{"as_of":"2026-08-13T01:10:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f82bc4f0efd2d44248485c0fd1efce1a3daa5690da6d592e50c9e15a424532b1","coverage":[{"denominator":64,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":64,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T23:47:41.936012Z","state":"measured"},{"denominator":64,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":64,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2502.08812/citation-record","integrity":"/paper/2502.08812/integrity","json":"/paper/2502.08812/citation-record.json","paper":"/paper/2502.08812"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.595304Z","title":null,"venue":null,"work_id":"38f46563-9d37-4a41-b741-83511498f988","year":2008},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.703799Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:3e8ede379501e3ea05ea1d69d3afeac1c93281baac4bad2900923533479e5fcd","observation_id":"f3e593b9-0e1b-4196-9fa4-565057e22a3e","resolution":{"observed_at":"2026-08-07T23:47:42.598779Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.585855Z","title":null,"venue":null,"work_id":"e057cc84-a604-4da8-8047-930a068b1a3d","year":2008},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.708402Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:432012ad715d409b2fd499def6348f210c6f14832735d8aed983593da4b110df","observation_id":"8d080185-304c-418f-8b67-13ae4c19ae70","resolution":{"observed_at":"2026-08-07T23:47:42.589271Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1901.07709","last_updated":"2019-01-23T03:37:32Z","snapshot_observed_at":"2026-07-06T07:28:22.817476Z","submitted_at":"2019-01-23T03:37:32Z","title":"Large global solutions for nonlinear Schr\\\"odinger equations III, energy-supercritical cases","version":1},"cited_work":{"arxiv_id":"1901.07709","doi":null,"metadata_source":"pith","pith_arxiv_id":"1901.07709","snapshot_observed_at":"2026-08-07T23:47:41.996637Z","title":"Large global solutions for nonlinear Schr\\\"odinger equations III, energy-supercritical cases","venue":"math.AP","work_id":"1c0c27a3-8520-4173-8c21-15258e1d82ee","year":2019},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.712604Z"},"links":{"cited_paper":"/paper/1901.07709","citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:2e34189dd339e738b1de34f40ac0cfed53211456e866e776c91733c82c254272","observation_id":"dd55aad6-2be7-48f9-8e69-30b73d2bde52","resolution":{"observed_at":"2026-08-07T23:47:42.000930Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.576540Z","title":null,"venue":null,"work_id":"ae6f8b6b-cd41-4070-8ca8-f134a9032b53","year":2012},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.717410Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:de0eeb3102b3e7fdaee251bd4ce9800fe6ad7dd21474e42dcadc7014b8d2dc14","observation_id":"1df3a8b5-f042-42b1-be5e-0a5b431a79c2","resolution":{"observed_at":"2026-08-07T23:47:42.579833Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.567057Z","title":"Bourgain","venue":null,"work_id":"8d14b32d-dbe4-49b4-a4e4-85975fad6b7e","year":1993},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.721382Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:e93cd3c364548a555373ac575f44623f226d4ff29aed5ff9d1eb72269ced2ae3","observation_id":"5b8a5745-ae0b-4ea2-8685-4dfd989d251b","resolution":{"observed_at":"2026-08-07T23:47:42.570334Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.557781Z","title":"Bourgain","venue":null,"work_id":"4d47251b-f203-4e77-b1cf-612e71d05495","year":1994},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.725620Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:ebbc011333655254dd7b239f12f9f78367d231e7d2d139c6389aea9050217284","observation_id":"0ba4a3e2-3b4f-4a87-9952-b93bbd983a49","resolution":{"observed_at":"2026-08-07T23:47:42.561043Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.548147Z","title":"Bourgain","venue":null,"work_id":"e3d94f42-8071-4c08-87a1-8285b99e5f4c","year":1996},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.729839Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:de49745c6ef47162dfe7010a08803577cdba6b62dc8d3f29bc3838f745b3875f","observation_id":"d69a5142-74ec-43fb-bbb7-ef6461298c34","resolution":{"observed_at":"2026-08-07T23:47:42.551561Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.537913Z","title":"Bourgain","venue":null,"work_id":"b0a32cd3-6e0f-496b-aeed-b6da224f7165","year":1998},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.733437Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:26e5143e997aac86ceafd175a3d93e851d468d1a12c46936f45ffe98348359c5","observation_id":"e31589c5-b90b-4b33-95d4-ec731d812975","resolution":{"observed_at":"2026-08-07T23:47:42.541362Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.528249Z","title":"Bourgain","venue":null,"work_id":"df522eb7-397c-4a8d-b609-648b2f723ade","year":1999},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.737154Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:b9a8672924feda242cbeb59a3b3446fed7111ae54008b6c6de3ffe5e4388680b","observation_id":"40e7e531-f032-4283-936b-2554ca3a3597","resolution":{"observed_at":"2026-08-07T23:47:42.531560Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.518470Z","title":"Bourgain and A","venue":null,"work_id":"62a49809-82cd-471c-aa1d-39a18b850ae7","year":2014},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.740915Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:a7721e82efce142ee92b670cba0aa1360c51dc16c00cd1c8566a530fa6cce26a","observation_id":"a1b9fbb4-3cb1-4474-8a0c-b7d58ed0f9d4","resolution":{"observed_at":"2026-08-07T23:47:42.522056Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.508727Z","title":"Bourgain and C","venue":null,"work_id":"4259a0b5-bb18-44e5-9244-8c48e8e76be5","year":2015},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.744627Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:7521ef8a770dd2ae6bdd2ec9bca41cfde5fc90edd212a5a65adf96dade108576","observation_id":"36af82f4-9cd3-44cf-84e1-ff702c3eebe5","resolution":{"observed_at":"2026-08-07T23:47:42.512081Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.498096Z","title":"Brezis and T","venue":null,"work_id":"8b7e4781-e5c7-45dd-8f64-6f7d063d949a","year":1980},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.748730Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:456e170e5790c0ab895587d3f3b98fe00aac6cf9fdcdd4a998d84a3b0efb83ff","observation_id":"52079f98-125d-429e-8920-e23277c3430d","resolution":{"observed_at":"2026-08-07T23:47:42.501665Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.488520Z","title":"Bringmann, Y","venue":null,"work_id":"1976578e-833f-4cf1-8946-97caacd1d8ef","year":2024},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.752607Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:bdcad382f9812815eafe476bff41829a4aa2f4e60e419b13ea11866a9fd7af8b","observation_id":"23e90d9a-1621-4b25-b1c1-bb828e6aedd4","resolution":{"observed_at":"2026-08-07T23:47:42.491838Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.479251Z","title":null,"venue":null,"work_id":"2e50d6c8-3961-421e-90fb-8641da784415","year":2003},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.756409Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:e422e5ede8b87eb77d108b7d653a2847ffedd2b19a54f5be325bccc5d03570fd","observation_id":"345bc831-6acd-4130-89ba-e9bf3e7d7500","resolution":{"observed_at":"2026-08-07T23:47:42.482635Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.470110Z","title":null,"venue":null,"work_id":"720528a0-03c6-435c-8139-26a056dc8271","year":2004},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.759974Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:b073e16ad8ceb9a07e522c638fd5f08178fdc18ebf073cfec2f4a19f43d90a15","observation_id":"55beb663-cf8b-49aa-b91f-bb68e8f40b95","resolution":{"observed_at":"2026-08-07T23:47:42.473345Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.460868Z","title":null,"venue":null,"work_id":"6a373c61-428e-429c-9d78-855cd094036e","year":2005},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.763621Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:cba6e7140960f3b1f029ba408fd25efbdd534fd72730b31b22c51bbe0e5fb33a","observation_id":"d82825ac-51d3-4c28-b68d-eda3f3415f4e","resolution":{"observed_at":"2026-08-07T23:47:42.464094Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.451450Z","title":null,"venue":null,"work_id":"42eb7920-813c-4701-a7a5-97c73a3293e2","year":2018},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.767113Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:f20d1bff8225c21ed141f98bdbfb4869f659f6df295444a9141780c2fe5033a8","observation_id":"cbb62d6b-250c-4a19-990a-b0bd25efd50b","resolution":{"observed_at":"2026-08-07T23:47:42.454874Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.442074Z","title":"Cazenave and F","venue":null,"work_id":"1371d420-c4a3-4a33-be37-a8c240138d24","year":1990},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.770785Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:0bbaffc68e4be702f222e74815cbd345af906a8916da89b14177c9a3400a3e3a","observation_id":"ee19fb15-c4d7-471f-8809-612000b9fbb0","resolution":{"observed_at":"2026-08-07T23:47:42.445582Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.432853Z","title":null,"venue":null,"work_id":"8cfd8146-ac10-47e9-a5d6-9008e4a5c962","year":1991},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.774357Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:a5935913a71bf706e5150e112422a24f18d964ccfa904794caeea594dbfbbda4","observation_id":"f37ae78c-4a27-488e-8729-110f09d5bb52","resolution":{"observed_at":"2026-08-07T23:47:42.436059Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.423950Z","title":"Colliander, M","venue":null,"work_id":"df3b9a4c-b575-4fb7-bff4-97622b3da7ec","year":2002},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.777943Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:aa630af047c6d101a6b321e1cef87ba1d2bdf15d2c3a34b63c84ee75ac253158","observation_id":"fc905e2f-41ce-4ca2-8026-7b1fd84ee55c","resolution":{"observed_at":"2026-08-07T23:47:42.427148Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.414428Z","title":"Colliander, M","venue":null,"work_id":"ea75fee6-8bbd-4277-986e-3e11685430fe","year":2008},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.781447Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:119bf0185e55e92e889f6954b137b91c06b0f2af6cd90e76082bc4ac1e9e9e72","observation_id":"518cb513-9281-4f47-bc78-47e5c0e5c53d","resolution":{"observed_at":"2026-08-07T23:47:42.417761Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.405034Z","title":"Colliander, M","venue":null,"work_id":"d07eaec8-a8e6-4f01-9ff9-b68ebe7c81c7","year":2010},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.784908Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:7e3d16d2d0001f22c2bb3a4fef0ef77062b030d794483155647d377f0b38e432","observation_id":"079dcc6a-d42c-45ba-a2b4-e58f323a080e","resolution":{"observed_at":"2026-08-07T23:47:42.408336Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.395261Z","title":"C´ ordoba and D","venue":null,"work_id":"4e4552fd-736e-49ca-8938-86d5ade6ac97","year":2003},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.788417Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:e472155d213f87970141e2b4e62761b5091f6b3d3fd2484947fd1487c20732d8","observation_id":"c8fd8569-feb1-4cc4-8a93-0e3c87d65f2d","resolution":{"observed_at":"2026-08-07T23:47:42.398729Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.385248Z","title":"Da Prato and A","venue":null,"work_id":"9cb0534c-2c04-45c8-9a08-3ee4f1475fbe","year":2002},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.791903Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:2969883ae135e2007d81f14dd42b04f631ed99083e96d68b5aa54296e8c15f75","observation_id":"e6a96ed0-e76d-463d-b7d9-fa47f4436c34","resolution":{"observed_at":"2026-08-07T23:47:42.388628Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.375280Z","title":null,"venue":null,"work_id":"3653cd22-0560-4afa-b248-4a254cd9cedf","year":2024},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.795297Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:8af10df5345160ce015f621fa609565b79fd3a4b5c34cf55abb76900219c9294","observation_id":"62037742-4d65-42c3-8e27-0dbf3a185b0d","resolution":{"observed_at":"2026-08-07T23:47:42.378720Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.364889Z","title":null,"venue":null,"work_id":"9d469621-b24a-4026-95b8-753e7a0e1715","year":2019},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.798835Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:f7368fe81a7bf7450a2b3ee52f8141c5d2692a0caf26777bd7567a7cf0897740","observation_id":"3d21452e-e924-4bc4-99b2-7e44ab3b83a5","resolution":{"observed_at":"2026-08-07T23:47:42.368737Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.354659Z","title":"F¨ oldes and M","venue":null,"work_id":"c7ebaace-c094-46d7-aea4-8f612c0a946f","year":2021},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.802350Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:8c50cb70c43c0105752b8a2081d117a74a364de6d4bd1b73c6812f2cc17352f3","observation_id":"239e407f-a0e4-4470-9938-13169c8f2bd8","resolution":{"observed_at":"2026-08-07T23:47:42.358120Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.00332","last_updated":"2023-12-30T21:45:57Z","snapshot_observed_at":"2026-07-06T17:10:12.654580Z","submitted_at":"2023-12-30T21:45:57Z","title":"Almost sure global well-posedness for 3D Euler equation and other fluid dynamics models","version":1},"cited_work":{"arxiv_id":"2401.00332","doi":null,"metadata_source":"pith","pith_arxiv_id":"2401.00332","snapshot_observed_at":"2026-08-07T23:47:41.982546Z","title":"Almost sure global well-posedness for 3D Euler equation and other fluid dynamics models","venue":"math.AP","work_id":"02431900-4613-47c6-98a1-299522cdfa8d","year":2023},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.805973Z"},"links":{"cited_paper":"/paper/2401.00332","citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:29e8bf3e003cab61b296dde8a5ec29afbe4599bb3c69069a39c8db49c65eba53","observation_id":"7f07f910-6840-47d1-946e-4a177478f47c","resolution":{"observed_at":"2026-08-07T23:47:41.986595Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.344564Z","title":"Ginibre and G","venue":null,"work_id":"fc7193ba-fb53-41fc-88eb-adab972bae0a","year":1985},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.809629Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:b5524f7805b6f5769e6dc176d8b19039b77beabe5a3a1204e78632e6b620a2de","observation_id":"30ff50e7-5486-47ba-a9ec-cfdc85a3c4ce","resolution":{"observed_at":"2026-08-07T23:47:42.347973Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.334222Z","title":null,"venue":null,"work_id":"ae6ab393-72a2-4aa6-959a-be661cfec342","year":2000},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.813157Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:627063057d9fefd6ae6f41d71eef784ccc0dc5567d582d877a9922c14af947b8","observation_id":"91ea03d6-1112-46de-91b5-980eb5c19aab","resolution":{"observed_at":"2026-08-07T23:47:42.337684Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.323858Z","title":null,"venue":null,"work_id":"ddaaa843-ea49-4dfe-a568-825311ebdef0","year":2015},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.816703Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:268755802715196a9987e46e2bba5d3c0d29a48fbf6a652659888dc7e9249f23","observation_id":"23664bde-1814-43ba-ad3a-4f36796d477c","resolution":{"observed_at":"2026-08-07T23:47:42.327412Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.313016Z","title":null,"venue":null,"work_id":"3af6605e-8567-4e69-9e35-3dac8699235e","year":2013},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.820202Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:19d14e0d6ca53e5d8451c9379dbd7de3eb559dab127c454414799f0f5707ce6f","observation_id":"20dfea0f-fdd7-44f6-a496-4262b62a00e0","resolution":{"observed_at":"2026-08-07T23:47:42.317060Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:41.823737Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.823737Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:c0a9a6cea64d5cb5b0a3078d8b5ee2276ff52fae799ef24ff717106841a0e0f5","observation_id":"236bc27b-c730-4858-b29a-4257e5179fe7","resolution":{"observed_at":"2026-08-07T23:47:41.823737Z","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":"2026-08-07T23:47:42.296131Z","title":"Ionescu, B","venue":null,"work_id":"a94aa23a-3860-447e-8d18-a1d0eb0cd8f4","year":2012},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.827200Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:cd9967ff1e55d46289be10f99983931ddfad1fd3ec12d8f877b4090e194573d4","observation_id":"6345cc05-5198-4bc2-83be-0441f307a41b","resolution":{"observed_at":"2026-08-07T23:47:42.299963Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:41.830616Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.830616Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:e3e04034da43cd53159f2d5876e2b0496887f5a02a3c884fe1a2047890909b0c","observation_id":"6364202d-bb57-478e-a898-684721749f4a","resolution":{"observed_at":"2026-08-07T23:47:41.830616Z","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":"2026-08-07T23:47:42.279727Z","title":"Ivanovici","venue":null,"work_id":"c4b87771-58d6-49ae-90fb-e17f887b7df9","year":2010},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.834342Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:934140f5525938f6733d6cc96839fe017b0ef60ad6c9e2513ed2542baf1fac35","observation_id":"3b62aa25-a387-4c9d-b0f9-276d17671a6a","resolution":{"observed_at":"2026-08-07T23:47:42.283152Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.269797Z","title":"Keel and T","venue":null,"work_id":"6f204391-c267-46d8-9db3-a572b8f29cf7","year":1998},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.837700Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:cb0d005f1d698794ac1cfe0bf710c0132817febcddc2ab879d881496cb585ce1","observation_id":"9b6e0a2e-21d9-4c15-a8ae-0ef399f66e0f","resolution":{"observed_at":"2026-08-07T23:47:42.273284Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.259419Z","title":null,"venue":null,"work_id":"096a1931-856f-4822-8037-6d1e7696578b","year":2011},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.841171Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:65967f58da1bc11a58a265e61386d1f0f779541a96e5c25fd2dccec613aa6d15","observation_id":"45938306-e6c3-45b7-8fc5-eb06e72bf894","resolution":{"observed_at":"2026-08-07T23:47:42.262997Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.248696Z","title":"Killip and M","venue":null,"work_id":"fb11d990-3581-4faf-8857-043a53a677c9","year":2010},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.844721Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:6c73aeae915670d1429a47b8cd3a77cc106797d7e2363f03dfa9a6379856e148","observation_id":"e8ec70e3-3c37-4084-b468-dec89d0fa50c","resolution":{"observed_at":"2026-08-07T23:47:42.252313Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.238513Z","title":"Kuksin and A","venue":null,"work_id":"2afe2e63-81d1-4b9a-ad15-accab1c154eb","year":2004},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.848182Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:7b40b217b6cd44d1e1d16ee886ddb3cbc0ab99d9741e80c8584981ba199064a4","observation_id":"53c1ae56-9cf0-4658-88b6-975d2a8ba583","resolution":{"observed_at":"2026-08-07T23:47:42.241986Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:41.851728Z","title":"Kuksin and A","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.851728Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:f5f77e3a5ab8118d45934d8247d0c3fb1c89e884afc79c517348df8ffa85ca87","observation_id":"472aafea-21e1-4def-9453-2fe2d92a4d1e","resolution":{"observed_at":"2026-08-07T23:47:41.851728Z","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":"2026-08-07T23:47:42.221635Z","title":null,"venue":null,"work_id":"b3707419-9112-4ee1-a1a0-b529d146c095","year":2004},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.855370Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:58a4d023ac43980493f8def56e161921f0592a7339823cd53d24f51bdf5c05be","observation_id":"51cf6de1-9284-4d02-a643-84a3b3805964","resolution":{"observed_at":"2026-08-07T23:47:42.225201Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.211725Z","title":null,"venue":null,"work_id":"7b701298-a376-470a-8725-2fb4c3c9fddc","year":2023},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.858871Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:21ce02ec6538a81a769bdee75782d32c9c720d0cb4254bb36dc06d3f497a36ee","observation_id":"8bcf0019-76d4-44e9-9532-e822b665fd45","resolution":{"observed_at":"2026-08-07T23:47:42.215358Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.201645Z","title":null,"venue":null,"work_id":"5801d96e-6714-4577-a8ab-4e3aba472663","year":1988},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.862432Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:6d092614e3906cf0d3e897e88f3bddc44d07c3522b6c676f1ce52f1bbbb784b0","observation_id":"d03ba533-1bd6-4dec-be80-495c1d971c0c","resolution":{"observed_at":"2026-08-07T23:47:42.205244Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.191751Z","title":"Merle, P","venue":null,"work_id":"5c7591a9-bf67-453f-adaf-a0023d0a34bf","year":2022},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.866193Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:b08f061e5fe6d96d20043c9bdef7502879ebe7e583a46dc647a30923be3eded2","observation_id":"c686e33a-1f6c-43ac-9269-2b2b1507a9e1","resolution":{"observed_at":"2026-08-07T23:47:42.195204Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.180536Z","title":null,"venue":null,"work_id":"6c6af4ec-333d-4cf2-9761-5fcf0d338e1b","year":2012},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.869629Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:c1460f382944d96bd4904eae1d756a9cc458e69a8b243280875d2e701f0256d0","observation_id":"67439c30-1412-4566-8488-054ec817d3d9","resolution":{"observed_at":"2026-08-07T23:47:42.185104Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.171053Z","title":"Pausader, N","venue":null,"work_id":"7637bd66-3aa8-4e94-b849-a5b4881e37c0","year":2014},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.872957Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:20a687432d7efe63e62ea813a50099872bc453b4e96cce76da881f38b72f1777","observation_id":"df00bd65-cc35-4752-8860-749c8d32416f","resolution":{"observed_at":"2026-08-07T23:47:42.174387Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.161364Z","title":"Ryckman and M","venue":null,"work_id":"e9c52dfc-1b14-45c9-bfca-c637c433876f","year":2007},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.876468Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:5b4db03f7abd13e4ad2075bbcc35f838d44b4eb8e686b44b7df03697494a8575","observation_id":"46e6b6be-a8a2-4402-946f-7346461dd48e","resolution":{"observed_at":"2026-08-07T23:47:42.164812Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.151137Z","title":"Shirikyan","venue":null,"work_id":"383f086e-d09d-4401-8e0f-903223f57aff","year":2011},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.879756Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:885f792bbe0c84e2c6b89c9702432d4863b5a8d01fcd90411ee92a4ee6b814da","observation_id":"5c77fd03-7f71-441c-8501-fc39166e387f","resolution":{"observed_at":"2026-08-07T23:47:42.154610Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.141042Z","title":null,"venue":null,"work_id":"4b696bde-571d-4e98-9bb7-e4135d6c2ba9","year":1988},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.883060Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:6c6c2245c8e4c634ae4ffc90c92dc127d7701d467a95f43792e5bc39e8195fad","observation_id":"6a116ce1-6ee8-4699-8615-be326a1fba2b","resolution":{"observed_at":"2026-08-07T23:47:42.144583Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.130664Z","title":"Staffilani and D","venue":null,"work_id":"59066682-d3d8-4e7b-a2fe-6c1a2c033eb7","year":2002},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.886358Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:efc8b7b1a5c28dc328260dcb8583337303ba6fe7ec11db468e886d08635aadc2","observation_id":"3a4e9fbf-6ba8-4376-874e-919983dfe5f5","resolution":{"observed_at":"2026-08-07T23:47:42.134337Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.120581Z","title":null,"venue":null,"work_id":"2812bfdf-35b4-4b75-8e46-0f2142d1a633","year":1977},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.889968Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:3bcef9b15e7e93ff9029631244ca5f7c492a96c6a241ac26ccd5e608a3c5b2b0","observation_id":"55f912dd-71f9-494c-bce9-f608171c41e2","resolution":{"observed_at":"2026-08-07T23:47:42.123957Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.109682Z","title":null,"venue":null,"work_id":"50b8a887-116f-425c-96da-0347eec7d0e1","year":2018},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.893382Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:1368521420fbd71fca015686a0e35a34c5bcf7e70d61d9da657100ee1e912e64","observation_id":"3b11c9c3-bef0-41ce-9c7d-409f8a256260","resolution":{"observed_at":"2026-08-07T23:47:42.113414Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.098447Z","title":null,"venue":null,"work_id":"cd0d2eab-5bb9-4007-8486-7f39b08c363c","year":2019},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.896906Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:d070210c6305c6c20138492abe41f38caa4b5fc2cf3c6adb4404dcb905167a26","observation_id":"0e42812c-cb58-4b06-aeb2-302108f3ae42","resolution":{"observed_at":"2026-08-07T23:47:42.102081Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.087985Z","title":null,"venue":null,"work_id":"cd04af81-2cf9-42b4-9c0e-8d5c36372bd1","year":2021},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.900508Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:e9dd0fe0486ec81426c91b0cff47bca11b33ca02370b23e272f783421360b4c5","observation_id":"725c24a7-8ffb-44d4-8569-97f117bf7db6","resolution":{"observed_at":"2026-08-07T23:47:42.091537Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2007.00766","last_updated":"2021-08-18T19:20:49Z","snapshot_observed_at":"2026-08-12T10:51:20.527922Z","submitted_at":"2020-07-01T21:22:59Z","title":"Almost sure global well-posedness for the energy supercritical NLS on the unit ball of $\\mathbb{R}^3$","version":3},"cited_work":{"arxiv_id":"2007.00766","doi":null,"metadata_source":"pith","pith_arxiv_id":"2007.00766","snapshot_observed_at":"2026-08-07T23:47:41.966411Z","title":"Almost sure global well-posedness for the energy supercritical NLS on the unit ball of $\\mathbb{R}^3$","venue":"math.AP","work_id":"d3924e2f-6cc2-4349-85b0-dd40c3f2094d","year":2020},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.904196Z"},"links":{"cited_paper":"/paper/2007.00766","citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:e2ce345682dd7172a402cf4b716ada043b9a98c9981518b6676993edbb57d7f0","observation_id":"88029041-1c60-4804-b556-b39c94676c48","resolution":{"observed_at":"2026-08-07T23:47:41.972105Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.077667Z","title":"Sy and X","venue":null,"work_id":"845090b8-ac83-4c2f-b1b6-8581d52455cf","year":2022},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.911501Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:92cda720296035fdb2b4c5aabf00ebbf19be95579ca2c3d39e4f84e9b31adff0","observation_id":"4bb1e0ec-4d79-4ec7-9a11-b04d72f88720","resolution":{"observed_at":"2026-08-07T23:47:42.081145Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.067556Z","title":"Sy and X","venue":null,"work_id":"1e1dfd0c-c417-482f-9b7a-8cd332d9683b","year":2020},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.914912Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:e7f23a8b5934fccd3ac84249938a3deb5b3a92a20f0a2e54473d9d9c2b1315e6","observation_id":"bfe0459e-e247-4928-a1c8-3d726d02aa58","resolution":{"observed_at":"2026-08-07T23:47:42.071026Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.057391Z","title":null,"venue":null,"work_id":"a5bdb5ef-e143-4f1a-b303-860c5f1cb46a","year":2005},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.918866Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:1059c9b3c3b790bc7e8f9d473c04f96121624bfdd1357ff2baa3ab2cec010b29","observation_id":"a6541c67-7832-42bd-800d-494af462476f","resolution":{"observed_at":"2026-08-07T23:47:42.060864Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:41.922134Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.922134Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:089491198b7366436e3c5ffdfeb44ef2a9c1f660a8a729541d2b7837c9530d2e","observation_id":"74146d6f-41a2-4236-a7fe-94f177108fd3","resolution":{"observed_at":"2026-08-07T23:47:41.922134Z","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":"2026-08-07T23:47:42.040716Z","title":"Tzvetkov","venue":null,"work_id":"9347ff8f-e3e3-4c9f-b0a2-2e6ec8f428dc","year":2006},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.925485Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:1e4cd2b26f0fc3fbe015eefb87d6ec0290a5a0d411116f1464b89f297288aac6","observation_id":"9a5897e4-4bff-4289-98a9-620828e1c39e","resolution":{"observed_at":"2026-08-07T23:47:42.044228Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.029831Z","title":"Tzvetkov","venue":null,"work_id":"51b7d249-eb54-43b0-bb6f-4540a4ea70ad","year":2008},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.929136Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:31370a8f138dd884be52129945216940c8f300d8cf80b60bc4e159e8eb5a9bc4","observation_id":"be06eb23-635b-4c07-8b19-df45b2c24725","resolution":{"observed_at":"2026-08-07T23:47:42.033596Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.019200Z","title":null,"venue":null,"work_id":"4ee103d9-7fae-4ba8-a0ca-c5f8c735db18","year":2007},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.932703Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:100121a86ef548d276773ab88d4d1e789e9fff1472fec0d3e021e0fdb8091e7d","observation_id":"b45afc46-6f56-4d36-95a6-736a1a14c7da","resolution":{"observed_at":"2026-08-07T23:47:42.022844Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:47:42.008345Z","title":null,"venue":null,"work_id":"44a0ed19-0053-494a-9487-274e057bea2a","year":2016},"citing_paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-07T23:47:41.936012Z"},"links":{"citing_paper":"/paper/2502.08812"},"observation_digest":"sha256:5dcf86c2f74ca54ca5cd3cc78f4055f11b9972c188b6b5843ef42504d074cc4e","observation_id":"d559ea38-ff39-454f-9c9f-b67e10cda07a","resolution":{"observed_at":"2026-08-07T23:47:42.011946Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2502.08812","last_updated":"2025-02-12T21:51:43Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-12T06:07:16.141409Z","submitted_at":"2025-02-12T21:51:43Z","title":"Probabilistic global-wellposedness for the energy-supercritical Schr\\\"odinger equations on compact manifolds"},"reference_resolution":{"displayed":64,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":30,"verified_exact":3,"verified_fuzzy":31},"total_outbound_references":64},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 0 inbound Pith citation observations for arXiv:2502.08812."}