{"as_of":"2026-08-08T06:12:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1ac0e60177b628141202eb994a8c9087d774fb2600fab492ed9daa66ead44c2d","coverage":[{"denominator":56,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":56,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-23T07:28:50.310380Z","state":"measured"},{"denominator":58,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":58,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T13:44:15.903809Z","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":"2026-08-06T20:04:14.663277Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.13624","snapshot_observed_at":"2026-08-07T13:44:15.903809Z","title":"On the rationality of some real threefolds","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.21477","last_updated":"2025-06-07T11:29:58Z","snapshot_observed_at":"2026-08-07T13:24:40.308778Z","submitted_at":"2025-05-27T17:50:05Z","title":"Vari\\'et\\'es r\\'eelles connexes non stablement rationnelles","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-07T13:44:15.903809Z"},"links":{"cited_paper":"/paper/2412.13624","citing_paper":"/paper/2505.21477"},"observation_digest":"sha256:e5d96f663b09681b21789d994b2ed036e268c97c1ec24d77bfd34e325d3f974d","observation_id":"3dd55922-de5f-457f-9158-84e66d5965ef","resolution":{"observed_at":"2026-08-07T13:44:15.903809Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"cited_work":{"arxiv_id":"2412.13624","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.13624","snapshot_observed_at":"2026-08-06T20:04:14.663277Z","title":"On the rationality of some real threefolds","venue":"math.AG","work_id":"8cfccace-b877-4d50-99f0-8f082b65d30b","year":2024},"citing_paper":{"arxiv_id":"2507.04012","last_updated":"2025-07-05T11:49:03Z","snapshot_observed_at":"2026-08-06T20:31:10.623921Z","submitted_at":"2025-07-05T11:49:03Z","title":"A rationality criterion for real Fano threefolds","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T20:04:13.228021Z"},"links":{"cited_paper":"/paper/2412.13624","citing_paper":"/paper/2507.04012"},"observation_digest":"sha256:10451b1e863bb5c09389f8d8ac830ca3d85a6cda2fc873feb2029a3ef8df0b81","observation_id":"229114d8-0d65-40f3-8da3-c194ace7e2ec","resolution":{"observed_at":"2026-08-06T20:04:14.702528Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.13624/citation-record","integrity":"/paper/2412.13624/integrity","json":"/paper/2412.13624/citation-record.json","paper":"/paper/2412.13624"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"write newline","venue":null,"work_id":"84245967-4120-4c9f-afb7-b6289b0ef9b4","year":null},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:25252fdbc8295d0709fef80e1b89d6a606ffa89f10c8cf35864fa36f36055791","observation_id":"cff4c4d5-b276-416f-b38b-317dd3eee28c","resolution":{"observed_at":"2026-05-23T08:07:45.392790Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Artin and D","venue":null,"work_id":"bf87afeb-2e98-40ee-8a2a-f488d2abf4d9","year":1972},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:2c65838306207abec856e64a6a3c973c667fb8784aebdb75472bce8623a5e828","observation_id":"ec94654c-48d5-4921-b1b1-383a67205105","resolution":{"observed_at":"2026-05-23T08:12:45.196830Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Ambro, Quasi-log varieties, Tr","venue":null,"work_id":"512a561d-cf4e-4090-8bc7-5c79a2302fea","year":2003},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:752046bb8f5e3a0c3d3b20f06115d991e05f4a28a3a5d34a8b76d072f99dd11d","observation_id":"7bba7411-d45b-4a73-b0fd-ac39cd252610","resolution":{"observed_at":"2026-05-23T08:07:45.365211Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Arason, Cohomologische invarianten quadratischer F ormen , J","venue":null,"work_id":"fecb56b0-8b58-4e4d-acaf-13cefebd2dc9","year":1975},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:8ba5040616942237a3b5dfda3ddf54663000557615e1ef76989cfa608a09c0dd","observation_id":"dee52448-194e-44b7-bc2e-67ef38309e76","resolution":{"observed_at":"2026-05-23T08:07:45.377676Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"d547fac1-3aec-478f-a3b8-2a01b3ce61db","year":2014},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:f87f625f79b1667e2cb653f0931c3620b2b7776728add37398224fe24fb7fc78","observation_id":"9d332abf-7725-4869-9a68-9f297092b8bc","resolution":{"observed_at":"2026-05-23T08:07:45.380922Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"18a52a12-26e4-413b-a72c-61a255118aed","year":2023},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:01bf011e9ecce98157f90a5c7f093dbb48c0ec5118a8dba82114ff0aa697f9d5","observation_id":"9490a690-e254-4ae5-88e9-e5935890c6c8","resolution":{"observed_at":"2026-05-23T08:07:45.360195Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Blanc, I","venue":null,"work_id":"f53fed99-9f7c-4854-9618-5d83e27b4f46","year":2023},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:1564c3cef8da52724c4aea1a687a5b45211fd4099b71f14304a920c2fa820fb0","observation_id":"e1b5f1be-0067-48dd-a842-0056a99590a6","resolution":{"observed_at":"2026-05-23T08:07:45.388070Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Bochnak, M","venue":null,"work_id":"32cb0a48-8af8-486d-b3c5-62ed7913b803","year":1998},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:0e7e3de7b0a23002a7822f0d851c1c4c5fe501356b75ef39f80dfeaa318b25d3","observation_id":"0a84ba99-2f54-4bb9-884e-39e54b6130a7","resolution":{"observed_at":"2026-05-23T08:12:45.274827Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Beauville, Vari\\'et\\'es de P rym et jacobiennes interm\\'ediaires , Ann","venue":null,"work_id":"9530a619-00a5-4203-afde-c1fea3129cf4","year":1977},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:befde4c62f65334a76d184e1b403ea74bfce0b3bfe73f20f533e70f9d72610a5","observation_id":"ce38c77e-c795-408b-9c17-116d5b4f5964","resolution":{"observed_at":"2026-05-23T08:12:45.263987Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"34, Cambridge University Press, Cambridge","venue":null,"work_id":"d98f3861-96ef-4a45-95dd-695c1b0cff67","year":1996},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:caa1b840003a6ea9a0d148157fa2b1bf4138aac6779c075781b700a325cbf387","observation_id":"eb459b1a-ea8f-4522-8b18-b6a3703b1daf","resolution":{"observed_at":"2026-05-23T08:12:45.230033Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Birkar, Existence of log canonical flips and a special LMMP , Publ","venue":null,"work_id":"483904d1-0d33-44c1-848c-d52b56d37833","year":2012},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:69af0ffa59a24d042db4420c4e35673c784b9607c13e9fa246a3652aa94db5e8","observation_id":"dd15208a-9a20-4c26-994a-a48448553cee","resolution":{"observed_at":"2026-05-23T08:12:45.315082Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Blanc, S","venue":null,"work_id":"3eb3c37f-94e1-459f-92bc-271f3cf016db","year":2021},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:d9e07bd14e8befa574ebb6470d306c90ec71b0f5e06c86d1356316dfec6a39db","observation_id":"c2ea10b1-cc97-438a-baa9-43f2628e2766","resolution":{"observed_at":"2026-05-23T08:12:45.281590Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Benoist and O","venue":null,"work_id":"6cef90ea-66c3-4409-986f-4a240fb753be","year":2020},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:0023e3f7dd430b5a4769959ca1aac1c38201c6e3a2e6758a0a116ff172e38001","observation_id":"a48c1308-d6e7-425a-80d6-bcf1f4e4f5d6","resolution":{"observed_at":"2026-05-23T08:12:45.260752Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"50498715-b9e0-47ab-8fae-ff781aa46de5","year":2023},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:2d87ae0fea69fbe5e504ee57669b3f0e2ba2812d92d593e71583c83f3bcd9137","observation_id":"fd58e5b5-4700-415d-92d8-18ce9fdcfb8c","resolution":{"observed_at":"2026-05-23T08:07:45.396416Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Castelnuovo, Sulle superficie di genere 0 , Memorie della Societ \\`a dei XL (3) 10 (1896), 103--123","venue":null,"work_id":"4fec234e-2c25-42f0-919b-396ffc356a9c","year":null},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:1a8a3e44d523860a4fb79ea5c2648a7536c06b8c4049af719f8ed3c1a1499084","observation_id":"df9c9a75-1583-43a8-a382-d4d576836adc","resolution":{"observed_at":"2026-05-23T08:07:45.400124Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Clemens and P","venue":null,"work_id":"e5f21b40-b2ca-4291-9ce9-a4e6eba69ee5","year":1972},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:712e9a94633a6906ff687b4c72ea8767f2b35ab048c89caffbd46d2cb21d0c37","observation_id":"ee42cec8-7f8c-41b8-95e8-7911fb59f381","resolution":{"observed_at":"2026-05-23T08:12:45.304932Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Chen, On threefold canonical thresholds, Adv","venue":null,"work_id":"99ab60ea-ad5d-4f95-9465-1f7530647d4c","year":2022},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:0b656097a98c174163092af8d105bbb4b4d17069ea5ac0fa0a12beac41ecd4b4","observation_id":"3f391585-f8bd-4738-a824-f5d2f6c9e41d","resolution":{"observed_at":"2026-05-23T08:12:45.308555Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Corti, Factoring birational maps of threefolds after S arkisov , J","venue":null,"work_id":"730d0f61-d667-4b95-b50a-8a0f168529c5","year":1995},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:ea8b8fbcfc6f41b2bc748a26602b65489d6a17e92d1ebe7273c7813d729f14c1","observation_id":"1caa0fab-4f2b-4720-8ea9-12bc81a923ab","resolution":{"observed_at":"2026-05-23T08:12:45.301662Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"281, Cambridge Univ","venue":null,"work_id":"de2bb148-2df5-4477-a9b1-4e89a51df395","year":2000},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:a5d8f2e9dadf32c7becfd84aac15806937312c44fbabee24ddd96ffeb7b692fc","observation_id":"be43d365-c514-4c0a-82f0-09a099c237d6","resolution":{"observed_at":"2026-05-23T08:12:45.219211Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Cheltsov and C","venue":null,"work_id":"d90c0bb5-5b01-4261-960c-0e738c0c91cd","year":2016},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:6215c39c5ed5056f832ab6f1069c9c6be141b631712a6ad5415c21efa365cd9a","observation_id":"47c42ae3-133c-4de8-b9a5-37a424a10afc","resolution":{"observed_at":"2026-05-23T08:12:45.237209Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"(N.S.) 25 (2019), no","venue":null,"work_id":"b29f0e22-5313-414f-9e5c-e46ec8bee96b","year":2019},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:f54c01c74c56545f2b41694d515dc675d381a53f67e05b948b8b16491c87a770","observation_id":"74f1dfe9-5a17-4327-93e4-8edbb3b58aa2","resolution":{"observed_at":"2026-05-23T08:12:45.332852Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Colliot-Th\\'el\\`ene and M","venue":null,"work_id":"b074b525-ce83-474b-a855-1da74fb3e1db","year":1989},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:22aa515e8454ab15e1b5efe0bfed619175272111660da45100c6c6099226d04c","observation_id":"95d64de2-4eea-4351-955f-b869b2ef341a","resolution":{"observed_at":"2026-05-23T08:12:45.295031Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Colliot- T h\\'el\\`ene and A","venue":null,"work_id":"6f927949-6743-4604-aba7-77d1c334d443","year":2016},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:ca6bbbc59514259afee4bfd15dbdac6868402cf56cc7975d1b49721b5400546f","observation_id":"491f23f2-393e-4470-8c26-553a7bb7cff1","resolution":{"observed_at":"2026-05-23T08:12:45.215807Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2406.00463","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"ac353a93-cb70-49db-acf1-831b7369d860","year":2024},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:b54695a8fceef55fa38df9d92458f35f77a6626006b7f179457a212cd4c90985","observation_id":"8278a075-79b2-438d-990b-d08120796d11","resolution":{"observed_at":"2026-05-23T07:32:43.200668Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Colliot-Th\\'el\\`ene and A","venue":null,"work_id":"ce6b7293-726c-49ab-9fbf-f4118a2f8c61","year":1993},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:d747ce9b24ab9a7b706d6ab88b0dc7ce20dffcc6bc746748970a16e8a177e0d5","observation_id":"109fb6a1-a019-4971-bd19-ef130cfcc0b0","resolution":{"observed_at":"2026-05-23T08:12:45.325932Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.14379","last_updated":"2024-11-21T18:13:05Z","snapshot_observed_at":"2026-07-06T19:53:56.407834Z","submitted_at":"2024-11-21T18:13:05Z","title":"Rationality of singular cubic threefolds over $\\mathbb R$","version":1},"cited_work":{"arxiv_id":"2411.14379","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2411.14379","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Cheltsov, Y","venue":null,"work_id":"83a0e61f-ce10-485d-b325-5ed20d9c88c4","year":2024},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"cited_paper":"/paper/2411.14379","citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:c26c00b1e3ba9f8cd78a67f4ece96089fd5b74a684d8871baa767d40003fe460","observation_id":"8fd3b255-382e-499a-a8f2-6e80d25c5ed2","resolution":{"observed_at":"2026-05-23T07:32:43.194666Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.13510","last_updated":"2026-06-18T02:09:21Z","snapshot_observed_at":"2026-08-04T06:02:45.326491Z","submitted_at":"2024-06-19T12:56:59Z","title":"Conic bundle threefolds differing by a constant Brauer class and connections to rationality","version":2},"cited_work":{"arxiv_id":"2406.13510","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2406.13510","snapshot_observed_at":"2026-06-19T17:11:28.889146Z","title":null,"venue":null,"work_id":"915ea29a-f3f9-4197-831e-05e2d583b1c7","year":2024},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"cited_paper":"/paper/2406.13510","citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:fadbe86a1b32ea00659d04f66d55fc2b4fb552fdd623f472b598de3b1c52872c","observation_id":"4f95c956-1968-431b-8d20-5bc0f0ca1776","resolution":{"observed_at":"2026-06-19T17:11:28.889146Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"24b8e767-14ed-413c-858a-fb604114bad0","year":2024},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:a08d8bc01ed2cb072a24a86dac615dea756af34e1b27afabde067150667ff865","observation_id":"ec6c11fe-84d0-4b42-9261-dbd3d850113e","resolution":{"observed_at":"2026-05-23T08:12:45.226408Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-07-07T07:53:28.344365Z","title":"Fujino, Fundamental theorems for the log minimal model program, Publ","venue":null,"work_id":"38f89c0a-d3ff-40c0-9056-73b3fe6097d0","year":2011},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:118dafb466cdee47a0d3b3c71295df0e75f040488066eac15b9320388184d1a9","observation_id":"2b7c2519-63e7-4539-a3cd-65bb1fbec4dc","resolution":{"observed_at":"2026-05-23T08:12:45.318746Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Gille and T","venue":null,"work_id":"042491a9-7e2a-4603-b531-31fb629298f5","year":2017},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:6031e640fd189991e47f77688eab26bab5b2829d89ef915600a1dd6a475cc3ba","observation_id":"cc1aacab-7e55-42df-bca9-7adbfe465271","resolution":{"observed_at":"2026-05-23T08:12:45.284944Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"44cf3065-d3c7-4d12-91b5-8f9b9ecba9dc","year":2013},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:6c3e2393927403f1079b20ac3e5fd7d2ccd73919659ac30b5bccf2ae3fb81fb5","observation_id":"4ba33e2d-c4d1-43c5-9a5c-c08c2732f256","resolution":{"observed_at":"2026-05-23T08:12:45.250462Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Hassett and Y","venue":null,"work_id":"64725682-db01-45da-9055-38ed84c0b505","year":2021},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:e73e1102f71d07e4acee0efee6a57baaa98300ae9930628b4026d26ab5415f17","observation_id":"bcb27d4b-afe0-4f1c-a386-82a9953bcb48","resolution":{"observed_at":"2026-05-23T08:12:45.278075Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"ab75b749-cfac-42b0-8f67-6d68ccc9a276","year":2021},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:64dc879ca12f2da21dea3c10f6f6fcfc81cdbdd579070fccacddb6bbbbb5d53b","observation_id":"f57b5b2e-196f-4cf8-b14e-fc230c963943","resolution":{"observed_at":"2026-05-23T08:12:45.291450Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"537d1fe2-2a60-4bf7-8fb0-4aa579a93f7c","year":2013},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:2effff0d646b253d81e5944add6e4ecaea8830c8a6750725127e5d8e277d80d5","observation_id":"32b40dd7-e8df-4ee4-9141-226ce510723e","resolution":{"observed_at":"2026-05-23T08:12:45.222636Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Iskovskikh and Y","venue":null,"work_id":"9c59cb9b-dc43-44d9-89ba-e4063b13d4bc","year":1971},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:fa6ddfe9c634cc273546648be1302eca5f94e4b1883f3a5fee1419794bd72028","observation_id":"605bd8d7-8a0f-4fb0-a2d2-087811038b8b","resolution":{"observed_at":"2026-05-23T08:12:45.288232Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"66a70e4e-40cb-4b67-a821-f2fffaa5dda9","year":1980},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:7be65f04fb05651fb13a6c9ce2f2b19f8cfb9839c93b3f9f8d0f90f31366b0a2","observation_id":"d9d7e2cc-0e82-45a7-83ca-443ea43c12e5","resolution":{"observed_at":"2026-05-23T08:12:45.193475Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Ji and M","venue":null,"work_id":"8ad49454-0444-4394-bfeb-9cbc7a4b167e","year":2024},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:04b98b5d103b4068c6b9091e1a88718ba15c888ab605c422ec18f357b33ff13a","observation_id":"e6ec7011-4dff-46ef-ae23-5220695f1f76","resolution":{"observed_at":"2026-05-23T08:12:45.247216Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Kawamata, Boundedness of Q - F ano threefolds , Proceedings of the I nternational C onference on A lgebra D edicated to the M emory of A","venue":null,"work_id":"0ba645f0-4d80-4ec6-af1d-9b18564a6dfa","year":1992},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:ab44535502bab2f40b72f86cdaf2621db573565c7b4ea0f5492d6a9251523f33","observation_id":"897b9899-ee3f-43f4-83b5-662cab1f8894","resolution":{"observed_at":"2026-05-23T08:12:45.254136Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Koll\\' a r and K","venue":null,"work_id":"8a1c25a6-114c-49fa-adab-5713e942e74f","year":1992},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:708012ccb6fcca98db10ac93d300cf991e7c21ba2b3375725055f8c97421a882","observation_id":"494e2473-5750-43f8-9184-6c35f1a476a5","resolution":{"observed_at":"2026-05-23T08:12:45.329207Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Koll\\'ar and S","venue":null,"work_id":"da16fff5-be57-4aae-a05f-e887d0d87177","year":1998},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:0a599abd9fd4bfef05eb037fc9cbb7781089aac5576a7553197c0399812faf5c","observation_id":"841f7ba0-e1e9-48f2-bc46-6542e99984bb","resolution":{"observed_at":"2026-05-23T08:12:45.271295Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Knebusch, On algebraic curves over real closed fields","venue":null,"work_id":"429419c9-0507-449b-978e-b61ba8743ff8","year":1976},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:53ac3d1ff7f6a6040d3be1272d3f3230f174c2d743ebb47da0f65c0786df6cd3","observation_id":"11efbd2c-349f-42f7-89bc-2086a06a1f70","resolution":{"observed_at":"2026-05-23T08:12:45.212375Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Koll\\'ar, The topology of real algebraic varieties, Current developments in mathematics, 2000, Int","venue":null,"work_id":"5ada63df-7b8e-4fc8-8c8c-98f947127fdf","year":2000},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:253a885dd1d304bd556f25f79630e1f567121222e1e2556f77c70a44cffd8704","observation_id":"c9571abe-4f57-461d-9c34-f473d6b7de12","resolution":{"observed_at":"2026-05-23T08:12:45.322721Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"4d2e3879-5ce3-44f8-8686-f2e99a97db73","year":2017},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:b23a0203b0ffbd5aa73ef5e8afe199a9b91bbfed0e591bd4bdaaa8f8cbb50eaa","observation_id":"9be4ae3a-9b17-49cf-96ef-6135b67a4e16","resolution":{"observed_at":"2026-05-23T08:12:45.267737Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"6f08857c-365c-4b49-9628-dc4617233666","year":2024},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:264e9c631b2f0bf0cbfb711772f94d3145a06ff206725c90acaeefb464571ba6","observation_id":"fe228074-43ed-4510-bb52-7b61f90375ea","resolution":{"observed_at":"2026-05-23T08:12:45.233433Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Kuznetsov and Y","venue":null,"work_id":"c6f66254-2d55-4a24-9e26-0f97e7e1e5fc","year":2023},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:8418560af12c455c295b58e23fc23394efaafc48bed9ab8fe140e7bdc9f6de08","observation_id":"e02c790c-17da-49cc-89ef-53fd066df0e6","resolution":{"observed_at":"2026-05-23T08:12:45.244055Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Manin, Rational surfaces over perfect fields, Publ","venue":null,"work_id":"4edcaf84-6096-4084-921e-570f62171895","year":1966},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:ea27f31cd822a34db21d7e6f9b2494632edef863aa32ba80a68a1376815f7291","observation_id":"1f63952f-1659-41e0-a1d7-4fcbf9267ab2","resolution":{"observed_at":"2026-05-23T08:12:45.336274Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Oesinghaus, Conic bundles and iterated root stacks, Eur","venue":null,"work_id":"4bacba10-1c6b-402d-86eb-203618477b83","year":2019},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:7fb39fa36bce46d0668f8fba12311b88285542b719b14798d2803b4cd14db767","observation_id":"4a572287-b1b7-4d75-b8c2-61d3ce715244","resolution":{"observed_at":"2026-05-23T08:12:45.205154Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Pfister, Zur D arstellung von -1 als S umme von Q uadraten in einem K \\\"orper , J","venue":null,"work_id":"7728ea72-9ffd-4f16-b430-81d6cd028174","year":1965},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:3b8d3e6ccffe4626974a0e3801ef2857e0a94fac75c05fe7b08939e1f1a78d73","observation_id":"53689fcb-f4f7-41a5-a2f3-d7d92ac80e12","resolution":{"observed_at":"2026-05-23T08:12:45.240708Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"cf38441b-c455-4cb2-a01c-b1636020b64a","year":2018},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:1b172f87a5726b5356cef6e442b8eb7370054152cd444f6f29aecbd32fefd751","observation_id":"45ec219a-acd3-4ef4-aca3-fb178ed5a098","resolution":{"observed_at":"2026-05-23T08:12:45.311880Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Nauk 76 (2021), no","venue":null,"work_id":"fd05a776-6c67-41e2-9ca2-20b37d066563","year":2021},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:767e7dbb96b49c503fd15fea5b91a4921c6d61b96267e937ce1ef4df22664c6a","observation_id":"a9e91a81-4dbf-43f4-9f7d-37c65d04ed3d","resolution":{"observed_at":"2026-05-23T08:12:45.208467Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"413--437","venue":null,"work_id":"43f40091-d068-4c81-ba70-75f44a7b1b6d","year":2023},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:060f5a250c2eb991af815028bed34cc404c89e5be187ab8d6a79ac4a50ccab93","observation_id":"40da550a-4154-40a4-bf71-27b5b4da586c","resolution":{"observed_at":"2026-05-23T08:12:45.201526Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"1cde1c8f-046f-4b20-ac78-81007f8d3819","year":1981},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:41b9e119094bf4106233efb98e90862c660a913c136990b5fe2cc54b6101571e","observation_id":"977272ea-6f2c-47b5-a3f3-be274b4e8f7a","resolution":{"observed_at":"2026-05-23T08:07:45.384261Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"USSR Izv","venue":null,"work_id":"df580545-d564-4bd1-b0cc-f46e84d5a7ef","year":1982},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:a50cf501c53d8da0ddb181c7337fd04358a88bc8b06386e9905cfaefc853de5a","observation_id":"2bfd9065-ae6d-465a-ae89-c57cde295796","resolution":{"observed_at":"2026-05-23T08:12:45.257633Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Segre, On the rational solutions of homogeneous cubic equations in four variables, Math","venue":null,"work_id":"ea3c2040-3c96-4dad-82b1-50d90877b6d4","year":1951},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:52fe98a3477f67506385ba8c33b3cfacb890f6bcb9ad82cacfccb1673d8889cf","observation_id":"d490b91d-44b0-459f-8e4c-ad63a312cab8","resolution":{"observed_at":"2026-05-23T08:07:45.373994Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"043db5d7-e758-4cfa-8ca2-01b68076ea53","year":1984},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:b8b6b110176507abe418a8d6a34f315aa0ec9d3790e7edd4aefd5ed1df72980d","observation_id":"6c8bdc0c-4fd5-4c56-90af-90ffd76edd4b","resolution":{"observed_at":"2026-05-23T08:07:45.369985Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"81, 1996, Algebraic geometry, 4, pp","venue":null,"work_id":"040f8739-8d89-4a96-bd29-885a903c9c30","year":1996},"citing_paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds","version":2},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-05-23T07:28:50.310380Z"},"links":{"citing_paper":"/paper/2412.13624"},"observation_digest":"sha256:2347e1fe31fe1fc34cf7da763f7bfabb4d317dfcd19f8eef36e97bccfc8c6796","observation_id":"2f99f5ae-2253-4862-89b7-fd6d3e4bca04","resolution":{"observed_at":"2026-05-23T08:12:45.298485Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.13624","last_updated":"2026-03-04T14:06:52Z","latest_version":2,"primary_category":"math.AG","snapshot_observed_at":"2026-08-02T07:19:57.246824Z","submitted_at":"2024-12-18T09:04:09Z","title":"On the rationality of some real threefolds"},"reference_resolution":{"displayed":56,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":13,"verified_exact":3,"verified_fuzzy":40},"total_outbound_references":56},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 2 inbound Pith citation observations for arXiv:2412.13624."}