{"as_of":"2026-08-12T06:13:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:023706e69a7c2078b39d6ec3ccf6cc03f13292fc9608716ef67da39e100b10c7","coverage":[{"denominator":27,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":27,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T16:37:09.934604Z","state":"measured"},{"denominator":28,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":28,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T17:33:20.767598Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.13299","snapshot_observed_at":"2026-08-02T17:33:20.767598Z","title":"Greer and S","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2603.24464","last_updated":"2026-07-28T20:11:45Z","snapshot_observed_at":"2026-08-11T06:55:07.394981Z","submitted_at":"2026-03-25T16:11:51Z","title":"Weighted Cohomology, Hodge Theory and Intersection Cohomology of Shimura varieties","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-02T17:33:20.767598Z"},"links":{"cited_paper":"/paper/2507.13299","citing_paper":"/paper/2603.24464"},"observation_digest":"sha256:4e2bfe1577985d1d73c1b3ff83fc09c168068be16acaaf814a0fc2a02369fdaf","observation_id":"ce7cf23a-7398-4d95-bec6-366042d0b1c6","resolution":{"observed_at":"2026-08-02T17:33:20.767598Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2507.13299/citation-record","integrity":"/paper/2507.13299/integrity","json":"/paper/2507.13299/citation-record.json","paper":"/paper/2507.13299"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:37:14.716575Z","title":"Smooth compactifications of locally symmetric varieties","venue":null,"work_id":"d12c0243-ef19-4cbb-8fa0-e5905893d8fb","year":2010},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:08.092349Z"},"links":{"citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:7d10af6f299384f582e1c171e3a18f621b35458dff880059294b888c525c359f","observation_id":"d707e89d-4ad2-4bb9-b53b-f1334e71a571","resolution":{"observed_at":"2026-08-06T16:37:14.881066Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:37:14.519799Z","title":null,"venue":null,"work_id":"2a3e44df-5cd8-46d2-bab4-9224d471631d","year":1966},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:08.167185Z"},"links":{"citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:42b0cdcad6bdc1f44646d8bb49d582d9b0f6967deac67e016f9f94088d852200","observation_id":"88e5172f-a617-4a2a-9d94-c9bc7b26b83d","resolution":{"observed_at":"2026-08-06T16:37:14.589129Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:37:14.353998Z","title":"Bruinier, Benjamin Howard, Stephen S","venue":null,"work_id":"01d1c74a-fa7b-4885-b0c9-7f9af28a658f","year":2020},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:08.232742Z"},"links":{"citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:a54495a2275d43c07a0908b760b92e1ba8b178491eee9647d8c105423d151a62","observation_id":"3bdc7ec6-dc9b-4385-be7e-ef71c71ada72","resolution":{"observed_at":"2026-08-06T16:37:14.435077Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:37:14.094229Z","title":"Borcherds","venue":null,"work_id":"700d9490-6de4-4fe9-9491-d76727ef4583","year":1998},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:08.307168Z"},"links":{"citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:679e96c85dfc3746457a2cd3e1bd528f9716bc00c693b6bfce6abf8fd2456e20","observation_id":"c23ca6fb-c578-461b-843a-6d52aea4021f","resolution":{"observed_at":"2026-08-06T16:37:14.243461Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:37:13.956651Z","title":"Borcherds","venue":null,"work_id":"650c3273-5d44-4a5d-847d-386c959e5f8d","year":1999},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:08.373469Z"},"links":{"citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:19bc8dcf53cf923f2ca430556df9555bedc354e890fd232b6c720ee9392edb13","observation_id":"508a469e-e8c8-4ef9-9940-982250b67e13","resolution":{"observed_at":"2026-08-06T16:37:14.021710Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.06254","last_updated":"2024-04-09T12:26:11Z","snapshot_observed_at":"2026-08-11T06:54:39.807468Z","submitted_at":"2024-04-09T12:26:11Z","title":"Modularity of special 0-cycles on toroidal compactifications of Shimura Varieties","version":1},"cited_work":{"arxiv_id":"2404.06254","doi":null,"metadata_source":"pith","pith_arxiv_id":"2404.06254","snapshot_observed_at":"2026-08-06T16:37:10.344024Z","title":"Modularity of special 0-cycles on toroidal compactifications of Shimura Varieties","venue":"math.NT","work_id":"821b4357-76b0-4229-8dda-7f923962e4e9","year":2024},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:08.451391Z"},"links":{"cited_paper":"/paper/2404.06254","citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:6f90b355272e959090d86b0e62e5e5c8d809ec957efeb4f198ecac3b03476bf6","observation_id":"75627493-62d5-4db6-99f0-1aa4d37e2ad2","resolution":{"observed_at":"2026-08-06T16:37:10.403186Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:37:13.808810Z","title":"Kudla's modularity conjecture and formal Fourier - Jacobi series","venue":null,"work_id":"49dfcddd-35c3-43ca-8ee5-2421e5f2fdc5","year":2015},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:08.535833Z"},"links":{"citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:554fcd21d4639841c28f09f42ec2458c74397a5dd34257c1c13982606783b2c5","observation_id":"686d9b72-af32-433d-aaba-fb274ee98e38","resolution":{"observed_at":"2026-08-06T16:37:13.873249Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:37:13.553063Z","title":"Special Cycles on Toroidal Compactifications of Orthogonal Shimura Varieties","venue":null,"work_id":"fc5691b4-f297-46e1-b9ad-2c709da67296","year":2021},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:08.601710Z"},"links":{"citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:78f575facccdd7df25402f782985de89c761f9d4852bf858741846b84867e663","observation_id":"891114c9-eb7f-44fc-b553-d6343bb5d436","resolution":{"observed_at":"2026-08-06T16:37:13.715008Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:37:13.341929Z","title":null,"venue":null,"work_id":"19485e00-d860-41f6-86cd-857b67dc6592","year":1985},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:08.649930Z"},"links":{"citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:56f0a175f3f22f202fa109f9e134bcf735e000082870cd82d3364c9aad92f1ea","observation_id":"0cff0707-0f21-4d26-9156-6fc516f244b3","resolution":{"observed_at":"2026-08-06T16:37:13.436837Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2301.05982","last_updated":"2025-01-21T16:56:55Z","snapshot_observed_at":"2026-08-11T06:55:44.743418Z","submitted_at":"2023-01-14T21:45:05Z","title":"Mixed mock modularity of special divisors","version":2},"cited_work":{"arxiv_id":"2301.05982","doi":null,"metadata_source":"pith","pith_arxiv_id":"2301.05982","snapshot_observed_at":"2026-08-06T16:37:10.235807Z","title":"Mixed mock modularity of special divisors","venue":"math.AG","work_id":"76af2ae1-5a8b-43ff-9621-f72c48e82338","year":2023},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:08.731764Z"},"links":{"cited_paper":"/paper/2301.05982","citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:5770d1dd347989815ca71b741dd9b5614956e6db507b04a3923846ca143c0589","observation_id":"34e572db-eb75-4769-bf5d-45ebaa5f76db","resolution":{"observed_at":"2026-08-06T16:37:10.275473Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:37:13.187405Z","title":"Modularity of cycles in compactified orthogonal shimura varieties","venue":null,"work_id":"9ae72f05-5385-4353-8074-099486193a1c","year":2026},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:08.845735Z"},"links":{"citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:204a5294e5ff51684199aa5d746c38a86466d35c41a68d85833ff9802dfb6053","observation_id":"e4281da7-88a9-4ff0-9597-7491bd75b651","resolution":{"observed_at":"2026-08-06T16:37:13.253237Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2301.08733","last_updated":"2023-01-20T18:55:42Z","snapshot_observed_at":"2026-08-11T06:55:42.724270Z","submitted_at":"2023-01-20T18:55:42Z","title":"Kudla-Millson forms and one-variable degenerations of Hodge structure","version":1},"cited_work":{"arxiv_id":"2301.08733","doi":null,"metadata_source":"pith","pith_arxiv_id":"2301.08733","snapshot_observed_at":"2026-08-06T16:37:10.113925Z","title":"Kudla-Millson forms and one-variable degenerations of Hodge structure","venue":"math.AG","work_id":"972cc1c4-9267-4494-aa81-7b84a3662529","year":2023},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:08.942175Z"},"links":{"cited_paper":"/paper/2301.08733","citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:8b45a4cdad061d22970bf209bc58dc07ad69503cc1aa59e7bb20bd5a07484d53","observation_id":"0bd68400-14dc-443a-be75-8b5a372d5f61","resolution":{"observed_at":"2026-08-06T16:37:10.160729Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:37:12.905235Z","title":"Quasi-modular forms from mixed Noether - Lefschetz theory","venue":null,"work_id":"f244825d-11ab-4e1d-9fa1-bef60b94349e","year":2019},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:08.998250Z"},"links":{"citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:e1ec6027d15724c64b8638f3fa5ea938b153980e003bb4263a0812834e0038fe","observation_id":"233e3e2b-06cf-4390-adaf-7cab5936c65a","resolution":{"observed_at":"2026-08-06T16:37:13.090640Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:37:12.367186Z","title":"Complex multiplication cycles and Kudla - Rapoport divisors","venue":null,"work_id":"98555aa8-0278-4cf0-ad8d-fc85226a3e7d","year":2015},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:09.076919Z"},"links":{"citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:d77ab38b7dbf042fc62fea3449796f293d1c055f461e71dd0f8021565bee4641","observation_id":"21f054f3-bd28-4289-afd9-c5d0d83103a6","resolution":{"observed_at":"2026-08-06T16:37:12.835556Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:37:12.062613Z","title":"Hirzebruch and D","venue":null,"work_id":"5c755e53-09e2-4ae7-b7e1-e2735958772d","year":1976},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:09.146587Z"},"links":{"citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:fbc0eb9b83d9f29616c48d387abd8d72d18950f36ae7237a33f93aae538fb1ca","observation_id":"219f04bf-0fe0-4130-b9fa-5f9862933d9b","resolution":{"observed_at":"2026-08-06T16:37:12.164166Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:37:11.863973Z","title":"Kudla and John J","venue":null,"work_id":"2d96737f-fb9d-48c2-b1f4-cb7bb113909e","year":1990},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:09.203804Z"},"links":{"citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:0e8712119c90f715d5102f2904f13d2ebf9e8b3382b0615c9e399e81e754e6e6","observation_id":"9fe7da70-2dc3-4fdd-a78a-a338d0ac5e2a","resolution":{"observed_at":"2026-08-06T16:37:11.924397Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:37:11.685537Z","title":"Special cycles on unitary Shimura varieties","venue":null,"work_id":"46a3da90-2fa0-4672-a3ce-28fb44878825","year":2014},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:09.230574Z"},"links":{"citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:b4284072ecb27c128cf564a41f0fae308b4b550c43fa5d32bd669b326b99300e","observation_id":"d44cf21d-5375-4cc2-a3ca-f8fa2db51742","resolution":{"observed_at":"2026-08-06T16:37:11.782056Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:37:11.547262Z","title":null,"venue":null,"work_id":"c66f718d-d11f-4284-80db-db231d0cd950","year":2001},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:09.303086Z"},"links":{"citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:e977bf927ad62bbac97989118490feb39b9341183ada0463e5c6d186f27baa7f","observation_id":"af91af92-77a8-4766-ada5-977c281cb41a","resolution":{"observed_at":"2026-08-06T16:37:11.655190Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:37:11.369418Z","title":"Kashiwara and M","venue":null,"work_id":"687d9227-bbe9-4915-85f6-ed58543e7a9f","year":1978},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:09.358863Z"},"links":{"citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:a3491c4033a018c47a9d9624ea68e88f49ebc5c0a8cdc3a834ffa27991b2e3fd","observation_id":"6a95a2f2-d9e3-459c-8ae7-c37d399a6d28","resolution":{"observed_at":"2026-08-06T16:37:11.454361Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:37:11.145376Z","title":"Arithmetic theta lifting and \\(L\\) -derivatives for unitary groups","venue":null,"work_id":"a67202a8-4472-4530-b13d-9427fbf7c9c8","year":2011},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:09.434289Z"},"links":{"citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:c7ae3fff837085266f50989a060be62b845972069e2f9423c17b6d8a888ed4bf","observation_id":"b00fc2f5-41ef-467c-8bb0-01084cad8521","resolution":{"observed_at":"2026-08-06T16:37:11.251112Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:37:11.015448Z","title":"Murasaki","venue":null,"work_id":"8e6240c4-efd5-485e-8dd9-8ac3e6f7cdda","year":1969},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:09.502865Z"},"links":{"citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:9f6cc44910b663ce04a4ec19d35f8d00e7825871c9b8f6bd14436315b6e07edb","observation_id":"8fcc2e96-6861-492b-88a2-ac61c5c75295","resolution":{"observed_at":"2026-08-06T16:37:11.061675Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:37:10.910705Z","title":"Siegel theta series for indefinite quadratic forms","venue":null,"work_id":"92a1c583-c67c-41b8-b054-ffb7785df6d5","year":2021},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:09.564993Z"},"links":{"citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:f0cc6a4de8c0f0442b703b42c7118f6acd271278a16f5368e2ec0c342ddf5e32","observation_id":"5bd9adf5-f736-4467-814e-13adb250473b","resolution":{"observed_at":"2026-08-06T16:37:10.955860Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:37:10.820837Z","title":null,"venue":null,"work_id":"16494496-cb42-4b56-a638-82eaf6aa3527","year":1965},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:09.639550Z"},"links":{"citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:8871bfe28a3d849c7be33b1c079db8c14b012d574ba40ac492e25cc574090887","observation_id":"8e1bd4bd-5fb7-4632-bec4-346d30c733d0","resolution":{"observed_at":"2026-08-06T16:37:10.860411Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:37:10.695881Z","title":"Some cases of Kudla 's modularity conjecture for unitary Shimura varieties","venue":null,"work_id":"357aba29-6e6f-4325-81a4-275b964fdecf","year":2022},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:09.715185Z"},"links":{"citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:95f8da3aad7156bb591f0838d89f69ee0a858871d905514142070e17388f76eb","observation_id":"7a40c30c-65af-46d5-a573-86687271d39d","resolution":{"observed_at":"2026-08-06T16:37:10.769824Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:37:10.584932Z","title":"The Gross - Kohnen - Zagier theorem over totally real fields","venue":null,"work_id":"fab43c89-b77e-4875-9932-b464fae7a5b1","year":2009},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:09.805642Z"},"links":{"citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:be85d4bb9e81ee9302d985b7a54499cc685e5c3850ccba652110196531009a97","observation_id":"b54be0d7-1d8f-4e09-8197-a608a5f7ac8f","resolution":{"observed_at":"2026-08-06T16:37:10.624216Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.16508","last_updated":"2023-10-25T09:51:18Z","snapshot_observed_at":"2026-08-11T06:55:11.808687Z","submitted_at":"2023-10-25T09:51:18Z","title":"Hermitian Jacobi Forms Having Modules as their Index and Vector-Valued Jacobi Forms","version":1},"cited_work":{"arxiv_id":"2310.16508","doi":null,"metadata_source":"pith","pith_arxiv_id":"2310.16508","snapshot_observed_at":"2026-08-06T16:37:10.007311Z","title":"Hermitian Jacobi Forms Having Modules as their Index and Vector-Valued Jacobi Forms","venue":"math.NT","work_id":"0c6286e7-4a64-4e69-8568-55cb0261a92a","year":2023},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:09.868604Z"},"links":{"cited_paper":"/paper/2310.16508","citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:76f00d6a7e202da737998715a32f6033adf7856cdb39551be49be5979ad204f2","observation_id":"8d4ef962-a2dd-4aed-9223-d57581c4f0d5","resolution":{"observed_at":"2026-08-06T16:37:10.052006Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T16:37:10.473596Z","title":"Modularity of generating functions of special cycles on Shimura varieties","venue":null,"work_id":"9f0aefca-4639-40f1-93af-8da353b58805","year":2009},"citing_paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-06T16:37:09.934604Z"},"links":{"citing_paper":"/paper/2507.13299"},"observation_digest":"sha256:a9b62b7675c35034ef799c62db6ae17cacfc531446565951126cc449b6a9f9ac","observation_id":"7ab32eec-db0b-4624-b810-166710310d5b","resolution":{"observed_at":"2026-08-06T16:37:10.521770Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.13299","last_updated":"2026-05-28T16:58:57Z","latest_version":2,"primary_category":"math.NT","snapshot_observed_at":"2026-08-11T09:31:18.369865Z","submitted_at":"2025-07-17T17:06:47Z","title":"The cohomological Kudla conjecture for unitary Shimura varieties"},"reference_resolution":{"displayed":27,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":4,"verified_fuzzy":19},"total_outbound_references":27},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2507.13299."}