{"as_of":"2026-08-12T21:36:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f7c0d234342a4bd5b422deedda4c59b6eaf37518e2d23cd5fd82f85019f348f3","coverage":[{"denominator":36,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":36,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T22:25:07.558339Z","state":"measured"},{"denominator":37,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":37,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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":"2026-08-03T23:59:44.456885Z","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":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.21981","snapshot_observed_at":"2026-08-03T23:59:44.456885Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.03987","last_updated":"2026-06-22T16:33:22Z","snapshot_observed_at":"2026-08-03T23:59:41.108453Z","submitted_at":"2025-11-06T02:17:47Z","title":"An orthogonal perspective on Gauss composition","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-03T23:59:44.456885Z"},"links":{"cited_paper":"/paper/2506.21981","citing_paper":"/paper/2511.03987"},"observation_digest":"sha256:92348bb5a3fbe818b1fd5e92b6f7cd496fc14572b41fe59c9bc9e2d5de6af97e","observation_id":"c03dfa80-3526-4445-a85a-6a36c389eb9e","resolution":{"observed_at":"2026-08-03T23:59:44.456885Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2506.21981/citation-record","integrity":"/paper/2506.21981/integrity","json":"/paper/2506.21981/citation-record.json","paper":"/paper/2506.21981"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:25:14.109371Z","title":null,"venue":null,"work_id":"7ef2500b-f2f7-40bb-8bf9-cb5e88c559d4","year":2022},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:05.014124Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:a1996e58a22c8479e26c71a19881c9ccd6a812d6f6664edee4936296736b81be","observation_id":"096741fc-1986-4000-9c09-87bce80e4b82","resolution":{"observed_at":"2026-08-06T22:25:14.212442Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:13.834800Z","title":null,"venue":null,"work_id":"c6f3f016-a6a9-41f2-995e-27dcc9d1b197","year":2021},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:05.070274Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:4b1648232fb0ee720e43a846a3170c6f47498c705c684322e2320051ff7d76cd","observation_id":"bfebf124-be06-474a-b321-e7880f62cd91","resolution":{"observed_at":"2026-08-06T22:25:14.010141Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:13.641797Z","title":null,"venue":null,"work_id":"66a0401b-ea7b-4282-82ec-6d1a441f5faa","year":2004},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:05.137021Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:0b32f5b88f39659396ea89c1df22e519f99e1569638c000cf7adcf14929cd43f","observation_id":"339e9a6f-69a8-42b9-9bd0-26b04686617f","resolution":{"observed_at":"2026-08-06T22:25:13.745321Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:13.460157Z","title":null,"venue":null,"work_id":"67e082a2-601e-4c8b-9a4b-73d1bacc2b30","year":1989},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:05.225719Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:92fdf3d12af8a410ddc77393b5a8478526ed3cac74685cc2bff226d99db6cb0f","observation_id":"0df756c4-1c5e-4915-9ad6-0051c642b4cc","resolution":{"observed_at":"2026-08-06T22:25:13.546503Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:13.296829Z","title":null,"venue":null,"work_id":"fbc9f24d-e0d2-48bc-b7e4-7e2f1dac8cb8","year":1991},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:05.312432Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:0e1b6cc022db632da32946bb3b35a5d5d0e4e360d709bf6e5229cd739cc1d593","observation_id":"1d8ff934-c870-4bf7-8661-0f3775209002","resolution":{"observed_at":"2026-08-06T22:25:13.367424Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:13.136823Z","title":null,"venue":null,"work_id":"dc321d28-fb65-43b1-a84e-1bedd358227b","year":1997},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:05.400335Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:8f5e4ac96dd52999237b26ef4d33eae0ef61116cf85e92a412ac443485a8854a","observation_id":"826a0896-a654-41e5-82d6-49a0d9f22b5f","resolution":{"observed_at":"2026-08-06T22:25:13.219946Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:12.911664Z","title":null,"venue":null,"work_id":"ceee3fdf-5a55-46d7-a797-355230c56b4e","year":2022},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:05.487079Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:13cadcaa1ee6dc4046f37326383d07b3a892e251f9af464e05d4f04e2b892e7b","observation_id":"6c74d14a-e351-472a-a151-ee5628317557","resolution":{"observed_at":"2026-08-06T22:25:13.039174Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:12.747027Z","title":null,"venue":null,"work_id":"a74b140a-a36e-4274-9c73-8db049fc17d6","year":1997},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:05.552164Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:4f093322ad6e7efb05ba6500865e348b43758bce9762aa2f8eca49c78268a8c0","observation_id":"4254693b-2528-4993-b1f8-f26be639adaa","resolution":{"observed_at":"2026-08-06T22:25:12.805305Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:12.551516Z","title":"348, 1805--1858","venue":null,"work_id":"4739e08b-caa6-4e7c-a20c-607c699591ec","year":2024},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:05.610146Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:9a89aab1e170fa3e87436c37581ead1f58b7b74535399b0e14e5da39d09e808d","observation_id":"ab021373-fd67-4d65-9f5c-c8a4c6e3d33b","resolution":{"observed_at":"2026-08-06T22:25:12.630474Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:12.383567Z","title":"63, Springer-Verlag, Berlin-New York, 1974","venue":null,"work_id":"bd6e47df-7caa-4590-9539-f2ea96da5377","year":1974},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:05.679278Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:093857985fa3250bf1bda01725f6fac669b79daa744d73a69dbb339ff3c765b6","observation_id":"83669fd4-defb-4ba9-85a3-4e0b4bd5c51e","resolution":{"observed_at":"2026-08-06T22:25:12.462490Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:12.211096Z","title":null,"venue":null,"work_id":"cebda2b9-312b-4497-b398-ddaff87fc7a4","year":2013},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:05.744314Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:722ec60c7dd4f4c5d3553783ae56d16df98c8e84803b2e77c904b1032a406003","observation_id":"70e9805b-eba6-4347-8281-7461adcc5c86","resolution":{"observed_at":"2026-08-06T22:25:12.292362Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:11.986562Z","title":"aren quadratischen Formen, nebst den Resultaten neuer Forschungen \\","venue":null,"work_id":"4e8ef055-b755-408c-b679-4f589751c0f0","year":null},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:05.834749Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:9288fab999bf1d71d7a0d9f3fee09ed1208c40154a0d250076f06cb6266872ea","observation_id":"e2a3fa84-7ac9-4c5e-9a3a-cfe536598ebe","resolution":{"observed_at":"2026-08-06T22:25:12.101811Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:11.793543Z","title":"1, eds.\\ A","venue":null,"work_id":"2309c240-2954-40ff-afbc-e9c8d675c928","year":1977},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:05.942116Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:8584465b054114e178b27e5fece68b3b9ca786376d74568796894de5622a7c3a","observation_id":"b9a301e6-5441-4548-99d5-65efca547677","resolution":{"observed_at":"2026-08-06T22:25:11.875969Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:11.547614Z","title":"6, Springer, Berlin, 2014, 147--179","venue":null,"work_id":"332ff4bc-bbbe-4107-bc7f-0d97f0edd89e","year":2014},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:06.004503Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:ee0f61d52017997cf538cd8c45487a92a9f6a89a177406dfc67ffc4e7058de29","observation_id":"b157a990-7a57-4aea-82cc-70a6cc02ef61","resolution":{"observed_at":"2026-08-06T22:25:11.637791Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:11.451811Z","title":"Gross, Local orders, root numbers, and modular curves, Amer","venue":null,"work_id":"11c98b0d-fefb-46a3-9d45-8a5069b5aa25","year":1988},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:06.079406Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:8d52aa556e36b36d82ede8274f84193834cf82c73fa18c3533384d5be886af08","observation_id":"e3b338e1-d430-4f28-a317-e42581a233fb","resolution":{"observed_at":"2026-08-06T22:25:11.496460Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:11.300298Z","title":null,"venue":null,"work_id":"a7562cb3-83b3-4d28-a917-1fc27db8f7c0","year":1999},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:06.168628Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:e8271069bbbbf1187efec841b0bbdb48ad889a6e33ac2e2d70094a759d02782a","observation_id":"efe3b1ce-415c-4b69-9c08-8798a48fd37b","resolution":{"observed_at":"2026-08-06T22:25:11.384800Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:11.108666Z","title":"Gross and Mark W","venue":null,"work_id":"af8bfa3a-66a0-4970-be1c-6c6f41a4bdf6","year":2009},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:06.263245Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:fec6cb7d68c8fdc0b06b0d2d7aac703d32f69025e9bbd8deccdca2f348e5fdc1","observation_id":"bd4aac17-add5-4711-8d1c-1ad18a66cc10","resolution":{"observed_at":"2026-08-06T22:25:11.211407Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:10.937258Z","title":null,"venue":null,"work_id":"94c3d467-cae0-440a-8c80-304c12ba2e25","year":2014},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:06.388216Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:e9bcec6445f4f981d548f83cfa990a8c1518a0347ec64d4615b133d3d07bda86","observation_id":"420859cc-372f-41d7-8eaf-6295ed178a14","resolution":{"observed_at":"2026-08-06T22:25:11.011975Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:10.721082Z","title":null,"venue":null,"work_id":"dfc14a57-0a51-40e0-91a3-744100910d1f","year":2016},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:06.455470Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:3cab6cdcfca3c0c61f65fc1d0b430ca814ba43f08f813e33e2612f6775e4c1c0","observation_id":"f324d15c-82d1-4ae2-83ef-2b39e68832f3","resolution":{"observed_at":"2026-08-06T22:25:10.829865Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:10.566013Z","title":null,"venue":null,"work_id":"a6b10213-f835-42ac-962e-1968bea3aec2","year":2024},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:06.522504Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:d44a689925718324bf27501548129ef79c02714a121331b68314b76ee169f0b4","observation_id":"b024e52c-9a7c-49b8-9b20-78bdbf1e2156","resolution":{"observed_at":"2026-08-06T22:25:10.636304Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:10.391732Z","title":"4, 727--776","venue":null,"work_id":"9d4619e8-5472-45bb-a40a-ba8cb611c673","year":1981},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:06.596111Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:8df134daa8b016f28457da4d531e954dcef5e892be039eb51d09829d30cec4ad","observation_id":"1d401043-1b98-4477-b807-53362357d36a","resolution":{"observed_at":"2026-08-06T22:25:10.471880Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:10.211633Z","title":"Langlands, Automorphic forms on GL(2), Lect.\\ Notes in Math., vol","venue":null,"work_id":"48a3d10f-8cb8-43c8-9397-406c2349cd9c","year":1970},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:06.686030Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:1a0e0f7b31a0108f3e0d31a498b069344e8590d84519ee9c7c8f569409f8d316","observation_id":"5d03e73b-8a2d-4494-904d-463bf735d6ef","resolution":{"observed_at":"2026-08-06T22:25:10.307729Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:09.981859Z","title":null,"venue":null,"work_id":"6cc8cd37-7f3e-4193-97d6-635565b17af9","year":1957},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:06.748170Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:354c3d063c5955c996365c5c6cd6473d26897f3442271599510138f08ea466c2","observation_id":"44d3547f-9a44-4f46-994a-cfb1f69d194f","resolution":{"observed_at":"2026-08-06T22:25:10.099627Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:09.793872Z","title":null,"venue":null,"work_id":"072665b1-2889-49ea-8b2d-3c1e949a2d10","year":2018},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:06.835996Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:8565563fa3e60e0b224625adb7739bcb863ef77e84fcbee154b08a1cf1cc16f5","observation_id":"0ba28759-55d3-43c4-9c9a-f425a8d04c47","resolution":{"observed_at":"2026-08-06T22:25:09.885294Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:09.614476Z","title":null,"venue":null,"work_id":"6a262646-f4bb-48a5-94e3-fa31431d0366","year":2020},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:06.904825Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:937887084617e4b33e60063cffbe5c04b8d9d8cab73b1d8d04a02321e6746abb","observation_id":"2f82e72d-493b-447f-988e-52d6815effe3","resolution":{"observed_at":"2026-08-06T22:25:09.696084Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:09.387851Z","title":"2, 99--116","venue":null,"work_id":"3ca6f210-c087-4ac9-8bae-e65b1f5f26c3","year":1977},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:06.967916Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:3920f0ba36ec4fbcc210fc9046ed2f7f9f441d864cc13ca9e0caab7f5e4a854a","observation_id":"356746f6-da6e-4fc2-bb80-06005b217024","resolution":{"observed_at":"2026-08-06T22:25:09.479280Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:09.204359Z","title":null,"venue":null,"work_id":"2d8330fa-4794-41fd-9622-dd778063b45b","year":1981},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:07.016304Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:5bddeaa8437cc56ee2a779a18a5addeb1d0e356376af2e48dd1a04ee9dd91e43","observation_id":"94273b53-fcdc-45fe-adc5-b2028a1484e0","resolution":{"observed_at":"2026-08-06T22:25:09.301359Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:09.002413Z","title":"1918, Springer, Berlin, 2007","venue":null,"work_id":"81cd7af7-170a-4a13-8064-81200c6fb236","year":1918},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:07.088897Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:e2b5ea9e66d8896d6ba74e927ecaec8aa2705f4e011e4b8b19f819e585515dee","observation_id":"06a80292-fa5f-4e02-a980-eb1d2c46303b","resolution":{"observed_at":"2026-08-06T22:25:09.094438Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:08.772293Z","title":"3, 507--517","venue":null,"work_id":"9dc36d85-f304-43ac-be45-511a17e25366","year":1997},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:07.161925Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:a14796e9d71c9a3bfd8be1895579482feddc3fab27860eefac0e474150441f6f","observation_id":"deec0282-76c2-4406-9f27-b98e7f4e3e11","resolution":{"observed_at":"2026-08-06T22:25:08.881094Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:08.585184Z","title":null,"venue":null,"work_id":"fef82b05-0916-4849-9733-55a6d4717a95","year":1986},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:07.216295Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:b548beb5bff88881284a31e5f13f5d1436ac2cb431881c2adf24c9f9a27dc26a","observation_id":"7585e9e0-fcd4-4afd-86b1-d9e62cf1fd97","resolution":{"observed_at":"2026-08-06T22:25:08.686385Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:08.350394Z","title":null,"venue":null,"work_id":"1ff9e801-cc7f-4559-902b-735dbdd7e862","year":2005},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:07.268478Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:b5496a25a75b10a806302c28155c94f811354defbd8b5fdad50a571bba760e09","observation_id":"16f0906f-4779-4f6c-b8ab-4cf5328ed6ad","resolution":{"observed_at":"2026-08-06T22:25:08.477462Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:08.154506Z","title":null,"venue":null,"work_id":"cc701194-3265-4f3f-b3d6-359c92c0e885","year":2011},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:07.321340Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:3fdf5820f12b057109f2e5c02b8bb2949343a8ffadde02624e060d7ea2afa82d","observation_id":"2b1273fc-9aa8-4068-8eb1-5e86d4eb2eb5","resolution":{"observed_at":"2026-08-06T22:25:08.228612Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:08.028121Z","title":"K.\\ Alladi, M.\\ Bhargava, D.\\ Savitt, and P.H.\\ Tiep, Developments in Math., vol","venue":null,"work_id":"1bae3192-5a53-4d9d-9064-763ea9815408","year":2013},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:07.388250Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:eaf57fededac81b591df5861a2822a291e597a4931c980141eb96423d9a7e8d6","observation_id":"ecc901f1-da06-4113-94bb-faef45dc2032","resolution":{"observed_at":"2026-08-06T22:25:08.079351Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:07.898134Z","title":"288, Springer, Cham, 2021","venue":null,"work_id":"51e9eb36-ba39-44aa-a3f3-ddd64af85af5","year":2021},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:07.456217Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:71b51815c2babe0db886921d569d37815660a962a11c3a3a6a78ffe244376232","observation_id":"02e9d12b-5a70-4781-aeff-600385974bb7","resolution":{"observed_at":"2026-08-06T22:25:07.946235Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:07.767292Z","title":null,"venue":null,"work_id":"f2887bd0-0806-4000-b6f9-10a87d54a932","year":2023},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:07.511156Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:81abad1adcd42a259095183b66cb0bc2f9bc783bad836168e03d35adb365acd6","observation_id":"401297a0-d92b-4eec-8984-119668bb2256","resolution":{"observed_at":"2026-08-06T22:25:07.834543Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T22:25:07.627431Z","title":null,"venue":null,"work_id":"abdfc061-9a0f-4f10-8763-670285f89e0f","year":1962},"citing_paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-06T22:25:07.558339Z"},"links":{"citing_paper":"/paper/2506.21981"},"observation_digest":"sha256:a0bcee0f1ae6149a94fd1d43b55afb31cae4b1be08d376b7a48f80bb3b4293e6","observation_id":"cdabec7f-fb7a-4c6e-b929-40482a56457c","resolution":{"observed_at":"2026-08-06T22:25:07.684141Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.21981","last_updated":"2025-06-27T07:41:33Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-06T22:11:53.611304Z","submitted_at":"2025-06-27T07:41:33Z","title":"Computing Hilbert modular forms as orthogonal modular forms"},"reference_resolution":{"displayed":36,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":22,"verified_exact":0,"verified_fuzzy":14},"total_outbound_references":36},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 1 inbound Pith citation observation for arXiv:2506.21981."}