{"as_of":"2026-08-18T04:49:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d85a851959a2e981440fb30f13ca6c868c2cc999abdbbacd268b1eb6d24af8eb","coverage":[{"denominator":54,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":54,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T11:17:51.996303Z","state":"measured"},{"denominator":54,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":54,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+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/2606.11451/citation-record","integrity":"/paper/2606.11451/integrity","json":"/paper/2606.11451/citation-record.json","paper":"/paper/2606.11451"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.12410","last_updated":"2024-12-16T23:30:05Z","snapshot_observed_at":"2026-08-17T05:12:39.339875Z","submitted_at":"2024-12-16T23:30:05Z","title":"Level aspect subconvexity for $\\textrm{GL(2)}\\times \\textrm{GL(2)}$ $\\textrm{L}$-functions","version":1},"cited_work":{"arxiv_id":"2412.12410","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.12410","snapshot_observed_at":"2026-07-03T07:57:45.377364Z","title":"Level aspect subconvexity for GL(2) GL(2) L -functions","venue":null,"work_id":"d1dec899-1f02-4dfd-b41e-64b65343b9d2","year":2024},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"cited_paper":"/paper/2412.12410","citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:6a70f44bdd7818bde315069d9e1357feb3293224d4d7eb75979baa9645841f4c","observation_id":"833b4889-31dc-4676-aa74-26b80c1f3956","resolution":{"observed_at":"2026-07-03T07:57:45.378753Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-06-27T11:17:51.996303Z","title":"On the R amanujan conjecture over number fields","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:d0401bbc23d407f873729a0f7bbda19d658856f22e5482db3eaaf6b47f08ed90","observation_id":"2fe01f4a-2ba0-442f-8e44-6f4389b19053","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Hybrid bounds for twisted L -functions","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:6fe7b5a5fb7002b648c84b27e4e07d49d710b6ba223c2b46027c1c882abf67b9","observation_id":"072dc1d4-2a4c-4194-b103-067a359f1b54","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Bruggeman and Yoichi Motohashi","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:491a4ab90699a4a2ef11a9304f4acde9ff30051c21217b391b597ed24f67534f","observation_id":"dc8f05ad-b12e-4a36-9362-c0d92c377f24","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"The second moment of twisted modular L -functions","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:2091af9d80ef19533548455310c6fe4bf9f0825146d188acdb68273cf69cb515","observation_id":"13f5c210-58d2-4d68-bd4c-709f7ed78838","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Cowling, U","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:e31f90a0f345011c0481bcc61961620a76b4d1d2424c5a12534db7dcee497e46","observation_id":"b1c276fa-36c2-4994-9432-9b740db711af","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:b074e39e50c7996f8aa744823e74a5daf87f1807ebbe9f87ab594a7022e14852","observation_id":"b334648b-3675-44a6-a3ab-56750fbcf562","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:19d5526adc30a33280039e8d89685b76a037e8de180e1d4240b483ef970834c6","observation_id":"b89403a9-05cc-44a8-b536-1ad09f28ebb7","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Cogdell and Ilya Piatetski-Shapiro","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:9f851cac7a1655611c886e76b2bbb2e937a41eafee9bb25cd73c0eddaf6d169b","observation_id":"470ae2d7-82da-48c2-a452-0eb20afd0a0e","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"C * -algebras , volume Vol","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:80485477c5661a57ad8249ecee6d8670049a1cbf8d8b9c797c1c8c03f920b160","observation_id":"774427fe-87d6-4ccb-9994-8a503cac163a","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":null,"venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:d4955768cc5be22eb90bd4e9907ed1c1de8e72e0a306d25159ae8fb211789d80","observation_id":"6ab57060-4b50-4db4-bcc3-c0c118bebb9b","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":null,"venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:b391ee9b94114dfadc49df7eae2689751b0a6d7342081782a7007a85813baa24","observation_id":"bd98fabd-3025-403b-8e46-d8d3b26b6494","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Forms of GL(2) from the analytic point of view in automorphic forms, representations and l-functions, part i (proc","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:d339c2c31dbfcfcd3d5ceddf3f168cc64030a65861b99d5666e6db9022f05a42","observation_id":"0db8e4d3-2fdd-4c62-98cd-3e41b986ad07","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"S ubconvex bounds for automorphic L -functions and applications","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:16928f5e7ac2b527ae95c3d75f5d2f703de98d31e5fb23be3c264ad460b50f81","observation_id":"3770a383-283a-4599-804e-cdf934550855","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Coefficients of maass forms and the siegel zero","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:d430abfbeebf508cd0fdd220c4d780b234de3474b48de361495bab9eae976225","observation_id":"5eea741e-d3c4-420e-b902-51e56f73f65f","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"The subconvexity problem for R ankin- S elberg L -functions and equidistribution of H eegner points","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:a4b51501889279e74028b4b73bbdff1cd948fbb521f630dac97874bffb8e4256","observation_id":"294b65e9-8b74-42c3-87d1-b36bb5cd63f7","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Harris and A","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:9beaf9b5b8fe5ed40c147ee303db724834cb30eea50a9fa76b7e1e0f943d4564","observation_id":"5aaa1b3a-f90b-4975-b3a2-8561ec7e8863","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Inequalities for J acobi polynomials","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:cfa76c8bcff271c1451abf7d0d70cc7b66c91a9acc5a5d7d2d019d6cd7b96649","observation_id":"f98467c4-d6c9-4953-a48c-1bc22010b144","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Hida families and p -adic triple product L -functions","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:a84dc96a2d12b28c01f79a937b3b72827646451c655a785d87ba17244acc24d1","observation_id":"3850afe5-6bda-4f30-9a25-45e854f4c4bf","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"The spectral growth of automorphic L -functions","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:31f7c23724c551388823461a2b8fa65a1b015ae0290883f6adb8032fece94996","observation_id":"ffa7b346-aae5-4263-891d-452e05e89165","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Jacquet and R","venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:b5dbe13ff7cdb72e7d55a56cb39f969a8653b058a815b0531b2d8bc103fbf385","observation_id":"d62b8a71-3d87-43cb-962b-3672c8f157a5","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Automorphic forms on GL (3)","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:b44bb74b687185e2001670e03a5fc88a4a11ff33ce8524966f0bcb614cb0d3dc","observation_id":"213e19e5-1229-4a54-ac5e-e64707e13e4c","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Jacquet and D","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:5a20113f386c9121b9281f9887f2bcd14aca26dd21f44144ca3190f823a52a9f","observation_id":"01d411fc-5010-427c-aa2e-ee7c6e319fcc","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Kowalski, P","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:1ef87594b0ffff0d34014d6fc4f2936845c5523e5469a4c9a91aea72841c222e","observation_id":"ebcb20a2-d447-4b3a-ab6a-af3a8d969b14","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":null,"venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:544c15c617b2a164232e37d7371608c46d679baf3b7d10c354e0cc09565c9c0e","observation_id":"0707a90b-cfff-434c-b457-1044d56b38e6","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Refined estimates towards the ramanujan and selberg conjectures","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:16a14473c1a475f3a737fa4215825abe33cddad86243a780e08ed79693af38aa","observation_id":"6007203e-b9da-4cfd-aa17-0e19f63ef896","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Subconvexity for R ankin- S elberg L -functions of M aass forms","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:ccf3d11f14f0849a5eb1f60691a0a36c6c4403364df32666c17d9fb9d1d4eb35","observation_id":"db46de2f-2f81-4da3-9be5-946e50ab3f9a","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:c8f02c72a18bc6e43edfe22aa925a65a617195016696416b6608f3a3218e004c","observation_id":"f26b9de6-aa8b-460d-bb2e-def124902a5a","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Analytic number theory and families of automorphic L -functions","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:d9630e12c9e95ae18db44196eab25ca81fa7707079c4ebcf4815f10423238772","observation_id":"62c93cf2-a6bf-4dd3-b9c9-dab7338de611","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Whittaker functions associated to newforms for GL(n) over p -adic fields","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:3b041d407228908ac5e8e7ca0614417dc5c552ffd92599a1c11932666697ec90","observation_id":"ea6a85a9-d8f1-46f4-8a9a-b4caaacb47df","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"The local zeta integrals for GL(2, C ) GL(2, C )","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:80cbbfb6f2662e28149fd0c03ebe4d9f2f2a933b06eafef164716d50e1562f2d","observation_id":"b289c75c-6f54-4e50-a475-1469a140342d","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Formulas and theorems for the special functions of mathematical physics , volume Band 52 of Die Grundlehren der mathematischen Wissenschaften","venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:bd2e44708af2eee9ccc9bfc83eab349200961bbe111b88091c835a0d6df8dcc4","observation_id":"c4d82a84-ffe9-47fe-becd-7c36d3b5dc82","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Equidistribution, L -functions and ergodic theory: on some problems of Y u.\\ L innik","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:5a0eca6d1ef7f72a5b500a5240129f4e205fe30eca5d074bac964f84066ab7d9","observation_id":"df1bd001-b66e-4346-8ae2-5b99f5be9f13","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"The subconvexity problem for GL _2","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:e434046f17111d08d9e0413f6a427a22649c27125992503d1f4aa235fd8c414e","observation_id":"8b74376c-32c9-4029-9a2f-e39d6989e373","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Central L -values and toric periods for GL (2)","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:d0319b8e21cd91b2e1768c37d3ac113fab37f93a0331829216867bb29ed1cca4","observation_id":"998f1701-b531-436b-8d2c-1f200ed0c261","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:a4aecded36b03f63a0e2aead28c7c7344beef3e2d3a4a926051be332274f3cc3","observation_id":"f9a4931c-a1ed-4526-b754-f8e9b11e9b93","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Nelson, Ameya Pitale, and Abhishek Saha","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:42ec1d39fb0dfa793914efc4e75cf53885376ec03ecb9ec34fa39914eb0f1bb4","observation_id":"72fe8281-743b-44d7-b868-9a51f9373d30","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Upper bound on x J_ (x) and its applications","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:e9d4c6293320bbcb4eb36d1d384e7886afa70ca3db90c1661233786b1d57a7ba","observation_id":"6054e616-2c4b-451f-be47-27e9b9484de7","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:8a41ffadcf6460fe94512596dede10965097384d4f38bbbaaec8e61428681fab","observation_id":"f92cddbb-90c7-453c-8455-fee5b76347da","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Trilinear forms for representations of GL (2) and local -factors","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:574968a362f67b70444e4da249f8ec2ddb1d799330bee3f391390ddd7bc8138d","observation_id":"e8c6e087-d41e-458b-b5a9-295f044284ec","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Theory of fundamental B essel functions of high rank","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:a76c7e03bf029d27fde168b3db5c92e738a7561c9bce88177a6d43631f6d5d05","observation_id":"9cced822-78b9-4c9e-9853-ffa5f619fbe2","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"The behaviour of eigenstates of arithmetic hyperbolic manifolds","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:42fd3eac6fc6ce374767da67c9bb27c491dc75e1a41cfa8b5901830b70d8ae0b","observation_id":"2823ca89-bf97-4dcc-8a18-3ee1830587a1","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Estimates for R ankin- S elberg L -functions and quantum unique ergodicity","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:d6e58668154fac64aefc0a8fbce70d23f7bb95e42af4e861ea71a3a614f5a698","observation_id":"99c2f8da-59d3-4792-93d6-a605f2216374","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Some remarks on local newforms for GL(2)","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:cd17baa2d7fee874675fcb98c71a947e847721ce238c43ca18e477293c07c11b","observation_id":"87a0405e-d60b-4b6b-93fa-3e6ee9d513b7","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"The formal degree of discrete series representations of central simple algebras over p -adic fields","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:09bf2139f0a79c257b4264fb9f4cb447b3315bc395e650b0151bf31f9a84a5cb","observation_id":"ef63bf8a-bc1c-4655-95f1-0d32c9a9daa3","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Orthogonal polynomials , volume Vol","venue":null,"work_id":null,"year":1959},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:213caaae1ceb80f2a6d0196c0ca05cdfea6de21d5bb238e6b21f244942ed2482","observation_id":"d5321521-5374-4259-b002-7bc5ad66bbc2","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Burgess-like subconvex bounds for GL _2 GL _1","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:e5324b250abd8aa51de0ce8ddc1852da2d551eb5b3cb48633c4e18460ff97c3b","observation_id":"c943c1f1-33ef-4589-992f-d5c55449b414","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Average of D irichlet coefficients of cuspidal representations related to GL (2)","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:43ab966b1866f33ddab8d75cba4a1407ec4aeb5767c2fe86d52eeb2f455451e2","observation_id":"e352679d-8f2d-49f2-8805-fd256bdff9e7","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","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":"2512.03305","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-03T07:57:45.378756Z","title":"Spectral reciprocity: A F ourier--analytic approach","venue":null,"work_id":"573bd940-a8e0-4cfc-997b-e074444b56d3","year":2025},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:f133a447644acab498fd04c3ba8dc6c00b03b3b1f57cbab73a618c9d1bb5789d","observation_id":"946d1829-ba53-4f33-b113-13ea221cee12","resolution":{"observed_at":"2026-07-03T07:57:45.380322Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2305.10719","last_updated":"2023-05-18T05:32:19Z","snapshot_observed_at":"2026-08-16T15:32:07.621816Z","submitted_at":"2023-05-18T05:32:19Z","title":"Relative Trace Formula and Twisted $L$-functions: the Burgess Bound","version":1},"cited_work":{"arxiv_id":"2305.10719","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2305.10719","snapshot_observed_at":"2026-07-03T07:57:45.381559Z","title":"Relative trace formula and twistedL-functions: the Burgess bound","venue":null,"work_id":"d153de0a-e4a6-4615-8754-9b1b3d348caa","year":2026},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"cited_paper":"/paper/2305.10719","citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:046f5f46baa8df57e2890a3db185a13d1df06db712efa8b544b415b48c863099","observation_id":"830cbcf9-d88a-41b6-8cc6-9006be773202","resolution":{"observed_at":"2026-07-03T07:57:45.383049Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-06-27T11:17:51.996303Z","title":"Symmetric spectral reciprocity and uniform subconvexity for GL(2)","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:f203321632a1c8fa0e80e70eedef2c44b8015b2d831564dc49f815b973e1b656","observation_id":"a8b611d4-15c6-4268-99a7-c712b0c2f7b4","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Periods and reciprocity ii, 2020","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:12246b5ff6a39e13df337de0305f60d7fad25447371f812a22e0865906fda05c","observation_id":"49ac97e9-8947-495f-ae43-8d23657dcb23","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Equidistribution of CM -points on quaternion S himura varieties","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:7ca4bb55ca8ca3cfad9282a39aba3c65120c6a71b0bc61aa34ff69f2796c4271","observation_id":"fe030f97-75e7-46f1-85da-03ca3a07e3a2","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T11:17:51.996303Z","title":"Comparison of GL_N and division algebra representations ii","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-06-27T11:17:51.996303Z"},"links":{"citing_paper":"/paper/2606.11451"},"observation_digest":"sha256:d4d8b85520c763e2820273a1fcf5f0c0d9f056406a4bdb210ff04bc4e74a1571","observation_id":"62df9dbe-73f4-4cdd-8693-271b8232e413","resolution":{"observed_at":"2026-06-27T11:17:51.996303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.11451","last_updated":"2026-06-09T21:03:33Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-07T02:50:31.334204Z","submitted_at":"2026-06-09T21:03:33Z","title":"Rankin--Selberg Subconvexity via Spectral Reciprocity"},"reference_resolution":{"displayed":54,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":51,"verified_exact":3,"verified_fuzzy":0},"total_outbound_references":54},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 0 inbound Pith citation observations for arXiv:2606.11451."}