{"as_of":"2026-08-18T18:46:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:335b12aaa3c9a50b01d003884a80403633c324f23b164604081d33d98009eab3","coverage":[{"denominator":28,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":28,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T23:23:48.619689Z","state":"measured"},{"denominator":28,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":28,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2501.18541/citation-record","integrity":"/paper/2501.18541/integrity","json":"/paper/2501.18541/citation-record.json","paper":"/paper/2501.18541"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:23:49.854384Z","title":"On the Kawamata-Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic","venue":null,"work_id":"1e35fd88-a7e3-4208-a68e-811a3f92b873","year":2022},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.099295Z"},"links":{"citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:a252d6095f516e7c8782605c5e506600b0fe511053108a1d25793ec0381d4f57","observation_id":"557d5e6d-df17-4c31-b45d-d13061170d63","resolution":{"observed_at":"2026-08-09T23:23:49.859660Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:23:49.284934Z","title":"On a stratification of the moduli ofK3 surfaces","venue":null,"work_id":"8f20838b-6de0-409d-9d8f-f7eaf3b43614","year":2000},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.154182Z"},"links":{"citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:0a21d67e72f5b227685e6b790ff345893c82bbb82df8b2058bb2d62093468fdc","observation_id":"c50a3994-4fa0-45db-89a6-6566cad98d12","resolution":{"observed_at":"2026-08-09T23:23:49.289625Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:23:49.127326Z","title":"Reduction and lifting of finite covers of curves","venue":null,"work_id":"c45d55f8-6954-4807-8c77-51090713f04e","year":1992},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.577856Z"},"links":{"citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:7690607b6ad25bd7561bd50e905e9181478f9700c45f3c1134d88406f88e5bd7","observation_id":"2aebf229-e1cb-4d27-b4e5-17fed3edae94","resolution":{"observed_at":"2026-08-09T23:23:49.154395Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.19742","last_updated":"2024-09-29T15:39:51Z","snapshot_observed_at":"2026-08-16T13:14:22.084563Z","submitted_at":"2024-09-29T15:39:51Z","title":"Pointwise criteria of p-adic local systems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.19742","snapshot_observed_at":"2026-08-09T23:23:48.163687Z","title":"Arithmetic of Borcherds products","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.163687Z"},"links":{"cited_paper":"/paper/2409.19742","citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:d80637bbbc7fa2b600d358065d93e2b026d0965ed3a6356177656bf9c2995876","observation_id":"ddb9635d-9458-47d9-876e-a9733c919eea","resolution":{"observed_at":"2026-08-09T23:23:48.163687Z","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":"2026-08-09T23:23:49.300333Z","title":"Eisenbud and J","venue":null,"work_id":"9c22fc40-3857-46b0-9e10-d0bf004d40ff","year":2016},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.144241Z"},"links":{"citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:fa5bab56e2ad26e143d8c2d9d15cf0ba091274aa7b9fe07b4c9ade5c334dd75f","observation_id":"399f2aa7-d6af-446f-a481-874c124a098d","resolution":{"observed_at":"2026-08-09T23:23:49.304963Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:23:49.348250Z","title":"Integralp-adic Hodge theory","venue":null,"work_id":"49481dd2-a796-48e4-8a4a-057aa62a1797","year":2018},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.128332Z"},"links":{"citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:cc41bc85eded1b70d34d49fda091f0a7786d4c668dce26859446aa8e2dd2bd33","observation_id":"a2ee42cc-fedb-4cfc-89de-11bfeb117d97","resolution":{"observed_at":"2026-08-09T23:23:49.353396Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:23:48.948388Z","title":"Monodromy of variations of Hodge structure","venue":null,"work_id":"9c92b497-36fd-4351-bf52-a796509f5349","year":1994},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.593079Z"},"links":{"citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:1083d4532fa322868b09d0ef8be7e126dad78e557ab76e42ff5d85eb945ccf5b","observation_id":"600508dc-8fa4-48b1-9ad0-babdc285b643","resolution":{"observed_at":"2026-08-09T23:23:48.954400Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:23:48.853263Z","title":"Purity results forp-divisible groups and abelian schemes over regular bases of mixed characteristic","venue":null,"work_id":"790e7e23-4918-4b85-b877-a6eb694b6ff3","year":2010},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.619689Z"},"links":{"citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:4cca1d286b2fd758837a9d4e2bc5f47281bf587399296e3dbac552a738eb970f","observation_id":"4b4be62b-78ee-4f89-9584-3f2b5498dbc2","resolution":{"observed_at":"2026-08-09T23:23:48.858690Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:23:48.871199Z","title":"Surfaces ofK3 type over number fields and the Mumford-Tate conjecture","venue":null,"work_id":"f200b67d-785c-403c-b422-84000381c8d9","year":1990},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.614168Z"},"links":{"citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:88350a9eee416e1b54e85a90bdbe081a7ead6625a67a8b88911458bc6bcc6dd0","observation_id":"e67076d3-b0f4-4c08-a5dd-ad1f296a9c81","resolution":{"observed_at":"2026-08-09T23:23:48.876830Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:23:49.364109Z","title":null,"venue":null,"work_id":"8d322121-a40c-4fea-8e10-a1e050a67055","year":1994},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.122819Z"},"links":{"citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:25a089b92aee92d8068d00ae29448edb38202e9550553f7d08fb06bc2180783b","observation_id":"9b4ac8f7-9ca6-4549-a20d-da0798d9b35b","resolution":{"observed_at":"2026-08-09T23:23:49.368628Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:23:48.970231Z","title":"Hom -stacks and restriction of scalars","venue":null,"work_id":"665bf807-784b-4e6c-b50f-920c31991043","year":2006},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.587816Z"},"links":{"citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:05495a41a8cb5c39c9915fe02e4be908a40dd653400e19c4e87fd353f13c05a2","observation_id":"d34677ba-4d1b-4c7d-a095-189d73acb523","resolution":{"observed_at":"2026-08-09T23:23:48.995252Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:23:49.252638Z","title":"Complexe de de Rham-Witt et cohomologie cristalline","venue":null,"work_id":"72fff768-4d27-4dad-80a6-a2a804422bff","year":1979},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.204002Z"},"links":{"citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:a567d1dc830860008450704d48d2be493155235a06087a8a296d4515819a9ae0","observation_id":"48f58577-e0ed-4b40-ae72-a84ee2ce6f5f","resolution":{"observed_at":"2026-08-09T23:23:49.257946Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:23:48.927720Z","title":"The effect of height on degenerations of algebraicK3 surfaces","venue":null,"work_id":"64127db7-5daf-47af-a40b-ee742b6f1a03","year":1982},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.598121Z"},"links":{"citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:fe3e9f973513ba68e27ce026c6c4919b2f3ac481e8f5839314d4d80e9cfaa854","observation_id":"0abe299e-0c39-4e98-a574-740e13d2bda0","resolution":{"observed_at":"2026-08-09T23:23:48.933787Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:23:49.331990Z","title":"The moduli and the global period mapping of surfaces withK 2 =p g =1: a counterexample to the global Torelli problem","venue":null,"work_id":"ef05ccd0-cb92-4b3d-9b9b-f7fec7bb57b6","year":1980},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.133902Z"},"links":{"citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:27206c238d500ab7294b42e7b306246696cf8853d765b9d04b767f28aa0ff849","observation_id":"c798eafd-2827-47f7-96ea-5d305a1263d3","resolution":{"observed_at":"2026-08-09T23:23:49.337127Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:23:48.889362Z","title":"Weyl group covers for Brieskorn’s resolutions in all characteristics and the integral cohomology ofG/P","venue":null,"work_id":"2d0c9ced-2cdf-44e1-a033-cfd307b9f089","year":2021},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.608940Z"},"links":{"citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:53e341e66104d76ffac3edff905aec2ba042e93972e6ca13f20797ee9e6af5d4","observation_id":"64bf3d01-7d82-4bba-b4f5-41891858f9af","resolution":{"observed_at":"2026-08-09T23:23:48.894697Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:23:49.222030Z","title":"With the collaboration of C","venue":null,"work_id":"8e93a06c-3560-4cb9-acf4-26f72a392a0d","year":1998},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":134,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.355511Z"},"links":{"citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:c71ed2481ea82a7a77372a21e2f82b9e57445fc19124b3ed02ba0fada6601efc","observation_id":"e38d3d99-45ce-444d-b1e9-4daff4306719","resolution":{"observed_at":"2026-08-09T23:23:49.227069Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:23:48.910491Z","title":"p-adic Hodge theory for rigid-analytic varieties","venue":null,"work_id":"27a9cf26-d38d-4da7-a510-7bae1e5a8052","year":2013},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":192,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.603646Z"},"links":{"citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:a640e821e99a07122384dc04cdc86fc511e690d0ef3f1dc8ee93aaa5b32a5421","observation_id":"e7041ad6-9df5-4b7f-a979-545a15f397dc","resolution":{"observed_at":"2026-08-09T23:23:48.915256Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:23:49.269189Z","title":"Springer-Verlag, Berlin-New York, 1971, pp","venue":null,"work_id":"4caafe2d-c6b0-4ec5-9d54-66fd364438b4","year":1960},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":224,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.159283Z"},"links":{"citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:f3929c5d8a4ee11da93a9d2b13ea4df6c3a3cf6a028ff8768e40e0fc7c1697d6","observation_id":"f93189e2-dbf8-4c66-9b97-52bc06d3edc8","resolution":{"observed_at":"2026-08-09T23:23:49.273703Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:23:49.587205Z","title":"Algebraic construction of Brieskorn’s resolutions","venue":null,"work_id":"e2b75039-9a13-41e1-9464-a63961783acf","year":1974},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":282,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.110902Z"},"links":{"citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:e21e5a00dbbf7baf59b9e000f72f0833c60cdaeef8cc89712c9de88e341d8d92","observation_id":"6ada48b5-e750-4969-8278-0c750d6058c5","resolution":{"observed_at":"2026-08-09T23:23:49.632285Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:23:49.237466Z","title":"Notes on isocrystals","venue":null,"work_id":"e43856b7-4539-4672-a453-4468be647b0f","year":2022},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":423,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.316942Z"},"links":{"citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:3ff81d355f73296d12cfe87575440ae0a3e9947e6370d4cc87f491657df48f67","observation_id":"c13675df-647c-4bef-b134-af262afb311c","resolution":{"observed_at":"2026-08-09T23:23:49.242208Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:23:49.199070Z","title":"Liu.sections of the cotangent bundle of elliptic surfaces","venue":null,"work_id":"12e4891d-9e1d-4ce2-a32a-d58caa74a4d3","year":2013},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":741,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.537212Z"},"links":{"citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:abba5070a54b26d9cff85208e778b735918fc8f8f5e063e729a5c77c984a6a89","observation_id":"4db595dd-e780-469b-bd4e-451346cbdbc2","resolution":{"observed_at":"2026-08-09T23:23:49.210112Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:23:49.714819Z","title":"On the Shafarevich and Tate conjectures for hyper-Kähler varieties","venue":null,"work_id":"14bdb560-3c4d-4068-838e-1c3a629f8537","year":1996},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":1971,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.105465Z"},"links":{"citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:c5398947c925f1cdf1d4ca532d7837ddfae964b195bd361d85220abd727a8a9e","observation_id":"3dd2d21e-7380-40dc-b6f7-c8616e5556ee","resolution":{"observed_at":"2026-08-09T23:23:49.762061Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:23:49.316671Z","title":"La conjecture de Weil pour les surfacesK3","venue":null,"work_id":"b6196806-445d-4934-bb95-82c12d0fc24f","year":1972},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":2005,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.139228Z"},"links":{"citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:2cd400244a82d3bfcd0487505060be62dd68b8e9bb99ab7480ea1d3b23e29158","observation_id":"0b0706ae-4ec5-4565-9220-3a75cc3f166b","resolution":{"observed_at":"2026-08-09T23:23:49.321932Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:23:49.045274Z","title":"On a conjecture of Artin and Tate","venue":null,"work_id":"f4060440-b304-46f9-88ff-c04e3f7511b7","year":1975},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":2013,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.582926Z"},"links":{"citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:49c1ae34e9fd10b8e85cbcf2abc03b8eada41ec46e84e9323888116ce2608a2f","observation_id":"df2d99d6-ab3a-4efd-9d3a-4554ac32c6ba","resolution":{"observed_at":"2026-08-09T23:23:49.076506Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2203.10391","last_updated":"2026-04-10T15:37:56Z","snapshot_observed_at":"2026-08-15T10:45:47.023243Z","submitted_at":"2022-03-19T20:51:32Z","title":"Unpolarized Shafarevich conjectures for hyper-K\\\"ahler varieties","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.10391","snapshot_observed_at":"2026-08-09T23:23:48.149048Z","title":"To appear inAlgebr","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":2022,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.149048Z"},"links":{"cited_paper":"/paper/2203.10391","citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:307575df13227dfd4ee9e5e1dfebe3c1bfae79cf5853b50585ca05589b8619f5","observation_id":"a1582943-554b-4bc9-ba8f-b07d8d4791ed","resolution":{"observed_at":"2026-08-09T23:23:48.149048Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.09175","last_updated":"2023-12-14T17:43:56Z","snapshot_observed_at":"2026-08-16T14:34:40.517961Z","submitted_at":"2023-12-14T17:43:56Z","title":"On simple singularities and Weyl monodromy actions in mixed characteristic","version":1},"cited_work":{"arxiv_id":"2312.09175","doi":null,"metadata_source":"pith","pith_arxiv_id":"2312.09175","snapshot_observed_at":"2026-08-09T23:23:48.659820Z","title":"On simple singularities and Weyl monodromy actions in mixed characteristic","venue":"math.AG","work_id":"81b098f2-43a0-41a6-adc4-33f9bf79e2b4","year":2023},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.473168Z"},"links":{"cited_paper":"/paper/2312.09175","citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:ce53f67ad8e2833be23611cc1480ddd3afa505d1187ef2569f515c3caa40504d","observation_id":"63510a76-f759-41d0-a11c-ec3127dd2554","resolution":{"observed_at":"2026-08-09T23:23:48.667653Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:23:49.436146Z","title":"Algebraization and Tannaka duality","venue":null,"work_id":"76e2fe3b-86c6-40f6-8b41-990792d7d081","year":2016},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.117030Z"},"links":{"citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:b0cfe9ce305d394c1f7cb74e6e07dd2da260ab760896e2e0e5fe8f64c0763e69","observation_id":"c64e16fb-9f19-43b6-9f19-20c1df7e5319","resolution":{"observed_at":"2026-08-09T23:23:49.529188Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2207.11904","last_updated":"2025-05-30T13:28:29Z","snapshot_observed_at":"2026-08-17T11:48:13.166099Z","submitted_at":"2022-07-25T04:50:26Z","title":"On the Tate conjecture for divisors on varieties with $h^{2,0} = 1$ in positive characteristics","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2207.11904","snapshot_observed_at":"2026-08-09T23:23:48.169331Z","title":"CM liftings ofK3 surfaces over finite fields and their applications to the Tate conjecture","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities","version":2},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-09T23:23:48.169331Z"},"links":{"cited_paper":"/paper/2207.11904","citing_paper":"/paper/2501.18541"},"observation_digest":"sha256:ec58869f098b62e48dbb9f71e3dfa36d7994c238d13c309c8bd232137facaafe","observation_id":"446942d6-f8d5-4e98-94d7-66a5b00c5c50","resolution":{"observed_at":"2026-08-09T23:23:48.169331Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2501.18541","last_updated":"2025-06-11T15:10:42Z","latest_version":2,"primary_category":"math.AG","snapshot_observed_at":"2026-08-12T16:13:51.520943Z","submitted_at":"2025-01-30T18:08:44Z","title":"The Tate conjecture for surfaces of geometric genus one -- embracing singularities"},"reference_resolution":{"displayed":28,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":1,"verified_fuzzy":23},"total_outbound_references":28},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2501.18541."}