{"as_of":"2026-08-17T05:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:074c881d8fd4ae1dc944d6577f783eb890cedcad4591df1de716424f5cf61535","coverage":[{"denominator":34,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":34,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T20:11:49.927471Z","state":"measured"},{"denominator":34,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":34,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/2507.03883/citation-record","integrity":"/paper/2507.03883/integrity","json":"/paper/2507.03883/citation-record.json","paper":"/paper/2507.03883"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:11:51.773614Z","title":"Bourgain","venue":null,"work_id":"8652ec88-a367-4f75-9449-5f910fe9c1bc","year":2013},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:47.430132Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:2b6560c832e8c39c0ad48df4f9c72f8b768c0da02c39d5884e3fbdb4ad4484b6","observation_id":"f3afb2bd-2461-4fa4-aaac-c4fe0f1ba832","resolution":{"observed_at":"2026-08-06T20:11:51.777765Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.762693Z","title":"Bourgain","venue":null,"work_id":"78c75c8e-eaab-44d9-83b1-3fa23a290392","year":2016},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:47.507311Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:69472f141340a6933c4ea373dd543c17076f52eca17da5cf3802084a0c5bfb2d","observation_id":"56906e39-ded5-411f-95ba-587ec67cd82e","resolution":{"observed_at":"2026-08-06T20:11:51.766300Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.752103Z","title":"Some new estimates on oscillatory integrals","venue":null,"work_id":"27a84471-f65c-4286-9f4d-39ae5ed784eb","year":1991},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:47.557786Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:48a6f620206170e749e8e32e8531f1ee327032f5a5330e8b3bc5fa07c75235d0","observation_id":"6fc30c47-7d6c-4fd6-a0c2-1b42dfec741a","resolution":{"observed_at":"2026-08-06T20:11:51.755724Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.741824Z","title":"The rate of converge nce on Schr¨ odinger operator.Illinois J","venue":null,"work_id":"eb72780e-9e9e-4bd0-8abe-b84f2f10e09c","year":2018},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:47.599549Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:090cfd51fd78cec0690e892eedbf1223c5c6e961b8b3ca9515fd2b652ac0da90","observation_id":"f8313d65-c816-4bcd-8c99-8b5ff207b819","resolution":{"observed_at":"2026-08-06T20:11:51.745423Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.730235Z","title":"Sharp pointwise convergence on the Schr¨ odinger operator along one class of curves","venue":null,"work_id":"c9c74cc8-19e3-4b36-8503-0215da57090b","year":2023},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:47.640249Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:b1437f48fd4950e5f9e1f64466f99cc15e8ecabd10680da0b0f0391d06d6e773","observation_id":"d1f86136-9187-48ea-bbf6-af7777d87fcf","resolution":{"observed_at":"2026-08-06T20:11:51.735194Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.719079Z","title":"Radial Fourier multipliers and associated maxim al functions","venue":null,"work_id":"8ec3f30d-9d51-42e0-bfbe-1babb5d7cb99","year":1983},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:47.729406Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:80f500a435389c407b179ac275a1a1bd3e7e2edd305d19529f6880118d492c4c","observation_id":"052f5ece-1640-4182-a369-c68eadc55b4a","resolution":{"observed_at":"2026-08-06T20:11:51.723127Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.708375Z","title":"Some analytic problems related to statistical mechanics","venue":null,"work_id":"2321a122-5005-40e5-ac6b-0e5de3129ba4","year":1979},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:47.800829Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:a44b0f95f2d9ed7b3ebe3e8954d0cefa14614e4166c87c779138615e5ca93405","observation_id":"fb16347c-2d49-41cf-a059-e9fa1b8e3b14","resolution":{"observed_at":"2026-08-06T20:11:51.712237Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.697349Z","title":"Pointwise convergence of the fract ional Schr¨ odinger equation in R2","venue":null,"work_id":"3bb69b01-e2e4-4dcb-967b-edbd8af83ee9","year":2022},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:47.882445Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:7bb71dd4787aa5fee1b99dd6db0c56c00f1d73a02c79a205a079edbcee125c4b","observation_id":"e8a0ea22-4025-4bbf-a431-cefd12657a1e","resolution":{"observed_at":"2026-08-06T20:11:51.701466Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.686525Z","title":"Problems on point wise convergence of solutions to the Schr¨ odinger equation.J","venue":null,"work_id":"1be9c23f-6eea-44e1-b029-62d616243ce5","year":2012},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:47.947727Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:a5414d7700c17a06c3ea6322b631f0b93e79770afb82e6de5bd336a353ee4884","observation_id":"8daa3d72-21d9-4ea1-bba5-0974da5227fd","resolution":{"observed_at":"2026-08-06T20:11:51.690096Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.675803Z","title":"Pointwise convergence along a t angential curve for the fractional Schr¨ odinger equation.Ann","venue":null,"work_id":"1134f09d-47b0-4dcb-b4b3-8f631470fe74","year":2021},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:48.000604Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:35634e73abbc0654351f22f20fedab0783824eef5f4f0085212a173d83b8b2d1","observation_id":"8db3d55a-49d5-4056-a099-1cb793819ff8","resolution":{"observed_at":"2026-08-06T20:11:51.679539Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.664084Z","title":null,"venue":null,"work_id":"bd40dd80-ddf4-4b01-b084-f89a308ceb90","year":1982},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:48.079307Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:a23dafe36505c3cdb440c9766ac1956b7f8927adacdf8b1f87251cd2529db5c3","observation_id":"d7c29e08-d532-4e81-8ed4-1e2400b90706","resolution":{"observed_at":"2026-08-06T20:11:51.668701Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.653117Z","title":null,"venue":null,"work_id":"caf53a3b-8ac1-42d9-909c-c091bda0398f","year":1981},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:48.109157Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:0301012b6045b192d37479470353015e08cfd61f2bda19ec024d59d692d65f88","observation_id":"3e9eb34c-5289-4aa7-9a81-bf13b6d5b7bc","resolution":{"observed_at":"2026-08-06T20:11:51.657287Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.642074Z","title":"Schr¨ odinger maximal funct ion estimates via the pseudoconformal transformation","venue":null,"work_id":"b94a2bb4-9aef-4aa8-bbd9-e72b2fdb8e6f","year":2016},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:48.171728Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:2c7ad01a64e3b55d7b25a85a8e5afb6f905692c3fcdde3261cbab569124d2512","observation_id":"6aa3e9f6-69c8-4721-8deb-0f376be32b0c","resolution":{"observed_at":"2026-08-06T20:11:51.645953Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.630761Z","title":"A sharp Schr¨ odinger ma ximal estimate in R2","venue":null,"work_id":"f6e3935f-dbeb-4414-b0dd-e6bc3ca34b41","year":2017},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:48.240311Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:12fcdc7128f8fab57dd3db56d1a24180b6860a7007ada358be7ecca856d17582","observation_id":"bb4b358d-9edf-4171-87d3-5d9345ba6e10","resolution":{"observed_at":"2026-08-06T20:11:51.635184Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.618876Z","title":"Sharp L2 estimates of the Schr¨ odinger maximal function in higher di- mensions","venue":null,"work_id":"7a78b33b-20b2-4009-ba3f-83c88d21aaf2","year":2019},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:48.290767Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:f0d32581d3f9bd5d4b88ea01333118bf57dd47907086312f33245c8ca6976e4e","observation_id":"ff2ec592-7f39-4955-9bf0-c8b2320776fc","resolution":{"observed_at":"2026-08-06T20:11:51.623591Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.606624Z","title":"Sharp convergence rate on schr¨ odinger operator","venue":null,"work_id":"0a027012-f0d5-4b33-a6c9-791de65304e2","year":2024},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:48.359748Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:e1517fdd6166841df369ec750b26159faddb66cc20a2d4a5dcae61e6ea6b49dd","observation_id":"097ee073-49d5-4c05-a347-329025db700a","resolution":{"observed_at":"2026-08-06T20:11:51.611048Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.594646Z","title":"On pointwise convergence of the solutions to Sc hr¨ odinger equations inR2","venue":null,"work_id":"f68bda6b-2ad9-42b1-bdfa-834bf518d96c","year":2006},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:48.428067Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:c471e9022542941fa70ebbcbd095ae194af15761ac2c89186e7df2eb7c9f887d","observation_id":"7e716553-4936-4024-b7cd-b0a2d469c935","resolution":{"observed_at":"2026-08-06T20:11:51.599552Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.584166Z","title":null,"venue":null,"work_id":"5bcb47b6-2260-4a24-b756-2520c8ac34d3","year":2012},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:48.514473Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:beaf7571dafdf89c87210f942ce1cb3ac1dc965ddbd87f06bc51a90b8dc6b19b","observation_id":"3e24fb16-9327-4416-bf5d-a5ac196d9187","resolution":{"observed_at":"2026-08-06T20:11:51.587971Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.570776Z","title":"On convergence properties for ge neralized Schr¨ odinger operators along tan- gential curves","venue":null,"work_id":"78a775d3-e80e-4729-9a25-ebb4c86e9a91","year":2021},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:48.600330Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:64420dfe2d8fb09bf746708aaeb9b9f04b0e05bf5ef411226e0951b4f0baedca","observation_id":"2e852e64-fa3e-4c88-8a57-d6e0894667a4","resolution":{"observed_at":"2026-08-06T20:11:51.575307Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.558767Z","title":"A study on a class of generalized Sch r¨ odinger operators.J","venue":null,"work_id":"b686808b-d95a-4893-8091-6aa5479a937c","year":2021},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:48.661799Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:0d9d7bd3963de09e32d1188ba50a6b6100446110c4d65fec7feb932af6bc325a","observation_id":"ad0a5260-5db0-4b9d-917d-4c93332287de","resolution":{"observed_at":"2026-08-06T20:11:51.563604Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.547553Z","title":null,"venue":null,"work_id":"310a30bb-2914-4142-aafb-43fce0de1abc","year":2017},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:48.741741Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:e9b9b8ca28e00276a33f19196bad28bbfb6000b702fec4f7f6faa34033674e67","observation_id":"12e63092-3138-4f2c-a816-685174f94a5f","resolution":{"observed_at":"2026-08-06T20:11:51.551280Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.536053Z","title":null,"venue":null,"work_id":"4f7ba176-2a63-43ba-97a9-497c238c0a08","year":2019},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:48.803010Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:d431e8aa3aee3aa10e7cdc2e6ce9a96d4a4ab1efdebbd7c3e7333184bd94b1ba","observation_id":"8c28d6a5-ed24-47bd-8bcd-73cc21565bc8","resolution":{"observed_at":"2026-08-06T20:11:51.540529Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.525718Z","title":"Hausdorff dimension, projections, and the Fou rier transform","venue":null,"work_id":"5abf4af2-5641-4116-b99e-c5ae0805041d","year":2004},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:48.894112Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:e5ed77fc00273a0e220cdb3aff56a3cd18e7867b6659e2a378167a23b3bbeac7","observation_id":"062a6b76-9b09-4e39-9151-04e38748cdad","resolution":{"observed_at":"2026-08-06T20:11:51.529313Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.514027Z","title":"An improved ma ximal inequality for 2D fractional order Schr¨ odinger operators.Studia Math","venue":null,"work_id":"88088695-086b-4c32-92ca-784849522637","year":2015},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:48.980873Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:dc3732e6f992ac7b781bb27536555687c92ceb10e3be71eb612be9e3e5fd8696","observation_id":"638e1332-63da-4a42-b257-06b1af2a14f7","resolution":{"observed_at":"2026-08-06T20:11:51.517868Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.469806Z","title":"A note on almost everywhere convergence alo ng tangential curves to the Schr¨ odinger equation initial datum","venue":null,"work_id":"5fc0d92e-37e7-4e86-88be-70c949f1b719","year":2024},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:49.069883Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:a415f98eb3e88d4153da99d9fa678de56bde75356c0c8640007d64c8e0d073b9","observation_id":"24777054-d4a4-4895-ba65-3f28352ddfc6","resolution":{"observed_at":"2026-08-06T20:11:51.499618Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.306360Z","title":"Moyua, A","venue":null,"work_id":"46693853-6bd0-4c1a-8bac-b45c7bcd4ab8","year":1996},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:49.127968Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:187679a45209161fa01159f107e40b20c4ed34cc853438011c1986b6b2b22b22","observation_id":"1453528c-6263-43b9-889f-2695eeb8d2aa","resolution":{"observed_at":"2026-08-06T20:11:51.385596Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.175073Z","title":"Regularity of solutions to the Schr¨ odinger equation","venue":null,"work_id":"b7b1fab7-f8be-4a79-abf1-ec24c0a270e0","year":1987},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:49.229412Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:0f45a3973b19171cac44c457809386b5b00efa0f5439466c292ce356b3b73137","observation_id":"5edaa467-e848-48a9-be44-bcbf4a0eac49","resolution":{"observed_at":"2026-08-06T20:11:51.231952Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.048228Z","title":"Tao and A","venue":null,"work_id":"7c80e480-0b85-4619-9571-579eb5f6423d","year":2000},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:49.328581Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:0e750b6fca9c9c014735e4d0c9c02f5fc2e7cc0a8bb35300469f17fa78da399b","observation_id":"d34608b9-7d4c-4aed-8b3e-0ca914154af2","resolution":{"observed_at":"2026-08-06T20:11:51.070960Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:51.037095Z","title":"Schr¨ odinger equations: pointwise convergence to the initial data","venue":null,"work_id":"db199ba6-4448-4d6b-a5ce-a14de87b8363","year":1988},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:49.449767Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:c44f4f6f2db438a9b0cbde0cf6aeb2fd5ad6bef746c7e0d3043f3c524090cbcb","observation_id":"37e81a61-3da4-48bd-b371-47a90a67c506","resolution":{"observed_at":"2026-08-06T20:11:51.040808Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:50.964258Z","title":null,"venue":null,"work_id":"bd83562d-6085-4336-ad45-558d62fdb468","year":1994},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:49.529547Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:3ee7e11c27c54a3b29e2c7c3d1e71328886d25a195f358f681947af1647bb7e4","observation_id":"4f23d051-14a0-4935-b187-f1fe08723d18","resolution":{"observed_at":"2026-08-06T20:11:51.000731Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:50.697363Z","title":"Sharp convergence for sequenc es of schr¨ odinger means along curves","venue":null,"work_id":"cdf23462-e5b3-4f25-94eb-86d8359a10de","year":2024},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:49.637404Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:d7d687c94a09a99b09791e1a92bcf315ab8d40ff38fd547dda256f41702eb0b8","observation_id":"260331b7-cfee-42cf-9ddc-fb3998c3e935","resolution":{"observed_at":"2026-08-06T20:11:50.812871Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:50.547173Z","title":"Sharp convergence rate on Sch r¨ odinger-type operators.Math","venue":null,"work_id":"b6607f8c-fc00-4dec-93ed-3a4dae943a46","year":2025},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:49.720839Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:d66ed6f733672cd33274d82ec4c0aac06299317fb3ad8a11dcf36dffbab1a7a4","observation_id":"10e30d9c-1fa0-4efb-93bd-ac4a041e8e6d","resolution":{"observed_at":"2026-08-06T20:11:50.624422Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:50.312609Z","title":"Pointwise convergence along a tan gential curve for the fractional Schr¨ odinger equation with 0 < m < 1","venue":null,"work_id":"e56861d6-8d79-4a8f-947a-79e1a820d02a","year":2022},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:49.803916Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:f9ae38ca2a32c8012caf6f934f4bd89ee817c612b20eae95cd910ebfbffa1133","observation_id":"1c232f3f-50e1-4494-b263-a800f8e8c8f8","resolution":{"observed_at":"2026-08-06T20:11:50.426743Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-06T20:11:50.079102Z","title":"Pointwise convergence of solutions to Schr¨ odinger type equations","venue":null,"work_id":"469d9db1-19f2-4272-842e-ddb222e981e2","year":2014},"citing_paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T20:11:49.927471Z"},"links":{"citing_paper":"/paper/2507.03883"},"observation_digest":"sha256:ef659c0ebea65d01ae2e507c912abd2f5660dd455d4872d01a34c3aca327b5b7","observation_id":"4034d304-6a62-4021-8a8f-8f242c48fa26","resolution":{"observed_at":"2026-08-06T20:11:50.175762Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.03883","last_updated":"2025-07-05T03:44:07Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-06T19:58:03.575103Z","submitted_at":"2025-07-05T03:44:07Z","title":"Sharp convergence rate of Schr\\\"odinger operator along curves"},"reference_resolution":{"displayed":34,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":0,"verified_fuzzy":28},"total_outbound_references":34},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2507.03883."}