{"as_of":"2026-08-17T02:39:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:736bc1d7f1c2a543a36c99a498df8f44a7ef4f8ea2f04c6098d303ffc4c886c9","coverage":[{"denominator":46,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":46,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T15:33:04.056594Z","state":"measured"},{"denominator":47,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":47,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T15:57:34.891601Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-03T02:27:34.615566Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"cited_work":{"arxiv_id":"2505.15492","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.15492","snapshot_observed_at":"2026-07-03T02:27:34.615566Z","title":"Damping oscillatory integrals of convex analytic functions.arXiv preprint arXiv:2505.15492, 2025","venue":null,"work_id":"c280acc1-eaf3-4bd0-b495-12c479686fd7","year":2025},"citing_paper":{"arxiv_id":"2606.09280","last_updated":"2026-08-13T07:03:43Z","snapshot_observed_at":"2026-08-16T23:09:41.654479Z","submitted_at":"2026-06-08T09:46:06Z","title":"The effect of geometric focusing on dispersive estimates for the Schr\\\"odinger and wave equations","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-06-27T15:57:34.891601Z"},"links":{"cited_paper":"/paper/2505.15492","citing_paper":"/paper/2606.09280"},"observation_digest":"sha256:4fa5f685a706ab190127ba831ff35ea0d98ec2a400561562da537f430b2ef5a2","observation_id":"21687cab-368c-47d3-94f9-5c4fd5d1db25","resolution":{"observed_at":"2026-07-03T02:27:34.617249Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2505.15492/citation-record","integrity":"/paper/2505.15492/integrity","json":"/paper/2505.15492/citation-record.json","paper":"/paper/2505.15492"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4171/jems/1506","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Journal of the European Mathematical Society","work_id":"9cea983b-e27f-4272-b48b-119762360407","year":2024},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:00.994165Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:0c4c6be0c92b9673849c56d14aceabc8f3ce205cfbe8390b1c89e2ebf9ff3021","observation_id":"cc5b3615-8c2c-4697-998d-259cc1f469fa","resolution":{"observed_at":"2026-08-07T15:33:04.193892Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:11.409509Z","title":null,"venue":null,"work_id":"245c93d1-884c-4b89-a5dd-cbdb3df12ee3","year":2021},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:01.039965Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:a9ea2cf773d5b4de00a00c65739166c41b8793586e8cd4a6b8e118f8ba398591","observation_id":"32ce2354-770a-4edd-b968-6745dd6a5111","resolution":{"observed_at":"2026-08-07T15:33:11.485149Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:11.226974Z","title":"Bourgain,Averages in the plane over convex curves and maximal operators, J","venue":null,"work_id":"80ff969b-4199-42ec-95f6-5784e57079c2","year":1986},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:01.133209Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:27cc54966f20b4fcd9140bfd1a2d9df5c783921ec6a1f7f9d06d8cedc45cf780","observation_id":"fb4e3642-e882-4f51-89db-5c3ad43f15e2","resolution":{"observed_at":"2026-08-07T15:33:11.309707Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:11.060758Z","title":"Bruna, A","venue":null,"work_id":"d6c2b9b3-b875-4f86-bd10-6f0337b1fff0","year":1988},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:01.180933Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:514970dd824841c01523cb95da911f9a5870f108791dfee8df51bf707719ee7c","observation_id":"f4ff65ba-bd7a-4879-9bd2-2abd9102d231","resolution":{"observed_at":"2026-08-07T15:33:11.146363Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:10.943191Z","title":"Carbery, M","venue":null,"work_id":"f58ca407-0bd4-405e-ac0a-5649c64be6f9","year":1999},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:01.305262Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:59c27d03e2cdacda093af12259cd112f2f6263548e902f286275e219ae2e4888","observation_id":"7e9ac170-72ea-4672-ae3d-7bf5b148d83b","resolution":{"observed_at":"2026-08-07T15:33:10.979884Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:10.785373Z","title":"Carbery, C","venue":null,"work_id":"73b0345f-830d-45f1-a8a5-64d2a7e60df3","year":2012},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:01.364476Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:79182df5cb74e136f46b1ecf4198b0ec080491797e69646464f61c0d010c4e70","observation_id":"418a6884-1a1b-459b-b68c-e54fdcbbbf15","resolution":{"observed_at":"2026-08-07T15:33:10.860133Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:10.641851Z","title":"Carbery, S","venue":null,"work_id":"1d68ab82-37dc-4205-bc14-186c558473eb","year":2002},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:01.395146Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:43173316302b4cf80350f366813b2393877fc4ca54e1c9e204bbcff895f4fd70","observation_id":"6e104fb7-f225-44c4-8506-74020f448c63","resolution":{"observed_at":"2026-08-07T15:33:10.721854Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:10.518648Z","title":"Cluckers, D","venue":null,"work_id":"89147959-9870-49dd-8601-7fe59630c867","year":2011},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:01.436496Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:e7e4fa3bcea5303be18478005d213e6f15907c1adee57393f20b0ec0f0e672f0","observation_id":"aab2abed-28e6-4b51-854a-45f7a21b9138","resolution":{"observed_at":"2026-08-07T15:33:10.568022Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:10.371772Z","title":"Cowling, G","venue":null,"work_id":"f1fd5996-a7db-4f0d-bb5d-76e8f0f899cf","year":1986},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:01.548840Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:4f0175a85c8ed9942158fa3de99d08d13895e41ee08b60bafb20d0d09f88fa2f","observation_id":"8802a8e7-74d6-4c3f-8d81-eed11476bff2","resolution":{"observed_at":"2026-08-07T15:33:10.451153Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:10.248657Z","title":null,"venue":null,"work_id":"7fbc90a2-73ae-4907-9546-27648e9e6bc5","year":1987},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:01.591674Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:e84124ff5e0ea65fb30bede09625a5d5f08e2d84526e5a4baf786339a11de7bc","observation_id":"08794e20-3b1c-4f5e-ad32-8737f530e037","resolution":{"observed_at":"2026-08-07T15:33:10.306182Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:10.145086Z","title":"Cowling, S","venue":null,"work_id":"24948524-d91e-4e3b-bbdf-5b82cf430dd3","year":1990},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:01.724203Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:e18994caa1f3e14371f3ea25907c20c8d9eb435d4f73d775585ec328f72b5022","observation_id":"f73f45a1-70c5-4a68-80f4-4f052ed83feb","resolution":{"observed_at":"2026-08-07T15:33:10.207462Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:10.022114Z","title":"Dieudonn´ e,Sur un th´ eor` eme de Glaeser, Journal d’Analyse Math´ ematique,23(1970), 85–88","venue":null,"work_id":"762a53d3-4289-4378-ac56-48ce4f27efa3","year":1970},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:01.769860Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:2f7c1c236183eadf19a3c818f4a893aa69c90ebb5e22b4d49c7f7bb17c3d0ea1","observation_id":"9019a179-e680-43a8-8c8e-c57599a6cfdf","resolution":{"observed_at":"2026-08-07T15:33:10.081395Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:09.837640Z","title":"van den Dries,Tame topology and o-minimal structures,London Mathematical Society Lecture note Series, 248, Cambridge University Press, 1998","venue":null,"work_id":"80df9d96-2526-4beb-ad32-62caaf84ed3e","year":1998},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:01.882105Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:1e8b839e461fb9c2cdf603cc9a332917748d212c68716b0502e357a9760bac78","observation_id":"8cd3a837-88fd-4bab-b1ea-465bdda6fa72","resolution":{"observed_at":"2026-08-07T15:33:09.957041Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:09.666980Z","title":"van den Dries, A","venue":null,"work_id":"f07ff004-4986-4bd0-9415-29c335b4833d","year":1994},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:01.941330Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:e9102c9c3c5e3dcd6da8f43d38405ad1340af36672f546bd5741b26d20422667","observation_id":"7d6d5e5b-934d-4f71-ac36-b5632f01b32a","resolution":{"observed_at":"2026-08-07T15:33:09.739256Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:09.464895Z","title":"Glaeser,Racine carr´ ee d’une fonction diff´ erentiable, Ann","venue":null,"work_id":"851e69cc-37dd-4bd5-bc6a-8599fa7b54a6","year":1963},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:02.013932Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:dda11e1cb287e486cce72bf947013a5ad564f57aac183809611b83baff0cb106","observation_id":"c730eef9-a13a-4502-88d3-dd3c799f79b5","resolution":{"observed_at":"2026-08-07T15:33:09.571476Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2111.05395","last_updated":"2021-11-09T20:06:39Z","snapshot_observed_at":"2026-08-16T17:42:54.394988Z","submitted_at":"2021-11-09T20:06:39Z","title":"Uniform Oscillatory Integral estimates for Convex Phases via Sublevel Set estimates","version":1},"cited_work":{"arxiv_id":"2111.05395","doi":null,"metadata_source":"pith","pith_arxiv_id":"2111.05395","snapshot_observed_at":"2026-08-07T15:33:04.458009Z","title":"Uniform Oscillatory Integral estimates for Convex Phases via Sublevel Set estimates","venue":"math.CA","work_id":"c1a2a22b-2546-4c68-b8cf-ddeead71f9b0","year":2021},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:02.108711Z"},"links":{"cited_paper":"/paper/2111.05395","citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:5aedaf3d50301c1a7dd71b5f3e4ec5f8e528d16223fe5b8ee3f7ee615eda8fd0","observation_id":"f3b78ac1-aadf-437c-baa5-697d24e96f03","resolution":{"observed_at":"2026-08-07T15:33:04.573115Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.16636","last_updated":"2024-09-28T22:39:23Z","snapshot_observed_at":"2026-08-16T14:15:17.135225Z","submitted_at":"2024-02-26T15:06:21Z","title":"Convexity, Fourier transforms, and lattice point discrepancy","version":3},"cited_work":{"arxiv_id":"2402.16636","doi":null,"metadata_source":"pith","pith_arxiv_id":"2402.16636","snapshot_observed_at":"2026-08-07T15:33:04.364641Z","title":"Convexity, Fourier transforms, and lattice point discrepancy","venue":"math.CA","work_id":"359a5f90-1c83-4ca5-b98d-d47fbd01cd29","year":2024},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:02.178095Z"},"links":{"cited_paper":"/paper/2402.16636","citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:79183f26cb3eaebc529507ec99c63e22f9d1ff0b682839556c5d5607569e3802","observation_id":"f9b15564-de17-4348-9826-24654533d0fc","resolution":{"observed_at":"2026-08-07T15:33:04.410898Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:09.280573Z","title":"Greenleaf,Principal curvature and harmonic analysis, Indiana Univ","venue":null,"work_id":"b1de19de-a7fd-43b7-95f6-6685e318cc6e","year":1981},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:02.259026Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:c67d1f46691fb2894fdb84ec759e79f03c35586e307991a210b8222757f40789","observation_id":"7ff50b83-97b5-48d2-9017-528152976d3c","resolution":{"observed_at":"2026-08-07T15:33:09.358428Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:09.110779Z","title":"H¨ ormander,The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis, 2nd ed., Springer-Verlag, Berlin (1990)","venue":null,"work_id":"6f8b8b03-a066-45cb-975e-9f60b8e16bba","year":1990},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:02.321239Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:ec1884974f75719c9d03ae429f1a9957b48f18dc335fc9c6734021bf347b189b","observation_id":"22368ce9-cd7b-49f4-bfda-0dbeb13c2733","resolution":{"observed_at":"2026-08-07T15:33:09.197162Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:08.926161Z","title":"Zametki78(2005), 833–852; translation in Math","venue":null,"work_id":"073623d6-f41b-4968-a688-f8485f4115fa","year":2005},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:02.370076Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:0a4544167ce8c871f05ca5b384063721cc47bd6a4ed663beb706a611e5462dcc","observation_id":"efd7cda5-c514-4780-9d28-944c1ba2c7af","resolution":{"observed_at":"2026-08-07T15:33:09.028186Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:08.762920Z","title":null,"venue":null,"work_id":"b05984ac-313c-441a-b2dd-5e9e895292fa","year":2018},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:02.474222Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:22fd44a3ff66bbb54d4915e7fa8a9cab04e6acf15ba6138e843aae8ccce40bd8","observation_id":"01f77f0b-de33-4682-845a-11197bcb2fe0","resolution":{"observed_at":"2026-08-07T15:33:08.851803Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:08.577591Z","title":"Iosevich,Fourier transform,L 2 restriction theorem, and scaling, Boll","venue":null,"work_id":"83defd15-74bb-436d-8203-902009463327","year":1999},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:02.523704Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:c1623166e15e8abf5f10e5e3c5f8935cbb2635d6838f129de4421d9a3a888046","observation_id":"e99e35e2-6de4-4752-8e67-65804ce60de1","resolution":{"observed_at":"2026-08-07T15:33:08.684946Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:08.423161Z","title":"Iosevich, E","venue":null,"work_id":"b11ea757-254b-4e91-ad81-5601dbd0ee0f","year":1996},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:02.564179Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:ba08b3620a7367a83a2b92d77a46c320fd39c4d5914cf47a323bf6a5a2b99f2d","observation_id":"6336e9ac-057e-4516-9e22-a12a0e9feb82","resolution":{"observed_at":"2026-08-07T15:33:08.498923Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:08.239118Z","title":"Math.132(1997), 46–119","venue":null,"work_id":"87d5fb8b-b64f-4fa2-b2e6-ff4858adf3c2","year":1997},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:02.679943Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:d018e31a1a30275ee8f63f1eef8f34fba9dd6b32ee1deabc925ec22cdfa1f643","observation_id":"dafe6863-fc96-43d5-941b-076f3ba77c29","resolution":{"observed_at":"2026-08-07T15:33:08.316133Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:08.048651Z","title":"Iosevich, E","venue":null,"work_id":"eb767481-a455-4a8c-83e3-b5c4df8f744c","year":1999},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:02.739789Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:34f3e7ba8720b148bd34b4ca0836ef3b495821550209c20ac205d0304eb75554","observation_id":"524791e6-b136-4402-bab6-a4f117b8dc1e","resolution":{"observed_at":"2026-08-07T15:33:08.152401Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:07.868529Z","title":"Kenig, G","venue":null,"work_id":"2951bf2d-0960-41e2-a5d4-103a33bf7a48","year":1991},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:02.797908Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:303a6f369a4602feac3076e8913e8fc9af569ac82e140d383d9a782ee8c21546","observation_id":"78667888-6ac3-4d92-a331-89f69e6f7f86","resolution":{"observed_at":"2026-08-07T15:33:07.937608Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:07.688824Z","title":"Kurdyka,On gradients of functions definable in o-minimal structures, Ann","venue":null,"work_id":"83969d4a-4c38-4455-9689-dd75e170b1da","year":1998},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:02.885934Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:9929b48a5beba01e1ce1e787bbbb2f6d56935de13708c2aadf88a3e1733a3ac2","observation_id":"0ffc7f08-3267-45c2-b580-d4bc9d65045f","resolution":{"observed_at":"2026-08-07T15:33:07.797456Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:07.522029Z","title":null,"venue":null,"work_id":"131858cb-5a6b-442d-a183-30374557b528","year":2024},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:02.931493Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:12b295eb798d6295cd7a4243d1085cfd222be6447e56548b8002bf623c4614a9","observation_id":"31cc6bff-cedc-4c90-b617-2e3688f6870d","resolution":{"observed_at":"2026-08-07T15:33:07.618662Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.15015","last_updated":"2024-11-07T18:03:41Z","snapshot_observed_at":"2026-08-16T16:20:50.755844Z","submitted_at":"2022-10-26T20:16:01Z","title":"$L^2$ affine Fourier restriction theorems for smooth surfaces in $\\mathbb{R}^3$","version":3},"cited_work":{"arxiv_id":"2210.15015","doi":null,"metadata_source":"pith","pith_arxiv_id":"2210.15015","snapshot_observed_at":"2026-08-07T15:33:04.234526Z","title":"$L^2$ affine Fourier restriction theorems for smooth surfaces in $\\mathbb{R}^3$","venue":"math.CA","work_id":"e9259f42-2a95-4fc3-8bea-df466b012770","year":2022},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:02.981825Z"},"links":{"cited_paper":"/paper/2210.15015","citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:ca29b2c28ada0afe01e4bedba5ee6a4dd1a02737b9d834317d9ac262380bfd50","observation_id":"199664bb-69b6-4291-823c-6ba3d2fdce18","resolution":{"observed_at":"2026-08-07T15:33:04.290523Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:07.345917Z","title":"Littman,L p–Lq-estimates for singular integral operators arising from hyperbolic equa- tions, Partial differential equations (Proc","venue":null,"work_id":"1f311ee1-b3ae-4c7b-9d6c-2312e1added0","year":1971},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:03.085601Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:1bb1f8775c9d75037b5b8566d85db6d289345b1551d876a5d18132f4fe10c696","observation_id":"152d91b3-1d09-4827-a912-627c7c56a801","resolution":{"observed_at":"2026-08-07T15:33:07.436128Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:07.238896Z","title":"Marletta,Maximal functions with mitigating factors in the plane, J","venue":null,"work_id":"bbbef1a2-f70a-4f65-a5f0-d3c7559c1145","year":1999},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:03.146178Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:d42cf5a4a6c33c6e068713cda2ac9c0be08952e6d956689b5a223834ee2e02f8","observation_id":"d1ff7281-4077-4820-8d1d-6ec53cb0fb8e","resolution":{"observed_at":"2026-08-07T15:33:07.263581Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:07.132718Z","title":"Nagel, A","venue":null,"work_id":"14e10c7d-2f04-4371-8bcc-3041972b4696","year":1993},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:03.194153Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:abcb7691f609ff10e3301359882287c06b5151e98fa2808c6947a7fb2cdd7478","observation_id":"06abe4cf-887b-4837-a276-57eebb4e2c4d","resolution":{"observed_at":"2026-08-07T15:33:07.206820Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:06.988938Z","title":"Oberlin,Convolution estimates for some measures on curves, Proc","venue":null,"work_id":"01ba3fff-fa25-423c-8614-6ec6da87b69d","year":1987},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:03.286869Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:be3b7f24bba0e00ce2c5517da413f490c20ff67849479231b62759c9f201506f","observation_id":"09ad9dd4-6e15-4c8f-8828-49defe973d7e","resolution":{"observed_at":"2026-08-07T15:33:07.040836Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:06.865764Z","title":"Scand.69(1991), 45–56","venue":null,"work_id":"84118664-9fa6-4569-b30a-e9d3d170151d","year":1991},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:03.342833Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:f54cc37615abc92515820b23e76e0250e08240808524b1c4378d51088d274cd0","observation_id":"86601043-e468-4961-a68b-bca8a28b0845","resolution":{"observed_at":"2026-08-07T15:33:06.949376Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:06.780222Z","title":null,"venue":null,"work_id":"e1f6ee70-bf3b-429f-ab2a-f3703bfc784f","year":2000},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:03.387981Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:5edbdce71cb81be50e599051190f4836a4cd79bd255718d3e864a1405e5dd8ea","observation_id":"d8fe5219-4e02-4453-b518-04fe5b554c3f","resolution":{"observed_at":"2026-08-07T15:33:06.804330Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:06.627177Z","title":null,"venue":null,"work_id":"8bc9faca-8bb5-4595-9d3a-3ca2a7cf2b6e","year":2004},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:03.463413Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:626b7ad499693ca9e325cb9d6bce3421a869298492c544e573c0c6c8ddb71f64","observation_id":"bfc9175a-dc1f-4649-baea-7966e87224f8","resolution":{"observed_at":"2026-08-07T15:33:06.715569Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:06.559463Z","title":"Palle,Strichartz estimates for mixed homogeneous surfaces in three dimensions, Anal","venue":null,"work_id":"2b9610e5-bc25-4630-ba45-56faeb439903","year":2023},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:03.510758Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:25b5127c2a54a864ad7e7142be5b5842ff8c872dd574dd1e9dc081f6b8486b67","observation_id":"bff62dd9-be7d-4297-a7c6-386e7e35e868","resolution":{"observed_at":"2026-08-07T15:33:06.591975Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:06.475962Z","title":"Schlag,L p →L q stimates for the circular maximal function, Ph.D","venue":null,"work_id":"bc52ecd8-bfa3-4538-98fe-5234737462d4","year":1996},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:03.562771Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:a5c8e4dd54ab71c789a8bd8912382f7289a42d076636eff23733ae77d6b263af","observation_id":"f62e26f6-bfb6-4668-bdad-a2e60df38bc5","resolution":{"observed_at":"2026-08-07T15:33:06.520739Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:06.293798Z","title":"Schulz,Convex hypersurfaces of finite type and the asymptotics of their Fourier trans- forms, Indiana Univ","venue":null,"work_id":"cfb00bd5-6493-4766-9c75-0c7115c3f9a2","year":1991},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:03.658777Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:60776da1ce91679f75ee3600e114d83a362f8c4eb23a15b295f407f642a59eb2","observation_id":"9d2a8301-91b3-4c2d-ab6c-6914badf6a6c","resolution":{"observed_at":"2026-08-07T15:33:06.383256Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:06.066891Z","title":"Shayya,An affine restriction estimate inR 3, Proc","venue":null,"work_id":"2e8fb934-15c9-45db-bc5c-30e0a3bd4621","year":2007},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:03.697564Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:fa8b63dbd4cb491c2f2b783f84f12857aa1d2ddb7f77839eab2fc17e2b6d6a0b","observation_id":"a1df86f1-073b-45f1-b9b2-a21a4bc0035f","resolution":{"observed_at":"2026-08-07T15:33:06.172604Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:05.811172Z","title":null,"venue":null,"work_id":"878cc30e-1869-44f4-bc00-4a4875f8791e","year":1985},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:03.737712Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:902a4718e62321b8aef04a695ad0c2f921e42e8a50e0273acb123e5d4fd8aa9f","observation_id":"62fb2067-652e-49da-bda0-d3e43e475d53","resolution":{"observed_at":"2026-08-07T15:33:05.922148Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:05.592498Z","title":null,"venue":null,"work_id":"16fc106d-c10f-46a5-ad5a-3f29bf6c6558","year":1976},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:03.793232Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:4d02ffb8743fe99a505c0f077fb2b0cc451845e2ff2659b9d023099fead441e2","observation_id":"8b2a6527-a8ca-4e39-87fa-2119d12f32ad","resolution":{"observed_at":"2026-08-07T15:33:05.712958Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:05.326809Z","title":"Stovall,Linear and bilinear restriction to certain rotationally symmetric hypersurfaces, Trans","venue":null,"work_id":"61ee746c-e16d-47d1-a4a6-4b0915b261f3","year":2017},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:03.854796Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:e56232de8a39d2f071d7ecf78aefc1dbac6ae45d55181578ba68507180879047","observation_id":"d100340e-e131-42e5-bd57-a267ac7bf0be","resolution":{"observed_at":"2026-08-07T15:33:05.447401Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:05.099389Z","title":null,"venue":null,"work_id":"004e956a-05fb-4a77-a947-4f098bdc348a","year":1993},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:03.921443Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:ee28ce3d0bb3f64eb3414234067c087b080821384e9df2add982120fd002916d","observation_id":"14f52630-c9f8-469f-89fb-82dc76a83bee","resolution":{"observed_at":"2026-08-07T15:33:05.186816Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:04.885717Z","title":null,"venue":null,"work_id":"cd5e0a47-fd8b-445a-8c61-541816ac6701","year":1971},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:04.009478Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:77447f5ade0104c6d45466735a487596b59c407ae9f1944a868474ee5adbb81b","observation_id":"0f7b6d69-566c-401d-81aa-e223e6943664","resolution":{"observed_at":"2026-08-07T15:33:05.001050Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-07T15:33:04.663900Z","title":"Tomas,A restriction theorem for the Fourier transform, Bull","venue":null,"work_id":"0878f713-35c0-460c-bda7-81a005837549","year":1975},"citing_paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T15:33:04.056594Z"},"links":{"citing_paper":"/paper/2505.15492"},"observation_digest":"sha256:b698ba330434b2437aa043be9d25ab91888651d116cd6baef237e54185a78bd3","observation_id":"03ae3ccd-1831-4876-b267-7fb194b8ade0","resolution":{"observed_at":"2026-08-07T15:33:04.784293Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.15492","last_updated":"2025-06-13T08:56:07Z","latest_version":2,"primary_category":"math.CA","snapshot_observed_at":"2026-08-07T15:14:25.235850Z","submitted_at":"2025-05-21T13:19:18Z","title":"Damping oscillatory Integrals of convex analytic functions"},"reference_resolution":{"displayed":46,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":10,"verified_exact":4,"verified_fuzzy":32},"total_outbound_references":46},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 1 inbound Pith citation observation for arXiv:2505.15492."}