{"as_of":"2026-08-13T08:14:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:605a8399a1c555401b3b6d8e01533eb5898422748ba01507110ef6d67a8b6a83","coverage":[{"denominator":44,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":44,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T03:24:14.363138Z","state":"measured"},{"denominator":45,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":45,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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":"2026-06-27T20:29:15.073363Z","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":"2026-07-02T20:27:22.208988Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","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:c7ee360e505f82a5e50938d16e2cf9fbd26e85f97ff7ba7d0bdd599205236b0f","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 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2602.08568/citation-record","integrity":"/paper/2602.08568/integrity","json":"/paper/2602.08568/citation-record.json","paper":"/paper/2602.08568"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T03:24:11.379574Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:11.379574Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:2092c9f3410e6385b04a55ca0dca370703abee224dfae57a151b6a3386a8af6d","observation_id":"8465db3d-3dbc-45b4-a30c-44f28bd629bb","resolution":{"observed_at":"2026-08-03T03:24:11.379574Z","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":"2026-08-03T03:24:11.416297Z","title":"Bennett, N","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:11.416297Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:f089327d8d056a7c6add2101fc7f22251d53808c15874c98bc794b07c555d277","observation_id":"bb9f6846-dcb6-4968-a44a-10b22074444d","resolution":{"observed_at":"2026-08-03T03:24:11.416297Z","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":"2026-08-03T03:24:11.501959Z","title":"Bennett, A","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:11.501959Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:791c8e44d5a239fc010e880e9db3bea66d05a7b8d3217fa8942d7d109c09dfed","observation_id":"d7be35bf-d5aa-497a-8acb-af98e40b9239","resolution":{"observed_at":"2026-08-03T03:24:11.501959Z","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":"2026-08-03T03:24:11.551053Z","title":"Bejenaru, The almost optimal multilinear restriction estimate for hypersurfaces with curvature: the case ofn−1 hypersurfaces inR n−1.Int","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:11.551053Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:ba8d1e21cff7fe0078834b8247509321d563c91686d21fa5bf88ab82182d34fd","observation_id":"b54bd5ed-1495-44c8-81f1-ad47e8ca5048","resolution":{"observed_at":"2026-08-03T03:24:11.551053Z","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":"2026-08-03T03:24:11.591409Z","title":"Bourgain, Besicovitch type maximal operators and applications to Fourier analysis.Geom","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:11.591409Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:78c770d7ffd03db11d298c1fae31270e2694a87e3a2f91632f7232712a92a1cb","observation_id":"0e135e79-2450-4f58-b17f-c944157260d2","resolution":{"observed_at":"2026-08-03T03:24:11.591409Z","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":"2026-08-03T03:24:11.641833Z","title":"Bak and A","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:11.641833Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:1567ecddc3a8c1f69cab22d7cdfcb311dad6e134a72a3024e427de62263fa885","observation_id":"849a89bf-00cf-44c7-b6da-9524418ce883","resolution":{"observed_at":"2026-08-03T03:24:11.641833Z","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":"2026-08-03T03:24:11.692895Z","title":"B´ ar´ any, K´ aroly Simon, and Boris Solomyak.Self-similar and self-affine sets and measures","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:11.692895Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:d50be4ad79781d441a30514c3c8af7627e9e76185ac55adfee77da10d80e3741","observation_id":"e9425e69-a484-488d-95ea-7c90bf30975d","resolution":{"observed_at":"2026-08-03T03:24:11.692895Z","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":"2026-08-11T11:47:14.369755Z","submitted_at":"2024-12-19T14:26:28Z","title":"$L^2$ restriction estimates from the Fourier spectrum","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.14896","snapshot_observed_at":"2026-08-03T03:24:11.742646Z","title":"Carnovale, J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:11.742646Z"},"links":{"cited_paper":"/paper/2412.14896","citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:885e426bd06edd6f51e5ce95e4856a43ecfa0365a29d5fd21c015cada7662600","observation_id":"93f06dfc-df69-4a91-9445-b2f1bd3e5c28","resolution":{"observed_at":"2026-08-03T03:24:11.742646Z","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":"2026-08-03T03:24:11.787623Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:11.787623Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:05ad1fdf8fcdcc66178463763622ecf4cf0e985d488920143a9c8542146eb6b3","observation_id":"d404cf16-b3f4-49b0-b160-01111729d942","resolution":{"observed_at":"2026-08-03T03:24:11.787623Z","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":"2026-08-03T03:24:11.832913Z","title":null,"venue":null,"work_id":null,"year":1959},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:11.832913Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:13074a4bf8ff1e61fc0b217c463b6cb43fb9edb8dc71f1d63a4f679271bf654c","observation_id":"901d29ce-8516-41c1-a2da-fe3c3e9a4217","resolution":{"observed_at":"2026-08-03T03:24:11.832913Z","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":"2026-08-03T03:24:11.885989Z","title":"Demeter.Fourier Restriction, Decoupling, and Applications","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:11.885989Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:ce4370e0d995a7422fed507c70e463efc3a6aebb862850e086cf41e04a2e9e6f","observation_id":"2675aecf-2867-4c48-acac-7c07d9d5979a","resolution":{"observed_at":"2026-08-03T03:24:11.885989Z","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":"2026-08-03T03:24:11.929716Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:11.929716Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:8e487123aaf7adb6579c5bd6e733a263a5c2c674cc34713cda9bd83f968f3f1e","observation_id":"f82d54f3-81aa-4a32-83b0-910c7a9568e2","resolution":{"observed_at":"2026-08-03T03:24:11.929716Z","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":"2026-08-03T03:24:11.982498Z","title":"Fefferman,Inequalities for strongly singular convolution operators.Acta Math.,124, pp","venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:11.982498Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:bafa85ff1055ed343dd1ca5123f2ff3e3dc19eea5ecbea883d650439bb0031c4","observation_id":"ac57a571-b2dd-44f4-b11d-340ee5461912","resolution":{"observed_at":"2026-08-03T03:24:11.982498Z","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":"2026-08-03T03:24:12.029596Z","title":"Ferrante,Different perspectives on the Mizohata–Takeuchi conjecture, University of Birmingham PhD thesis 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:12.029596Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:90966b493d74b8747a055545dc1fbc8ab468a2de225db7d114d0ba2901147750","observation_id":"d5493889-0bb8-4051-9419-20ee35b2a1f8","resolution":{"observed_at":"2026-08-03T03:24:12.029596Z","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":"2026-08-03T03:24:12.074842Z","title":"Fraser, K","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:12.074842Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:1a2dd5f13607f77e2a21d5f9fd110a2b4009bcf9dd58285d05307ba0c1efe416","observation_id":"fd5ca7e4-18a3-4685-9872-81a832c754a0","resolution":{"observed_at":"2026-08-03T03:24:12.074842Z","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":"2026-08-03T03:24:12.127499Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:12.127499Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:29edf71b91641421ddd1d66480b9cc62c5d215f934d4c3ffb9dbfd4a8b1f91e0","observation_id":"1bf21e1b-a14d-4588-b44f-b279ff413fed","resolution":{"observed_at":"2026-08-03T03:24:12.127499Z","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":"2026-08-03T03:24:12.202169Z","title":"Guth, Restriction estimates using polynomial partitioning II.Acta Math.,221, No","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:12.202169Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:1fcc9ff080664f6fe387bd2d2ad9a39035cb453a00eef2bdc1db466226735aba","observation_id":"e2788c9d-4a48-406c-ba0c-079ddfdd56f7","resolution":{"observed_at":"2026-08-03T03:24:12.202169Z","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":"2026-08-03T03:24:12.257658Z","title":"Hambrook, I","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:12.257658Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:6fb429499170ed4ae1ad0b87ad1b6b62b350c75639347500e84c8bbcc42210cc","observation_id":"3ee748f4-2ab4-4fec-8542-1445d410f40e","resolution":{"observed_at":"2026-08-03T03:24:12.257658Z","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":"2026-08-03T03:24:12.299776Z","title":"Hambrook, I","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:12.299776Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:34685df3f9130641f8fc18ebe78e71de9aea9437ed541c79e740053b91724cc5","observation_id":"5259b567-5444-4e22-822a-ac6ca2528f35","resolution":{"observed_at":"2026-08-03T03:24:12.299776Z","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":"2026-08-03T03:24:12.364995Z","title":"Klainerman and M","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:12.364995Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:df6ca29cd357ab0a9a0d1af6e94f9a3e1d6e056d44fed43bfa3a15ce24cc46e1","observation_id":"ebd4886e-71b3-4430-94f8-4f921e876d80","resolution":{"observed_at":"2026-08-03T03:24:12.364995Z","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":"2026-08-03T03:24:12.394435Z","title":"Klainerman and M","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:12.394435Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:564ffd7cd50f992db30916675fe3abafaea9a78fe3802bc8396c7c1e39ac8e30","observation_id":"681faca9-d878-44b2-b9a0-7393635b6e6c","resolution":{"observed_at":"2026-08-03T03:24:12.394435Z","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":"2026-08-03T03:24:12.450291Z","title":"Klainerman and M","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:12.450291Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:18e0965979909afe394602b775e25c5683a873f683f52124ff4fa347d2a56cf6","observation_id":"a1562643-43c4-445a-855e-74960b9557c6","resolution":{"observed_at":"2026-08-03T03:24:12.450291Z","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":"2026-08-03T03:24:12.525858Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:12.525858Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:e581db9e1c33b9aa738a062d58ca96b1988200ad324c75ae2d6d9a45858b0489","observation_id":"ec9bb29b-1eef-4344-af66-256f3634fc4e","resolution":{"observed_at":"2026-08-03T03:24:12.525858Z","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":"2026-08-03T03:24:12.597891Z","title":"Liang and M","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:12.597891Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:c8799580d68cc0a8c084beaf8ff8e47c84c57665b9e01a502f4b5fe279bf9a1c","observation_id":"37b7c9c0-b46e-4784-96ac-aa9a8be9e493","resolution":{"observed_at":"2026-08-03T03:24:12.597891Z","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":"2026-08-03T03:24:12.623891Z","title":"Mattila.Fourier analysis and Hausdorff dimension","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:12.623891Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:f70e4bbf67192893288b0e864a2a65e042513c2e58ca7b4eb9dce2a24b074ab6","observation_id":"1cb98445-9e5b-46dc-b38c-26df4c627ae3","resolution":{"observed_at":"2026-08-03T03:24:12.623891Z","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":"2026-08-03T03:24:12.680729Z","title":"Mattila.Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:12.680729Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:27c172838219489f1e48485cb335ba030be6280d16ab4e497a0023694f95344e","observation_id":"112ecb82-df65-4c0e-8234-aa222896cabc","resolution":{"observed_at":"2026-08-03T03:24:12.680729Z","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":"2026-08-03T03:24:12.719444Z","title":null,"venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:12.719444Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:148cea8e295c32edeb9361f2773a55e7cde77d4c8d59614a9089274a1e00afc7","observation_id":"e0f9fb19-5d8c-43bc-8195-fb3f9466bbbd","resolution":{"observed_at":"2026-08-03T03:24:12.719444Z","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":"2026-08-03T03:24:12.801337Z","title":"Mockenhaupt","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:12.801337Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:38f4c232a9832f3de125c518493a5b543e480459ff7664fc635435e9c2645baa","observation_id":"5dad3cd2-0e7e-4a29-bf7c-d127e988d23d","resolution":{"observed_at":"2026-08-03T03:24:12.801337Z","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":"2026-08-03T03:24:12.849387Z","title":"Muscalu and I","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:12.849387Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:b5ba9737787858ec7f01757dd6ce072aba02ec8285d73eea9ebf4b4f535640c6","observation_id":"2063aa8b-592f-4e50-9fc6-cfb0b27ed0ea","resolution":{"observed_at":"2026-08-03T03:24:12.849387Z","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":"2026-08-03T03:24:12.899133Z","title":"Nazarov, Y Peres, and P","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:12.899133Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:e3bb35ae7cedcf4bb4a0ab3f9deb54883a990ec55eae9ecfeb72626ef361f645","observation_id":"d47a80ef-7b5b-4b42-973c-41e0ced4a6bf","resolution":{"observed_at":"2026-08-03T03:24:12.899133Z","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":"2026-08-03T03:24:12.945259Z","title":"Oliveira e Silva","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:12.945259Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:4edbf20833bdff1cb7b19c7bfccfa98b0ff1c14c2eab6bbf37cf62396709a6d9","observation_id":"6bee52f8-b429-4fc1-881e-a5ea87f365c7","resolution":{"observed_at":"2026-08-03T03:24:12.945259Z","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":"2026-08-03T03:24:12.999008Z","title":null,"venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:12.999008Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:23dfeba7635f460cd1da5bf791fe827ed6b978e05cbca1f1e24346af01c35666","observation_id":"4e76ab6d-9b9d-43c5-bca4-2671e974ad0f","resolution":{"observed_at":"2026-08-03T03:24:12.999008Z","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":"2026-08-03T03:24:13.055726Z","title":null,"venue":null,"work_id":null,"year":1951},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:13.055726Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:6b2a8b9b13530eda4096a1278bdea632b0096750f01e8f2a73e98b6ee58c976a","observation_id":"c36a8f5c-93af-466a-b582-29b0d728102f","resolution":{"observed_at":"2026-08-03T03:24:13.055726Z","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":"2026-08-03T03:24:13.195271Z","title":"Shmerkin and B","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:13.195271Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:03d0b89678921946e27d6a7e8a38ea8fcd0d7a30f6f8a57a46d0db4e9d8b62bd","observation_id":"48a70fdc-4026-444f-a84f-186ac0c9761d","resolution":{"observed_at":"2026-08-03T03:24:13.195271Z","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":"2026-08-03T03:24:13.304251Z","title":"Stein,Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals, Princeton Material Series 43","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:13.304251Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:89ebac6b24626383341c3281b9ae6ddb64129fb3d290323110502aa4a7f37788","observation_id":"a3834ede-b8d5-4f72-8c3f-9e42d5a80934","resolution":{"observed_at":"2026-08-03T03:24:13.304251Z","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":"2026-08-03T03:24:13.427512Z","title":null,"venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:13.427512Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:b49f18b2468be4827779e1cca2f6bbfb5e25767c78b9b86652676c78eb457abb","observation_id":"210eb8ed-67a4-43f6-bb4b-86da5b99dd14","resolution":{"observed_at":"2026-08-03T03:24:13.427512Z","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":"2026-08-03T03:24:13.609205Z","title":"Tao, A sharp bilinear restriction estimate on paraboloids.Geom","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:13.609205Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:3e77e7f1c8bf5ca3644808504e434a1e4cf0f7a267fac6836887134fd31a63b6","observation_id":"53ecbb73-1dda-4a0d-916c-2b709d22ee09","resolution":{"observed_at":"2026-08-03T03:24:13.609205Z","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":"2026-08-03T03:24:13.700610Z","title":"Tao,Recent progress on the Restriction conjecture","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:13.700610Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:797ccf1feb3b79a8b554d0e25e190266b7c17e63269cd5949574c2312585e9f4","observation_id":"def3445f-8fb7-4c68-a5f7-52759d684068","resolution":{"observed_at":"2026-08-03T03:24:13.700610Z","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":"2026-08-03T03:24:13.832127Z","title":"Trainor, (2019)","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:13.832127Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:bb8fbc18580035a3a44c5af6b4dad2ae15af62d0437fe69d3aab57a1c56f15a9","observation_id":"6a66793f-afd9-409d-9b17-ada2909a6ff9","resolution":{"observed_at":"2026-08-03T03:24:13.832127Z","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":"2026-08-03T03:24:13.932911Z","title":"Tomas, A Restriction theorem for the Fourier transform.Bull","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:13.932911Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:3ab80d944e9c2c4f62624ddde1351f1242496dc3cdc22f9435074dcd53410793","observation_id":"e760a3a1-d8f3-4c95-9b5b-0890ec3dbbca","resolution":{"observed_at":"2026-08-03T03:24:13.932911Z","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":"2026-08-03T03:24:14.038885Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:14.038885Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:e1fca4ba4bbe69291118a60b4b8048523ea00782221e1cf1d79099d62fee5e5d","observation_id":"d9ca25b1-7f97-4d5f-8466-e996cc1a567b","resolution":{"observed_at":"2026-08-03T03:24:14.038885Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.08871","last_updated":"2024-12-19T16:38:43Z","snapshot_observed_at":"2026-08-12T21:12:03.615420Z","submitted_at":"2024-11-13T18:50:52Z","title":"Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.08871","snapshot_observed_at":"2026-08-03T03:24:14.143958Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:14.143958Z"},"links":{"cited_paper":"/paper/2411.08871","citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:c7bc5f9b26ae914555e3c552c17989c170c655ca776696bb36fbe23ec0882446","observation_id":"f441ffd8-f4bb-42d7-b3ac-33ede919f2c8","resolution":{"observed_at":"2026-08-03T03:24:14.143958Z","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":"2026-08-03T03:24:14.247233Z","title":"Math.153, 661–698 (2001)","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:14.247233Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:c6205adbfc2ffa3b904f0a42807220f0c3170200653885b1156fa09195382143","observation_id":"124d9267-e79b-4125-84e5-a0b353b533ee","resolution":{"observed_at":"2026-08-03T03:24:14.247233Z","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":"2026-08-03T03:24:14.363138Z","title":"Zygmund, On Fourier coefficients and transforms of functions of two variables.Studia Math., 50, (1974)","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension","version":3},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-03T03:24:14.363138Z"},"links":{"citing_paper":"/paper/2602.08568"},"observation_digest":"sha256:24a3e8f6cc48863e37502abafe5b0853a17eb3bc4333661bc99e42313b4e3e48","observation_id":"5d2714b1-459e-42f1-9705-7b9cfcaa7a0e","resolution":{"observed_at":"2026-08-03T03:24:14.363138Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2602.08568","last_updated":"2026-07-29T13:16:08Z","latest_version":3,"primary_category":"math.CA","snapshot_observed_at":"2026-08-09T23:21:34.862290Z","submitted_at":"2026-02-09T12:06:42Z","title":"Knapp-type obstructions in multilinear fractal Fourier extension"},"reference_resolution":{"displayed":44,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":44,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":44},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 1 inbound Pith citation observation for arXiv:2602.08568."}