{"as_of":"2026-08-15T19:18:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7b087b054083a5aa230fd677624cdf85e5d9a4c2f62ca67da87af09373fca5fd","coverage":[{"denominator":31,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":31,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T05:21:03.787765Z","state":"measured"},{"denominator":31,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":31,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2608.09871/citation-record","integrity":"/paper/2608.09871/integrity","json":"/paper/2608.09871/citation-record.json","paper":"/paper/2608.09871"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:04.328981Z","title":"The multilinear restriction estimate: almost optimality and localization","venue":null,"work_id":"83e84fa0-2710-43d8-b830-54223ecaf83a","year":2022},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.649796Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:60fda86b7dc743b1ef633ca62d21289f2ee071d0e57f557d533dad052bc5a21b","observation_id":"f584ea3f-a4af-4d70-9e03-3ff8ffce1f2e","resolution":{"observed_at":"2026-08-11T05:21:04.334048Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:04.315452Z","title":"On the multilinear restriction and Kakeya conjectures","venue":null,"work_id":"88322e73-2c7b-49d4-99ac-fc6ff26a397b","year":2006},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.654810Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:e49e7fb057f4f96d70971fa6fa430c74bed56c4051e7835be031b478f8436925","observation_id":"f67d7801-9847-4ab1-a908-e5e78cb75bef","resolution":{"observed_at":"2026-08-11T05:21:04.319979Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:04.300851Z","title":"The proof of the l 2 decoupling conjecture","venue":null,"work_id":"1478848e-ecff-4d68-aab6-ca58cdca204f","year":2015},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.660873Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:592a31c32ecaa9ac2387e69ab98ad94f9a5557715dabdf9406522c8837d14efc","observation_id":"80f4fc5f-3d17-4a39-b266-d00cdf79307f","resolution":{"observed_at":"2026-08-11T05:21:04.305316Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:04.286898Z","title":"Bounds on oscillatory integral operators based on multilinear estimates","venue":null,"work_id":"bfb94bbb-c767-4241-b180-72cf77a64961","year":2011},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.665785Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:ed3f8146233082dd87efbb6b8df2ac66a0d7adb419bc104be45a19ffd4b53bbd","observation_id":"de12bab7-7d9a-4767-b2ad-2e3ed19d9d43","resolution":{"observed_at":"2026-08-11T05:21:04.291484Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:04.273438Z","title":"A Fourier restriction theorem for a two-dimensional surface of finite type","venue":null,"work_id":"c224a966-4cc3-46cd-803f-9c88637d557f","year":2017},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.670532Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:09a62d36bb2109e82d8e1f78e30954af8089014fb78652898460de31d17d111a","observation_id":"127cb3b7-9afa-4783-8310-02bebe11d34c","resolution":{"observed_at":"2026-08-11T05:21:04.278007Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:04.259000Z","title":"Fourier restriction for smooth hyperbolic 2-surfaces","venue":null,"work_id":"dfb2bf9b-2143-4527-8fce-392ad86b33cd","year":2023},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.675530Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:8294f5634a59447c56c4362d6b7495e818fe2fa6cba8d26cb89c9b785fafcbb6","observation_id":"7c692738-65d4-4a6c-82a0-0b7380a4460e","resolution":{"observed_at":"2026-08-11T05:21:04.263777Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:04.244750Z","title":"Variation bounds for spherical averages","venue":null,"work_id":"562610fb-690b-4f96-8342-0d369c75316a","year":2022},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.680509Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:18a7df5f930ff5cc1650b67baf90d5c1b836d7ebf54025f9691bbcf1355f09df","observation_id":"b3c507b0-ab1e-4ce3-9034-a0f2dad973c3","resolution":{"observed_at":"2026-08-11T05:21:04.249206Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:04.231074Z","title":"Restriction inequalities for the hyperbolic hyperboloid","venue":null,"work_id":"c0f66e79-9465-41f0-87d0-10c39fb74210","year":2021},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.684926Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:fe794330e7f480208c3da2d660c66c7551e7bd699f31f6a82f7ed0e5893b578f","observation_id":"40adb871-5c53-4456-a027-de2e7a94994b","resolution":{"observed_at":"2026-08-11T05:21:04.235871Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:04.215698Z","title":"Improved restriction estimate for hyperbolic surfaces in R3","venue":null,"work_id":"5dfd8646-fad9-44e9-a36a-86a2ddb0b19c","year":2017},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.689293Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:39df63b172eae214e611e6ae8a41dd1f82f2363ac723e7f8b3be7a7838a8b217","observation_id":"55a1aa4f-d2b1-4ae6-8dfb-3fc1edeaa8cd","resolution":{"observed_at":"2026-08-11T05:21:04.221181Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.09037","last_updated":"2026-04-14T18:09:08Z","snapshot_observed_at":"2026-08-09T05:14:43.956249Z","submitted_at":"2025-05-14T00:25:51Z","title":"Restriction and decoupling estimates for the hyperbolic paraboloid in $\\mathbb{R}^3$","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.09037","snapshot_observed_at":"2026-08-11T05:21:03.693256Z","title":"Restriction and decoupling estimates for the hyperbolic paraboloid in R ^ 3","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.693256Z"},"links":{"cited_paper":"/paper/2505.09037","citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:b8271a78be78cec6a39b490e333a8bc48959e2d58940d346dc61353d421f160b","observation_id":"7feb443b-f1b6-44e3-945b-717d1ee7b1c1","resolution":{"observed_at":"2026-08-11T05:21:03.693256Z","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":"2606.16766","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:03.914487Z","title":"Restriction estimates for surfaces with negative curvature in R^ 3","venue":null,"work_id":"2f984ee4-2f4b-4764-a6de-6c2b5f853815","year":2026},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.698208Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:6839a327b5162e84453ed0e3bd4ea276dce9c7fd2dac3a1dda84354ec532bbd2","observation_id":"e0e2c296-cb2f-4b46-8f32-f0c7bf55ab23","resolution":{"observed_at":"2026-08-11T05:21:03.922491Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:04.201267Z","title":"A restriction estimate for surfaces with negative Gaussian curvatures","venue":null,"work_id":"110d2355-b82f-4159-ab1a-676b7ccfdb3d","year":2024},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.702975Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:6dd63480738c11443c25f54603fdc762ec56768bae3dc4f152d5a160ce354d5f","observation_id":"6feff78f-a7dd-4580-8ee9-77ae7fe84cda","resolution":{"observed_at":"2026-08-11T05:21:04.205821Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:04.187825Z","title":"A restriction estimate using polynomial partitioning","venue":null,"work_id":"15542678-0bc3-4f52-93fb-34ba818331cf","year":2016},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.707433Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:61254753e3efbb1d735486a2f1ad9e80fc5c5aa4c0ad2659884406f2be39dc8f","observation_id":"aeffdbc4-1e2c-466c-8145-e2a6f252ae97","resolution":{"observed_at":"2026-08-11T05:21:04.192181Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:04.173548Z","title":"Restriction estimates using polynomial partitioning II","venue":null,"work_id":"dee3b4c3-530d-462b-ad2d-5adc2b752261","year":2018},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.711840Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:89257adefbc53c829288171d77be989da93b974b6483450fd636dcd2abb9d82f","observation_id":"ffdef955-4812-43df-97bb-fef119fbfe5c","resolution":{"observed_at":"2026-08-11T05:21:04.178078Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:04.159859Z","title":"Fourier restriction for hypersurfaces in three dimensions and Newton polyhedra","venue":null,"work_id":"1093d023-c917-4481-851a-21bdff698aa0","year":2016},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.716228Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:8cf0b7fda5a983ea4faef1a3472c22502c281a3fd2b371f839b53caf21a8fdf2","observation_id":"b61449d0-2b06-428d-a17b-8a0446135cf8","resolution":{"observed_at":"2026-08-11T05:21:04.164343Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1702.01231","last_updated":"2017-02-09T17:40:40Z","snapshot_observed_at":"2026-08-14T21:18:01.624031Z","submitted_at":"2017-02-04T03:29:41Z","title":"Some remarks on Fourier restriction estimates","version":2},"cited_work":{"arxiv_id":"1702.01231","doi":null,"metadata_source":"pith","pith_arxiv_id":"1702.01231","snapshot_observed_at":"2026-08-11T05:21:03.838269Z","title":"Some remarks on Fourier restriction estimates","venue":"math.CA","work_id":"e86f125c-2aa6-41e6-b61d-dc65705c6c94","year":2017},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.720562Z"},"links":{"cited_paper":"/paper/1702.01231","citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:1c65179c358f11ffa4de9265760e21556de88154c60e16833dab1d9362237190","observation_id":"0f89951e-0001-4ef2-b65e-a1b519c564be","resolution":{"observed_at":"2026-08-11T05:21:03.845092Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:04.145518Z","title":"Bilinear restriction estimates for surfaces with curvatures of different signs","venue":null,"work_id":"f8599d03-e0cf-4244-a7cf-43e9e8a267f0","year":2006},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.725570Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:a7ab3bc58422a75ffe11af1298c5596916454e972ffccd18a8460b67d9add77d","observation_id":"10b6a3b5-352a-48c3-966b-8401818a8770","resolution":{"observed_at":"2026-08-11T05:21:04.150265Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:04.131260Z","title":"Restriction estimates for some surfaces with vanishing curvatures","venue":null,"work_id":"6c5edbc1-eae5-4c8f-a920-71ace906d6bc","year":2010},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.729848Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:163ea755cbf0f66248fe8596664a1b173c763470ad0c1fb714f1dbeec5b7cd4f","observation_id":"77ff5f12-736f-444e-9b95-434c21cdfb49","resolution":{"observed_at":"2026-08-11T05:21:04.135910Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:04.117461Z","title":"An improved bilinear restriction estimate for the paraboloid in ^3","venue":null,"work_id":"082d39ed-f610-4b71-8000-b0bb25ea0915","year":2023},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.734454Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:be99ca6ebf8f82dab5eea1506159092db5fd7f1b43b2cb6300885df15e400edc","observation_id":"df9f9912-d3f2-4682-aff1-fbebaafbe6df","resolution":{"observed_at":"2026-08-11T05:21:04.122020Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:04.102929Z","title":"Some problems in harmonic analysis","venue":null,"work_id":"a3765743-b970-480a-8eef-c1c70a48f45f","year":1979},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.738774Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:13f8c4bbd8eeb4dc594f5684a840da4e6149ceb8c9568b9ed3824dc0e48fed61","observation_id":"a721d08e-a1db-451b-a51b-3734552c54c8","resolution":{"observed_at":"2026-08-11T05:21:04.107529Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:04.088025Z","title":"Scale-invariant Fourier restriction to a hyperbolic surface","venue":null,"work_id":"d3e050f6-3a45-49f9-a7c0-4c39437895b0","year":2018},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.743504Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:37ccd523bb7fc15dbcf32bf89ab091c1af2081d7ddfaf797b4466b2b25b32ae3","observation_id":"eff44495-24e9-4a25-a649-b6df7302ff4f","resolution":{"observed_at":"2026-08-11T05:21:04.093343Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:04.073500Z","title":"Fourier restriction above rectangles","venue":null,"work_id":"d3dc7c11-953f-4b74-9883-f745887ab050","year":2021},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.747591Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:5b063ff5ece2706d79364778e8f199fd1271a308bc2cc2e5552507cea42e09cc","observation_id":"f7b4aec4-8567-4f52-8b02-307c4b0383af","resolution":{"observed_at":"2026-08-11T05:21:04.078340Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:04.057861Z","title":"A restriction theorem for the Fourier transform","venue":null,"work_id":"ec7e8c6b-a4b4-450a-8aa2-206a9dc4517c","year":1975},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.751792Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:94bf772ae76bcb127cf5bc8b19067feb1e5b4686060df0152f7fb2e7d99ead03","observation_id":"6cf1b2c7-f02e-49a5-bcc7-d1b095105c4a","resolution":{"observed_at":"2026-08-11T05:21:04.063226Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:04.044068Z","title":"A sharp bilinear restriction estimate for paraboloids: T","venue":null,"work_id":"e859754c-b3d5-4bdc-946a-572a007790b9","year":2003},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.756239Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:8a44a1cbfb14bd94a14baa13fc9d9d94d8f5c43ed51ca27836b62ca3c3b4221c","observation_id":"766c81d1-7564-4323-bbef-a789f0ca1d59","resolution":{"observed_at":"2026-08-11T05:21:04.048767Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:04.028423Z","title":"A bilinear approach to cone multipliers I","venue":null,"work_id":"8cd77c95-ad93-4fc9-a7ba-25c5da642b79","year":2000},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.760708Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:c7a2e9e1945d63369208903cd68e9810c4a74a53e8eb05850818cf75670ae248","observation_id":"d08fb504-a36d-4376-ba32-28e7d9263f2e","resolution":{"observed_at":"2026-08-11T05:21:04.033810Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:04.011924Z","title":"A bilinear approach to the restriction and Kakeya conjectures","venue":null,"work_id":"1f636bf3-6d11-4174-a4d4-764b833a0a0f","year":1998},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.764942Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:e8b37e18473f78d2ce2912c71e5a2ac80cc7e8f48f2cf0b642722e5bb12155a9","observation_id":"de40e0b2-2620-4507-8e3a-6206052047ad","resolution":{"observed_at":"2026-08-11T05:21:04.016737Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:03.996057Z","title":"Restriction theorems for a surface with negative curvature","venue":null,"work_id":"560565bd-eff3-4f10-9409-7b151b5469d2","year":2005},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.769796Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:a3863787ad2c6a3fc12932276f96591ec5772b7c596b0f270620745e0208c756","observation_id":"882ab9ac-07f3-4efb-84b5-10e2a389fed1","resolution":{"observed_at":"2026-08-11T05:21:04.001559Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.08871","last_updated":"2024-12-19T16:38:43Z","snapshot_observed_at":"2026-08-13T17:49:35.604829Z","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":"2026-08-11T05:21:03.774073Z","title":"Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.774073Z"},"links":{"cited_paper":"/paper/2411.08871","citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:724442b306a1b9fb1f8a79201a0e298e9a88874e5eb74a75735661e6e07a0450","observation_id":"69f3da09-f0d8-4aeb-a15b-6dc7d7a96d37","resolution":{"observed_at":"2026-08-11T05:21:03.774073Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:03.979182Z","title":"Restriction estimates for 2D surfaces of finite type 3 and applications to dispersive equations","venue":null,"work_id":"e74c19fb-8c55-4e93-9802-a58702439890","year":2026},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.778990Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:3b40cccf5f702511109234d97ae90dad691cdc203c010bcc2c56cc46b8b62bd4","observation_id":"7887ac8b-910f-4f39-aea7-ef641dcdce2d","resolution":{"observed_at":"2026-08-11T05:21:03.984634Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:03.963857Z","title":"A sharp bilinear cone restriction estimate","venue":null,"work_id":"48a08c53-8a59-4ab3-84df-75fde7a14e6f","year":2001},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.783123Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:a2887b69cb62b7a617e1ced5e8ebd99574f43a6c4977f19bf3048bea3f589244","observation_id":"b7968c1a-24e8-46ed-b725-4cb96a0bbc49","resolution":{"observed_at":"2026-08-11T05:21:03.968620Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T05:21:03.948835Z","title":"On Fourier coefficients and transforms of functions of two variables","venue":null,"work_id":"4e5b6259-82f2-4c56-81eb-18e30935abc7","year":1974},"citing_paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-11T05:21:03.787765Z"},"links":{"citing_paper":"/paper/2608.09871"},"observation_digest":"sha256:8e9ea8eafb2b50cc5d6ddfd0d97209a9278d43d0350e9c8c37f6b843012b6edf","observation_id":"50e1e112-8f65-48f2-b50a-617ca4ab9f5d","resolution":{"observed_at":"2026-08-11T05:21:03.954092Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2608.09871","last_updated":"2026-08-10T17:27:06Z","latest_version":1,"primary_category":"math.CA","snapshot_observed_at":"2026-08-15T16:15:26.778075Z","submitted_at":"2026-08-10T17:27:06Z","title":"Fourier restriction to hyperbolic rectangles and an application"},"reference_resolution":{"displayed":31,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":2,"verified_fuzzy":27},"total_outbound_references":31},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2608.09871."}