{"as_of":"2026-08-08T23:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c6b607fd6bdf91fcb3aff63986784649e4e5d84de4e2e3539de68f4045ac9e01","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":"2026-08-08T06:32:00.761636+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":"2026-08-07T17:57:30.438769Z","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"}}],"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":"2026-08-07T17:57:30.438769Z","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":"sha256:4a8565d891b389532170d524859fffaa946c282cf5728bf7e2e4c6c53972654d","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":"2026-08-07T17:57:30.438769Z","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:c4e5b4e76807cd1ec25dc90ad96c130178357ee6378ad9f89c56b2446b13e2a5","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":"2026-08-07T17:57:30.438769Z","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":"sha256:9622abec1b34e656a637681355e5a224c7d5378b8972fae087b33fad44e28d7b","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":"2026-08-07T17:57:30.438769Z","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":"sha256:78bb0089eb384c68c63d8d0055eea4ea3a2873f0a71000fe2cdfef5af2faec97","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":"2026-08-07T17:57:30.438769Z","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":"sha256:10eac7bd51974fbbb40cab0ea1c1c51f81218edecb97ad43a25ebc65255127fd","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":"2026-08-07T17:57:30.438769Z","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":"sha256:27d86f931aaed2062285b2ce9b428cba625def12b31f9d55f83c46d6b10a6984","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":"2026-08-07T17:57:30.438769Z","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:eef74ce38178eb5bf2941ed8053c36c63ff9974d6e7f045bf57238e480bfee57","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":"2026-07-06T20:10:08.781784Z","submitted_at":"2024-12-19T14:26:28Z","title":"$L^2$ restriction estimates from the Fourier spectrum","version":2},"cited_work":{"arxiv_id":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":"2026-08-07T17:57:30.438769Z","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:f02a1e4576638e3cbfd5a8ad2e4ee31d76e7210d8ecde2760df4fcbd46d9f4b6","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":"2026-08-07T17:57:30.438769Z","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:c6e9a1f00a6e82ca40053dca0d44c2b4b6e9ac87f369334338251382cae11853","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":"2026-08-07T17:57:30.438769Z","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":"sha256:95c17c57b7a20738d790d5d88dd6287610f1707c7fe6e15c5977fe77f37372dc","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":"2026-08-07T17:57:30.438769Z","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":"sha256:67049c75a2c6183fae185a6882391b68ea1e886a9190ed3cffde5ff14c459d4b","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":"2026-08-07T17:57:30.438769Z","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":"sha256:0786ead5b23fff265164898ea2ed57b433e936989a1141b61e3e780ae92dd62d","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":"2026-08-07T17:57:30.438769Z","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:e77627f611ba88297752bcb9af2b1a5a909d5f1685cfa63de6a055c6caabc837","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":"2026-08-07T17:57:30.438769Z","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":"sha256:985eb04b42ee55c6feeb4fcb7fdee2dc4f236014b99900ed058110f54a1c3604","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":"2026-08-07T17:57:30.438769Z","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":"sha256:77c9a5637ea6a8c6a102bf41c132064349637bd8646d3917e518a52f8e0166cd","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":"2026-08-07T17:57:30.438769Z","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:a363e6ed576f7ecaa13ea8c3a2b248aec7f1143554b9ebe1b6beea5688e2b9b2","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":"2026-08-07T17:57:30.438769Z","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:c9b695107ed4a4c6777664f9736ccb350b9f4f580476ddeff80b02452e8a6e04","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":"2026-08-07T17:57:30.438769Z","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":"sha256:288fd21a1621dd1abf8002b52f3ab165bad11a55b204560ebb9cee21b04cfa75","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":"2026-08-07T17:57:30.438769Z","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":"sha256:39e7e518ef89811c97c30abfb7bf2f0f08876a7ae315cd2f58d95b329187a343","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":"2026-08-07T17:57:30.438769Z","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:b06b50331cbabe87d9390d18d33b48783982d022ad996fc3c9c3db39c110543b","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":"2026-08-07T17:57:30.438769Z","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:cfb509c6b8336c7163abd241eeac33e6f430618b0613575e49ae1f6c71700569","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":"2026-08-07T17:57:30.438769Z","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":"sha256:6331ab1ea7d7a622314e31b5bd8f1b08995b0559bb0f980a8f610c1d888db394","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":"2026-08-07T17:57:30.438769Z","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":"sha256:34f6f75dc130404abc0ab977e58b5d9c5eee5ec83094c653d873d736db0bfe5a","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":"2026-08-07T17:57:30.438769Z","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":"sha256:6b63099cb3f37b4b6afb921eebf23aeb670ffca943d13191ebacf733fa153036","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":"2026-08-07T17:57:30.438769Z","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":"sha256:900f48209433f7c5bc407687b7f288021407c7d76e49ce69b3df6660179dd03d","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":"2026-08-07T17:57:30.438769Z","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":"sha256:288f945319d341c16e0714a7fd4a47e750fa58a5ed8c97db68221a6e4b63acb7","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":"2026-08-07T17:57:30.438769Z","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":"sha256:560c31145b6429578993d84ce5768ca0a20dcdac01d02e9d02ef70a2bcbda96b","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":"2026-08-07T17:57:30.438769Z","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":"sha256:35964fb838fc0a9bf7cb3f8c3b7b8cba5b634b0d61abd10edda9c1f073073b86","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":"2026-08-07T17:57:30.438769Z","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":"sha256:49ad3f1b840a1c665fa9720510f2a8e8b9cf2df90e5c2b2a47b2c8ebaf4bc99b","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":"2026-08-07T17:57:30.438769Z","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":"sha256:98d016db7bc48df4c212e8700056b16a27c5340ee68d0c99f62fb0174b4e9029","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":"2026-08-07T17:57:30.438769Z","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":"sha256:50ee04bcbe865bc657a854bf4a54d9803af79a41949603dcab3e4e35f83e4cae","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":"2026-08-07T17:57:30.438769Z","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:e5911afb1b0135d9a62d23ffb0e81ed6ccf30e9f50cd5a7aabe6d0fabb7d9094","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":"2026-08-07T17:57:30.438769Z","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":"sha256:5c4c788ff23272c727083837ec87940d364326d2ffa179f0d9b0534375f8e71b","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":"2026-08-07T17:57:30.438769Z","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":"sha256:90c5cc01a8e098d7d9b4d183e7b6a35b4cf264ab6b7d4752649ed243186359fa","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":"2026-08-07T17:57:30.438769Z","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":"sha256:87a0150eef18d6a9209e268b9c74ca3ea6502df5931062fd42287f16478ade27","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":"2026-08-07T17:57:30.438769Z","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:c503f66f5022d1a22ef5c6ef8c037f35e81fc94a818c839e1560306d20f4024b","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":"2026-08-07T17:57:30.438769Z","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":"sha256:7d62b67698fbcd048710573b667301c5dc2a1327e294e3bb2abd5ac190b52a9c","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":"2026-08-07T17:57:30.438769Z","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:db9a8e9378225ca039f345aaf91e0c1a7cd67e3c8efdef54c7179e746e3e458c","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":"2026-08-07T17:57:30.438769Z","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":"sha256:1f0bb46682c0618ced8edcacdfceed4c1f87c60f318576d38ea9f5adbc682a32","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":"2026-08-07T17:57:30.438769Z","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:a6ddb11732cb190080df9bd544a69fc73918641e633779a37ebb9cb4739a5c27","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":"2026-08-07T17:57:30.438769Z","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":"sha256:16508da7920962b2033f24e8a5d72ce191600046bbff39d7f54a3b9c6fc575cd","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":"2026-08-07T19:15:32.753976Z","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":"2026-08-07T17:57:30.438769Z","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":"sha256:9ae0de68fd2d781159f19ee64d428e4cf88d69f00d20dc29e191f83d53b258b6","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":"2026-08-07T17:57:30.438769Z","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":"sha256:6298dbd9c23970da1f106a4d76716c7bd9ee763b440ddb72f513964cc7196555","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":"2026-08-07T17:57:30.438769Z","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":"sha256:14be54517737effd80f4b84452aa4f7cecfe24d0c360d15e6b69918bb9dd5f5d","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":"2026-08-07T17:57:30.438769Z","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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 1 inbound Pith citation observation for arXiv:2602.08568."}