{"as_of":"2026-08-08T09:57:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:cad4037eb3792f0ff855a1934a413cb1dd43d4a80cdc9cca839c58192391879a","coverage":[{"denominator":53,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":53,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T11:57:25.900828Z","state":"measured"},{"denominator":54,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":54,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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":"2026-08-04T23:40:00.664966Z","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":"2026-08-04T23:40:01.308537Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"cited_work":{"arxiv_id":"2506.01345","doi":null,"metadata_source":"pith","pith_arxiv_id":"2506.01345","snapshot_observed_at":"2026-08-04T23:40:01.308537Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","venue":"math.AG","work_id":"1df77772-fcb9-4c77-8928-33cb2864f0f7","year":2025},"citing_paper":{"arxiv_id":"2509.06527","last_updated":"2026-05-31T12:41:55Z","snapshot_observed_at":"2026-08-04T23:39:58.349366Z","submitted_at":"2025-09-08T10:32:59Z","title":"{\\delta}-rings, perfectoid towers, and lim Cohen-Macaulay sequences","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-04T23:40:00.664966Z"},"links":{"cited_paper":"/paper/2506.01345","citing_paper":"/paper/2509.06527"},"observation_digest":"sha256:d9b4d978f3e1f9a2c41841067d0e049d9264c6fb9effb2530fd1fcff3c01ee71","observation_id":"6121d7cc-2af0-4fd5-beb9-0c3fbd60032b","resolution":{"observed_at":"2026-08-04T23:40:01.313315Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2506.01345/citation-record","integrity":"/paper/2506.01345/integrity","json":"/paper/2506.01345/citation-record.json","paper":"/paper/2506.01345"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:57:26.431069Z","title":"Achinger, J","venue":null,"work_id":"c7301a06-0492-4d66-87a7-c3bdea95a023","year":2021},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.735959Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:c04d61c37a4cd200b9384ab39500b4ca354485b9e5c24e36199f05c1e45b75d4","observation_id":"afed8c68-2826-408f-b418-6b1cf9dd5b54","resolution":{"observed_at":"2026-08-07T11:57:26.433800Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.422093Z","title":"Achinger, J","venue":null,"work_id":"06b240f7-c0e4-4048-9f7c-835711a6888f","year":2023},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.739607Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:4875b8fa50e8cddf165fc025d9018649958eaddc57b5463a4f8509a98a006b8b","observation_id":"a4ada7ea-adf3-4286-bffa-b9e29b111117","resolution":{"observed_at":"2026-08-07T11:57:26.425315Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.412990Z","title":"Achinger and M","venue":null,"work_id":"b1117bdd-9bc5-4d0d-a437-17fd6991b802","year":2021},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.742490Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:702c5e666a304ef3ead6e985acfbe1ab96c14434da7ae9196918b603fa399289","observation_id":"b51626f8-f893-449f-b798-9e2758df6868","resolution":{"observed_at":"2026-08-07T11:57:26.415805Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.403613Z","title":null,"venue":null,"work_id":"8675143b-e7ad-445e-8061-1506251fafa4","year":1980},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.745628Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:1becd5be9ad90d35daa930d496ec99a5118f5d8efc63e855e68bd17e7f8e7114","observation_id":"1e561e23-fbe6-4a55-90c0-3c75b768a52f","resolution":{"observed_at":"2026-08-07T11:57:26.406876Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.394152Z","title":"Arabia, Relèvements des algèbres lisses et de leurs morphismes , Commentarii Mathematici Helvetici 76 (2001), 607–639","venue":null,"work_id":"0b80dfda-b033-421c-8724-996e95303134","year":2001},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.748441Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:044d7b4a76d533d86fa24ea3e98f089f2cfefa0d44e2e04a9dae370d6f36295c","observation_id":"902fa0c9-78c0-4fea-be4d-1db225512824","resolution":{"observed_at":"2026-08-07T11:57:26.397401Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.383365Z","title":"Beauville, Endomorphisms of hypersurfaces and other manifolds , International Mathematics Research Notices 1 (2001), 53–58","venue":null,"work_id":"e4f172ff-4e38-40de-8ae0-587c0b3d54d4","year":2001},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.751550Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:497cad135b567a85314ad7430aee494fd3853210db933ce417820524361942c5","observation_id":"ebf6c7f9-f33d-40cb-8728-bd16864292db","resolution":{"observed_at":"2026-08-07T11:57:26.387659Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.374760Z","title":"Bernasconi, I","venue":null,"work_id":"f945d0eb-90d6-4d78-a661-ae7881c3ef37","year":2024},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.755626Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:1be919fda95a670b8c69e6f8ed3211158b00f5a10b3d0def519c33f7a9cdd81f","observation_id":"360d16f1-2abb-4a04-9ba3-b5e11cef2c7a","resolution":{"observed_at":"2026-08-07T11:57:26.377419Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.365495Z","title":"Bhatt and P","venue":null,"work_id":"563b333f-ec35-4423-a096-d886fce24988","year":2022},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.758566Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:97b61dae1be22e968dca7f4f47a6aad32383e24121c7efcfc1b3a676ac3a13ae","observation_id":"40a38ec1-965a-49a5-965d-c7f769cfc1db","resolution":{"observed_at":"2026-08-07T11:57:26.368487Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.17965","last_updated":"2026-07-08T16:28:57Z","snapshot_observed_at":"2026-08-05T10:59:59.638989Z","submitted_at":"2024-09-26T15:41:42Z","title":"Perfectoid pure singularities","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.17965","snapshot_observed_at":"2026-08-07T11:57:25.761526Z","title":"Bhatt, L","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.761526Z"},"links":{"cited_paper":"/paper/2409.17965","citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:f0a983198b7e8fffe470e5f9b4c94fe05f20902b1993129b228aac8a93733346","observation_id":"2e50458d-9132-46bc-b145-388b39eefe41","resolution":{"observed_at":"2026-08-07T11:57:25.761526Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:57:26.357372Z","title":"Bloch and K","venue":null,"work_id":"9e46b0a1-5419-4286-91b7-2739e0aaaab3","year":1986},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.765002Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:75f958e1ebea1e0fcbb0331c0fcf016aac7bfb86de848b1ad9c9f4b8bca0d4af","observation_id":"7ab23943-b95c-49c8-baa7-130ab431e9dd","resolution":{"observed_at":"2026-08-07T11:57:26.360135Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.347402Z","title":"Borger, The basic geometry of Witt vectors","venue":null,"work_id":"d1ee57a4-86e4-49e1-b3f1-305a6a233d58","year":2011},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.767913Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:3695af9890efee428751a5e3b1a745b9460c2a9118796b8741249e88cfbf93bb","observation_id":"45e290c4-ab0c-4bbd-891a-52af8e4f2142","resolution":{"observed_at":"2026-08-07T11:57:26.350648Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.338600Z","title":"Borger and L","venue":null,"work_id":"28b4ada8-d4bd-45cf-8ab2-484acd4345fc","year":2019},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.771357Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:b14f00989e0fc7c00e77abcad685861fd61e1e5dc87f1f1e04f0c0e022b2fafa","observation_id":"c33b6ee9-b5bb-4f52-ba1f-e33166de056f","resolution":{"observed_at":"2026-08-07T11:57:26.341427Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.330211Z","title":"Borger and L","venue":null,"work_id":"17a84f95-e337-40e8-9e84-300337223d5e","year":2020},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.775155Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:9a194a8ccff0a76ccca00452b40b0d5e7cdbd5baf3576080b506790122509b95","observation_id":"5b1a5ee3-f5a5-4337-ad2f-ec27e6aa41ed","resolution":{"observed_at":"2026-08-07T11:57:26.332870Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.320926Z","title":"Bourbaki, Commutative Algebra, Chap","venue":null,"work_id":"94ff6c00-99cc-4587-ad81-8eeee35b29f5","year":1998},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.777831Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:8e4475e058109db82e55885d14ca9d5b34a092210c53acedbd71392488524f70","observation_id":"d92da1a8-7403-4f64-9ca5-01e25eb7acf2","resolution":{"observed_at":"2026-08-07T11:57:26.324371Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.09256","last_updated":"2025-05-25T22:49:54Z","snapshot_observed_at":"2026-07-06T18:45:22.812592Z","submitted_at":"2024-07-12T13:35:47Z","title":"Deformations and Lifts of Calabi-Yau Varieties in Characteristic $p$","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.09256","snapshot_observed_at":"2026-08-07T11:57:25.780740Z","title":"Brantner and L","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.780740Z"},"links":{"cited_paper":"/paper/2407.09256","citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:c35569248fe449ed3abdd1aba50b34713a6f1c9611c03e9f97d1c9daf24e03c5","observation_id":"91a56590-7d7f-493d-8a0c-5c7b49578afe","resolution":{"observed_at":"2026-08-07T11:57:25.780740Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:57:26.312443Z","title":"Bruns and J","venue":null,"work_id":"2cced1c9-7c1c-4385-aec9-3864ad016b55","year":1998},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.784183Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:eb0b21ef85c189830728045e3d786873fc9839cbb27895b1acdd68be5d6edc8f","observation_id":"a822d779-25da-4a5a-877e-6eb4aeec0a9a","resolution":{"observed_at":"2026-08-07T11:57:26.315185Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.303077Z","title":"Dupuy, Positivity and lifts of the Frobenius , Math","venue":null,"work_id":"e4255e95-a37a-4036-88f0-98688a89122f","year":2014},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.787149Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:23fd7c047afa1d71890672f9b69ef339b6195e7ed30ae36fce2b5fe2b3fe6de2","observation_id":"3a1f64b1-e17f-4a26-8170-3741dbd33876","resolution":{"observed_at":"2026-08-07T11:57:26.306282Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.294067Z","title":null,"venue":null,"work_id":"456f8e06-aefa-4edc-8e54-9a2a5f741019","year":2019},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.789971Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:de87e643e839478d48a64deb2655875aa457c40582f19cabcb17c6bb74a043c1","observation_id":"efb844ea-3b9f-4708-847b-84e6e7b3819c","resolution":{"observed_at":"2026-08-07T11:57:26.297002Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2303.09894","last_updated":"2023-03-17T11:15:02Z","snapshot_observed_at":"2026-07-06T15:04:52.656634Z","submitted_at":"2023-03-17T11:15:02Z","title":"Varieties in positive characteristic with numerically flat log cotangent bundle","version":1},"cited_work":{"arxiv_id":"2303.09894","doi":null,"metadata_source":"pith","pith_arxiv_id":"2303.09894","snapshot_observed_at":"2026-08-07T11:57:25.930769Z","title":"Varieties in positive characteristic with numerically flat log cotangent bundle","venue":"math.AG","work_id":"48da90b4-4e13-4db6-9712-25cb29816241","year":2023},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.793084Z"},"links":{"cited_paper":"/paper/2303.09894","citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:9124002b1d85eebb155905ed273b9e89809859ca6f5ca2f4f78f882a2d9cba70","observation_id":"e0ab2381-c6e7-4f6c-8545-ce9d32018fa3","resolution":{"observed_at":"2026-08-07T11:57:25.936051Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.285216Z","title":null,"venue":null,"work_id":"1da58509-90cc-42ad-960a-b58f5ff27c60","year":2021},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.796612Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:0bfe434d896b3d0599a9959b1f48b719e9e0dadcb8ccfb42e75f3ee12a7118aa","observation_id":"1f2cb15e-b0f0-4ac7-b9e2-4a5fc1aac262","resolution":{"observed_at":"2026-08-07T11:57:26.287979Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.275954Z","title":"Görtz and T","venue":null,"work_id":"5e52e01b-beee-476e-b58c-97a3232f6c33","year":2020},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.800006Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:ea3135b238258426eefed6b3efa9417d5c07200b24ae5836b1217097b1f92649","observation_id":"8f56fecb-c52e-402a-9893-cf778b1ce07c","resolution":{"observed_at":"2026-08-07T11:57:26.279115Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.266908Z","title":"Görtz and T","venue":null,"work_id":"90440fe3-53a6-4f70-9c49-e2c4867bf5e1","year":2023},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.803526Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:f4931589215b95ece7ca1fe8bddcf3fdeb5a0cd59720214406a2bd63007e460c","observation_id":"0bbff761-1f01-42a9-b5a6-5ad61a1541b2","resolution":{"observed_at":"2026-08-07T11:57:26.269727Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.258792Z","title":"Grothendieck, Élements de Géométrie Algébrique III , Publications Math","venue":null,"work_id":"c20564c8-9e44-433f-9884-61b25a098eee","year":1961},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.806310Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:e7f060984db218d05d2666f6aacf201d1aea3e06d7ac1cdbd5ce068c329f9c42","observation_id":"b9990057-5243-4120-ba8e-bbc31966fd7c","resolution":{"observed_at":"2026-08-07T11:57:26.261527Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.250366Z","title":"Grothendieck, Élements de Géométrie Algébrique IV, Quatriéme partie , Publications Math","venue":null,"work_id":"08eefe33-2d0f-49ce-9637-1951c88acf08","year":1967},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.809529Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:1fb1e28767d122d99a2767f8d67020716b8e740de887d7c79c4c7bc0c4f6fe0c","observation_id":"c2aa9b7b-ee01-43b2-9a24-7279a97e8f9e","resolution":{"observed_at":"2026-08-07T11:57:26.253241Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.241298Z","title":"Grothendieck, Théorie des Topos et Cohomologie Etale des Schémas","venue":null,"work_id":"070c67c3-84b6-4929-9082-30a9c57b82ef","year":1973},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.812488Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:6aeae01141ff25742585703b32f699ec0edb580e06a02c3661d1d52c5b0c37f3","observation_id":"ab8ec21b-5139-4bb1-8062-00507c5e767c","resolution":{"observed_at":"2026-08-07T11:57:26.244697Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.232574Z","title":"Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, 52 Springer (1983)","venue":null,"work_id":"8cecc8d9-a2c0-4756-a5c8-721226d17168","year":1983},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.815460Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:a11e9f3885c58a4ae1d903378e4680dff3765bab856b1d2b52a99d6bb9bbdf5a","observation_id":"206c334c-a262-4475-8988-3f9bac682f8b","resolution":{"observed_at":"2026-08-07T11:57:26.235272Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.223131Z","title":"Illusie and M","venue":null,"work_id":"138d390f-3126-4867-8957-8af4b0c0cd3e","year":1983},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.818396Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:ca4c428da60f2bb82f42e83975e2a1137737c681f2ebda0ac53c73412ca215cf","observation_id":"f17ece7f-dd95-4532-b327-e29f206749cd","resolution":{"observed_at":"2026-08-07T11:57:26.226427Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.213019Z","title":"Illusie, Grothendieck’s existence theorem in formal geometry , Fundamental Algebraic Geometry, Mathematical Surveys and Monographs 123 AMS 2005","venue":null,"work_id":"2bf88b8f-ba49-453e-ac56-8275b18f7a41","year":2005},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.821532Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:351968379514588e842a9e40e81d822876d82fbe9b3fc50b57b2c785caf1f4c6","observation_id":"0c8ec07d-5431-4fab-8d6c-ac696c7c79a6","resolution":{"observed_at":"2026-08-07T11:57:26.216325Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.203294Z","title":"Illusie, Complexe Cotangent et Déformations I , Springer, Berlin, Heidelberg, 1971","venue":null,"work_id":"6211bcd0-532c-4239-a2f3-7b2da929803b","year":1971},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.824327Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:5f12541410a94650c90f9a4dbe03be4481dca512e2bd6e146922eb8f9544abd1","observation_id":"48a1131f-b660-43f3-bdbb-212e0f507cc8","resolution":{"observed_at":"2026-08-07T11:57:26.206417Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.192744Z","title":"Ishiro and K","venue":null,"work_id":"5763751a-7408-467d-8df1-9afc866beca0","year":null},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.827560Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:5d8ed98159d0c7cb8d8583d351aa3a52bdf83ec274fee4b980b58d6e8746dc22","observation_id":"71265d26-b381-4be5-a837-67974a6d74ca","resolution":{"observed_at":"2026-08-07T11:57:26.195982Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.182859Z","title":"Kanemitsu and K","venue":null,"work_id":"6b5b18e8-5e87-4673-9306-e2d60dab7ae2","year":2023},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.830481Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:46030d9e42358d0c3dbff58547c2e37f6b80f746fe8f6040117e7209a2ebe28e","observation_id":"a0f71866-93de-4187-ae71-b64874082cc1","resolution":{"observed_at":"2026-08-07T11:57:26.186307Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.173645Z","title":"Kato, Log smooth deformation theory , Tohoku Math","venue":null,"work_id":"f07c5228-a14e-4af4-a76f-7bb0f50bf875","year":1996},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.833234Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:6aa88190b4baae79a69f7891da29e82f3700edbe9945127aafe1a10ae9f5b9f2","observation_id":"28892167-9179-4b7e-8837-f716b80e2804","resolution":{"observed_at":"2026-08-07T11:57:26.176757Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.163274Z","title":"Katz, Serre-Tate local moduli , Algebraic surfaces (Orsay, 1976–78), Lecture Notes in Mat h., 868, Springer, Berlin-New York, 1981, 138–202","venue":null,"work_id":"4eef7146-51d1-4116-b4a0-451f0345d62a","year":1976},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.836779Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:0c4bc929e61cec9db3bd1686a46038e059ee40d04de0407f503fa3bfb5f67525","observation_id":"c2c106c2-eb5a-440d-a43b-4051fa72ce6f","resolution":{"observed_at":"2026-08-07T11:57:26.166408Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.152966Z","title":"Kollár, Quotients by finite equivalence relations , In Current developments in algebraic geometry, volume 59 of Math","venue":null,"work_id":"6c584269-db2b-4fb5-9f39-79b2263bfaee","year":2012},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.839623Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:6a42f8fe0ff976fd6ece8ab97f565347fc354aaf4d07aae5aad6932b796bb3b9","observation_id":"d91f30c5-0a3d-4d9e-9ca7-ceb50e1b1375","resolution":{"observed_at":"2026-08-07T11:57:26.156637Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.142907Z","title":"Laface and S","venue":null,"work_id":"4a70eed4-8e72-44dc-9884-d02aee02a239","year":2022},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.842416Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:619e92964c6f8dd09afe1236497096a94fcd2366c363adeb84407b26b65087d2","observation_id":"b7ae915d-49e4-456a-acbe-8c757f3fbdf3","resolution":{"observed_at":"2026-08-07T11:57:26.146520Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.133181Z","title":"Lurie, Higher topos theory , Annals of Mathematics Studies 170, Princeton University Press, Princeton, NJ, 2009","venue":null,"work_id":"c4f6250b-618f-42ed-8270-30082872e631","year":2009},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.845770Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:26165ad57fb9c640dd03d9e879788825373f522fecd9d78e5363079896e5fdff","observation_id":"09da060b-01e5-481a-80a1-c7f8faa4ac3d","resolution":{"observed_at":"2026-08-07T11:57:26.136377Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.123564Z","title":"Matsumoto, Good reduction criterion for K3 surfaces , Math","venue":null,"work_id":"ccb1f545-7481-4780-b490-95be8e17dcf8","year":2015},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.848514Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:28877a6c52b6b7b3019bffacc8317fa45c13ef11ebb25b4981d7829bbbb098b3","observation_id":"19f96919-c0e7-42d2-9eba-9e650afe8267","resolution":{"observed_at":"2026-08-07T11:57:26.126991Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.113588Z","title":"Matsumura, Commutative ring theory , Cambridge University Press","venue":null,"work_id":"f83b7271-e512-4586-837c-821e330e625d","year":1986},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.851505Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:14af2a2a4a5a94639745ccca40985a30c4bc60a1f2a430441ba67c5f686e893d","observation_id":"f1cf218a-788e-44b5-b6b3-585b23fa19f9","resolution":{"observed_at":"2026-08-07T11:57:26.116698Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.103116Z","title":null,"venue":null,"work_id":"88b76226-c4e6-48c4-8b0f-dc2a17c9e53b","year":1987},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.855118Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:5777b5b18e3dd0aed963a6895cae1069319928caf7feb2f2849fa048b739c454","observation_id":"9dff77fe-112a-4b80-ac6e-54b856cef1d2","resolution":{"observed_at":"2026-08-07T11:57:26.105976Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.093267Z","title":"Messing, The crystals associated to Barsotti-Tate groups: with appl ications to Abelian schemes , Lecture Notes in Math., 264 Springer, 1972","venue":null,"work_id":"d42d4df9-30a0-4538-8514-1daff390a590","year":1972},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.858862Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:407feae85e1dfa8f9aa643cd662d4baa67ed8c3f09b39eeb686195503673085e","observation_id":"1e567c7d-7740-4149-96b3-a5c94542f66a","resolution":{"observed_at":"2026-08-07T11:57:26.096788Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.083836Z","title":"Mumford, Abelian varieties , Tata Institute of Fundamental Research Studies in Mathema tics 5, Oxford University Press, London, 1970","venue":null,"work_id":"c025f529-609a-4b96-8e6a-3cdbd858a56a","year":1970},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.861784Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:e27a3072e65d3b2b8dd822b6998a6c798219d9e1199ba2a7663d497dec655ec4","observation_id":"e470a116-e413-4d65-b4f2-1403114a905d","resolution":{"observed_at":"2026-08-07T11:57:26.087192Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.074317Z","title":"Mustaţă and V","venue":null,"work_id":"3730fac9-2f18-46a8-8fdc-4cba351d896c","year":2011},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.864965Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:32c6f3c3e2992fdad8ab3c6d01628d3f65f0aab8b2498b12d7268aa7f8ed6885","observation_id":"c4b95b3f-3489-4eb4-b34e-a7b8e8cc62bb","resolution":{"observed_at":"2026-08-07T11:57:26.077220Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.064626Z","title":"Nakkajima, On infinitesimal liftings and degenerations of Hodge-de Rha m spectral sequences , J","venue":null,"work_id":"8e4f9013-bd31-44d2-84d7-e8e0b4ed3f22","year":1997},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.867964Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:2554a3e4dc132bc8afc6a378eb2468932182c901f7eb1d7df7daa516b336225c","observation_id":"c1cfa275-484e-4f40-8239-dcc1260a4f4c","resolution":{"observed_at":"2026-08-07T11:57:26.068291Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.054551Z","title":"Nitsure, Construction of Hilbert and Quot schemes , Fundamental Algebraic Geometry, Mathematical Surveys and Monographs 123 AMS 2005","venue":null,"work_id":"b1d3deb8-8e1f-4e7f-9177-0e1f7ca02174","year":2005},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.871427Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:78faf4d909e9484a152c3ae6b5689e9b73899408e212183f57324f02e27dbcb6","observation_id":"6faa64f6-b2b7-4f22-80ae-2b63993918fe","resolution":{"observed_at":"2026-08-07T11:57:26.058132Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.045251Z","title":"Ogus, Lectures on logarithmic geometry , Cambridge studies in advanced mathematics 178, Cambridge Uni- versity Press","venue":null,"work_id":"ba5d1066-533d-4e7a-b8c2-55ea1a190616","year":null},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.874437Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:0581a99ee81aaf8c1955a1114a7c5e01f4f79e022f71f4d4f5cb9b3eaaeb3c19","observation_id":"d0ec49ff-a7fd-498a-88f9-caa002d8293c","resolution":{"observed_at":"2026-08-07T11:57:26.048302Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.035859Z","title":null,"venue":null,"work_id":"3d806151-be40-4695-b472-b3b840be183c","year":2017},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.877693Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:20349e5d3ad65f19939fdda9c056ecfcce2e55a166da5f461aff1c71ec3891a5","observation_id":"10d7fbf5-bf51-43cf-8a30-bf67f5453a00","resolution":{"observed_at":"2026-08-07T11:57:26.038891Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.026515Z","title":"Shimomoto, On the semicontinuity problem of fibers and global F -regularity, Communications in Algebra 45 (2017), 1057–1075","venue":null,"work_id":"d0771e11-c31e-4db8-96ab-7db8d1f7ce5c","year":2017},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.880757Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:5dabb1745732e74643bd4c325f3c2cd7334ee8fac1770e7c80458dcbd52a568f","observation_id":"1ab10fb9-2365-402e-939f-d3e9c850e90e","resolution":{"observed_at":"2026-08-07T11:57:26.029692Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.016639Z","title":"Shimomoto and E","venue":null,"work_id":"45304c5a-5f8b-40c7-b62d-210b26280470","year":null},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.883793Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:96da212c609281d45f03f64bda70a8ad1472befdf7ab77a050d808814d66b0a6","observation_id":"fd67a56a-2fce-417a-b211-da321dbf4ac9","resolution":{"observed_at":"2026-08-07T11:57:26.019596Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:26.005924Z","title":null,"venue":null,"work_id":"9833eb42-cbeb-4d4b-876c-9289e17af295","year":2019},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.887424Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:9d37eff2474376a0d2b3ffaa09c0d685e65be2a1360bf62362511f919e06d3ae","observation_id":"31b52a0d-3f12-4f8e-afbd-1c815be784ff","resolution":{"observed_at":"2026-08-07T11:57:26.009241Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:25.994750Z","title":null,"venue":null,"work_id":"8a1f640c-063b-47f0-b85a-52efc149a3f5","year":null},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.890731Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:214aa1461e0925256c28e866da91e4fa1bc1c6a04287195581da1730cbeb1ea0","observation_id":"d12f4057-3f6f-4e12-b833-84fe7b3e5f18","resolution":{"observed_at":"2026-08-07T11:57:25.998352Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:25.984227Z","title":"Swanson and C","venue":null,"work_id":"e5f85563-d35a-4852-aa2e-b8049d40c5d1","year":null},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.893739Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:e03b16659fc7d5f3bb95dfd56067d6c1c7f7da0a7765d73790d1449e6b0c9472","observation_id":"a747b968-89ed-4414-b107-5540bc2a4f16","resolution":{"observed_at":"2026-08-07T11:57:25.987439Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:25.974689Z","title":"Xin, On W2-lifting of Frobenius of algebraic surfaces , Collect","venue":null,"work_id":"adfef283-3de8-4951-aeca-e0137191e7a4","year":2016},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.897213Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:6ab054c7822a9b260d9d287e70b4accd0b87743001997f8db1759c247367fed0","observation_id":"6d316043-5863-4c50-9d34-43f5a2c97f50","resolution":{"observed_at":"2026-08-07T11:57:25.977790Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T11:57:25.964921Z","title":"Zdanowicz, Liftability of singularities and their Frobenius morphism modulo p2, International Mathematics Research Notices 2018 (2017), 4513–4577","venue":null,"work_id":"e57ea204-f5cb-4962-a13f-79ef7c0a1342","year":2017},"citing_paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-07T11:57:25.900828Z"},"links":{"citing_paper":"/paper/2506.01345"},"observation_digest":"sha256:30b540d6fbbe56e34a178e1c730cd19c93fe27763ac9d1a25d48740314a43901","observation_id":"2b2beb4f-6aa2-41e4-863b-f64b2e04c5f3","resolution":{"observed_at":"2026-08-07T11:57:25.968302Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.01345","last_updated":"2025-06-02T06:09:09Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-07T18:20:36.756204Z","submitted_at":"2025-06-02T06:09:09Z","title":"Quasi-canonical lifting of projective varieties in positive characteristic"},"reference_resolution":{"displayed":53,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":9,"verified_exact":1,"verified_fuzzy":43},"total_outbound_references":53},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 1 inbound Pith citation observation for arXiv:2506.01345."}