{"as_of":"2026-08-14T15:56:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:581b73bb3e3aacfb5b3863db4408e40b61f41477bd6af381a63ea71d5a1c0353","coverage":[{"denominator":122,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T11:48:18.529345Z","state":"measured"},{"denominator":102,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":102,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-09T05:21:50.042171Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-09T05:26:02.058182Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"cited_work":{"arxiv_id":"2509.02344","doi":null,"metadata_source":"pith","pith_arxiv_id":"2509.02344","snapshot_observed_at":"2026-07-09T05:26:02.058182Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","venue":"math.AP","work_id":"de9b988f-0fb2-40ce-a982-8b72797b21e3","year":2025},"citing_paper":{"arxiv_id":"2607.07618","last_updated":"2026-07-08T16:33:53Z","snapshot_observed_at":"2026-08-06T15:12:27.514394Z","submitted_at":"2026-07-08T16:33:53Z","title":"Fourier restriction norm method adapted to controlled paths: stochastic wave equations","version":1},"reference_index":104,"source":"pdf_text","source_observed_at":"2026-07-09T05:21:50.042171Z"},"links":{"cited_paper":"/paper/2509.02344","citing_paper":"/paper/2607.07618"},"observation_digest":"sha256:311ca1b36f24d9b7e35fed51a16c7298416ab36e371ad1574d6a2b4f40df7818","observation_id":"e2051bf4-4e25-47fe-bded-5df4e3d09318","resolution":{"observed_at":"2026-07-09T05:26:02.060182Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"cited_work":{"arxiv_id":"2509.02344","doi":null,"metadata_source":"pith","pith_arxiv_id":"2509.02344","snapshot_observed_at":"2026-07-09T05:26:02.058182Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","venue":"math.AP","work_id":"de9b988f-0fb2-40ce-a982-8b72797b21e3","year":2025},"citing_paper":{"arxiv_id":"2607.07628","last_updated":"2026-07-08T16:43:59Z","snapshot_observed_at":"2026-08-06T05:33:27.894269Z","submitted_at":"2026-07-08T16:43:59Z","title":"On probabilistic ill-posedness","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-07-09T05:13:04.941635Z"},"links":{"cited_paper":"/paper/2509.02344","citing_paper":"/paper/2607.07628"},"observation_digest":"sha256:5241cf08af1c8c417e61a79bb02811fefcf941fcf12f31702a658d39bb96c015","observation_id":"d1a86b71-f278-43a9-ada3-b561f575fa5d","resolution":{"observed_at":"2026-07-09T05:15:59.164467Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2509.02344/citation-record","integrity":"/paper/2509.02344/integrity","json":"/paper/2509.02344/citation-record.json","paper":"/paper/2509.02344"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.238178Z","title":"Bass, Stochastic processes, Cambridge Series in Statistical and Probabilistic Mathematics, 33","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.238178Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:8c9d55da6a66e96219855e64d891b05efb5eeecef912d454b26c08d2043fd421","observation_id":"d5b188d4-c6d2-4887-81fc-b0a420799627","resolution":{"observed_at":"2026-08-05T11:48:18.238178Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.242060Z","title":"Benjamin, J.L","venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.242060Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:17bf48b4881aa28c69a5af798210295721317a4a01e72e6415b70278e926ceb9","observation_id":"00cdca6f-5149-4447-86a8-3122bb6efd85","resolution":{"observed_at":"2026-08-05T11:48:18.242060Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.245543Z","title":"B´ enyi, T","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.245543Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:b291e2c2a9d53ce3f152cd2bb62a3372e15d527f640dacad554fb5ef1b96dd79","observation_id":"3b2ef9da-54c1-41d0-9372-8a5cc6d37c09","resolution":{"observed_at":"2026-08-05T11:48:18.245543Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.248806Z","title":"B´ enyi, T","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.248806Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:f54d1e6a572aa50da9824c2800d1b7c0adb55de29bbd75fb156ef643a56e2b04","observation_id":"1e8f5f3e-23bc-47a5-bac2-82ced967c6a8","resolution":{"observed_at":"2026-08-05T11:48:18.248806Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.252054Z","title":"B´ enyi, T","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.252054Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:ad95b1ee8813f02dc0b51fc17b275c05609348d01ee5eceecb7f17df906ff70b","observation_id":"6f476ba8-e5f0-4231-9ca3-89ff30a87911","resolution":{"observed_at":"2026-08-05T11:48:18.252054Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.255060Z","title":"B´ enyi, T","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.255060Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:22c9b6c3ac4094fe9f241b90b292a97fe7f759e2f46462c9275ef87aeee0e491","observation_id":"3728d611-4435-4774-a0e7-e010cf2a7724","resolution":{"observed_at":"2026-08-05T11:48:18.255060Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.258355Z","title":"B´ enyi, T","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.258355Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:5f18d24c26b052eff571e5a639f8bdcead13b0021c265e41502311564cd3b07b","observation_id":"1b633051-fb73-4e76-ae79-1ad0561f0221","resolution":{"observed_at":"2026-08-05T11:48:18.258355Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.261168Z","title":"Bertini, N","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.261168Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:01dbe37f74bcec3a9d63d33995994987fe6cd92904d065385a7f8f38acb97cb4","observation_id":"af4a6e4c-5c75-45c5-b48f-c9558f8081a9","resolution":{"observed_at":"2026-08-05T11:48:18.261168Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.264078Z","title":"Bierm´ e, O","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.264078Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:a6d13afa38171051995ce0176e1a091ac38ec97bd30798d28ba691031ae9848f","observation_id":"a430e166-117c-4e77-a46f-7660621ec9a5","resolution":{"observed_at":"2026-08-05T11:48:18.264078Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.267008Z","title":"Billingsley, Convergence of probability measures, Second edition","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.267008Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:99d7003f00ac5ac5ed80338aa9e6db3a4c7d99832ce576d09a7d55bbcbbee4e7","observation_id":"7afc6ff0-0846-445e-9ba3-6c2c8bbce3aa","resolution":{"observed_at":"2026-08-05T11:48:18.267008Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.270614Z","title":"Bona, P.J","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.270614Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:39e773ed474619463f08a50bd54f38f852fc7111acaa2886a7f433a20bd68c35","observation_id":"5f768074-f6ce-4469-b5a0-a1ee3e00a6cd","resolution":{"observed_at":"2026-08-05T11:48:18.270614Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.273649Z","title":null,"venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.273649Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:e2c9710fc8b4a73cc93892a4fed2ab94c70a9d9a002416b8840d0652646bb9af","observation_id":"3d5a7823-55f4-4acf-8629-891e15783455","resolution":{"observed_at":"2026-08-05T11:48:18.273649Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.276926Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.276926Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:25f138d89e1dde50e8c7125479717891aacc06bc1ac14b03773d32ac9a808882","observation_id":"57141315-aa50-47d7-8c24-f1c3e259bb5a","resolution":{"observed_at":"2026-08-05T11:48:18.276926Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.279678Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.279678Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:4b529f469cbc7e333b05784a8c2570ae3e9bdf30cfdcfabc6e12a66ab744d0ec","observation_id":"a69011b9-56c7-4d48-ae83-e26219a52871","resolution":{"observed_at":"2026-08-05T11:48:18.279678Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.282578Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.282578Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:1e29c6d9c7ac21c154e24e8473d7eacc6f9a87888d9b6aa9cec0e2d91ba3721d","observation_id":"76164718-9f12-4123-9f33-3e2594e4c297","resolution":{"observed_at":"2026-08-05T11:48:18.282578Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.285363Z","title":"Bourgain, Periodic nonlinear Schr¨ odinger equation and invariant measures, Comm","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.285363Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:e29caaa5fff6c6c0db63653ad698f91588d8ba8eaa9624fc21aa03d4deb19027","observation_id":"12182a44-6313-484a-bb74-4357bc003463","resolution":{"observed_at":"2026-08-05T11:48:18.285363Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.288108Z","title":"Bourgain, Invariant measures for the 2D-defocusing nonlinear Schr¨ odinger equation , Comm","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.288108Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:11ec09da3fb76c7b1acf8787830a405ffd81dec3e84b2588a8018363cdbf695e","observation_id":"bf4538b4-9f96-4ee6-a780-1228e2b0b04a","resolution":{"observed_at":"2026-08-05T11:48:18.288108Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.290788Z","title":"Bourgain, Periodic Korteweg de Vries equation with measures as initial data , Selecta Math","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.290788Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:10e3cdafb284d08c5318b405719053566fde7ef91505d456c4753ae4f711866f","observation_id":"71932a96-69b2-4c7a-8c3e-8416f31b51b3","resolution":{"observed_at":"2026-08-05T11:48:18.290788Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.293641Z","title":"Bringmann, Almost sure local well-posedness for a derivative nonlinear wave equation , Int","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.293641Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:05a187b3f3a7ac196e60436191011c6b51003d97c7da2876eef5215a1e2d64d6","observation_id":"e9fb8d84-d903-4639-889e-1e99f9cd883e","resolution":{"observed_at":"2026-08-05T11:48:18.293641Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.296397Z","title":"Bringmann, Invariant Gibbs measures for the three-dimensional wave equation with a Hartree nonlin- earity II: dynamics , J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.296397Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:7924be3bed10b15d09f242004207b38d776e66403b5bad7876fea244dd46e47f","observation_id":"a531d0f5-bf20-4941-bc0c-f89190b2281c","resolution":{"observed_at":"2026-08-05T11:48:18.296397Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.299071Z","title":"Bringmann, Y","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.299071Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:c0fa53926f5a59ae56e5f3ad0ff65583bf49847d4bfb45669cdcd36b3fe9aa93","observation_id":"9fe05536-3c1c-4bce-97c1-5ae171e42caf","resolution":{"observed_at":"2026-08-05T11:48:18.299071Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.301920Z","title":"Brydges, G","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.301920Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:00af6d21eb95ed92941f46e0c827e0c0f24c26c1449ab84fd2fa877fa8e29b2f","observation_id":"97880057-b517-4da3-a126-2e45ad730043","resolution":{"observed_at":"2026-08-05T11:48:18.301920Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.18229","last_updated":"2025-06-24T08:50:08Z","snapshot_observed_at":"2026-08-13T18:21:26.308413Z","submitted_at":"2024-04-28T15:48:44Z","title":"Probabilistic well-posedeness for the nonlinear Schr\\\"odinger equation on the $2d$ sphere I: positive regularities","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.18229","snapshot_observed_at":"2026-08-05T11:48:18.304753Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.304753Z"},"links":{"cited_paper":"/paper/2404.18229","citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:618a84260bf77eb0e1fcb28cdcbf8ccf2f5a04ad4709660fd0e1a578344346a2","observation_id":"4d8f3779-0213-4e5a-9823-fd8384a5e98b","resolution":{"observed_at":"2026-08-05T11:48:18.304753Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.308175Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.308175Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:2dda483357d766f2a6cbd8251f0f49db12557925e05ee971e5274cb236781fd2","observation_id":"4fa5ae85-4187-4168-ba83-53835b34a20d","resolution":{"observed_at":"2026-08-05T11:48:18.308175Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.310991Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.310991Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:5e74c8028b2454d97a1208ad5d3179b79546df89f5a551bab2d2eb8872eac0a8","observation_id":"0e8e5455-5ff8-475b-a8b1-df569a8b5c02","resolution":{"observed_at":"2026-08-05T11:48:18.310991Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.313664Z","title":"Caravenna, R","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.313664Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:39aa3216046781c66fdcefd5795b93dfb7d29c4bf9626d093300aff3b364bc05","observation_id":"163de24b-d76b-4460-b742-08b31f2024a7","resolution":{"observed_at":"2026-08-05T11:48:18.313664Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.316680Z","title":"Caravenna, R","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.316680Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:26131408a5d3e25f56b16d047b7f92de22b2ae3e51264934f9f4b3e750fee315","observation_id":"94a8c63d-68e8-4cd7-8687-319076ac69c7","resolution":{"observed_at":"2026-08-05T11:48:18.316680Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.319702Z","title":"Chatterjee, A","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.319702Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:432c131aba305b0f7de245c263552f0d31ecf1fc922e3ee253a78c64f3273071","observation_id":"dfb787af-e950-42d3-a18e-e8c1c4cde3e0","resolution":{"observed_at":"2026-08-05T11:48:18.319702Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.322515Z","title":"Chevyrev, T","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.322515Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:fdc7ef403b24cd630264192d5f884910690f966164497e5784978503333e65df","observation_id":"c22948b4-7b47-4ab1-b7b1-0d32ea0debff","resolution":{"observed_at":"2026-08-05T11:48:18.322515Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.326513Z","title":"Colliander, T","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.326513Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:35ed34951f78d14591db5a1c2cba9edc31efe58a94cba13ea9721d1758de8eba","observation_id":"f02f3cd6-0e3a-471a-b688-86d8a6da7bf7","resolution":{"observed_at":"2026-08-05T11:48:18.326513Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.329282Z","title":"Collot, P","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.329282Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:6814ec8a13eb1ff54950a408cb16aa5a97824bf0b12d6798bb44303e80d44f66","observation_id":"81ba3327-7db8-4335-81bd-c5a4f626b64e","resolution":{"observed_at":"2026-08-05T11:48:18.329282Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2007.03508","last_updated":"2020-07-07T14:43:53Z","snapshot_observed_at":"2026-08-11T17:46:53.203889Z","submitted_at":"2020-07-07T14:43:53Z","title":"Derivation of the homogeneous kinetic wave equation: longer time scales","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2007.03508","snapshot_observed_at":"2026-08-05T11:48:18.331931Z","title":"Collot, P","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.331931Z"},"links":{"cited_paper":"/paper/2007.03508","citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:62fe29e5cf80f44d443a08ca1169d7b81987874ed047d6a5a9feb76d6bfe9f7e","observation_id":"c015ca85-a311-442a-89ed-3f70d0f23584","resolution":{"observed_at":"2026-08-05T11:48:18.331931Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.335070Z","title":"Comets, C","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.335070Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:c953a556dfdc67efa9c1485f8216163bb2ceb1338c7db3c16e841d2145743718","observation_id":"a3f003ed-abb2-4903-8dc7-366a5882fc46","resolution":{"observed_at":"2026-08-05T11:48:18.335070Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.337984Z","title":"Coutin, Z","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.337984Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:f1019a87bca10750a13595d6557099e4a31a662592f9673d6ceb46c4e75d7365","observation_id":"2a2f85e4-61cf-4f1e-b681-8b18530b30d4","resolution":{"observed_at":"2026-08-05T11:48:18.337984Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.341454Z","title":"Da Prato, A","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.341454Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:585e43aeac976f1370aada181261b7a5ba3892ebc7bb924db8bf52ddd684cb91","observation_id":"c7d7275c-3674-47b1-8ac4-ea8d68888f1c","resolution":{"observed_at":"2026-08-05T11:48:18.341454Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.344231Z","title":"Deng, Recent progress on the mathematical theory of wave turbulence , Extended abstracts 2021/2022?Methusalem lectures, 95–104, Trends Math., Res","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.344231Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:24c2730a260e940a4262a89dc986ae6859e7068461da42d53007838e6e58a42d","observation_id":"524a2202-550e-4fef-80e7-d5629fbef570","resolution":{"observed_at":"2026-08-05T11:48:18.344231Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.347004Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.347004Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:c14f910e0f53f40c265d8a0f5756653e02a7dea728275679eb68ad8e4ae5da1f","observation_id":"22828be2-c2b2-4f54-ab1c-d71158a1d4ef","resolution":{"observed_at":"2026-08-05T11:48:18.347004Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.349926Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.349926Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:e7d39a3d6bd24e344efb8e8a1a19f88a28e4a82e6b8fefd7a052019ca35503ac","observation_id":"3592eba8-5f6b-45e2-a29a-da77d4d0fd54","resolution":{"observed_at":"2026-08-05T11:48:18.349926Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.352896Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.352896Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:57892a5d1d070b4ec6b734f2395967e4477f3030fad4fa0234a0178915ddcd9a","observation_id":"d5bb7846-0a8a-4b9e-8d27-0cb9fbc870d2","resolution":{"observed_at":"2026-08-05T11:48:18.352896Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2207.08358","last_updated":"2022-07-18T02:44:00Z","snapshot_observed_at":"2026-08-13T15:02:31.137623Z","submitted_at":"2022-07-18T02:44:00Z","title":"Rigorous justification of the wave kinetic theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2207.08358","snapshot_observed_at":"2026-08-05T11:48:18.355759Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.355759Z"},"links":{"cited_paper":"/paper/2207.08358","citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:aedbd34607eaca7a5b3145185e89e9063060dbf98fc4583729b98f4e52e6d030","observation_id":"6cc6766f-ddc5-4b14-9011-60c6345cf30d","resolution":{"observed_at":"2026-08-05T11:48:18.355759Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2301.07063","last_updated":"2023-03-20T01:04:52Z","snapshot_observed_at":"2026-08-13T13:03:01.420736Z","submitted_at":"2023-01-17T18:27:15Z","title":"Derivation of the wave kinetic equation: full range of scaling laws","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2301.07063","snapshot_observed_at":"2026-08-05T11:48:18.359083Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.359083Z"},"links":{"cited_paper":"/paper/2301.07063","citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:1dc18d66aa0727f451bab75a6e2e0295c5fddf41c50f513738d261bb2592feb8","observation_id":"f07e6f92-7404-46c3-ad76-320451abf451","resolution":{"observed_at":"2026-08-05T11:48:18.359083Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.362273Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.362273Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:e5bf53eb12eda38ca2ce7cd35922fbf2a5b224a274f33bc22ed5de9c30b8c34d","observation_id":"7cbf0c77-ca8a-44ab-b905-5b8d8f0439e3","resolution":{"observed_at":"2026-08-05T11:48:18.362273Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.365383Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.365383Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:ec62422f236ae61ff9e17ce1f76cff8125a328c49664e7a802abc6c32f04bfe6","observation_id":"633c6e26-b58e-4111-b753-96c2a0e7a8fe","resolution":{"observed_at":"2026-08-05T11:48:18.365383Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.368071Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.368071Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:cba00f5a18c33253ccf9c279893b04bd92b1490c430212d88300fc0afd3dda30","observation_id":"d28c7443-773b-4619-96b9-ff58a6d35829","resolution":{"observed_at":"2026-08-05T11:48:18.368071Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.371088Z","title":"de Suzzoni, Wave turbulence for the BBM equation: stability of a Gaussian statistics under the flow of BBM , Comm","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.371088Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:73f1c5929ef2cd5e07961dcf62a35fef5cec9106191831e6a633ca3dd4202a48","observation_id":"5c5a386e-7073-4045-9642-60d59b998c35","resolution":{"observed_at":"2026-08-05T11:48:18.371088Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.374021Z","title":"de Suzzoni, Continuity of the flow of the Benjamin-Bona-Mahony equation on probability measures , Discrete Contin","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.374021Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:4d2ab611b8495b898dc12d2d89b3f77596554962b39ca92770e1baf42f40324d","observation_id":"8770a26b-70d8-4ca7-84e7-41530215a092","resolution":{"observed_at":"2026-08-05T11:48:18.374021Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T11:48:18.376974Z","title":"de Suzzoni, N","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.376974Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:d3a67b3896a734322892241916370760f9b163fae9f9c55e8f27b2dd4c157220","observation_id":"1b081304-a875-4120-8f99-2781ca86b75d","resolution":{"observed_at":"2026-08-05T11:48:18.376974Z","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":"2026-08-05T11:48:19.485782Z","title":"Deya, On a non-linear 2D fractional wave equation , Ann","venue":null,"work_id":"eafd68da-918e-4d64-a37e-03af10308f22","year":2020},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.379648Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:d5d73f62aea68aa5ad5b1be571d7f756f7f717a0e8df957b12aa00be172769e0","observation_id":"f792aab9-53fa-4a33-afbb-ef4a4682dc5c","resolution":{"observed_at":"2026-08-05T11:48:19.488654Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.476641Z","title":"Dunlap, Y","venue":null,"work_id":"ee0a7192-ee44-4b4f-9390-107e59804d92","year":2022},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.382525Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:24fd61be74d75243920df4edab0adaf842322d7b45e959516f75392f177c5e4f","observation_id":"8aa87493-4911-477a-a180-2950e06dd39e","resolution":{"observed_at":"2026-08-05T11:48:19.479605Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.466409Z","title":"Fernique, Processus lin´ eaires, processus g´ en´ eralis´ es, Ann","venue":null,"work_id":"bf24c5c1-2522-4f0b-9413-dfe6b1007e8b","year":1967},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.385321Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:7665c46e9f539166211b480c68259fd9772406d1ec373d200de87f983924aa7f","observation_id":"4348a635-a3b9-4cb1-a7a3-4875abde7afd","resolution":{"observed_at":"2026-08-05T11:48:19.469783Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.456685Z","title":"Forlano, Almost sure global well posedness for the BBM equation with infinite L2 initial data, Discrete Contin","venue":null,"work_id":"08116038-13f8-41f9-aa63-f7e57784a59a","year":2020},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.388536Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:90e6a7180a1594575c93b4c8cd7a81779fed5a615a6f8933ccfec63cb23305a1","observation_id":"ce4ada24-ccb0-4401-ae90-31bc025f3eff","resolution":{"observed_at":"2026-08-05T11:48:19.460015Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.447477Z","title":"Forlano, T","venue":null,"work_id":"7c372cca-54f0-42d7-b85d-4834cd0ec7dc","year":2020},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.391312Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:67528fef7d3e30ff3c44d79c56d1407935a0fb3e7f747d8d6e48a5f4e1e3b357","observation_id":"70df81f2-a632-45ee-8ebc-29dd94fee1ec","resolution":{"observed_at":"2026-08-05T11:48:19.450646Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.438012Z","title":"Gabriel, T","venue":null,"work_id":"31c9cb08-09b3-4ac8-9e4c-e997b539e00e","year":2025},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.394199Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:ff2aacffa8758dc156c8e8dd8c21a5272ca4abfa57edb3dab675fcd4299bc82f","observation_id":"20e4faa4-fd5d-4bf2-9970-f9a7d938eccb","resolution":{"observed_at":"2026-08-05T11:48:19.441474Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.427946Z","title":"Gerencs´ er, F","venue":null,"work_id":"2f4052c1-6e81-4d84-a822-6213d793bf2a","year":2025},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.396829Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:6932984ccfb7aec8b27abecb8dd01d3c1c3c147cadb69f060e0899f91ad6c5ec","observation_id":"ddbec874-f9f1-4c94-bd7f-ffd2afa0be7b","resolution":{"observed_at":"2026-08-05T11:48:19.431443Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.417980Z","title":"Ginibre, Y","venue":null,"work_id":"fb564116-3050-45fd-b238-05e44123f5ac","year":1997},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.400182Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:b9e0869d5d46e4f74ae670ef8ea189d90e8304d72309431ac942fb1679aad82d","observation_id":"44cadb86-ab20-4dcd-ace7-344803629583","resolution":{"observed_at":"2026-08-05T11:48:19.421187Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.408434Z","title":"Greco, T","venue":null,"work_id":"4dad3e24-b009-428a-9653-783b8eb59f06","year":2025},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.403233Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:2f314e0f75e01be1e3ed2d1203ccc94a337513ab06baf0d258cac0f5bb4e622b","observation_id":"20e9bea4-a597-4dff-9f76-d0d2733db279","resolution":{"observed_at":"2026-08-05T11:48:19.412236Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.397971Z","title":null,"venue":null,"work_id":"ed048152-7b53-4000-8407-e222f978ab02","year":2021},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.406231Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:152380822679874681ea9ab7f48d7db7bf2d6576d841aa805cb5f329c60be6c1","observation_id":"9256292e-0ed4-4fe6-bc89-95c2833a8b85","resolution":{"observed_at":"2026-08-05T11:48:19.400952Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.388482Z","title":null,"venue":null,"work_id":"249452f7-87fd-493c-88d0-e40ea2e50860","year":2018},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.409244Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:2739a42fb26bd5a9703f8792e42bb3fdc680b49d7c5ab1de431cdab0c8871ad1","observation_id":"d3db9e51-c6ac-4fc6-b0b7-4cb02177266d","resolution":{"observed_at":"2026-08-05T11:48:19.391472Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.364741Z","title":"Gubinelli, H","venue":null,"work_id":"fadd73a8-bf0d-423a-a4b6-3050b1fdf608","year":2018},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.412256Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:3e4ef6b96c4091189517c18049df60a384eab6e0a61dabea92504bc04d0f271a","observation_id":"e016c2d5-403c-4daa-a1dc-95a8f3ea6e15","resolution":{"observed_at":"2026-08-05T11:48:19.374060Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.329567Z","title":"Gubinelli, H","venue":null,"work_id":"95d3de8d-59e6-45f6-9671-5fe6dd3d458d","year":2024},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.415181Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:016496d8014c6a3ec7740ab0d9fb4ae18505e62988c6c7943b3d457cec6f3798","observation_id":"567f1bc4-5e06-4031-99ba-ce3bffe449c6","resolution":{"observed_at":"2026-08-05T11:48:19.332889Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.280699Z","title":"Gubinelli, H","venue":null,"work_id":"ab97e209-142c-46b4-8ee1-80e8ff373972","year":2022},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.418107Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:71fa4393aea96947ce165d483276508bf361336accf33900ac9469ab47e3c946","observation_id":"4839718c-fd2c-4d83-ba6d-47616aa0f9cc","resolution":{"observed_at":"2026-08-05T11:48:19.284743Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.257631Z","title":"Gubinelli, N","venue":null,"work_id":"307222ce-5eeb-4dfa-b266-fa090883ab98","year":2017},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.420927Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:1a9ddbd64b18e98cf2b41bcb9962f2d29731b1800ec796963e1f3dd95fad6117","observation_id":"0501e1db-b699-48b3-9fdf-ad5e9f9cfb72","resolution":{"observed_at":"2026-08-05T11:48:19.260682Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.248409Z","title":"Hairer, Renormalisation in the presence of variance blowup , to appear in Ann","venue":null,"work_id":"7ef339b0-8f1a-4f69-9433-a60dc4c833d1","year":null},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.424019Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:60dc0b7106dbe82c14c0d3de53bc1a82c771d987a31ba50468821c8073bff44a","observation_id":"ebf21a93-281e-426e-a928-8eb015662967","resolution":{"observed_at":"2026-08-05T11:48:19.251726Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.234747Z","title":"Hoshino, KPZ equation with fractional derivatives of white noise , Stoch","venue":null,"work_id":"2765435f-802c-4410-b7a5-20883bf92034","year":2016},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.427308Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:ea02b89f79316ace761ff7d926055fa680ab8ac6077a96f453e6bd633bdf5cd4","observation_id":"10ea1c28-6abd-4d78-99c2-7cd9017da43b","resolution":{"observed_at":"2026-08-05T11:48:19.238514Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.220823Z","title":"Hairer, H","venue":null,"work_id":"74cadc55-2eef-4ffc-affd-74b8a364edc0","year":2016},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.430083Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:4d41c4f1689772cf3a4edec923cbcdd78017c304178c254a0a015a2afd1d9f8d","observation_id":"e3ec6c66-995e-420e-992f-d3e5c3f517ef","resolution":{"observed_at":"2026-08-05T11:48:19.223994Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.211447Z","title":"Huang, D","venue":null,"work_id":"bae7eae0-9b4a-4e18-9ea0-09290d4a5d35","year":2020},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.432911Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:135acfd318e946e1eeca3e9b5e9062b09c61b0b42c76e7aafafce10a0b5940ea","observation_id":"6ab9c024-59ac-475f-abf0-dd444d09f674","resolution":{"observed_at":"2026-08-05T11:48:19.214410Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.195042Z","title":"Janson, Gaussian Hilbert spaces","venue":null,"work_id":"62f07f8d-95f1-4cd5-86bb-46e3b5215002","year":1997},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.435880Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:6285eba46071368128b94db7893ce9810d0b35ffbf9e0daa8c158c91572233be","observation_id":"fc271d6a-39e9-4dce-adb1-4abbf2c40fb4","resolution":{"observed_at":"2026-08-05T11:48:19.198369Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.185350Z","title":"Kenig, G","venue":null,"work_id":"099cc49f-6fe7-4781-99c4-67d579d69b79","year":1996},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.438662Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:7bc03885e672c1cce06f3b657181fc9cf09070faee20c0e2a100335942fba121","observation_id":"957f2cac-c00c-40f6-aedf-78a73463dd37","resolution":{"observed_at":"2026-08-05T11:48:19.188376Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.174339Z","title":"Kallenberg, Foundations of modern probability , Third edition, Probab","venue":null,"work_id":"d4a1cbff-e122-483a-847e-ab6495ad4592","year":2021},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.441536Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:b0b30c6c20878d7b3a9371b28f4d280d5410212298e87c5f3d2fb4b419c06e04","observation_id":"b5f43682-9ea3-4ffb-89d4-2c7e95140459","resolution":{"observed_at":"2026-08-05T11:48:19.177711Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.164540Z","title":"Khan, Separability in function spaces, J","venue":null,"work_id":"85209b13-69e4-47ee-be61-d73797250cf2","year":1986},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.444257Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:8dabaf28149949451c76bf35d464da4e0806c6f410c93ed241d504391475a7de","observation_id":"e33e2112-4478-4943-9a28-09a8703cb150","resolution":{"observed_at":"2026-08-05T11:48:19.167822Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.154851Z","title":null,"venue":null,"work_id":"e6084558-f1c1-476f-876a-4c4ddd8019ab","year":null},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.447263Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:8680b18b372f07dc891d9dc1f49250287bebe6d240928ecf08e0b45a2c50f312","observation_id":"3206d6f2-0c1d-436e-b857-8d208aba7aa8","resolution":{"observed_at":"2026-08-05T11:48:19.158127Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.144767Z","title":"Liu, On the probabilistic well-posedness of the two-dimensional periodic nonlinear Schr¨ odinger equation with the quadratic nonlinearity |u|2, J","venue":null,"work_id":"79fcfdfc-2eb6-4047-b208-2d1e51e0e947","year":2023},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.450188Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:fdceb8af6a571b001f786c39522c66ca77a20c9eacf0b232949cf88992a349e0","observation_id":"46f953a3-cded-418f-a414-10b7f8ff3418","resolution":{"observed_at":"2026-08-05T11:48:19.148132Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.133927Z","title":"Statistical mechanics of nonlinear wave equations. IV. Cubic Schr¨ odinger","venue":null,"work_id":"99013019-b2c6-4003-9e67-84b06dd10f39","year":1995},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.453281Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:5aedf81a5273a7303b71189db13c5be830ec94958e251101b6c930d621e50fd2","observation_id":"4654e89e-65d2-4aa4-af70-2f02bcbe01f7","resolution":{"observed_at":"2026-08-05T11:48:19.137828Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.123187Z","title":"Michael, On a theorem of Rudin and Klee, Proc","venue":null,"work_id":"b0a1a5f1-b441-424f-80b9-07789dc1e2a3","year":1961},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.456152Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:af94129f193b0315c2965dec57edd62696909bd08825dc3c26498138b614727e","observation_id":"9a5810e7-2fad-4181-aad3-4923444269d6","resolution":{"observed_at":"2026-08-05T11:48:19.126606Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.112787Z","title":"Mourrat, H","venue":null,"work_id":"1f256259-91ec-4044-a784-2bc5f43ed53f","year":2017},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.459456Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:ccbff795af34b9faab45ad164281fc0133a19ce28574375d21347cdbec83da2a","observation_id":"69220d0c-de66-4480-ac17-070d35ad162e","resolution":{"observed_at":"2026-08-05T11:48:19.116118Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.101722Z","title":"Mourrat, H","venue":null,"work_id":"9a07bb65-870f-43e5-b3ab-0c970a7afa80","year":2017},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.462396Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:4b641bd25e3168ef0f6b041b18dd459b804e00e93a91af7f12a75b23aa1a45f6","observation_id":"b3ee58d8-c0be-463a-a252-7df5601974b2","resolution":{"observed_at":"2026-08-05T11:48:19.104907Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.091142Z","title":"Mukherjee, A","venue":null,"work_id":"2629c1ae-2c5d-448b-a24b-e1fdbff0f437","year":2016},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.465227Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:3bccdadaeab232bf91765ee047921d470911784f7671920fccd3a432fb7135d7","observation_id":"fb540e36-8622-4f3f-a9fd-9a4ed981ad05","resolution":{"observed_at":"2026-08-05T11:48:19.094739Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.080782Z","title":"Nelson, A quartic interaction in two dimensions , 1966 Mathematical Theory of Elementary Particles (Proc","venue":null,"work_id":"310cf20d-6449-48a0-aaa9-577457c4f469","year":1966},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.468236Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:8d87fd671d7a661c907ca1d404d6fcf0eef62dbcedb65b5bcf7435653f94e539","observation_id":"1cfc70b1-f36f-46e0-95fe-0cdc3ba853c7","resolution":{"observed_at":"2026-08-05T11:48:19.084598Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:18.471189Z","title":"Nourdin, G","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.471189Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:79baf7b20e6316564fddb1653633435d4eeee69b682800aca4874b41f4301f4e","observation_id":"5d3cae6e-1934-4188-be17-97f3cd2fc94e","resolution":{"observed_at":"2026-08-05T11:48:18.471189Z","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":"2026-08-05T11:48:19.063356Z","title":"Nourdin, G","venue":null,"work_id":"cb871690-eea5-438a-8d75-e21e96cdac7a","year":2012},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.474194Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:51253a1470c4325059ac6970cbcfcbd03daf45fe508b397572c400726a2153d0","observation_id":"ba93e26c-cc65-498f-8787-28ec6057230b","resolution":{"observed_at":"2026-08-05T11:48:19.066730Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.052953Z","title":"Nourdin, G","venue":null,"work_id":"10c13fc1-df4f-4cdb-8d8b-e9a1289d5575","year":2010},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.476889Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:e4fcf12f06347994241a30987f329ca2fccd03dbed5537342b4bd519d30126c5","observation_id":"6364abaa-2022-4545-a3f5-b5dc532da2ad","resolution":{"observed_at":"2026-08-05T11:48:19.056157Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.042620Z","title":"Nualart, The Malliavin calculus and related topics","venue":null,"work_id":"ec991c23-e5b6-4e41-a33a-592e1a17c6a7","year":2006},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.479605Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:967400e1d1a61a29b0c266b8db72003f6169c694db97db92b123a3d979b3cb52","observation_id":"8910e997-8679-4c15-9fa1-c37f2f6ee5a4","resolution":{"observed_at":"2026-08-05T11:48:19.046129Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.019779Z","title":"Nualart, S","venue":null,"work_id":"573605c2-eec8-4463-bb5d-64d58cce80f8","year":2008},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.482529Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:cfa87675aedf89bfa3004945594a4b6653d65c31ae7f50d0cdb9222c587f91a7","observation_id":"2210306c-e4d8-4809-8680-cddb8674d4ac","resolution":{"observed_at":"2026-08-05T11:48:19.035455Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:19.009841Z","title":"Nualart, G","venue":null,"work_id":"95a6fcf6-c25e-45d5-becc-a5d44efa7c17","year":2005},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.485164Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:67d7cba59e800f8da837b5b47bc21b7af3d85496a28a300dbb54b1d453b34181","observation_id":"e62aa34f-7346-43f0-8881-395cf60373f1","resolution":{"observed_at":"2026-08-05T11:48:19.013309Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:18.487646Z","title":"Nualart, G","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.487646Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:e2dde42e56b7f91d6f7968ba3edb6ee38b666c326a7766993517fece08a6e044","observation_id":"d59f4307-5abe-428f-886a-8c06810e1532","resolution":{"observed_at":"2026-08-05T11:48:18.487646Z","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":"2026-08-05T11:48:18.990918Z","title":"Oh, Periodic stochastic Korteweg-de Vries equation with additive space-time white noise , Anal","venue":null,"work_id":"8b2f46c8-3e3f-4c98-8615-4e1643ce6f9b","year":2009},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.490172Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:88cd7d8dcf063a2bfca7705d5b45844f80294cd55ebb743d377c66c40b88fcef","observation_id":"ac129479-ae45-4bfa-b481-1a22ecb606bc","resolution":{"observed_at":"2026-08-05T11:48:18.994689Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:18.981347Z","title":"Oh, White noise for KdV and mKdV on the circle , Harmonic analysis and nonlinear partial differential equations, 99–124, RIMS Kˆ okyˆ uroku Bessatsu, B18, Res","venue":null,"work_id":"dfa2a7b6-eb84-4a5a-8c10-b64a6ab5b4d0","year":2010},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.492680Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:55c8b67eb08ba70ada59816dae6458bc73a04755fa440fe38803c8cb527d5dc7","observation_id":"ad2dacda-7cca-4962-91e6-8ad0c0e5bff6","resolution":{"observed_at":"2026-08-05T11:48:18.984457Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:18.972156Z","title":"Oh, Remarks on nonlinear smoothing under randomization for the periodic KdV and the cubic Szeg¨ o equation, Funkcial","venue":null,"work_id":"31e9d00d-df27-4cc8-928c-4da886edef4e","year":2011},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.495516Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:cf4ffb01adbbec5a4eec9515815cf630e2fb0be5388513ba0da548f4d2a8e610","observation_id":"5cab42d0-40d9-4ba4-b124-c3285465ebec","resolution":{"observed_at":"2026-08-05T11:48:18.975269Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:18.963136Z","title":null,"venue":null,"work_id":"c4bded26-4c3f-48a4-a1f5-17213f9360ef","year":2021},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.498097Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:57ebed015f907a3ea4a530693c0fe837b50a3703be6e8e5cee0b2c40462fcc01","observation_id":"e44c37c1-4fae-429c-98b4-96e5342ff9b2","resolution":{"observed_at":"2026-08-05T11:48:18.966021Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:18.954453Z","title":null,"venue":null,"work_id":"c53c40b7-b3ef-47b6-af07-b4ef6e501ebc","year":2024},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.500674Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:ea249c2c5e6e028361524e191878abe0c23421f0ca4d1cb2a60c3bbc3a044003","observation_id":"712221ab-d45f-40f6-8788-53b87d95ddba","resolution":{"observed_at":"2026-08-05T11:48:18.957241Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:18.945313Z","title":null,"venue":null,"work_id":"570dc661-6b21-41ba-b25c-964dca68590d","year":2024},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.503693Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:a8832d7b4876f21cabbad82b616e5509aef5c8b355b4990f3676e884e201d72f","observation_id":"16ce6a79-9e2b-47d6-8c2a-c03272965c01","resolution":{"observed_at":"2026-08-05T11:48:18.948372Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:18.936361Z","title":null,"venue":null,"work_id":"2c6c4063-d0a3-4efa-8238-2085f61cdb76","year":2025},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.506350Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:5f63c150032ad2d849302fa132691d07429d4c29c7daf0a7cb394c74db28ab27","observation_id":"149e18a5-dc4f-48d0-ab11-a1cb16ea1ba3","resolution":{"observed_at":"2026-08-05T11:48:18.939045Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:18.927980Z","title":null,"venue":null,"work_id":"f99163e9-a7b6-463b-92fc-cedc82084e99","year":2024},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.509186Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:8dc928ddbe32a55e27dfd6c2dcc64ac438353daed8a95fb9d064f8acd8017555","observation_id":"c18032f4-6b1d-49c8-8389-a02b5e08f716","resolution":{"observed_at":"2026-08-05T11:48:18.930718Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:18.919027Z","title":null,"venue":null,"work_id":"fc534981-6692-4208-8bd2-584fb0094aba","year":2022},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.511816Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:0e96bbabc9fcce65a8a43b7f5476b7d77d72d7a009bba4600d10ec55cdb0b548","observation_id":"175f2d47-f7e6-4036-9e5a-35d34cefdbf5","resolution":{"observed_at":"2026-08-05T11:48:18.922218Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:18.910297Z","title":null,"venue":null,"work_id":"e8d1c2cc-9fd3-4103-be60-f051cecee11e","year":2024},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.514316Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:553e618dd4b9a3f9757af54f2f149c3b0fe3b12af02ef37fc473f91a23ea85b7","observation_id":"b2707874-02e2-4dbd-8746-cd363eedfd5d","resolution":{"observed_at":"2026-08-05T11:48:18.913143Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:18.901469Z","title":null,"venue":null,"work_id":"763bca65-ae20-48fa-bb8c-df07f4880284","year":2016},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.517201Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:a2bfd66d12d01f04cf1e5ae0a577e5d5987c9b69c1e7fb65485a829e2015ccd2","observation_id":"308c73dc-9109-4836-b838-60d6e2a575cd","resolution":{"observed_at":"2026-08-05T11:48:18.904426Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:18.892318Z","title":null,"venue":null,"work_id":"e5f39a4f-0f55-48ad-9365-9097c4b7c56b","year":2021},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.519830Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:353a6d883ff0dbd1868a89592e2bcf085183112af7d4818e702caa4c63272f19","observation_id":"00da5454-f917-4521-bc2e-ebda76061728","resolution":{"observed_at":"2026-08-05T11:48:18.895089Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:18.883055Z","title":null,"venue":null,"work_id":"90b811a9-a3eb-4e26-90c1-16fc1a0a2495","year":2021},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.522795Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:fa3a244d8fd103c213c63d8f98fbeb50e9d48183c38d3c2bc5d72f4f369568d6","observation_id":"5560ef24-d9cf-4a95-a532-a979fb273bca","resolution":{"observed_at":"2026-08-05T11:48:18.886066Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:18.874438Z","title":null,"venue":null,"work_id":"46d5d539-a440-4bcb-a35e-6f1da4231bc5","year":2021},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.526396Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:872f95f037af63fcc5912c1e67a090c275271dd786871db73a4c07f7fc2af209","observation_id":"cfdb556c-f74d-4110-bfef-948d12f367dd","resolution":{"observed_at":"2026-08-05T11:48:18.877370Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-05T11:48:18.865946Z","title":null,"venue":null,"work_id":"05a60561-b09b-4cfd-af74-73a8e62f269f","year":2024},"citing_paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation","version":1},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-05T11:48:18.529345Z"},"links":{"citing_paper":"/paper/2509.02344"},"observation_digest":"sha256:de0f2aa3cead7214fc33688f6ee71631e1d2b3720e2f079b76f9652cfb4fba60","observation_id":"2b6e9438-4cba-4853-bfab-98beb60db571","resolution":{"observed_at":"2026-08-05T11:48:18.868645Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2509.02344","last_updated":"2025-09-02T14:11:42Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-09T13:22:59.184362Z","submitted_at":"2025-09-02T14:11:42Z","title":"Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":64,"verified_exact":0,"verified_fuzzy":36},"total_outbound_references":122},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 100 of 122 outbound references and 2 inbound Pith citation observations for arXiv:2509.02344."}