{"as_of":"2026-08-12T18:58:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2be45bc0bb626732e7faad04be55f6818e89ed0d95fc8e1ef5afa4395e296071","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":"2026-08-12T06:34:41.77262+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":"2026-08-12T18:18:43.310662Z","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":"sha256:5e8943f006583c5e51e52fc0b5b07205398dcad64871794aa9a327d92c9a194d","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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:c89beb1792d354ce87165210ee9b7ef737c2cc704d4976ab5a80046086520068","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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":"sha256:08c4b1de8f74faf6f521f8f1ef2f75ba4e3533ca9f1e389b0950ea509411107e","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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:c3f652ef3f558066481b305b3126b749ec009ef07427e495caaaa89445627605","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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":"sha256:9c9ccf426b0b621d95efa0e4f4574ce6a8f0eb3ddd3f0b608c0343ee72f05809","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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:d281908ccd48624dd3e84f371c35e313e8df74841b76c2c86b991b24dbe25ec6","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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":"sha256:199472170318e2039ef28c598ce2d1c16ec2eef6d4d02efae3beaa78b3f079f5","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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":"sha256:32b00ac3bade69218cae9e0772db1b174dc61e9ad06a5ed7ab08f926dbe5c6be","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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":"sha256:615b60ffd2b20ee81e14f09e5612f9d5c16ec28cf2dc4f3acc73772e2b8f7b40","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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":"sha256:515754527255d1a6978c2d3129810ba24a01530dc75ac28a3f2ef27c50aaf5eb","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":"2026-08-12T18:18:43.310662Z","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:b975440fad3ec71271c210374aa8550d4bb85dccf8f473182b6063ebe08bba4c","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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:f830b2a08109fc20110fbb4a94297e93868dcbad998eef128c42f66ea4f79b28","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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":"sha256:0d80f33182323c866ba10177780d0853fcf781b2d215fc09b24b755542a2beb0","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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:b33cfe48f213d8926d418fc6eb27ffdf64dd102e3141fddd5629359fc048fd14","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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":"sha256:4628069ee5dca7d333af88c5a7c83c65dc833df75540cbab90d457fbfd7e00b4","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1702.01231","last_updated":"2017-02-09T17:40:40Z","snapshot_observed_at":"2026-08-06T00:39:05.622469Z","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":"2026-08-12T18:18:43.310662Z","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:e6fc973cf5c4cd23d7d72c5943254e44e51a446571fe198565b8852a65a0d739","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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:e59c828c260899a348a72f7f1fe472a209931cf34a8802204de9c8612dcda981","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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":"sha256:1412045a4cbb2a7e572016774bfa38a79d441cee4846f0a57c2e74863ed19178","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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:ecd3ceeb559b6d91a1c108182e32a3db0853fe3c3ad153f182ad6ae7da7b69aa","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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":"sha256:35ad7446e498296269d0a4c7ab70831fcef5e77795192fdd731c0f46eb2ad911","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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:da4c44952fa4d9db25b867d3ed6474c2eb8acc72ff0f239e21a44a608fd186ec","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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":"sha256:682804b354469f011c0e25d669c9d61c7fd250cc06dcd5a901fc4eafeba4b10d","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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:e93a913a32af4ce04c74ba9c9db32b37cdb064ca351f01a7cc9181f47334243a","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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":"sha256:20787cffcd8c93122f21f2b7c339d439850d371ba9cb3efb28ed102f47b75ea6","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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":"sha256:56fd302bc7f2a8a02df5c7a193d72971ab00e65c7a03badd81cbff9a4f0d43c4","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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:beda6b900ccf8a338315f84420a209d08e866565aa6473d566d3d11e7c4f6880","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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":"sha256:0abff8dfc8e6d146f1650014ff01263db92fabb9600277521b6d5c0fb8bb73f3","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.08871","last_updated":"2024-12-19T16:38:43Z","snapshot_observed_at":"2026-08-07T19:15:32.753976Z","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":"2026-08-11T05:21:03.774073Z","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":"2026-08-12T18:18:43.310662Z","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":"sha256:7e7a3fbcd7745a27c1dc3712146d6a15be2c13470c871630b95b5426658c056a","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":"2026-08-12T18:18:43.310662Z","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":"sha256:632176ab6b39c7ed73f3c9eeaf8aa45496040fd11c23000be19451cbc9d1182b","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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":"sha256:03f1b4528802f14b65c5537f4f5702d2ae8e60b47c348abadce335490b563b9a","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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":"sha256:285aceab772d4678c4146602681d1616457b255a013979e8e1f9efaa5b33e454","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 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T18:18:43.310662Z","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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2608.09871."}