{"as_of":"2026-08-12T05:29:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:dc9c6a400db4cc9be6f797e82c27504b8961124eb51edf6a401368394af6a739","coverage":[{"denominator":37,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":37,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T00:48:05.791966Z","state":"measured"},{"denominator":38,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":38,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-10T09:33:10.882940Z","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":"2026-05-10T09:33:41.268100Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"cited_work":{"arxiv_id":"2412.19375","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.19375","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Family S eiberg- W itten equation on K ahler surface and _i(symp) on multiple-point blow ups of C alabi- Y au surfaces","venue":null,"work_id":"c46d146c-25f3-4f6f-ae42-77e20014ed9a","year":2025},"citing_paper":{"arxiv_id":"2604.15087","last_updated":"2026-04-16T14:47:38Z","snapshot_observed_at":"2026-07-06T23:02:44.990811Z","submitted_at":"2026-04-16T14:47:38Z","title":"Diffeomorphism groups and gauge theory for families","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-05-10T09:33:10.882940Z"},"links":{"cited_paper":"/paper/2412.19375","citing_paper":"/paper/2604.15087"},"observation_digest":"sha256:4a3fbf59c2e4dcd97ccd90a737a3a35a13b5183c8195da56d70efc43c6be3cf7","observation_id":"5c31036b-c94c-4069-ad5e-f86748248fc2","resolution":{"observed_at":"2026-05-10T09:33:41.270094Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.19375/citation-record","integrity":"/paper/2412.19375/integrity","json":"/paper/2412.19375/citation-record.json","paper":"/paper/2412.19375"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T00:48:06.259136Z","title":"Topology of symplectomorphism groups of rational ruled surfaces","venue":null,"work_id":"d48e1043-a121-49ec-9522-0c30128fad16","year":2000},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.644807Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:01d2836acc459d54ac4521fa84b13a0ca6e27d3836ed658c4024a07682fbb344","observation_id":"7a7c4cfb-f7b9-4f97-bf0e-495c73f638fa","resolution":{"observed_at":"2026-08-11T00:48:06.263748Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2307.00556","last_updated":"2024-02-08T09:29:13Z","snapshot_observed_at":"2026-08-07T04:18:13.591452Z","submitted_at":"2023-07-02T12:42:02Z","title":"Embeddings of symplectic balls into the complex projective plane","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.00556","snapshot_observed_at":"2026-08-11T00:48:05.655784Z","title":"Embeddings of symplectic balls into the complex projective plane","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.655784Z"},"links":{"cited_paper":"/paper/2307.00556","citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:969f46e2827885f2bac5df5807cf878f6755c12396a6f5b4dfaa08ab843514e8","observation_id":"3aafc5c0-7875-4731-b272-9ed78ae34c81","resolution":{"observed_at":"2026-08-11T00:48:05.655784Z","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":"2026-08-11T00:48:06.246343Z","title":"Stability of the symplectomorphism groups of rational surfaces.Mathematische Annalen, 389(1):85–119, 2024","venue":null,"work_id":"ea92f54c-2cd5-4c3d-93c0-c57dc2cc6b8b","year":2024},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.660109Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:aa5d15f824198955592a7ecda7ef88be9dde8c3cf48b4117c0c34ec2523997f6","observation_id":"65ca9e96-a894-44a7-89aa-d978f7581f64","resolution":{"observed_at":"2026-08-11T00:48:06.251455Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:06.234891Z","title":"A gluing formula for families seiberg–witten invariants.Geometry & Topology, 24(3):1381–1456, 2020","venue":null,"work_id":"5d847a22-551e-4070-bbda-7b416d503122","year":2020},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.664332Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:8d5852e044e20d0dab43b5922633aac9e3855c011ece5577b4f8cdfc7f209450","observation_id":"606af345-bca7-40ad-90ae-1023ad564d20","resolution":{"observed_at":"2026-08-11T00:48:06.239359Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:06.224332Z","title":"Compact complex surfaces, volume4","venue":null,"work_id":"d4169d8d-25bd-458a-a234-8b6b969398af","year":2015},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.668224Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:9f598776f24c35bbdd0955d8147b8adccad023174b078216dbceb3f8e67d1c9b","observation_id":"157c2ae7-6c76-4eb1-9b67-6fa0f79d4e05","resolution":{"observed_at":"2026-08-11T00:48:06.228402Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:06.214041Z","title":"Kähler manifolds with trivial canonical class.Mathematics of the USSR-Izvestiya , 8(1):9, 1974","venue":null,"work_id":"052fccea-3884-4158-ab1f-077673e03689","year":1974},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.672109Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:fa7ce0ca046d2662f8ebc51eddbe9b1b5849db6c5ac2c3873ae4453a44efa23e","observation_id":"ded7ba16-1369-455a-a475-ba6b8ab2ff80","resolution":{"observed_at":"2026-08-11T00:48:06.218113Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:06.202733Z","title":"Vortices in holomorphic line bundles over closed kähler manifolds.Communications in mathematical physics , 135:1–17, 1990","venue":null,"work_id":"aece7122-f1ab-4e7b-8bd6-9af02fdba6a9","year":1990},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.676394Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:71c002cbae98143f6390b43cda6efea860277b81e0523efff80faf587978a7e7","observation_id":"44bc8b90-bf5b-4140-adbd-6cb1b4f9b388","resolution":{"observed_at":"2026-08-11T00:48:06.207372Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:06.190974Z","title":"On compact kähler surfaces","venue":null,"work_id":"58670d01-e47e-42ec-a6da-6cfb5940e69b","year":1999},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.679738Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:5addee7a86f3c4ad3ee203fa308bb8058ac05b68161a76101f727166465d34c2","observation_id":"2d77152e-bffa-403c-a14f-5263c5e2dd47","resolution":{"observed_at":"2026-08-11T00:48:06.195483Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:06.179145Z","title":"Local contributions to global deformations of surfaces","venue":null,"work_id":"9c8a1395-41d5-44aa-bd4d-85eaec940a8e","year":1974},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.683365Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:0c5b7a2a25c7419ac23f68665782284821f32af4cd92be40e3e5c24b8f32d5ef","observation_id":"362022dd-fa1a-49de-8ac4-34fbe765323d","resolution":{"observed_at":"2026-08-11T00:48:06.183754Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:06.167186Z","title":"Negative inflation and stability in symplectomorphism groups of ruled surfaces","venue":null,"work_id":"3202d847-0bde-4a3d-b18f-570a8cec3d12","year":2011},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.686965Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:576c40d85c92a80eae6244e81c1d86a2bdfec7d0754931e4672a921da3938926","observation_id":"98ff5ef7-2af0-4229-960a-84af8b12b1de","resolution":{"observed_at":"2026-08-11T00:48:06.171737Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:06.155351Z","title":"Numerical characterization of the kähler cone of a compact kähler manifold","venue":null,"work_id":"7c8aa562-d7bd-47a0-9ecf-3d68e487edd5","year":2004},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.690381Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:e1219c2fbc6a39336bed011fc4b712509ff967d6eca7d1f9518d9550d6d44986","observation_id":"66e790a3-aad2-42ba-a1b7-414793c25ea3","resolution":{"observed_at":"2026-08-11T00:48:06.159845Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:06.142851Z","title":"Q-acyclic surfaces and their deformations.Contemporary Mathematics, 162:143–143, 1994","venue":null,"work_id":"0c56b691-aee7-4082-bcab-afc5e70e8e57","year":1994},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.694524Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:fd13573be91c9f94760cacd5682d4ef4eadfd2f0c4758561516e1b0d2e6f0626","observation_id":"b78f675b-dbbe-4b89-b7f4-401ba0a6a04d","resolution":{"observed_at":"2026-08-11T00:48:06.147624Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:06.131532Z","title":"Obstruction bundles, semiregularity, and seiberg–witten in- variants","venue":null,"work_id":"6b37a14a-063d-45bc-a3ce-4fad11db80a4","year":1999},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.698280Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:39730542c53f923fd496acd2d2137d1a62eb7e9101c93656e6296ab85fee0764","observation_id":"d285d3c6-9533-43da-9d14-705a627b49a8","resolution":{"observed_at":"2026-08-11T00:48:06.136070Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:06.120303Z","title":"Pseudo holomorphic curves in symplectic manifolds","venue":null,"work_id":"049ef56d-a9ee-496a-9365-c51f220c6f79","year":1985},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.701867Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:522083f15fbffe4e649b278b2f88fcfdb0ca8951b1afbb6465119e5e966f641d","observation_id":"4f330580-cacc-4d32-99a6-47ae4a59a28c","resolution":{"observed_at":"2026-08-11T00:48:06.124689Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:06.108770Z","title":"On the periods of enriques surfaces","venue":null,"work_id":"00b6c875-885d-44cb-8821-a7e133a3b10a","year":1977},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.705677Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:3d88a7e120933e6e7ccda1ec73d11996c91270e02a754fd68a18b3bfbe226095","observation_id":"f1f23202-a880-4385-98b2-147bee92e704","resolution":{"observed_at":"2026-08-11T00:48:06.113305Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:06.097206Z","title":"Evaluation fibrations and topology of symplectomorphisms.Proceedings of the Amer- ican Mathematical Society, 133(1):305–312, 2005","venue":null,"work_id":"d6fec958-34de-425d-a583-24446b70be03","year":2005},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.709388Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:05f3385d368fb2931f779df74b2c844457159bf9360c80d43a3cf12accc34d52","observation_id":"5886dfa5-6a98-4f6d-8872-915b297d8045","resolution":{"observed_at":"2026-08-11T00:48:06.102065Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:06.085519Z","title":"Complex manifolds and deformation of complex structures , volume 283","venue":null,"work_id":"2a8ff60d-b9c5-43a0-be38-640c3565b138","year":2012},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.713014Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:0e5aab9999178dc09721bf45ea7dd594895ee4ba8660cf4532f143426962d509","observation_id":"9b30822e-3e5f-4814-b7f7-d8573694c57a","resolution":{"observed_at":"2026-08-11T00:48:06.089925Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:06.072989Z","title":"On deformations of complex analytic structures, iii","venue":null,"work_id":"1af753bc-3977-426e-b632-0edb3e09a6b2","year":1960},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.717042Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:280b635d3fd0ef8963f7073817552a049ab7a7ee67302f83c4cf3d5e9e17505d","observation_id":"5f634fb7-abe8-4220-a072-e77fbb35abe6","resolution":{"observed_at":"2026-08-11T00:48:06.077884Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:06.060213Z","title":"Negative spheres and higher homotopy groups of diffeomor- phism groups of 4-manifolds.In preparation","venue":null,"work_id":"432dfdf3-6006-4b41-a095-ad55b2063180","year":null},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.720764Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:fd785df5bb0c44ec3833453c4eae68b13e497238dd4515b801af1815d7a524f4","observation_id":"4b83d2db-7ca9-4b13-a356-7339404fe00c","resolution":{"observed_at":"2026-08-11T00:48:06.065429Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:06.047449Z","title":"Some non-trivial families of symplectic structures.(1997)","venue":null,"work_id":"316b9896-c3ee-4870-bb55-61078facaeb7","year":1997},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.724803Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:023da2c6f1bddf7c52d804222453a8e200fba638b2ec43811588ddc427e72458","observation_id":"63aa6fb9-d868-4dec-a156-eb1825c0f708","resolution":{"observed_at":"2026-08-11T00:48:06.052362Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:06.033940Z","title":"Monopoles and three-manifolds.(No Title), 2007","venue":null,"work_id":"d11bd69f-1b82-4f77-a36a-c0ccffbd6063","year":2007},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.728342Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:8fcafec9dfc3198230f568b6490b33ad0f639130f7115f5fc31eadbf9bd54d72","observation_id":"b6212890-284e-4079-bf20-aed35f1b1293","resolution":{"observed_at":"2026-08-11T00:48:06.038405Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:06.021812Z","title":"The topology of the space of symplectic balls in rational 4-manifolds","venue":null,"work_id":"be674078-056c-4b46-93bf-eb08e3175c4f","year":2002},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.732097Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:a9933ba77622177ab10e5c6c84b1847599227c026c1a9807edcf5d0ee9dc5c26","observation_id":"25a2b95a-77c3-4dd4-87c8-81fc5f4d93e4","resolution":{"observed_at":"2026-08-11T00:48:06.026465Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:06.008357Z","title":"The gromov width of 4–dimensional tori.Geometry & Topology, 17(5):2813–2853, 2013","venue":null,"work_id":"b52d8818-ad51-4e9e-b178-b2a95081c53b","year":2013},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.735870Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:ac077afc074327e9b905624df6bf5c5f8f18f75ad6035fd032c452b28f19ca55","observation_id":"cdf6ae9d-b8cf-4a1b-9431-e67c43426c73","resolution":{"observed_at":"2026-08-11T00:48:06.014258Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0107211","last_updated":"2001-08-31T19:02:19Z","snapshot_observed_at":"2026-07-07T05:27:01.888127Z","submitted_at":"2001-07-29T16:46:00Z","title":"Family Seiberg-Witten invariants and wall crossing formulas","version":2},"cited_work":{"arxiv_id":"math/0107211","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0107211","snapshot_observed_at":"2026-08-11T00:48:05.860504Z","title":"Family Seiberg-Witten invariants and wall crossing formulas","venue":"math.GT","work_id":"d5572341-6ddc-4d66-9bcf-a349228bb82f","year":2001},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.739915Z"},"links":{"cited_paper":"/paper/math/0107211","citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:0f8ea5628dd3c8300e7583b06f9c192781d2cd1b8be63a63ebdec190c9c5822a","observation_id":"11a08ac5-58a2-4660-b64b-3cb0ef2fe9ac","resolution":{"observed_at":"2026-08-11T00:48:05.866562Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2208.12082","last_updated":"2022-08-25T13:27:25Z","snapshot_observed_at":"2026-07-06T13:45:23.040388Z","submitted_at":"2022-08-25T13:27:25Z","title":"The Family Seiberg-Witten Invariant and nonsymplectic loops of diffeomorphisms","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2208.12082","snapshot_observed_at":"2026-08-11T00:48:05.743892Z","title":"The family seiberg-witten invariant and nonsymplectic loops of diffeomorphisms.arXiv preprint arXiv:2208.12082, 2022","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.743892Z"},"links":{"cited_paper":"/paper/2208.12082","citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:9385b5301557b596dc74c399714ae1d82d435c7398849afdd1c45da039622229","observation_id":"5f458d66-bfbb-4545-9b6b-c1d9da0333f8","resolution":{"observed_at":"2026-08-11T00:48:05.743892Z","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":"2026-08-11T00:48:05.995438Z","title":"Lectures on deformations of complex manifolds.Rend","venue":null,"work_id":"b7224f9c-6010-4c39-a207-0dcae22b25d2","year":2004},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.748269Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:adfa2e6feefb5dba6651d3cafb8240f1e8db3782a8a13f0b98b15e16da010df2","observation_id":"d795fe7f-eecb-479f-8a2d-26c9ae6c16d6","resolution":{"observed_at":"2026-08-11T00:48:06.000160Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:05.984273Z","title":"Springer, 2022","venue":null,"work_id":"fc98ca52-7a93-4365-9c95-b1de6207107b","year":2022},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.752054Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:737363d2e822429a0047a57fdda3360ea41d12ccf0cc60b817a1312b13998c20","observation_id":"7f0ed28b-4218-4de6-a220-84666ccbac2b","resolution":{"observed_at":"2026-08-11T00:48:05.988424Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:05.972033Z","title":"Almost complex structures onS2ˆ S2","venue":null,"work_id":"cecf3a0d-05af-42f3-973a-38b63a1342d1","year":1998},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.755851Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:dad8612f2850230c9ce82030ffe94d77e11c4745219d4f41d9bd19df5cbe686d","observation_id":"383fa46e-ca1b-404a-8591-183fc96ad646","resolution":{"observed_at":"2026-08-11T00:48:05.976427Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0010274","last_updated":"2004-12-26T21:46:56Z","snapshot_observed_at":"2026-08-02T13:08:10.418467Z","submitted_at":"2000-10-27T22:09:21Z","title":"Symplectomorphism groups and almost complex structures","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0010274","snapshot_observed_at":"2026-08-11T00:48:05.759640Z","title":"Symplectomorphism groups and almost complex structures","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.759640Z"},"links":{"cited_paper":"/paper/math/0010274","citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:7f9081f6d179da76b4b1671366801d16d0c2d0a7d3fcf0d210b468a6210cb86d","observation_id":"22a75493-13a7-4896-b03a-7bb0c5b912ce","resolution":{"observed_at":"2026-08-11T00:48:05.759640Z","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":"2026-08-11T00:48:05.959435Z","title":"Symplectomorphism groups and embeddings of balls into rational ruled 4- manifolds","venue":null,"work_id":"117fbcb8-9f0f-40b3-819c-3d14e6a1efd5","year":2008},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.763883Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:49ad1b5e9a38430324461152250ea396b6047bd2469a02aaf9ae72a121d35b48","observation_id":"c505ff09-25ad-4fe0-bea6-2568ec387ec1","resolution":{"observed_at":"2026-08-11T00:48:05.964411Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:05.946405Z","title":"The period map of abelian surfaces.J","venue":null,"work_id":"fede3e39-de7a-4e2f-8a2d-4fc11761fa12","year":1978},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.767807Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:b536ab8d45f9eda68c03fe95a5f82d2677c1f46b9e1d3d920a0f3b0a7be87207","observation_id":"2863a4e7-2c14-42ab-a94c-79f53d5d1bf7","resolution":{"observed_at":"2026-08-11T00:48:05.951767Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2002.01233","last_updated":"2021-02-18T16:30:55Z","snapshot_observed_at":"2026-08-11T14:47:14.235205Z","submitted_at":"2020-02-04T11:35:29Z","title":"From flops to diffeomorphism groups","version":2},"cited_work":{"arxiv_id":"2002.01233","doi":null,"metadata_source":"pith","pith_arxiv_id":"2002.01233","snapshot_observed_at":"2026-08-11T00:48:05.822764Z","title":"From flops to diffeomorphism groups","venue":"math.DG","work_id":"3af02725-d261-4982-be3d-76f01dfcc4f1","year":2020},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.771631Z"},"links":{"cited_paper":"/paper/2002.01233","citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:5de6fa26a253947d9003bae9484c892b68888eb307ef7b4c24ef9a16e54195ea","observation_id":"91f0fc85-c81b-4020-9770-0fda19062814","resolution":{"observed_at":"2026-08-11T00:48:05.831066Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:05.933097Z","title":"Symplectic mapping class groups of K3 surfaces and seiberg–witten invariants.Geo- metric and Functional Analysis , 32(2):280–301, 2022","venue":null,"work_id":"430c27dc-4c94-4fdc-953c-e3ad7e266b03","year":2022},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.776040Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:09464e9bd7518c32151af369d47d1e7be0706c5c0618514817d7c1bc9c0ab4d4","observation_id":"8a7ce23c-dca0-4b9e-8380-3fb561eabf55","resolution":{"observed_at":"2026-08-11T00:48:05.937819Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:05.920842Z","title":"Symplectic mapping class groups of blowups of tori.Journal of Topology, 16(3):877–898, 2023","venue":null,"work_id":"899b654d-f758-40cb-9ad3-6faccae5ed6f","year":2023},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.779894Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:1e7494ba1cb82b2dc098811fc4c31dbc81409371e3ecd6d87366510743cae4d0","observation_id":"5bca0311-67a1-403d-8c3a-562137c35ce8","resolution":{"observed_at":"2026-08-11T00:48:05.925511Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:05.909176Z","title":null,"venue":null,"work_id":"48e8d808-908f-4807-9049-9fba485e7b9e","year":1996},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.783743Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:e1df0bc0add8e8ff4c9e589cdfff893c48ba6413c5a550d9f1333b0e5eb2e68b","observation_id":"aedc1bc6-b84c-48c4-a65d-c01963f78456","resolution":{"observed_at":"2026-08-11T00:48:05.913684Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:05.897511Z","title":"More constraints on symplectic forms from seiberg-witten invariants.Mathe- matical Research Letters, 2(1):9–13, 1995","venue":null,"work_id":"58c4b211-09bf-4903-b28b-ac77f1344be4","year":1995},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.788058Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:69a2470d1d0b929e8a9b6e00ab8791f82ed00828cb3a2710b28c0a36967135ea","observation_id":"a1251968-e3a7-49af-8a0c-34f49fff4f4b","resolution":{"observed_at":"2026-08-11T00:48:05.902210Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-11T00:48:05.884468Z","title":"The rising sea: Foundations of algebraic geometry","venue":null,"work_id":"4e998e05-a250-4eb4-874d-c1b35626ed5f","year":2024},"citing_paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces","version":3},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T00:48:05.791966Z"},"links":{"citing_paper":"/paper/2412.19375"},"observation_digest":"sha256:8c42b3ca26931ff8784078e7e5df1f65219d31c9b025785023379ef6de988837","observation_id":"9ef9b7d2-bef8-419a-b431-d8b204b52213","resolution":{"observed_at":"2026-08-11T00:48:05.889466Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.19375","last_updated":"2025-07-04T03:00:42Z","latest_version":3,"primary_category":"math.GT","snapshot_observed_at":"2026-08-11T04:38:45.118060Z","submitted_at":"2024-12-26T23:18:40Z","title":"Family Seiberg-Witten equation on Kahler surface and $\\pi_i(\\Symp)$ on multiple-point blow ups of Calabi-Yau surfaces"},"reference_resolution":{"displayed":37,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":4,"verified_exact":1,"verified_fuzzy":31},"total_outbound_references":37},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2412.19375."}