{"as_of":"2026-08-14T03:06:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7e9ab5f0cd18d6f3586c5b54e3c679010f622efb64b93c0d1122f90d8b95a66f","coverage":[{"denominator":42,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":42,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T10:37:28.435840Z","state":"measured"},{"denominator":43,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":43,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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":"2026-06-25T19:17:07.369724Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-04T21:00:09.176499Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"cited_work":{"arxiv_id":"2509.03993","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.03993","snapshot_observed_at":"2026-07-04T21:00:09.176499Z","title":"Kondo and Y","venue":null,"work_id":"5791290f-2231-43c9-9dd4-0d067f6e98c8","year":2025},"citing_paper":{"arxiv_id":"2606.26070","last_updated":"2026-06-24T17:45:34Z","snapshot_observed_at":"2026-08-10T18:35:12.313418Z","submitted_at":"2026-06-24T17:45:34Z","title":"Polynomiality of the Generalized Verschiebung Degree","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-25T19:17:07.369724Z"},"links":{"cited_paper":"/paper/2509.03993","citing_paper":"/paper/2606.26070"},"observation_digest":"sha256:730de6d9d08e87a7158a64b98ec89916ecfd237c764c78fd2d6eef9f73c145f4","observation_id":"29e5c2b7-6b91-4c23-9002-d77372d6c007","resolution":{"observed_at":"2026-07-04T21:00:09.178139Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2509.03993/citation-record","integrity":"/paper/2509.03993/integrity","json":"/paper/2509.03993/citation-record.json","paper":"/paper/2509.03993"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:37:32.011213Z","title":"Berthelot, -modules arithm\\' e tiques I","venue":null,"work_id":"3e053da4-0a37-4f11-95d4-d3fc572ce8b8","year":1996},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:25.766216Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:a206154ab356eabb8e9707808cd37214abaeb429685ee72b2f91f4fc777ef99e","observation_id":"7b62a0e3-6776-455e-a6ea-66fbc595965a","resolution":{"observed_at":"2026-08-05T10:37:32.014990Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:32.001864Z","title":"Brenner, A","venue":null,"work_id":"5ab132a7-6dbb-4afb-87ca-a71ca4920942","year":2008},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:25.868198Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:bb8f8167f68a5a2a3ef9ee1ed8b6e140050b35ae9bd269bf99938842cc331bca","observation_id":"35489457-ee6b-4211-8e4f-5d5125bc0eaa","resolution":{"observed_at":"2026-08-05T10:37:32.004987Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:31.992373Z","title":"Castorena, F","venue":null,"work_id":"14a8d9f5-1e40-4bad-9b4f-e7050ffa3f2d","year":2024},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:25.984930Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:b9606babd0c8ee767d2e0ad3ffc333347437c9e788c2fa6a4a1046ceb7b4f550","observation_id":"10a8d971-655f-476e-9f5d-09ba0063654c","resolution":{"observed_at":"2026-08-05T10:37:31.995434Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:31.982790Z","title":"Deligne, D","venue":null,"work_id":"5b01306f-c908-4331-94fd-41603174e9d2","year":1969},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:26.044997Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:f32dd82eb4456277981d32c43de39431e48b36d9ef1611094c442acda6eee5a2","observation_id":"88cfe3be-d23f-45ac-ae88-a889e7f56b87","resolution":{"observed_at":"2026-08-05T10:37:31.985811Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:31.973433Z","title":null,"venue":null,"work_id":"2987d485-f232-41ea-9e2c-8b648f492cbb","year":2012},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:26.200658Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:9b8ec3552f16c8a56092a21cb10da38fc61bb60e8dd9abda1487db372d8fdcc3","observation_id":"954e1d14-b0d7-4294-ab75-59fff6f04372","resolution":{"observed_at":"2026-08-05T10:37:31.976524Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:31.963293Z","title":"Ducrohet, V","venue":null,"work_id":"6dfc84ec-4ca4-4e6b-a243-51c8f704e36f","year":2010},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:26.296189Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:9d43ebba93e2702845caca769c85d0b1fb45b5166fd7bf174c9f2a812ca35e81","observation_id":"cdbee2e9-45e8-48c4-ab28-3c22bdd598ca","resolution":{"observed_at":"2026-08-05T10:37:31.967060Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:31.952430Z","title":"Gieseker, Stable curves and the Frobenius morphism, Ann","venue":null,"work_id":"5c49d4ca-8ba0-41b3-a3df-5c1ff73995f9","year":1973},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:26.413874Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:e6148989b03a5c3c0cae1a26397ab4352fa4562826aa33ec8bbc881cddffa6ff","observation_id":"e33b723f-8e43-404a-a606-0e58cf428288","resolution":{"observed_at":"2026-08-05T10:37:31.955847Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:31.941910Z","title":null,"venue":null,"work_id":"c891fd8b-1e8d-4559-9341-9d6c9574702b","year":2010},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:26.523922Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:65ad5bc4148d6799bf9ce445696f523480ee63b99f667305d523e9df14af3511","observation_id":"140163c6-fd7c-43a9-ba11-3cc4491bf79e","resolution":{"observed_at":"2026-08-05T10:37:31.945385Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:31.931529Z","title":"Hartshorne, Algebraic geometry , Grad","venue":null,"work_id":"0b6d7db8-31fc-4c34-966f-63b3ac2549f8","year":1977},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:26.579951Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:4f060ee96f6e52624c5b842f3c9930014e9b0f87815bb3fff0f0a1fd670dc12f","observation_id":"5b9cd63f-6a84-43e9-9933-800f44995055","resolution":{"observed_at":"2026-08-05T10:37:31.934858Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:31.921466Z","title":"Heinloth, Lectures on the moduli stack of vector bundles on a curve, Trends Math","venue":null,"work_id":"9cb14f19-2c66-4c51-b038-ae789786f65c","year":2010},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:26.604428Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:f774990c7d9f5fdc1e78d32da425e81519463f486ed14917fb5dfd5ee7f5d08c","observation_id":"e8cedfaf-4a8f-4d28-beda-c7bf68cb3117","resolution":{"observed_at":"2026-08-05T10:37:31.924802Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:31.911448Z","title":"Hoshi, Y","venue":null,"work_id":"3531747d-bcfd-4a1b-8ff0-03486a1015b9","year":2024},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:26.633342Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:c6c7cb38e65b644fd919093cba0644e45b352d806733a3bcbef39fd072471543","observation_id":"b9492310-8f10-4d81-b850-dc8956d53842","resolution":{"observed_at":"2026-08-05T10:37:31.914911Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:31.901478Z","title":"Joshi, The degree of the dormant operatic locus, Int","venue":null,"work_id":"86c8fef8-b4af-4d7c-a5e6-59b7b5626960","year":2017},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:26.678697Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:9efc3c06fbafdcd982304225ea79841a5f42be3ebafaea5e5d2ef13d904790cd","observation_id":"b49f7f9e-c609-4a38-8856-5bab1768b379","resolution":{"observed_at":"2026-08-05T10:37:31.904558Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:37:26.734748Z","title":"Joshi, C","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:26.734748Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:ff60592a6317b00571cb6edd228a2c38f3ebd7f3c4c932be2d37736fe028fe15","observation_id":"bb59e603-ab71-48c1-b719-8eeb414ac33c","resolution":{"observed_at":"2026-08-05T10:37:26.734748Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:37:26.779348Z","title":"Joshi, S","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:26.779348Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:0b5283f670b15a0dc913c9d89f79ea578d8155a040bdd7f930cfb3011f1febec","observation_id":"f5d01dfb-3dbc-45d4-8910-e21540cf88a3","resolution":{"observed_at":"2026-08-05T10:37:26.779348Z","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":"2026-08-05T10:37:31.878946Z","title":"Joshi, E","venue":null,"work_id":"175258c8-f713-43e0-be1c-70e5753cc309","year":2000},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:26.810123Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:941ea32af521eebece02568b48be63e9017866aee97826165da9abcbd91cfd61","observation_id":"b0270612-ee80-4377-beb7-da2b5b810292","resolution":{"observed_at":"2026-08-05T10:37:31.882073Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:31.869777Z","title":"Lange, C","venue":null,"work_id":"de99bbc7-81d7-4674-a439-8cd291630a5d","year":2008},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:26.899801Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:bc3ff57c4f1e5f0f60f2e75bcd3d31eafda851bd1795b6ed41d3c58d0b9020b3","observation_id":"7020959d-3942-4c46-b7dc-cb3d0f4e78cb","resolution":{"observed_at":"2026-08-05T10:37:31.872871Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:31.834104Z","title":"Laszlo, A non-trivial family of bundles fixed by the square of Frobenius, C","venue":null,"work_id":"8eb29317-cb46-4aa6-bbc8-a03cc67f655a","year":2001},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:27.012524Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:c896813097058b6dec416bc99d0ddda9069e5eaf68decb658d2fe6f08cff952f","observation_id":"cc228864-c4de-4b58-a66b-439b111869af","resolution":{"observed_at":"2026-08-05T10:37:31.862320Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:31.702994Z","title":"Laszlo, C","venue":null,"work_id":"88882969-a2cd-4d23-9da3-e626d1064cc1","year":2002},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:27.095310Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:ee63db8abee1887492476a64bd9491f73271c7d28a96bf98ca16e8cc266eff6b","observation_id":"e88a3872-f398-4aa3-9957-b15fe4ab6ede","resolution":{"observed_at":"2026-08-05T10:37:31.827089Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:31.464137Z","title":"Laszlo, C","venue":null,"work_id":"b6276f14-757e-410b-8da2-8347f1add03e","year":2004},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:27.123499Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:5486a6ab4718ce05fc925a6647a287286fccbb543694fc128acc8b300979fde2","observation_id":"a5cefa63-84e9-42dc-8681-c9a14c9ecf68","resolution":{"observed_at":"2026-08-05T10:37:31.546774Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:31.188729Z","title":"Le Stum, A","venue":null,"work_id":"7522a0eb-f3e0-4b5f-a0d7-f6544653e806","year":1997},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:27.180020Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:10447b1beb389651d6b745895dd643af3c13bd76a6d73461101a19f203ce8346","observation_id":"88969ee6-6c34-45a4-8e32-537036744f91","resolution":{"observed_at":"2026-08-05T10:37:31.305225Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:30.948309Z","title":"Li, On maximally Frobenius destabilized vector bundles, Bull","venue":null,"work_id":"ddd56c89-0bf0-46ac-ae75-71c480bdfb4b","year":2019},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:27.240262Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:b3b129205527c377d08fe1c76121a0f2cb5610eedffba6a0ef6d10b28ac4e658","observation_id":"beb5cb45-8c3c-4bcf-8af2-67bd6f8ac247","resolution":{"observed_at":"2026-08-05T10:37:31.056823Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:30.671128Z","title":"Li, Frobenius stratification of moduli spaces of rank 3 vector bundles in positive characteristic 3 , I, Trans","venue":null,"work_id":"621c4b2f-66ad-41fb-a99c-7c056e8d8416","year":2019},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:27.302685Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:89e937df0136ee53739287216ff4b2d6a197c45a26cc901b10078a9d00116269","observation_id":"47954698-f04c-450f-af5f-fc4a8d54e49b","resolution":{"observed_at":"2026-08-05T10:37:30.791686Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:30.355806Z","title":"Li, Frobenius stratification of moduli spaces of rank 3 vector bundles in positive characteristic 3 , II, Math","venue":null,"work_id":"e16402a4-532a-4a84-ae14-41a5c5978f97","year":2020},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:27.359329Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:46ebdaff87eabc775f5750a078e411649b99c48d2d6118c1d3c9af6a26ad8017","observation_id":"89806858-3b74-4d90-9012-1e68f1d9e205","resolution":{"observed_at":"2026-08-05T10:37:30.480081Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:30.107070Z","title":"Li, On Frobenius stratification of moduli spaces of rank 4 vector bundles, Manuscripta Math","venue":null,"work_id":"8c20a2b6-2bc1-4b7d-b45a-8c60c47a7217","year":2024},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:27.422534Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:63a98030003bfa9ddc8be1b9a5622cf94fd46a07f210a667a260a8213142ddde","observation_id":"d55dd7b4-6b4c-4acd-9e3c-7c8d3f9609c4","resolution":{"observed_at":"2026-08-05T10:37:30.219005Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:37:27.478668Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:27.478668Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:7bcaef7039c409a64900b8c84da13aeb6b28cf4296ad50b72cc62ba4289d846c","observation_id":"a137fd40-d9f2-4755-9d40-7f4cc9ff2a83","resolution":{"observed_at":"2026-08-05T10:37:27.478668Z","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":"2026-08-05T10:37:30.001934Z","title":null,"venue":null,"work_id":"931b0bd8-c258-4644-8665-b89eb044407d","year":1995},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:27.510314Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:73b20892130aac97196549a7dee7c21346c8084b44faeef815f02b76eadf9af5","observation_id":"2b5973d9-8731-4436-b5e6-32ddf05e0cc0","resolution":{"observed_at":"2026-08-05T10:37:30.081253Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:37:27.539972Z","title":"Mochizuki, Foundations of p -adic Teichm\\\" u ller theory , AMS/IP Stud","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:27.539972Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:8c76a2a73dac5955df5ae3e1591bea106e3568a708757f0784dace490e54cea4","observation_id":"0d5db71d-ee18-4ee7-9d97-2f082ba32d39","resolution":{"observed_at":"2026-08-05T10:37:27.539972Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:37:27.597041Z","title":"Montagnon, G\\' e n\\' e ralisation de la th\\' e orie arithm\\' e tique des D-modules \\` a la g\\' e om\\' e trie logarithmique, Ph.D","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:27.597041Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:1d9c88c909a90b42a9736e591c2f219b4635ef87329b97b14dfa15489d8fc4ff","observation_id":"9552b9ff-4fde-4b7a-8e73-f5b6add66611","resolution":{"observed_at":"2026-08-05T10:37:27.597041Z","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":"2026-08-05T10:37:29.792451Z","title":"Neumann, U","venue":null,"work_id":"39484c6f-9b30-4a1e-b907-0e3a00839d97","year":2005},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:27.654982Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:15d17886e6691893782d3ca61800e87409a9d620297b439fc4e4741384919bd8","observation_id":"d408aa29-ce83-4634-9ffd-c48331ec9e26","resolution":{"observed_at":"2026-08-05T10:37:29.871963Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:29.654667Z","title":"Osserman, The generalized Verschiebung map for curves of genus 2 , Math","venue":null,"work_id":"26d7c9cc-fa14-4730-9115-996babf0d8bc","year":2006},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:27.739210Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:366cc7c16b3363cd52d6e324c1a834291f30828f0b91aa9b20831ae263570b04","observation_id":"a0c8f1a2-6fc6-46b6-ac8c-cd938e8ea8d1","resolution":{"observed_at":"2026-08-05T10:37:29.708068Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:29.480023Z","title":"Osserman, Frobenius-unstable bundles and p -curvature, Trans","venue":null,"work_id":"f52a8f0a-02e0-4eb4-bd56-2b56bce7afa2","year":2008},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:27.802198Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:ab7577a955824f4a21dd5ec47b99dc52f47e3f2267d0cd5e35c987b86532e224","observation_id":"7b6caa0f-7924-49e4-9e2f-3f991bd765c1","resolution":{"observed_at":"2026-08-05T10:37:29.559895Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:29.311786Z","title":null,"venue":null,"work_id":"efbe4708-a4ae-443c-a685-1adbb21ceec3","year":null},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:27.861506Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:caa4a036ed87723f399b1691eed0e39768c1466d761266c99ff63658e9778e91","observation_id":"0759c318-b0ba-49b3-82b7-2272f3d70113","resolution":{"observed_at":"2026-08-05T10:37:29.393611Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:29.135376Z","title":"Yang, The fixed point locus of the Verschiebung on _X (2, 0) for genus- 2 curves X in characteristic 2 , Canad","venue":null,"work_id":"c686aefa-69b6-408c-8043-b8c98ac3dd75","year":2014},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:27.888321Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:4274be01392d5dd0079bad192f1d6593fde3d0d48a44884430343c95da151459","observation_id":"e5fabc61-a3be-4650-9799-42e8c8e19cda","resolution":{"observed_at":"2026-08-05T10:37:29.223144Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:37:27.949069Z","title":"Wakabayashi, An explicit formula for the generic number of dormant indigenous bundles, Publ","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:27.949069Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:417d5c02b14d5fa19aa7b10d581761ec608a6e7c0e96c6bd260295d824591e3b","observation_id":"feb9ee37-e732-4beb-970c-6c2f575a2d6f","resolution":{"observed_at":"2026-08-05T10:37:27.949069Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:37:28.005840Z","title":"Wakabayashi, Spin networks, Ehrhart quasi-polynomials, and combinatorics of dormant indigenous bundles, Kyoto J","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:28.005840Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:5100b666be81d84cc33104d74288af77bc0d2586cc94050a5f1e11db51a6208e","observation_id":"f4f278c2-29c8-4aa4-a84a-b0825213d91f","resolution":{"observed_at":"2026-08-05T10:37:28.005840Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:37:28.039145Z","title":"Wakabayashi, A theory of dormant opers on pointed stable curves , Ast\\' e risque 432 , Soc","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:28.039145Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:619544d82cd319f3e7e07af9a257d94a123e2e94ce8445cb18f8c71702e79331","observation_id":"ea39056f-0291-44b7-8a3c-76be827ab7ef","resolution":{"observed_at":"2026-08-05T10:37:28.039145Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2201.11266","last_updated":"2022-01-27T01:42:52Z","snapshot_observed_at":"2026-08-13T16:52:37.285353Z","submitted_at":"2022-01-27T01:42:52Z","title":"Differential modules and dormant opers of higher level","version":1},"cited_work":{"arxiv_id":"2201.11266","doi":null,"metadata_source":"pith","pith_arxiv_id":"2201.11266","snapshot_observed_at":"2026-08-05T10:37:28.526992Z","title":"Differential modules and dormant opers of higher level","venue":"math.AG","work_id":"bb8ffa2f-d601-4610-b87a-31b2917a4afe","year":2022},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:28.096306Z"},"links":{"cited_paper":"/paper/2201.11266","citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:c54a7499df81fdd4fded97e06ffb166071359b0ac6adfcde4225d1a97b1f1de4","observation_id":"ecb7e48e-5824-4c5b-a476-0185af7eb796","resolution":{"observed_at":"2026-08-05T10:37:28.574517Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:28.986350Z","title":"Wakabayashi, A combinatorial description of the dormant Miura transformation, Bull","venue":null,"work_id":"4876c60d-c42c-4a47-a313-f44d9f031027","year":2023},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:28.152198Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:4f37e67360ac161e81c8293935a0fdf2f71db596ff16a39b7640578ff9bd1d84","observation_id":"01aba95c-f9c2-4d9d-bffb-06ef29542b01","resolution":{"observed_at":"2026-08-05T10:37:29.031350Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:37:28.213400Z","title":"Wakabayashi, Frobenius pull-back of parabolic bundles and dormant opers, Proc","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:28.213400Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:39cc93d7da759b7b983e5a274aef51c11e0048d824284311d19fa4db3bdcc288","observation_id":"f00435a0-473c-4f6d-b00e-bc315785c2a1","resolution":{"observed_at":"2026-08-05T10:37:28.213400Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2209.08528","last_updated":"2025-09-05T07:31:08Z","snapshot_observed_at":"2026-08-13T14:24:27.640587Z","submitted_at":"2022-09-18T10:29:06Z","title":"Arithmetic liftings and 2d TQFT for dormant opers of higher level","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.08528","snapshot_observed_at":"2026-08-05T10:37:28.298901Z","title":"Wakabayashi, Arithmetic liftings and 2d TQFT for dormant opers of higher level, arXiv: math","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:28.298901Z"},"links":{"cited_paper":"/paper/2209.08528","citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:9516d098bd8522eb815cc4458c25d1206d470223d894f9bc32d1f848a8ebe66a","observation_id":"c8f0ac3b-8a7c-40f4-80b4-61247d935c92","resolution":{"observed_at":"2026-08-05T10:37:28.298901Z","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":"2026-08-05T10:37:28.817446Z","title":"Wakabayashi, The irreducibility of the moduli space of pointed stable curves with dormant PGL _2^ ( ) -oper, in preparation","venue":null,"work_id":"fbf26321-f0af-4cd1-9edd-8bce553cf599","year":null},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:28.381822Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:b2b8ad07f85545e5f0153d1742053450e3c4ccdc7df7aa3b7d282a8ea830b6df","observation_id":"b6a7b5fb-93be-4cd0-b709-28a657fed886","resolution":{"observed_at":"2026-08-05T10:37:28.888012Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-05T10:37:28.668221Z","title":"Zhao, Maximally Frobenius-destabilized vector bundles over smooth algebraic curves, Internat","venue":null,"work_id":"272f6c0d-ad9f-4c21-8e3b-0802329747d6","year":2017},"citing_paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-05T10:37:28.435840Z"},"links":{"citing_paper":"/paper/2509.03993"},"observation_digest":"sha256:ec329b097161d8870cae8b253883e313e0e7da9217bfbedcd5589d3051ed6401","observation_id":"64f9371a-eb50-4693-b8e3-0088615354f7","resolution":{"observed_at":"2026-08-05T10:37:28.750136Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2509.03993","last_updated":"2025-09-04T08:23:19Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-09T13:30:53.345266Z","submitted_at":"2025-09-04T08:23:19Z","title":"Explicit computation of the generic degree of the generalized Verschiebung in rank two"},"reference_resolution":{"displayed":42,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":14,"verified_exact":1,"verified_fuzzy":27},"total_outbound_references":42},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2509.03993."}