{"as_of":"2026-08-09T01:04:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ee5452abe52505f398a6b70ae5f1b6a8eff8b12a1855812ae2e26185b65ab1a0","coverage":[{"denominator":38,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":38,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T20:29:15.073363Z","state":"measured"},{"denominator":38,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":38,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2606.07143/citation-record","integrity":"/paper/2606.07143/integrity","json":"/paper/2606.07143/citation-record.json","paper":"/paper/2606.07143"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T20:29:15.073363Z","title":"Bak and A","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:e50d2600258b235264dce091715ad220149dc4ea3e81a9b8cd3179562a48dd08","observation_id":"d86e0873-1704-4f8f-a9e3-05968773e011","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","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":"2026-06-27T20:29:15.073363Z","title":"Barral and D.-J","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:4e74cdd0c5f27e66092d592b3702aee2edd12be943ace05852413d1c2d6e6ba2","observation_id":"edad89d5-73ef-4746-822f-9d19234ff9b1","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","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":"2026-06-27T20:29:15.073363Z","title":"Carnovale, J","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:cdcafbcaba3ddf14ee8c2c4d416f4337ad5f7cb56354057776ebcc52c06f15ee","observation_id":"9339c146-bd7d-4103-9adc-83c20fc04ce2","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.14896","last_updated":"2025-01-20T09:52:56Z","snapshot_observed_at":"2026-07-06T20:10:08.781784Z","submitted_at":"2024-12-19T14:26:28Z","title":"$L^2$ restriction estimates from the Fourier spectrum","version":2},"cited_work":{"arxiv_id":"2412.14896","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.14896","snapshot_observed_at":"2026-07-02T20:27:22.214301Z","title":"Carnovale, J","venue":null,"work_id":"f6284da9-8eda-46b5-8f1c-2aa907d060e0","year":2025},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"cited_paper":"/paper/2412.14896","citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:33b66b73011b64ed59c1fa431f258074d46be614699c5917fb28685225ebc015","observation_id":"ea59cf56-207f-40ad-b76f-3c478781efeb","resolution":{"observed_at":"2026-07-02T20:27:22.217027Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-27T20:29:15.073363Z","title":null,"venue":null,"work_id":null,"year":1959},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:3ce1f3be0ee5c21d93b3c4452e713364fd2375ba6326530592866e9ce78728c9","observation_id":"7e150889-93c7-48fb-ba28-fd9c123d2f6d","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.13164","last_updated":"2025-06-11T01:42:10Z","snapshot_observed_at":"2026-07-06T19:18:27.644746Z","submitted_at":"2024-09-20T02:36:23Z","title":"Harmonic analysis of Mandelbrot cascades -- in the context of vector-valued martingales","version":3},"cited_work":{"arxiv_id":"2409.13164","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.13164","snapshot_observed_at":"2026-07-04T00:19:12.744568Z","title":null,"venue":null,"work_id":"afb63845-4fb5-4c82-92aa-2a49af489e04","year":2025},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"cited_paper":"/paper/2409.13164","citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:9a71409de87d5b3f4bede00e67a22a424a9fbc6c7b4e057cc57cc5d7356492b9","observation_id":"8c7f4de4-aa50-4684-84c2-c70f3b63f642","resolution":{"observed_at":"2026-07-02T20:27:22.219670Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-27T20:29:15.073363Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:069b6a0f0a652cd0e899cd31a3912f9e72f6c323ac9baa89a433d37eb5d8543d","observation_id":"2ed54140-99f3-4005-ba3f-41eae5d9cb09","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","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":"2026-06-27T20:29:15.073363Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:6144c867898f3eb27cfe01ff8f97114df67141f0f30501198e1196b46263925c","observation_id":"7981e4e6-f87c-43c5-9790-ec560b793d53","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","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":"2026-06-27T20:29:15.073363Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:b6b743197a291ce110a8e1cd56fa7f8f429adcc0c97b01c72d7cd4c3e43313de","observation_id":"63779865-58a8-49fc-bfb0-052bf21f402a","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","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":"2026-06-27T20:29:15.073363Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:858fed958e79fc6c65df23f0db4948785286d07e85708452792ed032dccc1865","observation_id":"49a8ceae-c4d8-404a-96be-64ca80162597","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","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":"2026-06-27T20:29:15.073363Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:6147d3a5fcdb845a425fff673b5fffa6c0c93c06dcc4ebeb144fd9e1ee212f3b","observation_id":"c4eb4b29-2cfe-44e5-82f4-7f016ca95fed","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","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":"2026-06-27T20:29:15.073363Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:aa0de08964d53f6b05e460e83a983715e6ca4295105e6f25c4f6691b220dfd00","observation_id":"5ad676c4-ef8f-4e11-8c76-e33294f26021","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.11179","last_updated":"2024-06-20T08:43:41Z","snapshot_observed_at":"2026-07-06T18:01:27.562276Z","submitted_at":"2024-04-17T08:50:24Z","title":"A Fourier analytic approach to exceptional set estimates for orthogonal projections","version":3},"cited_work":{"arxiv_id":"2404.11179","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.11179","snapshot_observed_at":"2026-07-02T20:27:22.218337Z","title":null,"venue":null,"work_id":"6f7e5fca-4fa3-4738-86a7-71c09d93c2fd","year":2024},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"cited_paper":"/paper/2404.11179","citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:e8875b8e20b6eba1db2ddd4e55c928fba55e565fcc4c9ebd35f1e4f6db457807","observation_id":"2037e22a-5a4c-4479-82dd-20fd4b30726a","resolution":{"observed_at":"2026-07-02T20:27:22.221217Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2601.05802","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-02T20:27:22.211854Z","title":null,"venue":null,"work_id":"93d721f5-a9c8-4902-8bcb-ff78973c7d7a","year":2024},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:7a95dcf1fa54ae1d5000b2233804a420bec634edb117154ce1c1316e33af5227","observation_id":"286561eb-af72-40de-b2f6-a19260514b0e","resolution":{"observed_at":"2026-07-02T20:27:22.213298Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2604.19486","last_updated":"2026-04-21T14:08:58Z","snapshot_observed_at":"2026-07-06T23:06:07.161558Z","submitted_at":"2026-04-21T14:08:58Z","title":"On Fourier decay and the distance set problem","version":1},"cited_work":{"arxiv_id":"2604.19486","doi":null,"metadata_source":"pith","pith_arxiv_id":"2604.19486","snapshot_observed_at":"2026-07-02T20:27:22.214550Z","title":"On Fourier decay and the distance set problem","venue":"math.CA","work_id":"4b917151-4f18-4b06-bca5-53856fc6fc68","year":2026},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"cited_paper":"/paper/2604.19486","citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:73597f98785b8d4430931b38b7010f65b5e0ef478e563541b47206de9c8cdcb3","observation_id":"89cffcc0-50ac-44d6-8ae0-18bad03e78b5","resolution":{"observed_at":"2026-07-02T20:27:22.216162Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-27T20:29:15.073363Z","title":"Fraser, K","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:d2aaffb329f6093389f696212de77041a162980b06dab1cf71a803df9545cd80","observation_id":"cd274395-0388-48df-8937-e2458dbd7531","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.19526","last_updated":"2025-05-26T05:25:47Z","snapshot_observed_at":"2026-08-07T14:09:49.210191Z","submitted_at":"2025-05-26T05:25:47Z","title":"Sharpness of the Mockenhaupt-Mitsis-Bak-Seeger Fourier restriction theorem in all dimensions","version":1},"cited_work":{"arxiv_id":"2505.19526","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.19526","snapshot_observed_at":"2026-07-02T20:27:22.223327Z","title":"Fraser, K","venue":null,"work_id":"e21290aa-a2ff-4479-8206-1b9d60aa536a","year":2025},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"cited_paper":"/paper/2505.19526","citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:255a819d8aa0d0a97322ff3ec0889c0a95b1b25a70b99ac4bff0ab5cf8f84adb","observation_id":"be88d956-4ec9-4bd4-b3be-75197593014b","resolution":{"observed_at":"2026-07-02T20:27:22.225069Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-27T20:29:15.073363Z","title":"Grafakos","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:b0ccac1de54eb18b545988c578e8cc53c783a990c91d544a5a81b5c4a6092631","observation_id":"47360e48-2955-4da9-b801-89157dc9616c","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","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":"2026-06-27T20:29:15.073363Z","title":"Heurteaux","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:9f45558e35cbac0384d452cd90604a1f882830cd0c91c5a5c8e23302dc49e20d","observation_id":"91a2d397-feae-4d3c-8e06-244d531168be","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","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":"2026-06-27T20:29:15.073363Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:aad37e82e6cc9097d02b2687e993cdb70941743ccd9389c88fb700a1878ff120","observation_id":"ce747ec8-2380-4632-9e54-dc620068d7ad","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","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":"2026-06-27T20:29:15.073363Z","title":"Hambrook and I","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:21e42ca20d2d418e08a47d481498d5e66972c1673faeb30a65d04b81280f1599","observation_id":"6e1b5ad2-8866-4aa5-80c7-09cb04ad20a9","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","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":"2026-06-27T20:29:15.073363Z","title":"Hambrook and I","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:36400fea3a3cebc40443424309371c25288d1b2db07dccabc0cc1c78337f52d8","observation_id":"0a375927-deba-4f04-a4ca-9fafcd1452aa","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","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":"2026-06-27T20:29:15.073363Z","title":"Kaufmann","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:a2931c3706534e828856cee33191fe1949fb18da60f105e03a9d246f00ce1872","observation_id":"c560b267-bb2b-472a-b69f-a19e14842203","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.09032","last_updated":"2026-05-20T08:35:02Z","snapshot_observed_at":"2026-07-06T20:35:49.677643Z","submitted_at":"2025-02-13T07:37:52Z","title":"Fourier dimension of the graph of fractional Brownian motion with $H \\ge 1/2$","version":3},"cited_work":{"arxiv_id":"2502.09032","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.09032","snapshot_observed_at":"2026-07-02T20:27:22.206373Z","title":"Fourier dimension of the graph of fractional Brownian motion with $H \\ge 1/2$","venue":"math.PR","work_id":"2a31578a-1088-4dee-b0c7-c20358d352ac","year":2025},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"cited_paper":"/paper/2502.09032","citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:942f24703948a9b066e7911098b371fe61ae50e10510d0fd3f0711f22e2d5a92","observation_id":"822e5114-456e-4a9e-82d9-56de03a5bf28","resolution":{"observed_at":"2026-07-02T20:27:22.207655Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-27T20:29:15.073363Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:e2de50614611383bf1a184c7abe1b49d18d9c3ae84bcd0bc4b4a4e76670d766b","observation_id":"5919cf5e-150f-47cf-87c8-b333c46a2294","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","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":"2026-06-27T20:29:15.073363Z","title":null,"venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:fc1fca65cdd91e50ca0bd372ca8a9394c856f7495887d033619c87721eb3de91","observation_id":"60f18dd6-3508-41ca-b095-3261223bc828","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","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":"2026-06-27T20:29:15.073363Z","title":"Mockenhaupt","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:c944cc2b628b7cccdfe8dfb452688b6e686b4b6082d93e7a086d3ba204c4d184","observation_id":"e9f584aa-f2dd-4445-bb10-a4c835b8cae0","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","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":"2026-06-27T20:29:15.073363Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:38d220c92eef31636ac412fc5ccf7095f4ca20d706468b71f9138733c547d5c1","observation_id":"2eb4dbfa-9525-487f-9f07-4b9f3d20082e","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","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":"2026-06-27T20:29:15.073363Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:8f377ad305ad4572cb11637125a9b94d29fd0f56b0670b3bab906d4c8e2b9843","observation_id":"9183b6b2-a7c1-44fd-8ed4-2315d7fdcd9f","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","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":"2026-06-27T20:29:15.073363Z","title":null,"venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:ab74ef1e3a17ab9dffb667f3e9b44e9f27803331d7603e76a89bbc13bc323c5c","observation_id":"f6e11eb6-83ac-45cd-acdf-e5e8a78aa7a9","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-07T17:57:30.438769Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"cited_work":{"arxiv_id":"2602.08568","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2602.08568","snapshot_observed_at":"2026-07-30T02:04:33.070368Z","title":"Oliveira and A","venue":null,"work_id":"cf01f837-204b-4588-b743-fc9374b39755","year":2026},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"cited_paper":"/paper/2602.08568","citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:4cc00bc18f9e66212b188cfd4187638c4947e4ddf782302a60373b7b9e55f36d","observation_id":"00b91600-2a88-4df5-8205-2dd9920dc0b0","resolution":{"observed_at":"2026-07-30T02:04:33.070368Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-06-27T20:29:15.073363Z","title":"Peres and B","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:2dd8b248d3aad3f71030abba9251ff3e731305249c3386e4d8b626372f06c162","observation_id":"79ce2c21-0b36-4512-976a-94fb8eb566cf","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","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":"2026-06-27T20:29:15.073363Z","title":null,"venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:9ee1f04654586d47ae90f0450fbe459d286d29da2ff29dd3fb85135e950c2478","observation_id":"4f79b9c5-600a-4af0-9075-88b9357ebc5f","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","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":"2026-06-27T20:29:15.073363Z","title":null,"venue":null,"work_id":null,"year":1951},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:19a47442395bef947e5f407722691e5c13d9f8696a73684ab63bf2a533bcd7ef","observation_id":"c7c36bf3-5d6f-46b8-9985-aa875fb67170","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","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":"2026-06-27T20:29:15.073363Z","title":"Shmerkin","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:ad4a82ca11438132caf63c7332b2dbf510280ebec489825400b2edc8188296fc","observation_id":"dcf91094-fe1a-4132-8ca6-6c109dd7761a","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","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":"2026-06-27T20:29:15.073363Z","title":null,"venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:5d4e0f009a6f6d6a884a3397a1b79589f24871c1a792b56f2c3b4d73db040511","observation_id":"1011a1d7-afa5-420f-a134-4d164f900730","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","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":"2026-06-27T20:29:15.073363Z","title":null,"venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:7ed5d5898aa68020a5eb343156e01dd967ce86857990c1e624935d1c97db203a","observation_id":"374e0575-6511-4604-9c5a-86531efe56ac","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","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":"2026-06-27T20:29:15.073363Z","title":null,"venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-06-27T20:29:15.073363Z"},"links":{"citing_paper":"/paper/2606.07143"},"observation_digest":"sha256:37b3e3dc92bae862c6d4a44209e641e2a33c8f6a3a15416e990a054046c7942f","observation_id":"abb56f6b-6837-447d-971e-1eeb59f61f42","resolution":{"observed_at":"2026-06-27T20:29:15.073363Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.07143","last_updated":"2026-06-05T10:56:49Z","latest_version":1,"primary_category":"math.CA","snapshot_observed_at":"2026-08-05T10:58:18.622546Z","submitted_at":"2026-06-05T10:56:49Z","title":"Fourier restriction estimates based on $L^q$-dimensions: beyond Stein--Tomas"},"reference_resolution":{"displayed":38,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":30,"verified_exact":8,"verified_fuzzy":0},"total_outbound_references":38},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2606.07143."}