{"as_of":"2026-08-18T17:58:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:613341c230111711626c0176b045d26a8ae00c6c206ef93fd1f769fe52d7fb7e","coverage":[{"denominator":23,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":23,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T16:32:56.282078Z","state":"measured"},{"denominator":23,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":23,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2509.04890/citation-record","integrity":"/paper/2509.04890/integrity","json":"/paper/2509.04890/citation-record.json","paper":"/paper/2509.04890"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T16:32:56.198132Z","title":"Atiyah, Convexity and commuting Hamiltonians, Bull","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2509.04890","last_updated":"2025-09-05T08:12:50Z","snapshot_observed_at":"2026-08-18T15:15:21.896766Z","submitted_at":"2025-09-05T08:12:50Z","title":"On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-15T16:32:56.198132Z"},"links":{"citing_paper":"/paper/2509.04890"},"observation_digest":"sha256:e714225d3bc2887bb25e4fc3748f86f98efcf653c62c4f0e157eeb8eb8e3e9a8","observation_id":"bd1abda4-f1a3-4dde-a6ac-00f5beb2862b","resolution":{"observed_at":"2026-08-15T16:32:56.198132Z","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":"2026-08-15T16:32:56.202358Z","title":"Cho, Classification of six-dimensional monotone symplectic manifolds admitting semifree circle actions I, Internat.\\ J.\\ Math.\\ 30 (2019), no.\\ 6, Paper No.\\ 1950032, 71 pp","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.04890","last_updated":"2025-09-05T08:12:50Z","snapshot_observed_at":"2026-08-18T15:15:21.896766Z","submitted_at":"2025-09-05T08:12:50Z","title":"On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-15T16:32:56.202358Z"},"links":{"citing_paper":"/paper/2509.04890"},"observation_digest":"sha256:38de706aaaaa838753fdc67a7bf443097d144db16e115fad5285bad7a1436475","observation_id":"8dcc2d63-5ad2-4c73-a94d-99a12c389434","resolution":{"observed_at":"2026-08-15T16:32:56.202358Z","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":"2026-08-15T16:32:56.206101Z","title":"Cho, Classification of six-dimensional monotone symplectic manifolds admitting semifree circle actions II, Internat.\\ J.\\ Math.\\ 32 (2021), no.\\ 2, Paper No.\\ 2050120, 47 pp","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.04890","last_updated":"2025-09-05T08:12:50Z","snapshot_observed_at":"2026-08-18T15:15:21.896766Z","submitted_at":"2025-09-05T08:12:50Z","title":"On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-15T16:32:56.206101Z"},"links":{"citing_paper":"/paper/2509.04890"},"observation_digest":"sha256:8804d46286158351c7866edbbb10966048d6c4a120a069f6e3e75e6e81ff1bf9","observation_id":"f99a81b4-8bf6-4532-8fe3-36c2c8663166","resolution":{"observed_at":"2026-08-15T16:32:56.206101Z","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":"2026-08-15T16:32:56.209895Z","title":"Cho, Classification of six-dimensional monotone symplectic manifolds admitting semifree circle actions III, Internat.\\ J.\\ Math.\\ 32 (2021), no.\\ 2, Paper No.\\ 2050106, 58 pp","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.04890","last_updated":"2025-09-05T08:12:50Z","snapshot_observed_at":"2026-08-18T15:15:21.896766Z","submitted_at":"2025-09-05T08:12:50Z","title":"On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-15T16:32:56.209895Z"},"links":{"citing_paper":"/paper/2509.04890"},"observation_digest":"sha256:d619492af8507847616212ab55723c60e678e1eb5c003f4d7c5d935ae813a0a8","observation_id":"169671e9-0175-423e-baa8-167a6970f76e","resolution":{"observed_at":"2026-08-15T16:32:56.209895Z","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":"2026-08-15T16:32:56.213958Z","title":"Delzant, Hamiltoniens p\\'eriodiques et images convexes de l'application moment, Bull","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2509.04890","last_updated":"2025-09-05T08:12:50Z","snapshot_observed_at":"2026-08-18T15:15:21.896766Z","submitted_at":"2025-09-05T08:12:50Z","title":"On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-15T16:32:56.213958Z"},"links":{"citing_paper":"/paper/2509.04890"},"observation_digest":"sha256:a88ac757a0f786eb2ba4ae89ea71589332eac12d6f2e04792770c7abada74dbc","observation_id":"29d153c1-d823-407e-ba45-558cf60b19e5","resolution":{"observed_at":"2026-08-15T16:32:56.213958Z","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":"2026-08-15T16:32:56.499075Z","title":null,"venue":null,"work_id":"ab4f6e33-7b6c-4cac-9331-13e980ab0f63","year":1971},"citing_paper":{"arxiv_id":"2509.04890","last_updated":"2025-09-05T08:12:50Z","snapshot_observed_at":"2026-08-18T15:15:21.896766Z","submitted_at":"2025-09-05T08:12:50Z","title":"On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-15T16:32:56.217606Z"},"links":{"citing_paper":"/paper/2509.04890"},"observation_digest":"sha256:26a0dc9d914477db5eac05d491f3ffda6af7222789dac0d5646133ca833e6e8f","observation_id":"793aea52-d870-4d0d-872a-4e2db2faaab9","resolution":{"observed_at":"2026-08-15T16:32:56.503190Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:32:56.222238Z","title":"Gonzales, Classifying semi-free Hamiltonian S^1 -manifolds, International Mathematics Research Notices 2011 (2011), no.\\ 2, 387--418","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2509.04890","last_updated":"2025-09-05T08:12:50Z","snapshot_observed_at":"2026-08-18T15:15:21.896766Z","submitted_at":"2025-09-05T08:12:50Z","title":"On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-15T16:32:56.222238Z"},"links":{"citing_paper":"/paper/2509.04890"},"observation_digest":"sha256:b47981cea4d5d21f2fa56acee15967ca0044ac50952db46f5b9aecb6b9b15d0f","observation_id":"2d085ed9-42cf-4200-9c08-c72c4cce6d4f","resolution":{"observed_at":"2026-08-15T16:32:56.222238Z","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":"2026-08-15T16:32:56.477672Z","title":null,"venue":null,"work_id":"605aa87e-bd0f-41ce-bb58-f9ea07e6717f","year":2022},"citing_paper":{"arxiv_id":"2509.04890","last_updated":"2025-09-05T08:12:50Z","snapshot_observed_at":"2026-08-18T15:15:21.896766Z","submitted_at":"2025-09-05T08:12:50Z","title":"On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-15T16:32:56.225711Z"},"links":{"citing_paper":"/paper/2509.04890"},"observation_digest":"sha256:e1f4783379cf6d7764ad7cbf020769d0cbaf10d9391d53cc417259256e413af8","observation_id":"63bb1752-ccdf-414d-a0b6-00b6bf2a52ca","resolution":{"observed_at":"2026-08-15T16:32:56.482027Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:32:56.229146Z","title":null,"venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2509.04890","last_updated":"2025-09-05T08:12:50Z","snapshot_observed_at":"2026-08-18T15:15:21.896766Z","submitted_at":"2025-09-05T08:12:50Z","title":"On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-15T16:32:56.229146Z"},"links":{"citing_paper":"/paper/2509.04890"},"observation_digest":"sha256:d8d8bb3146ef30a1b4adfaf19187fcb283b5ef0c441b3754879efbe8cc544850","observation_id":"8d51cfde-4bbb-4b20-839b-821f4455a764","resolution":{"observed_at":"2026-08-15T16:32:56.229146Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.14310","last_updated":"2024-12-18T20:23:55Z","snapshot_observed_at":"2026-08-17T21:20:51.110253Z","submitted_at":"2024-12-18T20:23:55Z","title":"Equivariant cohomological rigidity for four-dimensional Hamiltonian $\\mathbf{S^1}$-manifolds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.14310","snapshot_observed_at":"2026-08-15T16:32:56.232536Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.04890","last_updated":"2025-09-05T08:12:50Z","snapshot_observed_at":"2026-08-18T15:15:21.896766Z","submitted_at":"2025-09-05T08:12:50Z","title":"On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-15T16:32:56.232536Z"},"links":{"cited_paper":"/paper/2412.14310","citing_paper":"/paper/2509.04890"},"observation_digest":"sha256:8e124e2993bdc3c4e7604bd82668f82ba8d9632ffe529456f4fcaf8b1a845e32","observation_id":"a2880589-4a2c-410b-b257-a2e9da7f586e","resolution":{"observed_at":"2026-08-15T16:32:56.232536Z","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":"2026-08-15T16:32:56.236386Z","title":"Karshon, Periodic Hamiltonian flows on four dimensional manifolds, Memoirs of the Amer.\\ Math.\\ Soc.\\ 672 (1999)","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2509.04890","last_updated":"2025-09-05T08:12:50Z","snapshot_observed_at":"2026-08-18T15:15:21.896766Z","submitted_at":"2025-09-05T08:12:50Z","title":"On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-15T16:32:56.236386Z"},"links":{"citing_paper":"/paper/2509.04890"},"observation_digest":"sha256:95a6e52b2bd637049751a25fd5c8cbec140386cefffeada17ae9c2f35e01cdf6","observation_id":"220eff75-5eef-4af4-9e1d-356fdf9ab9fe","resolution":{"observed_at":"2026-08-15T16:32:56.236386Z","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":"2026-08-15T16:32:56.239853Z","title":null,"venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2509.04890","last_updated":"2025-09-05T08:12:50Z","snapshot_observed_at":"2026-08-18T15:15:21.896766Z","submitted_at":"2025-09-05T08:12:50Z","title":"On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-15T16:32:56.239853Z"},"links":{"citing_paper":"/paper/2509.04890"},"observation_digest":"sha256:2d67ed808e0789df9d5b5055a6aa33df771fc9bc7d8110f48888ffd6d0e31ad9","observation_id":"794c8095-1d91-4354-b98d-51ea8252c96c","resolution":{"observed_at":"2026-08-15T16:32:56.239853Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.14000","last_updated":"2025-05-20T06:51:41Z","snapshot_observed_at":"2026-08-16T04:25:15.258938Z","submitted_at":"2025-05-20T06:51:41Z","title":"On isomorphisms of semi-free Hamiltonian $S^1$-manifolds and fixed point data","version":1},"cited_work":{"arxiv_id":"2505.14000","doi":null,"metadata_source":"pith","pith_arxiv_id":"2505.14000","snapshot_observed_at":"2026-08-15T16:32:56.314018Z","title":"On isomorphisms of semi-free Hamiltonian $S^1$-manifolds and fixed point data","venue":"math.SG","work_id":"c51d0563-641f-402e-92b5-5dc5984c4086","year":2025},"citing_paper":{"arxiv_id":"2509.04890","last_updated":"2025-09-05T08:12:50Z","snapshot_observed_at":"2026-08-18T15:15:21.896766Z","submitted_at":"2025-09-05T08:12:50Z","title":"On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-15T16:32:56.243617Z"},"links":{"cited_paper":"/paper/2505.14000","citing_paper":"/paper/2509.04890"},"observation_digest":"sha256:88a28ebd8e0c77558f4792161c367d37e7f9ff69e5058e40c567e9bba706281e","observation_id":"816db82a-e500-41da-b9e7-8d12fd1d5080","resolution":{"observed_at":"2026-08-15T16:32:56.319999Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:32:56.247307Z","title":"Lalonde and M.Pinsonnault, The topology of the space of symplectic balls in rational 4-manifolds, Duke Math","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2509.04890","last_updated":"2025-09-05T08:12:50Z","snapshot_observed_at":"2026-08-18T15:15:21.896766Z","submitted_at":"2025-09-05T08:12:50Z","title":"On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-15T16:32:56.247307Z"},"links":{"citing_paper":"/paper/2509.04890"},"observation_digest":"sha256:d3bfd99c593996833dd46dab999ffaa20327b947b29a9658507bb2494565a7a9","observation_id":"fc0e31ef-ab1d-428c-a4e2-255ef9cc552f","resolution":{"observed_at":"2026-08-15T16:32:56.247307Z","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":"2026-08-15T16:32:56.250717Z","title":null,"venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2509.04890","last_updated":"2025-09-05T08:12:50Z","snapshot_observed_at":"2026-08-18T15:15:21.896766Z","submitted_at":"2025-09-05T08:12:50Z","title":"On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-15T16:32:56.250717Z"},"links":{"citing_paper":"/paper/2509.04890"},"observation_digest":"sha256:135a1439de3a1cdc232c22e381453e0b1403914aa795d0f10cc9091c5ea12df9","observation_id":"1e84f65a-7622-4336-b589-3408ca6bb437","resolution":{"observed_at":"2026-08-15T16:32:56.250717Z","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":"2026-08-15T16:32:56.422794Z","title":"Masuda, Equivariant cohomology distinguishes toric manifolds","venue":null,"work_id":"d37d2495-e8ad-44c2-886a-032a37458066","year":2008},"citing_paper":{"arxiv_id":"2509.04890","last_updated":"2025-09-05T08:12:50Z","snapshot_observed_at":"2026-08-18T15:15:21.896766Z","submitted_at":"2025-09-05T08:12:50Z","title":"On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-15T16:32:56.254163Z"},"links":{"citing_paper":"/paper/2509.04890"},"observation_digest":"sha256:2923f4579f17021bc08350c11dc53c382513d62641628b7b6027c69e2b706dca","observation_id":"e901b965-6d79-477d-88c5-bc9ab6a433fd","resolution":{"observed_at":"2026-08-15T16:32:56.427051Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:32:56.409525Z","title":"Topology 2 (3) (2009), 589--623","venue":null,"work_id":"2f76fe59-9798-487a-9a1b-5ae4cabafd0d","year":2009},"citing_paper":{"arxiv_id":"2509.04890","last_updated":"2025-09-05T08:12:50Z","snapshot_observed_at":"2026-08-18T15:15:21.896766Z","submitted_at":"2025-09-05T08:12:50Z","title":"On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-15T16:32:56.258445Z"},"links":{"citing_paper":"/paper/2509.04890"},"observation_digest":"sha256:7d41206f910b5aa8ab12a139de3b97141c4b39f5a5438c50acbbafd878d7ec9f","observation_id":"7eb10ce3-544a-4980-9286-1ea25d38fd23","resolution":{"observed_at":"2026-08-15T16:32:56.413747Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:32:56.396678Z","title":"American Mathematical Society, Providence, RI, 2005","venue":null,"work_id":"ef5a2fac-78a0-4287-a62f-49dead154c8c","year":2005},"citing_paper":{"arxiv_id":"2509.04890","last_updated":"2025-09-05T08:12:50Z","snapshot_observed_at":"2026-08-18T15:15:21.896766Z","submitted_at":"2025-09-05T08:12:50Z","title":"On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-15T16:32:56.262512Z"},"links":{"citing_paper":"/paper/2509.04890"},"observation_digest":"sha256:c61918b01ba4102c07e1ac41db1facbd05d38eaa7b88cba58e7e8eb2f924fb3e","observation_id":"3ae5bc08-b569-4de6-8150-9afd0ba4f0a7","resolution":{"observed_at":"2026-08-15T16:32:56.400606Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:32:56.384686Z","title":null,"venue":null,"work_id":"43e600ff-0b10-4438-bfce-81ded07f412f","year":2015},"citing_paper":{"arxiv_id":"2509.04890","last_updated":"2025-09-05T08:12:50Z","snapshot_observed_at":"2026-08-18T15:15:21.896766Z","submitted_at":"2025-09-05T08:12:50Z","title":"On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-15T16:32:56.266512Z"},"links":{"citing_paper":"/paper/2509.04890"},"observation_digest":"sha256:c10f91962f9637c91abf9a19c10352bf543a0462965d7df9022aac97f1d2e05e","observation_id":"20b1296a-7482-444b-a207-0e24e0cb486f","resolution":{"observed_at":"2026-08-15T16:32:56.388290Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:32:56.270187Z","title":null,"venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2509.04890","last_updated":"2025-09-05T08:12:50Z","snapshot_observed_at":"2026-08-18T15:15:21.896766Z","submitted_at":"2025-09-05T08:12:50Z","title":"On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-15T16:32:56.270187Z"},"links":{"citing_paper":"/paper/2509.04890"},"observation_digest":"sha256:43bf09e8d01c880f4161594b32a00722e90fdfc661886a4cb7b73332f36184d3","observation_id":"12ec75a8-acd9-4e5b-9340-36b68c2fa064","resolution":{"observed_at":"2026-08-15T16:32:56.270187Z","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":"2026-08-15T16:32:56.364119Z","title":"Tolman and J","venue":null,"work_id":"b00c1103-3c73-4b62-8609-fdd78dc3ce47","year":1999},"citing_paper":{"arxiv_id":"2509.04890","last_updated":"2025-09-05T08:12:50Z","snapshot_observed_at":"2026-08-18T15:15:21.896766Z","submitted_at":"2025-09-05T08:12:50Z","title":"On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-15T16:32:56.274403Z"},"links":{"citing_paper":"/paper/2509.04890"},"observation_digest":"sha256:0893ea4058c8494d14d009428b97d66368873f23b86640655f7d351ad08e6c30","observation_id":"cfb1af85-3c4f-42a6-9681-b9955113f8c3","resolution":{"observed_at":"2026-08-15T16:32:56.367840Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:32:56.351706Z","title":"Tolman and J","venue":null,"work_id":"8c47e348-091a-4a69-b10b-0ea06aeefbd6","year":2003},"citing_paper":{"arxiv_id":"2509.04890","last_updated":"2025-09-05T08:12:50Z","snapshot_observed_at":"2026-08-18T15:15:21.896766Z","submitted_at":"2025-09-05T08:12:50Z","title":"On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-15T16:32:56.278302Z"},"links":{"citing_paper":"/paper/2509.04890"},"observation_digest":"sha256:77f06b4408a6d9c554d494983a25b81fc7834ed3acf949fec48d4264e5d578c1","observation_id":"b7a36968-a6cf-40df-b40e-e368e87574a5","resolution":{"observed_at":"2026-08-15T16:32:56.355613Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-15T16:32:56.282078Z","title":"Weinstein, Symplectic manifolds and their lagrangian submanifolds, Advances in Mathematics","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.04890","last_updated":"2025-09-05T08:12:50Z","snapshot_observed_at":"2026-08-18T15:15:21.896766Z","submitted_at":"2025-09-05T08:12:50Z","title":"On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-15T16:32:56.282078Z"},"links":{"citing_paper":"/paper/2509.04890"},"observation_digest":"sha256:56fc5874715b045852e08802d9afd5a2403d5f250045910cc5047120704de50a","observation_id":"4eeaa701-7a32-4b4c-b024-a0fa4aee6316","resolution":{"observed_at":"2026-08-15T16:32:56.282078Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2509.04890","last_updated":"2025-09-05T08:12:50Z","latest_version":1,"primary_category":"math.SG","snapshot_observed_at":"2026-08-18T15:15:21.896766Z","submitted_at":"2025-09-05T08:12:50Z","title":"On the equivariant cohomological rigidity of semi-free Hamiltonian circle actions"},"reference_resolution":{"displayed":23,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":17,"verified_exact":1,"verified_fuzzy":5},"total_outbound_references":23},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2509.04890."}