title":"Floer homotopy theory for monotone Lagrangians","venue":"math.SG","work_id":"95be0573-d819-4abd-bf7a-01c548b517a0","year":2025},"citing_paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-15T18:40:41.755043Z"},"links":{"cited_paper":"/paper/2506.17431","citing_paper":"/paper/2506.20122"},"observation_digest":"sha256:4fed4467528484e83f571f151499a48e9eafa58660617f18390f591acda230db","observation_id":"4f6bd395-3161-4006-baa7-dd80dcd46c80","resolution":{"observed_at":"2026-08-15T18:40:41.935924Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:40:42.432450Z","title":"Cohen, J","venue":null,"work_id":"774bc9f6-9d2b-4f76-aab8-98a4918deea0","year":1995},"citing_paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-15T18:40:41.760990Z"},"links":{"citing_paper":"/paper/2506.20122"},"observation_digest":"sha256:94ba8683b1f1fa904e3a1a3ea44aeafdb90ce9a18fade740bb4dd3ea22e07ba1","observation_id":"e9815cb7-de3e-4805-9538-2b24dad87555","resolution":{"observed_at":"2026-08-15T18:40:42.438131Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2309.15089","last_updated":"2024-03-06T16:46:47Z","snapshot_observed_at":"2026-08-16T14:57:26.716869Z","submitted_at":"2023-09-26T17:32:04Z","title":"Equivariant Floer homotopy via Morse-Bott theory","version":2},"cited_work":{"arxiv_id":"2309.15089","doi":null,"metadata_source":"pith","pith_arxiv_id":"2309.15089","snapshot_observed_at":"2026-08-15T18:40:41.908358Z","title":"Equivariant Floer homotopy via Morse-Bott theory","venue":"math.AT","work_id":"f65294ef-2cb5-48cc-895d-c4cae378396e","year":2023},"citing_paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-15T18:40:41.766034Z"},"links":{"cited_paper":"/paper/2309.15089","citing_paper":"/paper/2506.20122"},"observation_digest":"sha256:e0ed32dbac7c2b4aebf3118cb726747303fc8b1f6bd3165a27ef882bbd992544","observation_id":"9922f84c-b66c-4b5e-a009-b1976c96ba40","resolution":{"observed_at":"2026-08-15T18:40:41.913346Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:40:42.416559Z","title":null,"venue":null,"work_id":"8307b4d2-506e-466f-bcc5-3b85956252ea","year":1988},"citing_paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-15T18:40:41.771348Z"},"links":{"citing_paper":"/paper/2506.20122"},"observation_digest":"sha256:61a4b4e689fd722d9b60e32de3ef53a176168233d4a6ec7149191c7a83e2b294","observation_id":"adcc79e7-530f-4623-8357-d204fa609b4a","resolution":{"observed_at":"2026-08-15T18:40:42.421659Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:40:42.400549Z","title":null,"venue":null,"work_id":"885ea773-234f-49b3-a17d-f93937a74fe9","year":1988},"citing_paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-15T18:40:41.776014Z"},"links":{"citing_paper":"/paper/2506.20122"},"observation_digest":"sha256:d27b99365b8433f4589c6e4427b5f2fb72cc595da607d5a9adbb7c793451b956","observation_id":"2d4b4a28-9997-4259-8122-80c4327e73f9","resolution":{"observed_at":"2026-08-15T18:40:42.405775Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:40:42.383866Z","title":null,"venue":null,"work_id":"9e38498f-70d1-46e9-9218-0fa3d96373dd","year":1989},"citing_paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-15T18:40:41.780927Z"},"links":{"citing_paper":"/paper/2506.20122"},"observation_digest":"sha256:adf9a8bd2b622e4be8a41f9a4f852d64b459e51524fb9faa6eeadb4b6b08d889","observation_id":"81dc3ac4-1586-4d74-af84-d6d7bbe20134","resolution":{"observed_at":"2026-08-15T18:40:42.388929Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:40:42.368146Z","title":null,"venue":null,"work_id":"980885a1-e7d2-4441-bdd6-00316458ff95","year":1988},"citing_paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-15T18:40:41.786464Z"},"links":{"citing_paper":"/paper/2506.20122"},"observation_digest":"sha256:374148dc33f26e6eac28fb28b3e8c513c37b87cf5bebd3b85a86fffe90c24a9a","observation_id":"8c56f36d-061f-4eac-ad19-12ca6cd854ed","resolution":{"observed_at":"2026-08-15T18:40:42.373069Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:40:42.351896Z","title":"Hirschi and N","venue":null,"work_id":"ffd29195-d151-4b47-89cc-54c407d9809b","year":2022},"citing_paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-15T18:40:41.791523Z"},"links":{"citing_paper":"/paper/2506.20122"},"observation_digest":"sha256:78d965f8a2a71a0d478e7ed55553c1998e601f348bdefd68a239ebd67dafa1ef","observation_id":"9dc28048-0e3c-4176-b2fb-8adfcf5270ce","resolution":{"observed_at":"2026-08-15T18:40:42.356858Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:40:42.334718Z","title":null,"venue":null,"work_id":"7511fdac-c4c5-4213-b3a3-475d77dcabb0","year":2021},"citing_paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-15T18:40:41.796453Z"},"links":{"citing_paper":"/paper/2506.20122"},"observation_digest":"sha256:1461d5828aaecf1022de2466acbc353723cbac1e44b58d5f3605b9541996ce95","observation_id":"a436208b-c16f-49fc-8f18-1aad3ff0aa09","resolution":{"observed_at":"2026-08-15T18:40:42.340189Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:40:42.317845Z","title":null,"venue":null,"work_id":"be2d0bb3-9d4f-406b-9106-454b13e1acf7","year":2000},"citing_paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-15T18:40:41.801166Z"},"links":{"citing_paper":"/paper/2506.20122"},"observation_digest":"sha256:1301177400c10301d8b5b8e66df35a01f06ad3841e9b28568a2062e45c40c706","observation_id":"66cf7534-adcc-41cb-a34e-4f6ff8df5bf0","resolution":{"observed_at":"2026-08-15T18:40:42.322798Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:40:42.301923Z","title":"Laudenbach and J.-C","venue":null,"work_id":"3ee0779c-432b-4a99-b3ac-b5c99e4b8e8a","year":1985},"citing_paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-15T18:40:41.805987Z"},"links":{"citing_paper":"/paper/2506.20122"},"observation_digest":"sha256:64d7d99f434976b8a46259fa31f8905406f117d611cebcb05e5a38a31c794a5d","observation_id":"f0bd8af2-9195-4bff-9b0e-0d96d22cee9c","resolution":{"observed_at":"2026-08-15T18:40:42.307143Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:40:42.286396Z","title":"Po \\'z niak","venue":null,"work_id":"9bf9a545-eed2-4259-b53e-9016cbb7b4d6","year":1994},"citing_paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-15T18:40:41.810743Z"},"links":{"citing_paper":"/paper/2506.20122"},"observation_digest":"sha256:04736a171253ef7a37f472ffaca21f5fd4029eb5ef78543ae33a20905b742e91","observation_id":"40027ea8-257e-43bc-b390-c8a264931b62","resolution":{"observed_at":"2026-08-15T18:40:42.291337Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.11766","last_updated":"2024-05-20T12:11:30Z","snapshot_observed_at":"2026-08-16T14:25:40.248012Z","submitted_at":"2024-01-22T09:01:36Z","title":"Bordism of flow modules and exact Lagrangians","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.11766","snapshot_observed_at":"2026-08-15T18:40:41.815452Z","title":"Porcelli and I","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-15T18:40:41.815452Z"},"links":{"cited_paper":"/paper/2401.11766","citing_paper":"/paper/2506.20122"},"observation_digest":"sha256:c7476f826395d4a7981de6d7d5a95f9b62ed69be94b5f98ded6a56a4c1d6622f","observation_id":"c8288cdc-b06d-4dad-b741-a6afec9b76b6","resolution":{"observed_at":"2026-08-15T18:40:41.815452Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.03257","last_updated":"2025-08-05T15:34:39Z","snapshot_observed_at":"2026-08-16T13:02:41.896033Z","submitted_at":"2024-11-05T16:55:08Z","title":"Spectral Floer theory and tangential structures","version":3},"cited_work":{"arxiv_id":"2411.03257","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.03257","snapshot_observed_at":"2026-08-15T18:40:41.867369Z","title":"Spectral Floer theory and tangential structures","venue":"math.SG","work_id":"19edde81-f0c7-4ae6-8be8-0192c3631ead","year":2024},"citing_paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-15T18:40:41.820369Z"},"links":{"cited_paper":"/paper/2411.03257","citing_paper":"/paper/2506.20122"},"observation_digest":"sha256:1886b8c90383d5b4dc3e7f660bfbf548370bbe5ea4fe6caa6690e25aa73f77a3","observation_id":"276bc92b-21ee-44db-9182-08b1b9a8fd0d","resolution":{"observed_at":"2026-08-15T18:40:41.874598Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:40:42.270808Z","title":null,"venue":null,"work_id":"3fb2d023-0298-4a05-bc70-30328f854935","year":2000},"citing_paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-15T18:40:41.825699Z"},"links":{"citing_paper":"/paper/2506.20122"},"observation_digest":"sha256:843f73b8f28e2bd891819d5a0d56891d7a32a0db99bdf31c8e21186e78cfd43d","observation_id":"60629f17-09b7-4922-8778-5e19d1577698","resolution":{"observed_at":"2026-08-15T18:40:42.275647Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:40:42.252552Z","title":null,"venue":null,"work_id":"df1a87d4-87f3-4a79-8c00-05fd18591338","year":2018},"citing_paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-15T18:40:41.830445Z"},"links":{"citing_paper":"/paper/2506.20122"},"observation_digest":"sha256:a4dd9f2b21d2dc402ea56fdcec774c60714f243ed031d243c66aaf782c9f72ae","observation_id":"dcdeafa9-3d45-4e41-877f-38fe2ca35437","resolution":{"observed_at":"2026-08-15T18:40:42.258102Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.20122","last_updated":"2025-07-03T03:45:14Z","latest_version":2,"primary_category":"math.SG","snapshot_observed_at":"2026-08-17T16:08:00.296260Z","submitted_at":"2025-06-25T04:26:58Z","title":"Parameterized Lagrangian Floer homotopy"},"reference_resolution":{"displayed":22,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":13,"verified_exact":5,"verified_fuzzy":4},"total_outbound_references":22},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 3 inbound Pith citation observations for arXiv:2506.20122."}