{"as_of":"2026-08-14T06:23:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5dbeb9422d5d54919aada2d997327ad3448eddda68442196952c6f4b879407f0","coverage":[{"denominator":26,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":26,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T17:04:19.464746Z","state":"measured"},{"denominator":29,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":29,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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":"2026-08-04T19:02:05.308843Z","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":"2026-07-04T05:59:36.973176Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.09555","snapshot_observed_at":"2026-08-04T19:02:05.308843Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities.arXiv:2412.09555, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.09639","last_updated":"2025-09-11T17:26:37Z","snapshot_observed_at":"2026-08-09T13:54:02.132552Z","submitted_at":"2025-09-11T17:26:37Z","title":"On Zoll Contact 5-Spheres","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-04T19:02:05.308843Z"},"links":{"cited_paper":"/paper/2412.09555","citing_paper":"/paper/2509.09639"},"observation_digest":"sha256:3eb91f2ac1507d2c88c259f33cd591eb43f4868287ac1442f4db7be0773624a6","observation_id":"92adda42-1795-4939-b394-b5cd910dd4af","resolution":{"observed_at":"2026-08-04T19:02:05.308843Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"cited_work":{"arxiv_id":"2412.09555","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.09555","snapshot_observed_at":"2026-07-04T05:59:36.973176Z","title":"Gutt, and V","venue":null,"work_id":"538c3ade-7621-4bf1-aaac-d7f7a5bbb144","year":null},"citing_paper":{"arxiv_id":"2606.20051","last_updated":"2026-07-16T12:55:22Z","snapshot_observed_at":"2026-08-08T13:18:19.857925Z","submitted_at":"2026-06-18T10:26:21Z","title":"Lagrangian capacity and chain level string topology","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-06-26T15:11:28.756408Z"},"links":{"cited_paper":"/paper/2412.09555","citing_paper":"/paper/2606.20051"},"observation_digest":"sha256:4c918ed4fbe5eedfc562487110ab45eccf95cf4c48fc1cad98b323f2a414b59d","observation_id":"a1a5b9a3-d6ed-411d-aeed-2fee09f60309","resolution":{"observed_at":"2026-07-04T05:59:36.974823Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.09555","snapshot_observed_at":"2026-08-02T10:56:30.474084Z","title":"Gutt, and V","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.20051","last_updated":"2026-07-16T12:55:22Z","snapshot_observed_at":"2026-08-08T13:18:19.857925Z","submitted_at":"2026-06-18T10:26:21Z","title":"Lagrangian capacity and chain level string topology","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-02T10:56:30.474084Z"},"links":{"cited_paper":"/paper/2412.09555","citing_paper":"/paper/2606.20051"},"observation_digest":"sha256:6d0abc65bb7c7f10431bed88393811296329959cdbcf3ff61a925bd398df04ea","observation_id":"51e81824-3f6a-4be7-8b58-932f14f9e2a0","resolution":{"observed_at":"2026-08-02T10:56:30.474084Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2412.09555/citation-record","integrity":"/paper/2412.09555/integrity","json":"/paper/2412.09555/citation-record.json","paper":"/paper/2412.09555"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T17:04:22.974741Z","title":"Morse theory for strongly indefinite functionals and Hamiltonian systems","venue":null,"work_id":"a18c1c07-7c7f-49c7-87dd-3ba2d29381e2","year":1999},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:18.554839Z"},"links":{"citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:f87f9361604c20ac1bd76c1f98f6b814a937cd23553fb8432dc4a8c64c5b3c01","observation_id":"a77a7374-850f-4aca-a761-d95db8c53d07","resolution":{"observed_at":"2026-08-11T17:04:23.014758Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T17:04:22.864743Z","title":"Morse theory for H amiltonian systems , volume 425 of Chapman & Hall/CRC Research Notes in Mathematics","venue":null,"work_id":"636593d2-d9b5-4846-966c-05ba243f92c0","year":2001},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:18.589602Z"},"links":{"citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:86f2ef70a16e64a88ad130bb3a6a27fdea13087f97f4d26317b807d8e39cedb5","observation_id":"5f1c9b37-f1d3-43c8-a13a-49bf0800e777","resolution":{"observed_at":"2026-08-11T17:04:22.871338Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T17:04:22.694740Z","title":"Symplectic homology of convex domains and C larke's duality","venue":null,"work_id":"30b14b57-3168-4bfb-9933-5fa2c1762d9d","year":2022},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:18.614871Z"},"links":{"citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:c67f8d08414ef4251a7b7ea93d327cb51b0f280ed71e40ddfa4ba6848dc21848","observation_id":"7b160ea2-dbb8-4105-8315-201142811105","resolution":{"observed_at":"2026-08-11T17:04:22.742315Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T17:04:22.514182Z","title":"Morse homology on hilbert spaces","venue":null,"work_id":"e071ffa2-2fdc-4006-8ac5-be3c98849966","year":2001},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:18.674826Z"},"links":{"citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:6039cbaabbdd719fd2f9b9a48417d71a2e2863d4e43a9a176a7f8d29f734581b","observation_id":"b69d1450-8805-4bcb-a488-db9805487b77","resolution":{"observed_at":"2026-08-11T17:04:22.561902Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T17:04:22.364751Z","title":"Ordinary differential operators in hilbert spaces and fredholm pairs","venue":null,"work_id":"59e1e7ba-adf5-4129-96da-acf50566c31e","year":2003},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:18.714740Z"},"links":{"citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:b58dc85cf5ff3b89f015da9725e5a2022e423a980fcb030399ac22aacf398bfd","observation_id":"05a7d453-3885-42b5-b51a-8d693ee0e221","resolution":{"observed_at":"2026-08-11T17:04:22.405356Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T17:04:22.184735Z","title":"When the morse index is infinite","venue":null,"work_id":"c2f9178b-7e53-431f-afae-8ded125328a8","year":2004},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:18.755834Z"},"links":{"citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:7dd82fa436721f1de762de710ec2588312129652746a0d94b95470a5ca74e497","observation_id":"25ab93d7-a0c1-47af-8c10-f620ced70984","resolution":{"observed_at":"2026-08-11T17:04:22.234756Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T17:04:22.031552Z","title":"A morse complex for infinite dimensional manifolds--part i","venue":null,"work_id":"41263950-0b60-45cf-994e-d891c8c4f709","year":2005},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:18.804827Z"},"links":{"citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:32ff666b001b0ba1ff80f191170be132369f613a90b5c6e07b345fb4c8a45064","observation_id":"7dd38725-4405-4c02-a5f8-50df4cedb092","resolution":{"observed_at":"2026-08-11T17:04:22.074735Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T17:04:21.864882Z","title":"S^1 -equivariant symplectic homology and linearized contact homology","venue":null,"work_id":"e055827a-482b-439f-940f-fd588af90e3d","year":2016},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:18.835036Z"},"links":{"citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:69ae3b93d922529564fac1278945da7f5845c7461391a957dc1a8ad5367f3f95","observation_id":"7df713e4-5a27-4cc1-932a-a887f2134499","resolution":{"observed_at":"2026-08-11T17:04:21.914739Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T17:04:21.744739Z","title":"Cieliebak, A","venue":null,"work_id":"5a954e1e-d10a-4bab-91db-14077d472676","year":1995},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:18.884811Z"},"links":{"citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:0c5479851f4b9538b89ee819178ae08f0cf7b10444f2dd70523c806d03c7f9b2","observation_id":"44811f91-7505-49b8-9cc8-cb08d68e69c1","resolution":{"observed_at":"2026-08-11T17:04:21.795064Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T17:04:21.622552Z","title":"Symplectic topology and H amiltonian dynamics","venue":null,"work_id":"5504d4ae-90a6-45eb-ad87-7e41f53970e2","year":1989},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:18.924742Z"},"links":{"citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:84dc37eb71928d48b727338e6cadd7ad9a8f27bb6d4d47ff01f96d846c375fc9","observation_id":"f022f57a-0fc7-4343-a86f-2f4c8eec5593","resolution":{"observed_at":"2026-08-11T17:04:21.645739Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T17:04:21.489133Z","title":"Symplectic topology and H amiltonian dynamics","venue":null,"work_id":"df155f30-f929-40ce-800e-c5c43d01152d","year":1990},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:18.962695Z"},"links":{"citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:4e5fbbe8ee79a96e56476cc3f11584e52a073c1f4a93b871dbe2d703f24da84d","observation_id":"b8ce8746-6044-43cc-87df-249e5e140b2f","resolution":{"observed_at":"2026-08-11T17:04:21.534804Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T17:04:21.334815Z","title":"Floer and H","venue":null,"work_id":"c6136d38-2245-4db4-9a13-acebb60df580","year":1993},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:19.004742Z"},"links":{"citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:b1bc44af363e55d498234443e41660a495bffd369abebb8d38a105739e147256","observation_id":"4c520f1d-35ac-4c7c-85d2-d6aa1240cc72","resolution":{"observed_at":"2026-08-11T17:04:21.369562Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T17:04:21.208462Z","title":"Floer and H","venue":null,"work_id":"7f667c15-470d-4490-9c02-699a026b3897","year":1994},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:19.050285Z"},"links":{"citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:dd038c2b747ae7a18f50afc9687ce3f86923325c3a70995b62bcea5f57613529","observation_id":"191f7dd0-b063-409c-80fd-0ed48e564877","resolution":{"observed_at":"2026-08-11T17:04:21.235833Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T17:04:21.086682Z","title":"Symplectic capacities from positive S 1--equivariant symplectic homology","venue":null,"work_id":"35907a46-8060-403b-afce-f1d9e4225b0f","year":2018},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:19.077049Z"},"links":{"citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:ca86a4f130eef710540f7a460cbe863ac91d8ac3cbb42e5c6144fd40f6f21243","observation_id":"df39cb74-f085-4085-ad64-f8ee67de183e","resolution":{"observed_at":"2026-08-11T17:04:21.124745Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T17:04:20.976792Z","title":"Pseudoholomorphic curves in symplectic manifolds","venue":null,"work_id":"c387c170-06fe-469b-96d5-fd3bef8d8c74","year":1985},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:19.110275Z"},"links":{"citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:ecb93e673615813886bf53c5a7fba6c2f8f4e8e252787883b230808520c053ce","observation_id":"9e5a68bd-afbc-40a4-bb87-f3ed40d1347a","resolution":{"observed_at":"2026-08-11T17:04:21.016365Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T17:04:20.885555Z","title":"Floer theory and reduced cohomology on open manifolds","venue":null,"work_id":"f1296102-5ec9-4586-9564-3cde0fa69074","year":2023},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:19.156340Z"},"links":{"citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:e169f4325486f74af1dca5b90e728ad8e51506e63ebb85afdc38f4be26c50de1","observation_id":"33cd8b6b-441b-456f-8783-c148cd84af29","resolution":{"observed_at":"2026-08-11T17:04:20.897593Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T17:04:20.818325Z","title":"The positive equivariant symplectic homology as an invariant for some contact manifolds","venue":null,"work_id":"8e9f9f26-0001-49ab-99ca-a526c6fa8086","year":2017},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:19.173987Z"},"links":{"citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:5a1cc191231104c77c6393105fb81fae957fa37a2c1125f915748a4ed150fb80","observation_id":"1a044e6c-c262-451f-8251-477227b425a2","resolution":{"observed_at":"2026-08-11T17:04:20.827441Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T17:04:20.664817Z","title":"Isomorphic chain complexes of H amiltonian dynamics on tori","venue":null,"work_id":"526e86cf-e090-440a-9d58-733ad4a2d45a","year":2013},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:19.195350Z"},"links":{"citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:fb3324578f89e47f782d59bde15e5797df153d1bf781739c40cbce09b5e595c3","observation_id":"672ee22e-a59d-4a41-b4f3-1f50cd6a0e84","resolution":{"observed_at":"2026-08-11T17:04:20.704754Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T17:04:20.539282Z","title":"Symplectic Invariants and Hamiltonian Dynamics","venue":null,"work_id":"13541f47-a4ab-41e9-8fab-fbbfd4889271","year":2011},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:19.226253Z"},"links":{"citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:729958f49fcde00571ca140a163ca5b41d063f55d671d0ff13e6062d326a2573","observation_id":"d2593f1a-d155-4933-a48c-2f0f18bddcfa","resolution":{"observed_at":"2026-08-11T17:04:20.574931Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.13673","last_updated":"2025-02-12T17:24:30Z","snapshot_observed_at":"2026-08-13T12:57:44.048464Z","submitted_at":"2024-10-17T15:32:30Z","title":"Positive ($S^1$-equivariant) symplectic homology of convex domains, higher capacities, and Clarke's duality","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.13673","snapshot_observed_at":"2026-08-11T17:04:19.254903Z","title":"Positive ( S^1 -equivariant) symplectic homology of convex domains, higher capacities, and C larke's duality","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:19.254903Z"},"links":{"cited_paper":"/paper/2410.13673","citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:d71afc3f99ccd5655c49080af5599bfd835b62cee069ddb319fb5dcdddd13a2d","observation_id":"d82968cc-a7f8-4432-833f-4afdef674ebf","resolution":{"observed_at":"2026-08-11T17:04:19.254903Z","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":"2026-08-11T17:04:20.394833Z","title":"Fibered symplectic cohomology and the L eray- S erre spectral sequence","venue":null,"work_id":"4db3f130-5ed7-45ed-86bc-0fb105910949","year":2008},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:19.295088Z"},"links":{"citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:328a4e49431bcf9c6462ed93e1b0ca3a56e3b1b62985b0699215a00731df8d6c","observation_id":"e6b0d75e-4ac2-4c7f-aa6b-9fc33f8fe2d5","resolution":{"observed_at":"2026-08-11T17:04:20.445362Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T17:04:20.248848Z","title":null,"venue":null,"work_id":"3e929fef-62cb-4ad1-8c4d-3400e2cc65f8","year":2013},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:19.323414Z"},"links":{"citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:3f097924ea75c6073b3aa5abea28eb89d45429ff3d484d969fc04a91db61b50c","observation_id":"9c08ed0d-e2bd-44ef-be01-31a8c25386b9","resolution":{"observed_at":"2026-08-11T17:04:20.294744Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-11T17:04:20.114594Z","title":null,"venue":null,"work_id":"03850045-f57b-414f-a35c-fc0957679789","year":1995},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:19.364057Z"},"links":{"citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:ec60c9f3a857718b5e3653a24b154b952c08719d99720c2d09232c6afbcabf2b","observation_id":"a5d8de9f-fb5b-4ca7-ad93-8acda3aaa57e","resolution":{"observed_at":"2026-08-11T17:04:20.134359Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T17:04:19.380630Z","title":"A biased view of symplectic cohomology","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:19.380630Z"},"links":{"citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:6b5566c264a6157e4ba6a463d760a72e2445e2f5fde5184c957fe33a7c0f1939","observation_id":"c74d4dbf-19cf-4b64-a13e-e4a8938a727e","resolution":{"observed_at":"2026-08-11T17:04:19.380630Z","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":"2026-08-11T17:04:19.414735Z","title":"Functors and computations in F loer homology with applications","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:19.414735Z"},"links":{"citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:a1f5102de00fb3fe2930bf37503c1f0bcbf3b3d7416f9054cced829e5780352e","observation_id":"ea0007a6-1001-4b35-ba3f-89d909f38600","resolution":{"observed_at":"2026-08-11T17:04:19.414735Z","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":"2026-08-11T17:04:19.826912Z","title":"Notes taken during F loer's talk at the MSRI in 1988","venue":null,"work_id":"7fde9e22-ab73-4758-bc58-0fe65fc48332","year":1988},"citing_paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-11T17:04:19.464746Z"},"links":{"citing_paper":"/paper/2412.09555"},"observation_digest":"sha256:240835559d5aad5de82b51b241c3bab7a4afc8f6fd13b16e94b5eafb09225ca3","observation_id":"ef966bf7-a365-4003-bf58-fb5bfa086563","resolution":{"observed_at":"2026-08-11T17:04:19.864742Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.09555","last_updated":"2024-12-12T18:44:11Z","latest_version":1,"primary_category":"math.SG","snapshot_observed_at":"2026-08-13T13:58:26.924745Z","submitted_at":"2024-12-12T18:44:11Z","title":"The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities"},"reference_resolution":{"displayed":26,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":0,"verified_fuzzy":21},"total_outbound_references":26},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 3 inbound Pith citation observations for arXiv:2412.09555."}