{"as_of":"2026-08-15T06:38:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0261db0732acae511b1e49222dfe87268dd219b992b835cc46b8606df1b473a9","coverage":[{"denominator":40,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":40,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T14:13:14.285788Z","state":"measured"},{"denominator":40,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":40,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+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/2501.15746/citation-record","integrity":"/paper/2501.15746/integrity","json":"/paper/2501.15746/citation-record.json","paper":"/paper/2501.15746"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T14:13:14.778971Z","title":"On the modular equation for Drinfeld modules of rank 2","venue":null,"work_id":"b37c4308-c707-453e-b56b-a249ff7296a7","year":1992},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.133309Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:0be8bbffa99c76d4d66b097eb6ee42f88d9ebf1486ad20d638a31afca090d915","observation_id":"9cba1a4a-3e6e-4a93-9a5f-763a681e775e","resolution":{"observed_at":"2026-08-10T14:13:14.783092Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.768086Z","title":"On the coeﬃcients of the Drinfeld modular equ ation","venue":null,"work_id":"eae76404-cca8-4f2a-a4e9-4cebfae6a732","year":1997},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.137652Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:aebefba64b37a2774f368809f0031817cd7ad93636202fdf6945f8452f5a343e","observation_id":"d11b1653-906f-4f05-be47-fe3570cac94c","resolution":{"observed_at":"2026-08-10T14:13:14.771931Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.756953Z","title":"Drinfeld modules and elliptic sheaves","venue":null,"work_id":"487975b3-840b-48fc-adac-6e55baa03197","year":1995},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.141341Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:a9a39fc7c1d9b2a48e20a6b2165a3732e2a897793d2aa58a20199ee46b75ae69","observation_id":"3a60a733-1ccc-4a43-ab19-fece5fe61e72","resolution":{"observed_at":"2026-08-10T14:13:14.760465Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.745962Z","title":"Intersection theory on quotients of algebraic va rieties","venue":null,"work_id":"182e48b2-d2b0-4309-aaf4-fce87637665e","year":1962},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.145333Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:d34ea33d4cf71535a38f580922761a8e76499086c3ef4431465439834ebcf941","observation_id":"72242442-14d0-4419-be67-5a2bbe35c0a8","resolution":{"observed_at":"2026-08-10T14:13:14.749711Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.734436Z","title":"Les classes d’´ equivalence rationnelle, I","venue":null,"work_id":"2e4886ec-8920-4185-a7f8-aa38f0b8629c","year":1958},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.149563Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:eb0d73e0c1fcc686ccae8093e83630d522b2ded26e5b1499fb07a5e5ea477f2c","observation_id":"9b1950ee-37bc-487d-af72-115d2d765af9","resolution":{"observed_at":"2026-08-10T14:13:14.737668Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.724817Z","title":"Brandt matrices and theta series over glob al function ﬁelds","venue":null,"work_id":"9e447478-769e-42b5-b1df-86813c22c858","year":2015},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.153433Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:1c9b7ad764896f6887f1716429cc178d363a7e8f33a6572223c0dd5cbe5f7cbe","observation_id":"ad253e80-7230-41a1-9b8f-d7e48ab86800","resolution":{"observed_at":"2026-08-10T14:13:14.727883Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.714207Z","title":"Arithmetic cycles on Picard modular surfaces and m odular forms of nebentypus","venue":null,"work_id":"c066bd0a-725b-4316-bc78-6697c0af58c6","year":1985},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.157515Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:1d35d92e387f8ead9395362d12b4b380b7b339175f4b38ef71aaef003830540b","observation_id":"1c1cc38e-7b43-405b-a222-665bd17706be","resolution":{"observed_at":"2026-08-10T14:13:14.717778Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.703893Z","title":"Survey of Drinfeld modules","venue":null,"work_id":"822b1946-ed9c-463c-9654-569260bad8ed","year":1987},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.161302Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:b94dec57e05beefa002d116e5c8d6ed4b830ddfc9ee2f08291fab7f151d665bf","observation_id":"212cd5cb-e33f-4cc3-8172-c65178635714","resolution":{"observed_at":"2026-08-10T14:13:14.707595Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.693269Z","title":"The Irreducibility of the Space of Curves o f Given Genus","venue":null,"work_id":"2ace3c06-8757-4142-8a15-29f3e98afc74","year":1969},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.164822Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:ef4d8cd3608e76b7d49db6fadc7263ee6770969829d5e685f1cee116e5224f3e","observation_id":"43ce1608-2905-4b08-9b61-c4c19f66372a","resolution":{"observed_at":"2026-08-10T14:13:14.697212Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.683067Z","title":"Elliptic modules","venue":null,"work_id":"ffa0a8f1-64af-4746-a90f-f3653c0aa26e","year":1974},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.168458Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:beb850dd164b0c16e6dd26648826a3f42823980e5fe3043dc2c1155e8d800533","observation_id":"81bd9703-000f-463e-a9aa-106e0d162ef1","resolution":{"observed_at":"2026-08-10T14:13:14.686631Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2103.11514","last_updated":"2023-11-29T06:22:19Z","snapshot_observed_at":"2026-08-13T00:46:33.224479Z","submitted_at":"2021-03-21T23:21:51Z","title":"Higher Siegel--Weil formula for unitary groups: the non-singular terms","version":4},"cited_work":{"arxiv_id":"2103.11514","doi":null,"metadata_source":"pith","pith_arxiv_id":"2103.11514","snapshot_observed_at":"2026-08-10T14:13:14.338043Z","title":"Higher Siegel--Weil formula for unitary groups: the non-singular terms","venue":"math.NT","work_id":"1eb5b0ba-a84d-4123-95a3-9375c6ee9340","year":2021},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.172239Z"},"links":{"cited_paper":"/paper/2103.11514","citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:3d318fa707d647df45ddc65b45799c38a2428dcf7d43d4ae1f7e32e4af5d0d39","observation_id":"4259f2a8-f943-4231-8af4-8a2b6e803cc1","resolution":{"observed_at":"2026-08-10T14:13:14.342903Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2110.07001","last_updated":"2024-01-02T20:22:41Z","snapshot_observed_at":"2026-08-13T17:53:37.914885Z","submitted_at":"2021-10-13T19:28:30Z","title":"Higher theta series for unitary groups over function fields","version":3},"cited_work":{"arxiv_id":"2110.07001","doi":null,"metadata_source":"pith","pith_arxiv_id":"2110.07001","snapshot_observed_at":"2026-08-10T14:13:14.318977Z","title":"Higher theta series for unitary groups over function fields","venue":"math.NT","work_id":"7d7aeace-afa2-482b-b8d5-eb781e7d807f","year":2021},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.176618Z"},"links":{"cited_paper":"/paper/2110.07001","citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:4eff187536862a1812b49c996016eee1755e994fb3f3461a636c9bc243efdf32","observation_id":"2f11175d-e247-4c5f-bd2b-46abb07f0907","resolution":{"observed_at":"2026-08-10T14:13:14.325279Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.672321Z","title":"Intersection Theory, Second edition","venue":null,"work_id":"10cc8cc9-f756-43f8-af6a-7f2fe1502bd8","year":1998},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.181151Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:ced88e5b257913dc7677945f85376092a62f0f34988bcd9b912a19af8a766a6d","observation_id":"5e8e3bd7-a2a2-44b7-a095-18e889d61bb7","resolution":{"observed_at":"2026-08-10T14:13:14.676126Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.661314Z","title":"Heegner divisors and nonholomorphic modular forms","venue":null,"work_id":"d80894b7-bed8-4bea-923a-afa336c7f671","year":2002},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.184654Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:cd8284b740b816f4f24332d2934164aef4b0815b99155d7adb310040512af210","observation_id":"2dedab08-673e-455f-ac84-11bf53757e99","resolution":{"observed_at":"2026-08-10T14:13:14.665052Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.650227Z","title":"Algebraic Geometry","venue":null,"work_id":"358e548c-2fde-4940-a9aa-a26426cc0bb0","year":2010},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.188173Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:eca7538ea608fc9f2fe03ad3a5b567333c642f20892d7f2ebf44d1cc91fdbd7d","observation_id":"1b8fe8f4-7398-49a0-86ff-6b15c6c3fcf0","resolution":{"observed_at":"2026-08-10T14:13:14.654097Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.639566Z","title":"On class number relations and intersec tions over function ﬁelds","venue":null,"work_id":"881085df-ae15-4e36-963c-4eef88917052","year":2022},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.191844Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:fc4be34b05d6b602e0b13079dcbdb96751f64a5d514b6f9da3057ba61d1c35f7","observation_id":"36edcdd5-de1a-4d51-9473-1b7736e80c36","resolution":{"observed_at":"2026-08-10T14:13:14.643371Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.628648Z","title":"On CM masses over global function ﬁeld s","venue":null,"work_id":"a7078c41-2817-40d0-a44c-00e18a07dfba","year":2023},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.195530Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:3a3e1ad5b4b073657478f7f0b07a2e6f5b4e38232e7c6f66e66ab55350dc07d0","observation_id":"e771636e-2a12-4df1-9425-4bd88fbc8722","resolution":{"observed_at":"2026-08-10T14:13:14.632347Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.617500Z","title":"Algebraic Geometry","venue":null,"work_id":"b434e058-fa0e-422d-baf6-5196cb1c5b0d","year":1977},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.199093Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:bc6c66a08cfc560ae7b05f36f49a2b41e71503ccc4c2c2e4bc96ec333ba4e4d7","observation_id":"5cf7a065-db9f-4214-8db0-df85f9adf567","resolution":{"observed_at":"2026-08-10T14:13:14.621102Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.605487Z","title":"Intersection numbers of curve s on Hilbert mod- ular surfaces and modular forms of nebentypus","venue":null,"work_id":"171ac462-d8ff-4e7a-987d-dbf393cedcb4","year":1976},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.202969Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:c7c94c91e8143be3a9386b4e5cf0df508d1388e417f9de63313926abf0f5ba9e","observation_id":"6b711eb1-5f0f-4969-a463-ec0f381e7581","resolution":{"observed_at":"2026-08-10T14:13:14.609646Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.594643Z","title":"On the coeﬃcients of modular polynomials for Drinfeld modules","venue":null,"work_id":"08182960-e2f3-477c-bc24-084aafd3da17","year":1998},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.206579Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:d0c1d658b5b3a8c06256cdfb5f95fd1388abf0d58ee6d1e940608840152c4c67","observation_id":"1f332e4e-5a52-4e89-93b6-9b7811ebe8ee","resolution":{"observed_at":"2026-08-10T14:13:14.598333Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.583642Z","title":"¨Uber Relationen zwischen Klassenzahlen bin¨ arer quadratischer Formen von negativer Determinante","venue":null,"work_id":"4b955182-8855-4168-9466-c090e735ef49","year":null},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.211239Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:a42f04cd51667d79ab137b9bf4668ff0c64c898204c96c3139ef5cf26e380ac3","observation_id":"ee019b87-fc06-47d2-9e27-1df07f7675db","resolution":{"observed_at":"2026-08-10T14:13:14.588225Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.573032Z","title":"¨Uber die Anzahl der verschiedenen Klassen quadratischer For- men von negativer Determinante","venue":null,"work_id":"7c1025e2-e445-4902-9df0-109abc75b82f","year":null},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.217081Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:f405487f0c93301456739169f876996863fc4021262c42367b834e8a79c81bc2","observation_id":"c212f377-cd59-4f00-9571-2286a7b306fa","resolution":{"observed_at":"2026-08-10T14:13:14.576273Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.561405Z","title":"Intersection numbers of cycles on locally sym- metric spaces and Fourier coeﬃcients of holomorphic modular forms in several complex variables","venue":null,"work_id":"4e74ad4a-d457-465b-a371-fee2ae8506e0","year":1990},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.220438Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:7220ca246811e9dd0e4bba74ba75f01905cf3a0c58af17e05ca81acd83fc14dd","observation_id":"509e2a4a-cb9e-4834-b0e4-4a29a3f48fab","resolution":{"observed_at":"2026-08-10T14:13:14.565667Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.548617Z","title":"The theta correspondence and ha rmonic forms. I","venue":null,"work_id":"67277170-9845-4977-b6e3-4f035904304d","year":1986},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.224778Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:025ef67726703938799362d899882fdf63fa66c7b1172ee7af6a74c132781a2d","observation_id":"dfa99dde-51f1-4b50-a53c-a9456875130f","resolution":{"observed_at":"2026-08-10T14:13:14.553086Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.535588Z","title":"The theta correspondence and ha rmonic forms. II","venue":null,"work_id":"27468374-7779-47f9-a668-6822139f9ae2","year":1987},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.227948Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:a5c7a4f26ad3261f36eeec7900d3b236f8e33fa796f6c4dad58fb5a02e972625","observation_id":"9c3f591b-a9fd-4c77-9d44-6723cc907c55","resolution":{"observed_at":"2026-08-10T14:13:14.539573Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.524023Z","title":"Algebraic cycles on Shimura varieties of orthogona l type","venue":null,"work_id":"518daccf-7466-4251-a5f8-b5706827547f","year":1997},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.231434Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:5318de1722473fa5dfb4d76424ed1da1947e739e2a7ef09bccc6ebe410179dde","observation_id":"0d7c6e3b-02e0-4c74-9915-24ca46f5e867","resolution":{"observed_at":"2026-08-10T14:13:14.527719Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.512186Z","title":"Intersection numbers for quotients of the comp lex 2-ball and Hilbert modular forms","venue":null,"work_id":"38772a38-329c-47aa-a780-c1c6f0fbed29","year":1978},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.234456Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:c5e8991ffe0a39decf09184b9c3a625a047d5c3d90321266fad891f6908269e5","observation_id":"722708f7-571c-4659-8ecb-d4803974344e","resolution":{"observed_at":"2026-08-10T14:13:14.516218Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.500423Z","title":"Construction of p-adic unit balls and the Hirtzbru ch propor- tionality","venue":null,"work_id":"510d0f6b-3ab3-4e88-b5ea-5494f2d1a086","year":1980},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.237618Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:55556a37d40f010dc6de693a411daea46d486e09189d985ff54991b3176c987e","observation_id":"eaabdce5-ecbd-416b-876b-7796aececafb","resolution":{"observed_at":"2026-08-10T14:13:14.505191Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.489479Z","title":"D-elliptic sheaves and the Langlands correspondence","venue":null,"work_id":"b52510a0-2a19-43f8-bfc5-b8b6588f8fcc","year":1993},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.240811Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:cafcd9fa4eba597eb1359cc8ea5e5bfa889de147a578a6732f99823aaf5d6724","observation_id":"27d84912-2569-473b-b7d7-8f8b1f71e128","resolution":{"observed_at":"2026-08-10T14:13:14.493215Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.477677Z","title":"Drinfeld–Stuhler modules","venue":null,"work_id":"2db968f8-3664-4cd1-92b9-0a054b141a2f","year":2018},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.243913Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:78f493a177a9cdfa06dbf129f5a72cef333bf28af567852af82979534493fb6d","observation_id":"b361075a-484d-4339-a3d3-389ed4f70a08","resolution":{"observed_at":"2026-08-10T14:13:14.481832Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.466304Z","title":"Modular varieties of D-elliptic sheaves and the Weil–Deligne bound","venue":null,"work_id":"a5d43229-b4c0-4b35-a409-78951f615dc3","year":2009},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.247361Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:09aac720d0a33e4f262fac61ee3dd1235cb0b82a32bd195fa08b45ac32f8335d","observation_id":"e7546ec7-34ad-4de7-8a20-0be6236fd75d","resolution":{"observed_at":"2026-08-10T14:13:14.470136Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.456024Z","title":"Computation of the metaplec tic kernel","venue":null,"work_id":"64b5bbce-93fa-427d-80ea-f1d3c662c0d4","year":1996},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.251553Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:5675b5787ed8f50ddfb9f67bccf414b01303c9f8c6e55dfc7178e19c69bafb84","observation_id":"260b24bc-0b4b-4f80-81c1-2d72b8e7e8b6","resolution":{"observed_at":"2026-08-10T14:13:14.459357Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.446455Z","title":"The cohomology of p-adic symmetric sp aces","venue":null,"work_id":"70a5e3a4-77df-4d41-9f5a-2fa8c2fb5ef3","year":1991},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.255861Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:e1ad0644fcde48ee9fbb3cb844f357fda3ee5b5a405761c729283615d8c4069c","observation_id":"5852b897-9e6b-4516-a613-418f96e11886","resolution":{"observed_at":"2026-08-10T14:13:14.449686Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.435520Z","title":"Groupes alg´ ebriques et corps de classes","venue":null,"work_id":"1d7f3fce-eea4-4050-bb5a-4f21dc0548f8","year":1959},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.259726Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:aeee02ea3e2987fc48c11b17f8f0750b4df90c53337ee01ebb64681d06b9f159","observation_id":"5f1ff087-169c-4e9e-a9fa-0ef66aa6b4da","resolution":{"observed_at":"2026-08-10T14:13:14.439522Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.421588Z","title":"Embeddings of ﬁelds into sim ple algebras over global ﬁelds","venue":null,"work_id":"64449ef7-26fa-4d06-ba2f-fedc85b5acd8","year":2014},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.263810Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:2117e32b85d90bdb4dc6b87187ff5193d0dce7c64de738a378435bdc386785db","observation_id":"95797070-9c7f-4f4e-adea-68e43a0f2f8c","resolution":{"observed_at":"2026-08-10T14:13:14.426614Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.407661Z","title":"Uniformization of generalized D-elliptic sheaves, PhD thesis","venue":null,"work_id":"3d3fb666-7a48-49b5-8978-2fad8777ecf4","year":2020},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.267786Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:a580dca0ab05230a8e23ad97abb55250ab0bd31ac8fa0fdfdbc0b4921236a67b","observation_id":"a23364ee-2a15-4a75-b549-add24c647d12","resolution":{"observed_at":"2026-08-10T14:13:14.412156Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.394447Z","title":"On class number relations over function ﬁ elds","venue":null,"work_id":"38a0a03b-7a1f-4617-9e29-692f09f9042f","year":1998},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.271793Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:5ebe59420c1462b1b871185e9a8e7fbfaf40e33941dde896ca846893d8fd4801","observation_id":"8b5a6a37-3346-4a3e-8943-96b2f754096c","resolution":{"observed_at":"2026-08-10T14:13:14.398922Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.377617Z","title":"Mass formula of division algebras over glo bal func- tion ﬁelds","venue":null,"work_id":"02c48768-ba20-4dcb-a30b-37aa05f322e6","year":2012},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.275913Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:3931670e94b0e38551fcd8a83716fb131de2cdd5c3e0b63b3826697de6859d55","observation_id":"f75b2156-b257-44e1-a6bc-67ccf51a6ac5","resolution":{"observed_at":"2026-08-10T14:13:14.385628Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.365530Z","title":"Adeles and algebraic groups (with appendices by M","venue":null,"work_id":"b4b5def6-79ea-4f4e-914b-79ac2dada733","year":null},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.281327Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:39997f5de007c51c241f8b6745175748fd0999cda736d4af1f23c6db55089fe2","observation_id":"d7e3edf5-681b-4ed6-bcc3-ec5c7664b6d1","resolution":{"observed_at":"2026-08-10T14:13:14.369801Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-10T14:13:14.351403Z","title":"A class number relation over function ﬁelds","venue":null,"work_id":"7fa4a71c-ed97-41ae-ae16-327d8c75b771","year":1995},"citing_paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-10T14:13:14.285788Z"},"links":{"citing_paper":"/paper/2501.15746"},"observation_digest":"sha256:d75ab2e5db04cfdeacd2689ecb8af4b4f6a1b6586d6de83f71d6730060b5079a","observation_id":"39acbf9d-1d9a-45d0-8a65-fc21b6d69ca5","resolution":{"observed_at":"2026-08-10T14:13:14.355703Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.15746","last_updated":"2025-01-27T03:11:54Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-15T01:32:47.276303Z","submitted_at":"2025-01-27T03:11:54Z","title":"Intersections of Hecke correspondences on the modular varieties of $\\mathcal{D}$-elliptic sheaves"},"reference_resolution":{"displayed":40,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":2,"verified_fuzzy":38},"total_outbound_references":40},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2501.15746."}