{"as_of":"2026-08-10T02:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5cd3b11e70a1be5b883a0295752dc3750a28c2307d6c1819cf8b3d9d27e9705e","coverage":[{"denominator":34,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":34,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T16:12:57.116353Z","state":"measured"},{"denominator":34,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":34,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+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/2507.14566/citation-record","integrity":"/paper/2507.14566/integrity","json":"/paper/2507.14566/citation-record.json","paper":"/paper/2507.14566"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:12:57.483416Z","title":"Alpoge and S","venue":null,"work_id":"757239c7-2f8e-4fcc-8be8-375481b73988","year":2015},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:54.646969Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:a32767287bb4402936386dccc0594e11c2defc7d763349bf8d24729c9f9461c0","observation_id":"dcd7704a-4bcb-42d6-94c8-ee40e17e93fa","resolution":{"observed_at":"2026-08-06T16:12:57.486925Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.471254Z","title":"Balkanova, B","venue":null,"work_id":"f371139e-bee1-4cc2-9741-95880c953d6b","year":2021},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:54.770949Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:46183aef241100b4315afe9aeb9d8aacac31bcd1dda55c8db6aa08def8c2f976","observation_id":"cd558bfe-94a1-4f55-8881-a76a38f7a17c","resolution":{"observed_at":"2026-08-06T16:12:57.474700Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.459380Z","title":"Bohr and E","venue":null,"work_id":"5f400e76-148c-40d7-a8e6-3e63ce534689","year":1914},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:54.902867Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:f109070c8d9cf9442cd23918497a2792e5515a357bb2a6741da1fdb16a8b63ca","observation_id":"0144b7a6-721c-4a4e-b3c8-86364f309d71","resolution":{"observed_at":"2026-08-06T16:12:57.462533Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.448270Z","title":null,"venue":null,"work_id":"c9488f2b-732f-46d8-adba-7dd8192b6c8c","year":2012},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:55.050333Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:cda425dc458329fcae41098d8e099c97097fbd658dc5d3631281735f54dae918","observation_id":"4af9b29e-c15b-4773-ae2a-704b3ef53ad4","resolution":{"observed_at":"2026-08-06T16:12:57.452091Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.438187Z","title":"Bourgain","venue":null,"work_id":"0941e19d-f54d-44bc-8327-b27f9e455c09","year":2017},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:55.186720Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:4a0994ccd5f14568e233d68fca6b1cdcf8cea5d77d78244a9a2bfb2d307b360a","observation_id":"baa30fb8-d8d1-4139-8d04-6c745fc6ef9f","resolution":{"observed_at":"2026-08-06T16:12:57.441429Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.427355Z","title":"Bourgain and N","venue":null,"work_id":"da6adf9b-28a2-43d0-8deb-a12091382860","year":2018},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:55.312397Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:74dbb0f587103f71dc50e5f41f7a8367e0e3e163c6830bdbc4ce2498a3a0c8e8","observation_id":"d4c8ec7f-dab9-430a-800f-8c73c735daf5","resolution":{"observed_at":"2026-08-06T16:12:57.430528Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:12:55.423787Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:55.423787Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:88f29a7cb5f388c69affef49029188b3130df8e9eaeb4392e3c059afd22c1d47","observation_id":"08f0ab49-9d58-45d8-aa08-2f26de310fde","resolution":{"observed_at":"2026-08-06T16:12:55.423787Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:12:57.409567Z","title":"Deshouillers and H","venue":null,"work_id":"926044af-e206-43c5-ba94-4dda00fb8b0b","year":1984},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:55.557235Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:d1da6cbed77b1636db402aaf7f132fecff9731b3edbb939bf508cb06d8bbc645","observation_id":"29e5ca4a-650e-4541-a464-194495947720","resolution":{"observed_at":"2026-08-06T16:12:57.412733Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.399013Z","title":"Ivi\\' c and M","venue":null,"work_id":"8b303c1a-50e2-4dd3-8791-7cc131aaa3a8","year":2003},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:55.756679Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:35d68021550a8a5f0371dddd36cd035ce1771489ad99b9145b58f307d16d6e14","observation_id":"a602292e-1b29-4000-a349-408c0ef667ec","resolution":{"observed_at":"2026-08-06T16:12:57.402472Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.389038Z","title":"Iwaniec and E","venue":null,"work_id":"4bdc58fb-33e5-44da-9ee8-49b38b93129c","year":2004},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:55.886914Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:9b9004c90b6f78132fbc21ebac228721c6c34ea8a9de423477f1729837a7ebe8","observation_id":"95634087-ee8b-4591-bca9-d2c4d18bbd6c","resolution":{"observed_at":"2026-08-06T16:12:57.392072Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.378398Z","title":"Iwaniec and X","venue":null,"work_id":"dd6e25dd-94f1-48a5-81c3-5fa3af072b14","year":2007},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:56.006873Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:9fdd924a5ef68f2fb923add22a34165050eb4220484b29f3e3b5d13babcec0f8","observation_id":"f9b95a6e-e8c2-4a41-a3ea-746c74b03c6b","resolution":{"observed_at":"2026-08-06T16:12:57.382122Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.369560Z","title":"Iwaniec, W","venue":null,"work_id":"81d10aa0-8c60-4ff2-a626-56755ac77d88","year":2001},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:56.121660Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:074a14e7cb8e12ec395dc9cfcafa37e59818a4ac4ea7d0f8af4024202942d05b","observation_id":"d6d40347-c0a7-4f12-841c-249332270ba7","resolution":{"observed_at":"2026-08-06T16:12:57.372612Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.359725Z","title":"Iwaniec and P","venue":null,"work_id":"d9a7be35-e104-4589-956c-f83f27b4e666","year":2000},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:56.260358Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:d97abc1be941bce92b143ecda3c634e669a8820f0e93358b0bbb1f85cbe49b1c","observation_id":"652df7c2-39f3-4231-b3bb-751ca6783763","resolution":{"observed_at":"2026-08-06T16:12:57.363465Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.349617Z","title":null,"venue":null,"work_id":"c19f5f82-8feb-482b-9e3b-b6ae773772d9","year":2003},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:56.424581Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:ce0759260ffc9d0ffe19c8d1031eace7a00f7110b103b54e294fe905957c5d09","observation_id":"fc4a63aa-d6d3-4bde-9a9e-d5bfed1e7364","resolution":{"observed_at":"2026-08-06T16:12:57.352918Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.339818Z","title":"Kowalski and P","venue":null,"work_id":"4a7d6ac9-78ef-4b41-aa32-44128c429d19","year":1999},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:56.534341Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:ff69b0fb774a0402e2ed8f96310c25c4cf4473a66e98a3812d606cf73175f5fa","observation_id":"94ada55e-a725-42cb-bb9e-11a04e0a4a6e","resolution":{"observed_at":"2026-08-06T16:12:57.343258Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.329571Z","title":"Kowalski and P","venue":null,"work_id":"39f711c4-80da-496c-9291-0567392bb170","year":2000},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:56.694182Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:17ea7a7e1daa0116ea7d37cab64d34dd56b1cbb669cb921ff01e9d4c3214255d","observation_id":"8f657a37-9671-499d-8cdc-f5a190c269fc","resolution":{"observed_at":"2026-08-06T16:12:57.332827Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.320832Z","title":null,"venue":null,"work_id":"d3987eb1-eae4-4ebc-a09b-c1d1188caf56","year":1999},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:56.790839Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:b2d5e052df3820a7c077b107341e2e6e315a6b2970255ae3e35344f3b9f43456","observation_id":"cf6011b5-f396-43e8-87b0-ae6fb44ea979","resolution":{"observed_at":"2026-08-06T16:12:57.323844Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.312179Z","title":null,"venue":null,"work_id":"8308ca3d-e2c6-48d6-b670-b0c881b09c20","year":2011},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:56.850393Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:07e6db650792ba65dad8aaa1d2b687994c50301e4e58cd36228122f2b91672ca","observation_id":"ad7df2cc-2220-44cf-b41c-2ba057be6521","resolution":{"observed_at":"2026-08-06T16:12:57.315077Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.303318Z","title":null,"venue":null,"work_id":"136a5621-a810-4be3-b444-2c949d2d29f9","year":2011},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:56.965055Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:e572966943a5ffac512df3286c9cdbbdc3ee715c0f0f970f43206f18d06df416","observation_id":"40748676-eae6-4984-8ecf-fa6678d1fb89","resolution":{"observed_at":"2026-08-06T16:12:57.306132Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.294718Z","title":null,"venue":null,"work_id":"0d717c38-b1ea-4a24-9d6c-edf6fef006ac","year":2020},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:57.013044Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:a2732da92220a87abfa784d494c9b3b194c4e4a8c063451b0d7f75e17323eab7","observation_id":"7d27f326-3de8-4875-b69d-078aede41b1d","resolution":{"observed_at":"2026-08-06T16:12:57.297625Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.285309Z","title":"Liu and Z","venue":null,"work_id":"5f023ff4-9bdd-43e9-b900-f2047c4521e1","year":2022},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:57.073639Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:0988cd5a6955405be5e92dd32cc901b2de9b7787b68003fb79994a6ada687d78","observation_id":"974d9179-b19f-4155-b3cd-6e629d39cf03","resolution":{"observed_at":"2026-08-06T16:12:57.288509Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.275307Z","title":null,"venue":null,"work_id":"9ec07d37-36d7-495d-9b87-debe2fe2483a","year":1993},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:57.077146Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:da55e75dfef44b530df79aaea633542e689c13a007b93a7fd9d921f7a38082eb","observation_id":"fa1e9bf0-30ac-4a23-8321-f1bb940b69a7","resolution":{"observed_at":"2026-08-06T16:12:57.278390Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.265315Z","title":null,"venue":null,"work_id":"1e45e9e7-5707-46e0-a407-c78572e7469d","year":1995},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:57.080572Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:13a9c5118751fb386ccc070fa78735f8b3e4211a56c7c6742a0935d55367f132","observation_id":"51d0cd46-1ad0-4dde-ad55-303c63aa4b5a","resolution":{"observed_at":"2026-08-06T16:12:57.268583Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.253413Z","title":null,"venue":null,"work_id":"01ac5d67-ba30-46cf-881a-eda356c31c27","year":2001},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:57.083638Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:72d517f09cd14742e9e81d3bf8c647eb7e54632241526a3a4e0d52ba7f0c22a0","observation_id":"bb34547b-0636-4428-9a9f-e431274bc51a","resolution":{"observed_at":"2026-08-06T16:12:57.257027Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.243117Z","title":null,"venue":null,"work_id":"fac15269-d1b9-44e0-a649-ff4e0aa43fe3","year":2012},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:57.086835Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:1cb30c190ff2ca5f324230e2df42b727ec603b1b125a5230380073aef3d57741","observation_id":"74d750f0-bc41-41eb-bf53-8e2076436fb8","resolution":{"observed_at":"2026-08-06T16:12:57.246119Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.233106Z","title":"Magnus, F","venue":null,"work_id":"da461ea3-c11e-45da-a126-c8ee44384a0d","year":1966},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:57.089911Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:5526c057a54f722c2bf4033237bea555fa80754cac60e3667d161e52d69222fd","observation_id":"c529894a-7040-42cf-9426-5711f0e9b208","resolution":{"observed_at":"2026-08-06T16:12:57.236141Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.223354Z","title":null,"venue":null,"work_id":"b67a673f-3b54-4f1a-800a-23e161940d7f","year":1985},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:57.093273Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:a27b6c939ef9d4562df90d283b8897d71d21ac4b8fd92ac89bf50562a3b2d2a6","observation_id":"a31dc2a7-77a0-4643-bec0-7af382c59093","resolution":{"observed_at":"2026-08-06T16:12:57.226421Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.08546","last_updated":"2025-07-19T10:14:08Z","snapshot_observed_at":"2026-08-07T05:05:08.754566Z","submitted_at":"2025-06-10T08:12:05Z","title":"On the Effective Non-vanishing of Rankin--Selberg $L$-functions at Special Points","version":3},"cited_work":{"arxiv_id":"2506.08546","doi":null,"metadata_source":"pith","pith_arxiv_id":"2506.08546","snapshot_observed_at":"2026-08-06T16:12:57.146854Z","title":"On the Effective Non-vanishing of Rankin--Selberg $L$-functions at Special Points","venue":"math.NT","work_id":"25e3c4ec-274e-49bf-a912-26f1b642b455","year":2025},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:57.096415Z"},"links":{"cited_paper":"/paper/2506.08546","citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:bd406a740f66443823469e9c9559da9a81548d3575eb8ed173e2cdf3bce89265","observation_id":"90776cf0-9493-461a-bc7d-27f15240c8b8","resolution":{"observed_at":"2026-08-06T16:12:57.152524Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.213529Z","title":"Rudnick and P","venue":null,"work_id":"fe978c99-fd95-4341-9a52-70bf97ace489","year":1996},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:57.100096Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:4ab45ba69f571ab8f2ebab30747c42c087de2e99c506aea1008c6b7a296708c4","observation_id":"7db12e0c-0477-4c01-90c2-e51e435e3548","resolution":{"observed_at":"2026-08-06T16:12:57.216512Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.202488Z","title":null,"venue":null,"work_id":"3b89cbc8-5ca0-422f-b002-7197c4c65bbb","year":1989},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:57.103523Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:bc40492d9a301531cd5d05f983790ea649cefc7c72aa293041617e7d7f5e3f03","observation_id":"ae374bd4-5e6b-44d7-803c-f39cd9253a2d","resolution":{"observed_at":"2026-08-06T16:12:57.206513Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.191750Z","title":null,"venue":null,"work_id":"91e7fadc-f147-4dfb-ab9f-84a150611366","year":1986},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:57.106886Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:ee21ac5b57243c11bfb99e06383df19034f2801d4fe41596b53cfdd74d46ac3b","observation_id":"422692d0-0740-48d1-9728-47b095caa619","resolution":{"observed_at":"2026-08-06T16:12:57.194995Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.181500Z","title":null,"venue":null,"work_id":"e78ac862-f639-4d5a-91be-6d496f625f61","year":1944},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:57.109898Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:2b04c00e45f51ec15c5964cea9f6b46be64295f4248f28defbdcd3e316df405d","observation_id":"a9eca9bb-5528-4935-9fba-2751199e33ad","resolution":{"observed_at":"2026-08-06T16:12:57.184585Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.170946Z","title":null,"venue":null,"work_id":"1ac6ffcf-e6aa-4913-8c3c-fd1b3a5ff29c","year":2014},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:57.113271Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:3eeca37db62ceaf06964263d8b9c2c76d4df74dbd4dd1bb808381b9ad19244bf","observation_id":"508efa0c-2b07-4bb1-97c8-2253991d65c1","resolution":{"observed_at":"2026-08-06T16:12:57.174125Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-06T16:12:57.160322Z","title":null,"venue":null,"work_id":"dedd1166-ad85-423f-b52c-9830b765ae81","year":2017},"citing_paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-06T16:12:57.116353Z"},"links":{"citing_paper":"/paper/2507.14566"},"observation_digest":"sha256:2ea99f03f7d81d5a6f8f8a81b72485b357705ecdad53a13498ddffb11cf10991","observation_id":"41ca6e83-5f7e-4591-8919-51066dac89e9","resolution":{"observed_at":"2026-08-06T16:12:57.163984Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.14566","last_updated":"2025-07-19T10:19:52Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-06T15:50:22.299931Z","submitted_at":"2025-07-19T10:19:52Z","title":"On the Effective Non-vanishing of Hecke--Maass $L$-functions at Special Points"},"reference_resolution":{"displayed":34,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":17,"verified_exact":1,"verified_fuzzy":16},"total_outbound_references":34},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2507.14566."}