{"as_of":"2026-08-17T22:56:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:98a3e5262f7fa518f8b4693bd771a1fddfb53757b04f27a5bbb8c09d653c90ab","coverage":[{"denominator":52,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":52,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T18:49:19.863279Z","state":"measured"},{"denominator":52,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":52,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+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/2506.18657/citation-record","integrity":"/paper/2506.18657/integrity","json":"/paper/2506.18657/citation-record.json","paper":"/paper/2506.18657"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:49:20.532907Z","title":null,"venue":null,"work_id":"353ae774-f20d-4063-aff9-3a4081bb91c3","year":1962},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.668030Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:00bd3e3b19423a4301feb25902c58e0ea86e392a155e86925b384ef2df9a78c1","observation_id":"ec8fe048-6c4f-4998-a7e7-04a41a04e7f1","resolution":{"observed_at":"2026-08-15T18:49:20.536721Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.521688Z","title":null,"venue":null,"work_id":"8c4b17b1-4624-4b7d-b3a6-bb0de6d55c11","year":1965},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.673156Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:28661938a7fd7d922ed4863e8e3f62137a12c6621886352d70c688ea64c9848e","observation_id":"72ba770c-9f32-409e-84b7-c0e0389e50ef","resolution":{"observed_at":"2026-08-15T18:49:20.525532Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.510524Z","title":null,"venue":null,"work_id":"0fd938a0-ef29-4a10-9c9b-e97a24e9ebb9","year":2004},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.677484Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:bcc5d30415fab6f48ec720a8fcbcbfe60105161e0d805c48f6c049d784991865","observation_id":"78bee458-7b63-42e4-972e-579b54e2d21c","resolution":{"observed_at":"2026-08-15T18:49:20.514044Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.499501Z","title":null,"venue":null,"work_id":"8290087e-790d-4c53-a6e8-c6b5d14241bc","year":1961},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.682058Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:62ab1a11985dfda94c36c42de6311f8a32da9005780a354344a5024d2c28bf60","observation_id":"5b413c83-acf2-4fbc-b428-8492eebaea01","resolution":{"observed_at":"2026-08-15T18:49:20.502629Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.488516Z","title":"Bak and S","venue":null,"work_id":"ae436608-b408-42ba-9e3d-5b964bac949e","year":2004},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.685841Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:9159fe94901b3a75101819517bae356bdeee61b559a77ec99080bbd1f6258e64","observation_id":"729e5335-9fbd-476d-84de-02bf96366ca5","resolution":{"observed_at":"2026-08-15T18:49:20.492122Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.476707Z","title":null,"venue":null,"work_id":"cee9b003-0c54-421b-bcc3-e188c46ffed9","year":2002},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.689925Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:c5cdba22460f01606a36c4c4a3ca14e25de144cac89cf249e9a6438508ba6664","observation_id":"b8b0958d-600c-4233-a994-f0a4d4aa82cf","resolution":{"observed_at":"2026-08-15T18:49:20.480591Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.466329Z","title":null,"venue":null,"work_id":"52099818-80e3-458a-8d90-6c1fc8b2e98b","year":2007},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.694130Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:ce89983f64f6d0753cbff123aa48926e80fec2073ac850c38ef6cfbab5cbb55b","observation_id":"237584e6-424c-4728-af07-077e7fce0819","resolution":{"observed_at":"2026-08-15T18:49:20.469815Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.455506Z","title":"Barron, M","venue":null,"work_id":"34a0cb71-91d0-4007-bac5-f09140599d8a","year":2021},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.698592Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:987ef2923cafce49e16bd6ea705e93f777aaa0502bb09c817935411e740cc145","observation_id":"8290c17d-4c8a-45a1-8ebf-d11e003194f3","resolution":{"observed_at":"2026-08-15T18:49:20.458986Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.444768Z","title":null,"venue":null,"work_id":"37a90bc4-d5d2-483f-a9db-5508629d9d10","year":2024},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.702616Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:4636b70ea32d7627860d8967d6b1374d56d495dfc5234797d5c8c7f00acc51d4","observation_id":"89a66a60-2d08-4a58-8c68-858b02262d45","resolution":{"observed_at":"2026-08-15T18:49:20.448403Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.433384Z","title":null,"venue":null,"work_id":"5edaca69-325b-4ac1-8fc6-9735adb3983d","year":1997},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.706525Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:86e276a5e317f32bc5a359834b2f22afaae00bd55a3ec066b092939d7c52394b","observation_id":"0b797b6c-11de-4ed6-8cef-c765e89e30bb","resolution":{"observed_at":"2026-08-15T18:49:20.437363Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2404.09020","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:49:20.016735Z","title":null,"venue":null,"work_id":"cfed7b5d-20bf-425b-9571-9f91bab29d84","year":2024},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.710612Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:12f2ba08a5bf000db56df4816988c1921dd5f322116301235746ac82873cfae4","observation_id":"2bc2419a-ffcb-421c-8f5c-bdf6a1b621e7","resolution":{"observed_at":"2026-08-15T18:49:20.024667Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.421791Z","title":null,"venue":null,"work_id":"3d9c28db-46df-47f4-bdb8-3a8cf2e32637","year":2024},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.714924Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:72ff80b07063214e1f4f80047a0352e6ca7b38f28ff30c0f55667900ab1a53f1","observation_id":"5d4c0fac-6ba2-4c78-bfd9-b1caa2a34926","resolution":{"observed_at":"2026-08-15T18:49:20.425854Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.410400Z","title":"Carbery, M","venue":null,"work_id":"26d06e0d-650a-4ef3-b6c5-d8fb6061fa12","year":1999},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.718954Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:40561f5eaa9a73740a9497d3f16ba8554642c49b91681bed581ca3dfbf6fa2e6","observation_id":"cdd0dd80-71b6-43f6-88f5-c300aa27b1ae","resolution":{"observed_at":"2026-08-15T18:49:20.414148Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.398734Z","title":null,"venue":null,"work_id":"60eba761-3303-4018-9191-e109d93d6413","year":2007},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.722909Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:b71a691aa86ee91e44fe1bcca0741a0dc05455cbc2c6b9c1a003be75e5606029","observation_id":"48414fe3-1ee1-44e1-8ad2-ef6a3e76c3e5","resolution":{"observed_at":"2026-08-15T18:49:20.402494Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.388745Z","title":null,"venue":null,"work_id":"1e7f86d3-cc3c-4256-987c-c50ee3a97244","year":1982},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.727119Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:a41aa99e5d792be60a368234cf94f0d35b6774cb10082b5d3a274fcbd9950852","observation_id":"c1b73466-2dd8-46b0-9920-9daa462ac699","resolution":{"observed_at":"2026-08-15T18:49:20.391775Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.379057Z","title":"de Seguins Pazzis","venue":null,"work_id":"a8e44622-70d7-447b-8b5b-92fa15d8fe43","year":2016},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.730833Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:2c42e45feef336967e30d7b711c04a14c613031341337cd307ea9b790fb90957","observation_id":"40778fe8-2ff8-44fa-a775-3e67ae627e40","resolution":{"observed_at":"2026-08-15T18:49:20.382193Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.368246Z","title":"Demeter.Fourier restriction, decoupling, and applications","venue":null,"work_id":"44bdafa9-1e4c-4c67-bfda-2754c49180ec","year":2020},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.734691Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:369c6ea56f67559dc6d2cf4c5b74c17af9b423264a1dc1a0fa92288f47b67eba","observation_id":"e07b0bf4-57fe-4f52-8740-91113c2a704b","resolution":{"observed_at":"2026-08-15T18:49:20.372139Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.357993Z","title":"Dendrinos, A","venue":null,"work_id":"2342a0ff-ba62-45b2-a0ba-91c0f1d1a72b","year":2025},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.738363Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:0bd805ed0ff08ac70b9c34ffece54eb21820e315a9fd74286964e2b8ae1ae369","observation_id":"11b7347d-ee6b-4a69-9243-0b286efbb014","resolution":{"observed_at":"2026-08-15T18:49:20.361602Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.347840Z","title":null,"venue":null,"work_id":"5508cc1a-dc99-4738-ad6c-b8b5f3aa44cb","year":2020},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.742417Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:de47737362d50e95ee30a3811b8d696c899c8784df327a0a0bf33dec3f8ccf72","observation_id":"d8342ccd-9885-400c-9852-a3f8cf889d88","resolution":{"observed_at":"2026-08-15T18:49:20.351508Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.337769Z","title":null,"venue":null,"work_id":"593300f1-83aa-4853-a867-bd87db3d2b54","year":2017},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.746305Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:f36f9beaae564fc0ffbfac849ff0ebaaf097db3db3bf197d1df3135cc7c059a4","observation_id":"f06d1fdb-fec6-4fb5-9dc3-ed05040f9c58","resolution":{"observed_at":"2026-08-15T18:49:20.341423Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.327290Z","title":"Du and R","venue":null,"work_id":"c80c1247-c4ea-44b7-9c58-dac804bba2c3","year":2019},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.750296Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:c79a461698c13ea83aa17a1dcdb7a3ca85cf63d7877e06c4b91d576a0ccd005a","observation_id":"e2f10245-2bd7-451b-bbb6-2e3a92697c01","resolution":{"observed_at":"2026-08-15T18:49:20.330823Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.316675Z","title":"Falikman, S","venue":null,"work_id":"07238fc4-8a96-480d-affc-8af6909e66a0","year":2002},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.754050Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:6cee9601e943d9d73f72875be773206fcab2fab5238323c154ccc335c0ec9dd8","observation_id":"2616ed2c-5e16-47ed-8c3d-ab3d2a794403","resolution":{"observed_at":"2026-08-15T18:49:20.320295Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.306249Z","title":null,"venue":null,"work_id":"d509b073-44b2-4259-a408-cd38d0981960","year":2022},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.757646Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:5dee94b8a6755086f1fb04dccdc9eec6dfe2bb7476e50e94e90b72848d12189c","observation_id":"7e19bf68-aa1c-4dc1-9077-fc0caf9155d3","resolution":{"observed_at":"2026-08-15T18:49:20.309834Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.295304Z","title":"Friedland and R","venue":null,"work_id":"27043827-c7c3-47cf-b771-4fb0b6f045cc","year":1999},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.760971Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:49d06bd95c15693704d6f19ce76cef1da82cc3a2cf7ef8879ec048c7202bf8e9","observation_id":"c4db67f2-1277-4179-aa45-1b463ab5848d","resolution":{"observed_at":"2026-08-15T18:49:20.298966Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2308.06427","last_updated":"2023-08-12T00:55:20Z","snapshot_observed_at":"2026-08-16T15:11:09.097984Z","submitted_at":"2023-08-12T00:55:20Z","title":"Restriction estimates for quadratic manifolds of arbitrary codimensions","version":1},"cited_work":{"arxiv_id":"2308.06427","doi":null,"metadata_source":"pith","pith_arxiv_id":"2308.06427","snapshot_observed_at":"2026-08-15T18:49:19.951434Z","title":"Restriction estimates for quadratic manifolds of arbitrary codimensions","venue":"math.CA","work_id":"f496f38a-20f8-4302-8aa8-e509729b115b","year":2023},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.764227Z"},"links":{"cited_paper":"/paper/2308.06427","citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:b1af14a4d5b17d959d4ec7b36a15006028710b2b0baeb8a2c04d23d9f162aa55","observation_id":"5ef7a85c-55d1-48b1-a241-0157670dee51","resolution":{"observed_at":"2026-08-15T18:49:19.956336Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.283907Z","title":"PhD thesis University of Pennsylvania, 2016","venue":null,"work_id":"20645f22-a496-40a0-ac98-9f1d379b1c17","year":2016},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.767695Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:57b6ba3b669f2150ecd0e802826d4801814d12914a61edac84a446c65ec4fec9","observation_id":"1d08de00-47e3-49d0-894e-6863eadc7365","resolution":{"observed_at":"2026-08-15T18:49:20.287724Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.272075Z","title":"Grafakos.Modern Fourier analysis, volume 250","venue":null,"work_id":"ec0436bf-2651-4ac5-b049-e74a2dde86a7","year":2014},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.770737Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:0a597f9f8f302ab3bdd2f1235ef89f11a6191f23c4179f379fcf0e35ee181e00","observation_id":"00531cb9-5884-4281-bb56-6984ecea571a","resolution":{"observed_at":"2026-08-15T18:49:20.276436Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.260727Z","title":null,"venue":null,"work_id":"efc2375e-403d-4676-828a-8dcac461e52f","year":2015},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.774436Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:c3158d74f403ea9a071f9cdaf25b69d2623d48a498e83ad4535b09aee3493a8e","observation_id":"51813a15-7465-46f4-ab9f-85fa605c4570","resolution":{"observed_at":"2026-08-15T18:49:20.264311Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.249828Z","title":null,"venue":null,"work_id":"e7daef1d-f23f-4e7b-ba96-c984eca4677c","year":2019},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.777502Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:86cb974fd46bda0b0276672233756087a5c47a9ad1841d3dc8e95c67058fa9d8","observation_id":"d8bedff4-4882-4afc-80ee-cdf69dd9de11","resolution":{"observed_at":"2026-08-15T18:49:20.253429Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.18860","last_updated":"2024-07-26T16:48:36Z","snapshot_observed_at":"2026-08-16T13:30:42.976516Z","submitted_at":"2024-07-26T16:48:36Z","title":"Generalized Sublevel Estimates for Form-Valued Functions and Related Results for Radon-like Transforms","version":1},"cited_work":{"arxiv_id":"2407.18860","doi":null,"metadata_source":"pith","pith_arxiv_id":"2407.18860","snapshot_observed_at":"2026-08-15T18:49:19.933729Z","title":"Generalized Sublevel Estimates for Form-Valued Functions and Related Results for Radon-like Transforms","venue":"math.CA","work_id":"9fb697f4-dfd7-41c8-8218-4d8a208968dc","year":2024},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.780526Z"},"links":{"cited_paper":"/paper/2407.18860","citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:db966792a959ad3bb5136d1462b2ee365719d89d0c9678bd684ce03044e2efb7","observation_id":"7dddc3e7-5b72-408e-83f0-4bccb4a5d1f4","resolution":{"observed_at":"2026-08-15T18:49:19.938383Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.238803Z","title":null,"venue":null,"work_id":"f678fb97-2036-46bc-9f83-22dc853958d9","year":1993},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.783824Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:9a7fa17b755afc4619b939607efde9c667c72623c1b9a0fde0c510e3dbda6970","observation_id":"de99a8f5-3a06-4902-a4eb-128f2780533f","resolution":{"observed_at":"2026-08-15T18:49:20.242164Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.11529","last_updated":"2023-11-20T04:21:17Z","snapshot_observed_at":"2026-08-16T14:41:58.474019Z","submitted_at":"2023-11-20T04:21:17Z","title":"$L^p$ integrability of functions with Fourier support on a smooth space curve","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.11529","snapshot_observed_at":"2026-08-15T18:49:19.787239Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.787239Z"},"links":{"cited_paper":"/paper/2311.11529","citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:46d8cbfb5b9d5a0c756a78650ba67cce4ebfb2defea6f9f77f6b0a13b65e3b3f","observation_id":"1511a127-0340-49ab-8d96-03912539328d","resolution":{"observed_at":"2026-08-15T18:49:19.787239Z","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":"2026-08-15T18:49:20.226042Z","title":"Guo and C","venue":null,"work_id":"7c058569-60c2-44ee-ae3a-e328f65bd93e","year":2022},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.791364Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:7237ec2222b0cc5a8dad37e41524a80dfcf1f83b8fa508e51489b2ca71b6672b","observation_id":"b25a7276-24b3-4d88-b481-8c6973bc58f7","resolution":{"observed_at":"2026-08-15T18:49:20.230314Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.214094Z","title":null,"venue":null,"work_id":"689135e1-4f39-4013-8630-414a2c60c7d0","year":2023},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.795242Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:54721f2b28b6abe25bbe556856d13a3d9f4decac8e077746edcd96a0db18a6e1","observation_id":"96e0ee9d-f824-4d04-b88f-6b0382cf7e06","resolution":{"observed_at":"2026-08-15T18:49:20.218042Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.203103Z","title":"Guo and P","venue":null,"work_id":"9b67f47c-1dec-4746-92af-a56b5ea5d370","year":2020},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.798775Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:a79933f1b6a657ca0571defa569d15e57b63d0c5c403c9df5f86e303798b8f30","observation_id":"92ecd0e0-5480-4839-a08d-ce0edb81426d","resolution":{"observed_at":"2026-08-15T18:49:20.206968Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.191501Z","title":"Harris and L","venue":null,"work_id":"bbbd81ba-cb06-40a9-b336-e2fbc88ca0a4","year":1984},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.803333Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:e3fffab9af0e85887ea740ec7dbc7da50198eccf971f45200b0053be7e6ce016","observation_id":"b7494cf1-bad3-483f-9fd3-6620c19ef8b0","resolution":{"observed_at":"2026-08-15T18:49:20.195220Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T18:49:19.806848Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.806848Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:6b7baf86bf4af6d8bf599a887af2fdc60ec9382cbab3969eda39a6789d654c1b","observation_id":"a8f6d7fd-93d7-4f7f-ac4f-4fcd42bb250f","resolution":{"observed_at":"2026-08-15T18:49:19.806848Z","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":"2026-08-15T18:49:20.172672Z","title":null,"venue":null,"work_id":"1ed98271-586c-4bfe-9b27-9bf79fcbff46","year":1997},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.810893Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:2ba82c8db2910147522153818d5c58dd2dd26fd7660c96e449d8e5056f2b1402","observation_id":"8882f1b5-b7cf-4e75-b2cd-8e97e288c03e","resolution":{"observed_at":"2026-08-15T18:49:20.176849Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.161839Z","title":null,"venue":null,"work_id":"10e2b78e-3b6a-48fe-b4fd-67d80cc44584","year":2014},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.814642Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:321dee270cd7be4f5aa5776729c831f2da5ae0ac01992aa5404b272ef474a2e6","observation_id":"852ccb32-071c-4989-9348-ac32c3ea13fe","resolution":{"observed_at":"2026-08-15T18:49:20.165618Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.150466Z","title":null,"venue":null,"work_id":"43abbb82-3e6d-433a-9656-4483ee71eed5","year":2006},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.818387Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:05ec2926426250f5677bab83e378be0d090aa2cc31d5f06a2084580c7407dac4","observation_id":"5c519bac-83f2-4661-ba04-20dc008f9feb","resolution":{"observed_at":"2026-08-15T18:49:20.154274Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.137776Z","title":null,"venue":null,"work_id":"e35c9926-7332-42d9-a5f1-a38a65987acf","year":1987},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.822432Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:3349596b38159f89e6d8386cbf0f750337a7027ec9fa536a4eeec5c80c36a14d","observation_id":"93532d34-29fe-4ac9-9521-b917e5ae1d12","resolution":{"observed_at":"2026-08-15T18:49:20.142798Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.126608Z","title":null,"venue":null,"work_id":"59303be3-d9f5-40e8-99b0-2dfa5a48e78d","year":2015},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.826176Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:515f976d6206bb4a08b29bc857e2bcb7ca57ab22e8706be8bfb5010ed47f7eee","observation_id":"ccc21192-3d45-43a3-9e4a-3c7b43aaafb3","resolution":{"observed_at":"2026-08-15T18:49:20.130348Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.116425Z","title":"Mockenhaupt","venue":null,"work_id":"7e400843-4ad1-4e1a-911d-28ce6546ad03","year":1996},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.830259Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:1c112c4978b79900c7919f0e6101b2db34a6635bb78f627fec2c85ca4f4439a1","observation_id":"02982fc3-0019-464c-9fee-27cb859f045c","resolution":{"observed_at":"2026-08-15T18:49:20.119770Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.106243Z","title":null,"venue":null,"work_id":"2be88873-cd8b-48d1-a791-cfc94d8c8a92","year":2000},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.834096Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:5e46b7c639faf6f7d5805b895bda9f7ed8b12ea7f04cda09fdbb552f111c83f9","observation_id":"70f842d7-5369-4b2e-8539-4e49fc77bcde","resolution":{"observed_at":"2026-08-15T18:49:20.109633Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.095971Z","title":null,"venue":null,"work_id":"a052d579-e62d-4ebb-aef9-0066a96ae48f","year":2001},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.837884Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:bf7ce5bb6bdf021e2950af5f48adec186332a23ca49d17641a05475364505b2e","observation_id":"291e6383-d71e-4c90-b57e-5d28de6602f3","resolution":{"observed_at":"2026-08-15T18:49:20.099343Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2112.04111","last_updated":"2021-12-08T04:42:06Z","snapshot_observed_at":"2026-08-16T17:36:17.315492Z","submitted_at":"2021-12-08T04:42:06Z","title":"A decoupling proof of the Tomas restriction theorem","version":1},"cited_work":{"arxiv_id":"2112.04111","doi":null,"metadata_source":"pith","pith_arxiv_id":"2112.04111","snapshot_observed_at":"2026-08-15T18:49:19.904368Z","title":"A decoupling proof of the Tomas restriction theorem","venue":"math.CA","work_id":"bac049c7-56d1-4644-946a-4ed2e5597c17","year":2021},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.841500Z"},"links":{"cited_paper":"/paper/2112.04111","citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:8f5358d3e1f60fe5fbd9eca4b70a30360e4f69b1adb530f6a3ea1df8fe08617a","observation_id":"8a9b6ea2-9b0f-4f02-93a1-5e69d3943f42","resolution":{"observed_at":"2026-08-15T18:49:19.910012Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.084215Z","title":null,"venue":null,"work_id":"db7bfe98-bb32-4567-a7da-e2d8da80daed","year":2021},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.845599Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:73573d72f60e1f32c385e1c39848e2e72d6b7450d70f625f4acae28f0af7ead7","observation_id":"5b50f799-3f9c-4cdf-ae67-41d441063c0b","resolution":{"observed_at":"2026-08-15T18:49:20.088052Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.072344Z","title":null,"venue":null,"work_id":"3d0e1d23-076a-42de-897a-2a2cbcbf14b5","year":1993},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.849398Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:c2b0a25b31d06df4b0fb95933baa3b9dd8e792dcfb3da55fede531e3548a830b","observation_id":"77308023-41bd-4106-82de-7b19207c81f7","resolution":{"observed_at":"2026-08-15T18:49:20.076289Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.059426Z","title":null,"venue":null,"work_id":"82cf45e5-456b-4ee4-a6fa-4c26e193bfec","year":1999},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.852943Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:33391270245b5c40d3003553e0c6afb5b43ef556f49867f13e96debc46ec0c2b","observation_id":"3f0aff5c-4f35-4df8-a1d3-381f787f48c7","resolution":{"observed_at":"2026-08-15T18:49:20.063996Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T18:49:20.046545Z","title":null,"venue":null,"work_id":"6882c1af-e7a0-4a66-8de8-04452bd0d0d6","year":2005},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.856540Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:0345e66d24a0f46d690ab039276ce831c9cab6a163f941844bba9305ba5b5560","observation_id":"9dc48062-f4cb-48c5-a20a-319eb3130e8d","resolution":{"observed_at":"2026-08-15T18:49:20.050620Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.08871","last_updated":"2024-12-19T16:38:43Z","snapshot_observed_at":"2026-08-16T01:59:12.124919Z","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":"2026-08-15T18:49:19.859650Z","title":"Wang and S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.859650Z"},"links":{"cited_paper":"/paper/2411.08871","citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:2de2a95620b342052ca5ae63ef7f8c79f17c5e777e09efe453591ae8df8cf8d2","observation_id":"bcd30d75-3c23-4801-b05f-2a4f2241ca79","resolution":{"observed_at":"2026-08-15T18:49:19.859650Z","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":"2026-08-15T18:49:20.033397Z","title":null,"venue":null,"work_id":"84644a1f-4057-4f28-adfa-68e79749d91c","year":1999},"citing_paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:19.863279Z"},"links":{"citing_paper":"/paper/2506.18657"},"observation_digest":"sha256:3bb77fa7f77eed419851fda41c93c93c42840fa019458c5eef7d883ccca35b08","observation_id":"8d6e2908-6cd5-4a06-b060-1cd196a1ce25","resolution":{"observed_at":"2026-08-15T18:49:20.037706Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.18657","last_updated":"2025-06-23T13:58:15Z","latest_version":1,"primary_category":"math.CA","snapshot_observed_at":"2026-08-16T15:11:01.439948Z","submitted_at":"2025-06-23T13:58:15Z","title":"Weighted $L^2$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions"},"reference_resolution":{"displayed":52,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":33,"verified_exact":4,"verified_fuzzy":15},"total_outbound_references":52},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2506.18657."}