{"as_of":"2026-08-15T02:24:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c0e6177401d10d8d804107b2218623089a15a561a290efcc85306dc3aa1701aa","coverage":[{"denominator":42,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":42,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T05:30:58.945832Z","state":"measured"},{"denominator":43,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":43,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+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":"2026-08-14T05:30:58.922641Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-14T05:30:58.974625Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"cited_work":{"arxiv_id":"1909.01263","doi":null,"metadata_source":"pith","pith_arxiv_id":"1909.01263","snapshot_observed_at":"2026-08-14T05:30:58.974625Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","venue":"math.AG","work_id":"f53b9456-8c88-4ba2-ae74-2ac9c7cbfb37","year":2019},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.922641Z"},"links":{"cited_paper":"/paper/1909.01263","citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:d4e7c3fcdb798d1b560ba31c88711feced7b08f63a9ece00406d750d0cd84365","observation_id":"f708645c-8f6e-4522-9793-727ff63315fb","resolution":{"observed_at":"2026-08-14T05:30:58.978375Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1909.01263/citation-record","integrity":"/paper/1909.01263/integrity","json":"/paper/1909.01263/citation-record.json","paper":"/paper/1909.01263"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:30:59.316642Z","title":"Alzati and F","venue":null,"work_id":"6f86ff92-f4d1-474d-b093-a563dc894c98","year":2004},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.834135Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:f82143f9f8cb70af0eef05a0ceaf1a2e874cb73b5f432e8a6cc3edea36a985e8","observation_id":"cfe2a6a2-0f6d-44cf-9562-56dab34bdafc","resolution":{"observed_at":"2026-08-14T05:30:59.319544Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.308753Z","title":"Artin, Algebraization of formal moduli: II","venue":null,"work_id":"48c1a266-dce6-4577-9406-7e4049905cab","year":1970},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.837673Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:ef617c5b231da628c14191516aeaed6d8a509bb8956e0706058f54c8a101831c","observation_id":"e1145fe7-7e7e-4629-9f8b-e1754d821ec1","resolution":{"observed_at":"2026-08-14T05:30:59.311316Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.301024Z","title":"Bauer, The classiﬁcation of surfaces in P5 having few trisecant lines , Rend","venue":null,"work_id":"fa05615b-1210-4d72-bde0-5d7838c5cc1c","year":1998},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.840792Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:ef46258430bace9be1e28ea5e3f6c9c7054371d8d8b618c925fe765334232a06","observation_id":"fe98852c-5948-4c96-bdeb-afd2a25a73bd","resolution":{"observed_at":"2026-08-14T05:30:59.303911Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.293846Z","title":"Bolognesi, F","venue":null,"work_id":"0e2d8a4e-da48-421e-82a7-9185f316c7fe","year":2019},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.843746Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:cffdd216e359ac3dbc8d1e98128d7f436ddcd4e07a44f8521fe2ae5f4d2af061","observation_id":"2c93911d-ed95-4be8-8470-92048a9ba871","resolution":{"observed_at":"2026-08-14T05:30:59.296074Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.286119Z","title":"Chiantini and C","venue":null,"work_id":"387db9e7-b473-488b-a4e9-29222c11477c","year":1993},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.846888Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:f1c7aedd5c1f6efca9723c894eaa1b9f6746a6e69fae91610a54f7a46eecaacb","observation_id":"666e7b68-bd35-40d6-b696-84a86902caf0","resolution":{"observed_at":"2026-08-14T05:30:59.288977Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.277789Z","title":"Decker, L","venue":null,"work_id":"1bb077f9-2c6a-435f-a8df-1da5a8ba6c6e","year":1993},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.850123Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:59a45e3eea82254737f4c53e12c6d05aa259c905945f346362240ebf12a3d10d","observation_id":"29f4c93d-7f84-4d95-a5f6-db5990674fef","resolution":{"observed_at":"2026-08-14T05:30:59.280493Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.269906Z","title":"Fano, Sulle forme cubiche dello spazio a cinque dimensioni conten enti rigate razionali del 4◦ ordine, Comment","venue":null,"work_id":"499adc26-bcac-4642-ac40-0166baeae226","year":1943},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.853153Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:558e566717a29806830a78503504ffc1031c93d2673b5e71eb202ed7ef301658","observation_id":"d8dec3a4-240e-43bd-8db4-204330021223","resolution":{"observed_at":"2026-08-14T05:30:59.272758Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1910.10123","last_updated":"2020-06-20T23:50:42Z","snapshot_observed_at":"2026-07-06T08:31:25.831802Z","submitted_at":"2019-10-22T17:15:14Z","title":"The unirationality of the moduli space of K3 surfaces of genus 22","version":3},"cited_work":{"arxiv_id":"1910.10123","doi":null,"metadata_source":"pith","pith_arxiv_id":"1910.10123","snapshot_observed_at":"2026-08-14T05:30:59.009244Z","title":"The unirationality of the moduli space of K3 surfaces of genus 22","venue":"math.AG","work_id":"907a4f51-7a40-48ac-b204-a8050173c66b","year":2019},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.856019Z"},"links":{"cited_paper":"/paper/1910.10123","citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:9b66fe74ffccd3420001cf97b5844720112ec86d2900e82e05fbf873d25bbe0c","observation_id":"ee00bf78-2a30-43b0-8264-1df7791ee06d","resolution":{"observed_at":"2026-08-14T05:30:59.012504Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.261836Z","title":"Fontanari and E","venue":null,"work_id":"e667c977-6006-4bd3-93f6-21bef8b74c3a","year":2019},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.859090Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:fa5a670203c45c33bd9fcc975db2455f86ba75d9602ba4390c1f843b09d057c3","observation_id":"0b1cdf91-dd53-447c-87cd-0b204aba25bb","resolution":{"observed_at":"2026-08-14T05:30:59.264643Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.253562Z","title":"on the inverse of monoidal transformation","venue":null,"work_id":"820782e6-bf6a-494b-a8f0-5e56e387c053","year":1971},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.861432Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:989b2f3ca59a4a88f940af43fc5c0affdf60e147d7adc88185e56a164f3fa848","observation_id":"8d6f72e6-309b-4334-a196-b484abe6952c","resolution":{"observed_at":"2026-08-14T05:30:59.256677Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.245883Z","title":"Fulton, Intersection theory, Ergeb","venue":null,"work_id":"f42e0dc2-c285-4b0e-adb6-35a2f6a66024","year":1984},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.863891Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:52686394190b09b067b27fb7e1a5a4b212b0cc8a8b6a0614232392455410b692","observation_id":"73aef269-19a4-4e5e-a203-893a9c96f9cc","resolution":{"observed_at":"2026-08-14T05:30:59.248522Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.237990Z","title":null,"venue":null,"work_id":"8e74b77b-2300-44bd-998e-0a9f9e19d449","year":2019},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.866183Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:48a803e7984078e7f06baf4f9a354bb744900b5fd8a2f0670ed56a6dbfc8c23e","observation_id":"ec663e36-e6cf-4be6-a0aa-5779528f5962","resolution":{"observed_at":"2026-08-14T05:30:59.240888Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.230225Z","title":"Gruson and C","venue":null,"work_id":"dd2570e9-64af-4d27-9267-cca37bf3b8e9","year":2013},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.868475Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:8f98e42e16d9f6491318f79ff205c2b90c2f62dccb6142cdcb5dd773d91d7c43","observation_id":"5d418bba-5b97-4d35-a082-363cdbebdb47","resolution":{"observed_at":"2026-08-14T05:30:59.232709Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.222540Z","title":null,"venue":null,"work_id":"5bde10cf-2e2d-4a0d-9c53-f364a4e27289","year":2013},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.870750Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:0644b377b250b8b3a3a77e62b2a453bcea09d42e314e4b46f68689caa82a8ded","observation_id":"c00606d3-6527-454d-b0a6-927499aa7669","resolution":{"observed_at":"2026-08-14T05:30:59.225236Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.214246Z","title":"Hassett, Cubic fourfolds, K3 surfaces, and rationality questions , Rationality Problems in Algebraic Geometry: Levico Terme, Italy 2015 (R","venue":null,"work_id":"beedf88d-ec0e-49da-99f0-3ad32deddfbc","year":2015},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.873053Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:ab3210fd1cfc4de61bc604b788e176df93dc19d2b6141a5ec5479b7a58575fdf","observation_id":"859b91e0-d03a-4c99-9e12-050911733aff","resolution":{"observed_at":"2026-08-14T05:30:59.217430Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.206241Z","title":"Hassett, A","venue":null,"work_id":"e8f4a788-fa68-4849-8cd9-2f63e51ca2ef","year":2018},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.875325Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:43ab5771b57278be8aefc95bdffe03358ea6b10a0f6e7d8b0ac2f9b200e21234","observation_id":"afb81450-d7af-4aa0-9b46-24728614288f","resolution":{"observed_at":"2026-08-14T05:30:59.209138Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00209-020-02498-5","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T05:30:58.963437Z","title":"Hoﬀ and G","venue":null,"work_id":"3477d9ed-b026-4530-a546-315f87829943","year":2020},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.877435Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:02b12a7821c12e8e57396f5fa38839ee482b21c231a2d32613134a0ea4ea29f2","observation_id":"764472e2-51ab-4452-855c-dff7a06085e1","resolution":{"observed_at":"2026-08-14T05:30:58.966816Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[{"edge_observation":{"observed_at":"2026-08-14T06:18:03.580755+00:00","source":"paper_reference_links","state":"open"},"event_date":"2021-06-21","event_type":"correction","notice_doi":"10.1007/s00209-021-02777-9","provenance":{"observed_at":"2026-07-11T03:08:00.391171+00:00","source":"crossref","source_record_id":"10.1007/s00209-021-02777-9->10.1007/s00209-020-02498-5:correction"}}],"reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.198645Z","title":"Hulek, S","venue":null,"work_id":"479cb728-8ca4-4fd8-9c4f-f77374f10111","year":1992},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.879808Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:54ca02a58101c00b020b74d0a1c25b4f00e00f6207b684a877b2da8b7fd95552","observation_id":"34bc7914-d583-4986-9388-e624ec5c85e3","resolution":{"observed_at":"2026-08-14T05:30:59.201386Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.190741Z","title":"Koll´ ar, Algebraic hypersurfaces, Bull","venue":null,"work_id":"07c083dc-bee0-4074-80b5-935615e9aaa5","year":2019},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.882612Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:cf71b0b7272d68d74162723422ca502c72b7fd0fae83b5cad3392f5c96ecd229","observation_id":"837a1965-a8c0-4d70-8214-bd14af622e87","resolution":{"observed_at":"2026-08-14T05:30:59.193507Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.182625Z","title":"Kontsevich and Y","venue":null,"work_id":"cb71adb1-2db1-4252-ae5e-11535f3d079f","year":2019},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.885189Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:1bd6fbb6c6799ce58e829fa4f87ba14aa07b732b3cf5497ebaa8d52e79f56cb1","observation_id":"80e97010-0acb-40cc-938b-49c33c9b8c4e","resolution":{"observed_at":"2026-08-14T05:30:59.185432Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.173329Z","title":"Kuznetsov, Derived categories view on rationality problems , Rationality Problems in Algebraic Geom- etry: Levico Terme, Italy 2015 (R","venue":null,"work_id":"6e87b919-76e2-48f0-ba09-4d9497320522","year":2015},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.888059Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:c692eff2287c4844eac580fbff6b3b351322a5f459a2e59e0c56a4a32ca2de58","observation_id":"f7d729c8-39ea-411f-897b-b432d6ac6209","resolution":{"observed_at":"2026-08-14T05:30:59.176435Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.164435Z","title":"Lai, New cubic fourfolds with odd-degree unirational parametri zations, Algebra & Number Theory 11 (2017), 1597–1626","venue":null,"work_id":"fc5e8dd8-7474-41ba-bd84-5ef7bf3bbbcb","year":2017},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.891121Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:4f4dd9b2b0844d456370d1eddc0645838a49272ff28c44ecd0658c3e3621e09b","observation_id":"ef9b508c-4260-48f6-b31a-f30ba03b5fb0","resolution":{"observed_at":"2026-08-14T05:30:59.167428Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.156317Z","title":"Lee, H.-W","venue":null,"work_id":"1a1e5e2f-b9cb-46af-ad0f-e05ab62dde53","year":2010},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.893826Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:9897537e8e2814e5813509149ea73e164cf3b41b6d1b042b4e172a949ffd4ac7","observation_id":"0a0b034d-3db9-4c70-85f0-4c3c6b55a368","resolution":{"observed_at":"2026-08-14T05:30:59.159411Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.147575Z","title":"Mori, Threefolds whose canonical bundles are not numerically eﬀec tive, Ann","venue":null,"work_id":"b12c972e-d49b-433d-b5c2-222ffd1326bc","year":1982},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.896542Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:b771d0f30e52cff7fbd5783d05807a19d2fd52d920df7e1aa2462458a8205293","observation_id":"9bc605cb-0c30-4722-a857-9f03014503a9","resolution":{"observed_at":"2026-08-14T05:30:59.150248Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.139774Z","title":"Nakano, On the inverse of monoidal transformation , Publ","venue":null,"work_id":"00106ca9-1f3c-42a7-a26e-fd334d267a67","year":1971},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.899266Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:072799aac02bc712a79dc95263e8f6b4a4454c62e4e959718cd3643a9fe23451","observation_id":"575ddaaf-22d0-4f02-8d7f-5350ef4677e8","resolution":{"observed_at":"2026-08-14T05:30:59.142630Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1911.06138","last_updated":"2022-01-31T08:25:50Z","snapshot_observed_at":"2026-08-11T22:07:08.456594Z","submitted_at":"2019-11-14T14:46:38Z","title":"Tropical degenerations and stable rationality","version":4},"cited_work":{"arxiv_id":"1911.06138","doi":null,"metadata_source":"pith","pith_arxiv_id":"1911.06138","snapshot_observed_at":"2026-08-14T05:30:58.997919Z","title":"Tropical degenerations and stable rationality","venue":"math.AG","work_id":"bbb19d4a-437e-43b3-80ef-03aa4edda9c8","year":2019},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.902149Z"},"links":{"cited_paper":"/paper/1911.06138","citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:62d279f3e247380808bbafe8260e1c7f578d6ebda886c398984f993d3c77a75b","observation_id":"9502002d-f73a-4199-826f-ae180623bc6c","resolution":{"observed_at":"2026-08-14T05:30:59.001309Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.130439Z","title":"Nuer, Unirationality of moduli spaces of special cubic fourfolds and K3 surfaces , Algebr","venue":null,"work_id":"0de547fd-e338-40df-8ed0-6b70a6bb12d5","year":2015},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.906082Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:5c757d263914a923d297d7936d237e89ab3520987538d043d89027c342351b6d","observation_id":"b9e78c28-b284-4a68-9564-4e1a5ce250c0","resolution":{"observed_at":"2026-08-14T05:30:59.133583Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.121391Z","title":"Ran, Unobstructedness of ﬁlling secants and the Gruson–Peskine general projection theorem , Duke Math","venue":null,"work_id":"5ab846d5-63d3-496a-98e6-26f495c1794d","year":2015},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.908846Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:fadc1d53d24238874be583ff49eac9ec909f35dc91f2585d9a893a0406c76501","observation_id":"4e30ecd8-2180-4d36-8724-10be384c5c84","resolution":{"observed_at":"2026-08-14T05:30:59.125406Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.112902Z","title":"Rogora, On projective varieties for which a family of multisecant li nes has dimension larger than expected, preprint n","venue":null,"work_id":"ab90a173-db56-402b-8d94-c4fb8b6192c8","year":null},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.911547Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:63f6c7750172c0e5834f4cb2a2d24293a280a234c3916037dce4505cbee38313","observation_id":"c4fc0722-1bf4-4b2e-8ccc-08be0a1325c9","resolution":{"observed_at":"2026-08-14T05:30:59.116082Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.103874Z","title":"Russo, On a theorem of Severi , Math","venue":null,"work_id":"3c47f42f-ed71-4894-917b-ec04f58adbd8","year":2000},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.914390Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:7fc24a43627d2f21163237ac7727fe194e92ff164cc33ea6c4e5477f0b9d63c7","observation_id":"63aa97b8-3a8b-4d35-95be-cb5e7ae0a633","resolution":{"observed_at":"2026-08-14T05:30:59.107023Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1811.03502","last_updated":"2019-09-03T13:37:29Z","snapshot_observed_at":"2026-08-14T19:36:51.787401Z","submitted_at":"2018-11-08T15:44:39Z","title":"Explicit rationality of some cubic fourfolds","version":2},"cited_work":{"arxiv_id":"1811.03502","doi":null,"metadata_source":"pith","pith_arxiv_id":"1811.03502","snapshot_observed_at":"2026-08-14T05:30:58.986317Z","title":"Explicit rationality of some cubic fourfolds","venue":"math.AG","work_id":"696d5e36-eb0b-4e62-8afa-53b2b9f78ef4","year":2018},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.917068Z"},"links":{"cited_paper":"/paper/1811.03502","citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:79753a7d00ebdefcabd4ce71aac14b0bc776ba7e7a6b009cf92f99b8009a1bfb","observation_id":"218a856b-94df-4370-a6d1-d064f33431b1","resolution":{"observed_at":"2026-08-14T05:30:58.989695Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.095589Z","title":null,"venue":null,"work_id":"59a217d9-dc88-4d04-b39a-33515f992627","year":2019},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.920014Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:a3b85459980a1fd600dddce5e7a13eaade11de0c1e67dbc50fc593b9c6a4754c","observation_id":"5faee724-8fe8-4f19-a42f-c024163eb79e","resolution":{"observed_at":"2026-08-14T05:30:59.098510Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"cited_work":{"arxiv_id":"1909.01263","doi":null,"metadata_source":"pith","pith_arxiv_id":"1909.01263","snapshot_observed_at":"2026-08-14T05:30:58.974625Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","venue":"math.AG","work_id":"f53b9456-8c88-4ba2-ae74-2ac9c7cbfb37","year":2019},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.922641Z"},"links":{"cited_paper":"/paper/1909.01263","citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:d4e7c3fcdb798d1b560ba31c88711feced7b08f63a9ece00406d750d0cd84365","observation_id":"f708645c-8f6e-4522-9793-727ff63315fb","resolution":{"observed_at":"2026-08-14T05:30:58.978375Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.087349Z","title":"Schreieder, Stably irrational hypersurfaces of small slopes , J","venue":null,"work_id":"63378362-b607-475c-a050-fb97e38a33ab","year":2019},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.925453Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:8830a468d44702a0eaba922d0cac811bd979fbf35457a62866b8664b4bffaa40","observation_id":"2bfa8390-761b-4fc8-a872-79fde32455c3","resolution":{"observed_at":"2026-08-14T05:30:59.090158Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.078969Z","title":null,"venue":null,"work_id":"8c9a5017-08cf-4590-ba83-f1168687f411","year":1931},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.928141Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:3d903ef2a430818303193d099bcc681732f0e6e00d15ca39239b316a7db214ab","observation_id":"f7130149-80fa-4c33-9921-e8e9f507577e","resolution":{"observed_at":"2026-08-14T05:30:59.081952Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.071128Z","title":null,"venue":null,"work_id":"aca3801c-2c31-492e-beb7-394b2b2d86c0","year":1970},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.930775Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:5c96a656be48517adf144c021028be62e64a3d57da8bdfdb4481d5deeded486f","observation_id":"5e2c9bd1-c223-4c32-bfd2-d31de1e32fbc","resolution":{"observed_at":"2026-08-14T05:30:59.073776Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.062765Z","title":"Staglian` o, Special cubic Cremona transformations of P6 and P7, Adv","venue":null,"work_id":"fda9664b-2569-4f2d-9c90-5e144f1b41fc","year":2018},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.933594Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:8465f7c2399c4754ae747ae13bdc757f0f789be990ee18feac98c61a718173f0","observation_id":"7bb66520-39cb-4a3a-ac5c-52dcddccad20","resolution":{"observed_at":"2026-08-14T05:30:59.066243Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.054038Z","title":null,"venue":null,"work_id":"d316745c-0be7-47a4-be8e-653d518ea91f","year":2020},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.936120Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:203abb4619fff3001957ae3088c81aeefa5dda06fd6789d5886474ec03243eb9","observation_id":"b8de5093-802e-4e73-8ae9-a368366b54a9","resolution":{"observed_at":"2026-08-14T05:30:59.057010Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.044610Z","title":"Tanimoto and A","venue":null,"work_id":"b5ad1bfd-4b59-4fd6-81a1-4a5107664e35","year":2019},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.939310Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:8864c47ea90cfbecaf54bb24cfc361e6d5c32dc5e895c937a7218bf4c6204061","observation_id":"4e3c7fc1-3efb-4153-94a2-f540c94c84b0","resolution":{"observed_at":"2026-08-14T05:30:59.047622Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.035622Z","title":"Totaro, Hypersurfaces that are not stably rational , J","venue":null,"work_id":"f4b94265-2381-458d-bf68-ce6ebe363876","year":2015},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.941476Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:278385839ef87711d95d658901d7dca50e216574c9e925420f4acd3e3cef6171","observation_id":"065a2d13-2991-4aed-92a1-d217d5c40f2e","resolution":{"observed_at":"2026-08-14T05:30:59.039068Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.027162Z","title":"Vermeire, Some results on secant varieties leading to a geometric ﬂip c onstruction, Compos","venue":null,"work_id":"e47d799b-b957-4686-a57d-28cad174324f","year":2001},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.943538Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:b707d0466584008dcfb57734d5068c4149381ffdfab9b2653f60b7dceb273ef9","observation_id":"77e66b1b-76c7-4a92-9b4a-21a9c5cda807","resolution":{"observed_at":"2026-08-14T05:30:59.030203Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-14T05:30:59.018022Z","title":"Voisin, Segre classes of tautological bundles on Hilbert schemes of surfaces, Algebr","venue":null,"work_id":"38ad6f49-20cf-4168-ac10-3fe98c7a3e73","year":2019},"citing_paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","version":4},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-14T05:30:58.945832Z"},"links":{"citing_paper":"/paper/1909.01263"},"observation_digest":"sha256:aa0d677badb95dfa7fa5145ba0b9a73e41ebd1273b82736592b33c61e045f0ab","observation_id":"b458a4d4-4cfb-43dc-bc12-daf8151d95ad","resolution":{"observed_at":"2026-08-14T05:30:59.021176Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1909.01263","last_updated":"2021-11-29T11:38:36Z","latest_version":4,"primary_category":"math.AG","snapshot_observed_at":"2026-08-14T23:54:23.300734Z","submitted_at":"2019-09-03T15:53:55Z","title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds"},"reference_resolution":{"displayed":42,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":5,"verified_fuzzy":31},"total_outbound_references":42},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:1909.01263."}