{"as_of":"2026-08-11T01:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:60aae1e9a7a2d8d9f54c5b18a0ef8e9eba96caccc29f59ae9a442537788aec2b","coverage":[{"denominator":108,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T00:14:28.920105Z","state":"measured"},{"denominator":100,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":100,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.15140/citation-record","integrity":"/paper/2607.15140/integrity","json":"/paper/2607.15140/citation-record.json","paper":"/paper/2607.15140"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T00:14:28.525924Z","title":null,"venue":null,"work_id":null,"year":1907},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.525924Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:27d34822a6ffaba367b24a8d8925396cb4b8003ffd1ea79f9c4a1f1fb93f3770","observation_id":"47aa1332-ea68-4a3f-ac74-da899adde83d","resolution":{"observed_at":"2026-08-02T00:14:28.525924Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.09267","last_updated":"2026-07-31T09:52:19Z","snapshot_observed_at":"2026-08-10T11:08:03.239898Z","submitted_at":"2024-06-13T16:06:42Z","title":"Global smooth solutions by transport noise of 3D Navier-Stokes equations with small hyperviscosity","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.09267","snapshot_observed_at":"2026-08-02T00:14:28.531057Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.531057Z"},"links":{"cited_paper":"/paper/2406.09267","citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:626cea4806107333edbae164c5b8ee3da9294e832c549358f11d773a2ea0f9a9","observation_id":"129d1976-ab33-4e89-a9a6-f7109a9e453e","resolution":{"observed_at":"2026-08-02T00:14:28.531057Z","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":"2026-08-02T00:14:28.535563Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.535563Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:c86dbc46a49ad153be4a033d28c67515624596c69f2fc4873f30fef6b1186984","observation_id":"ba48234c-d02e-432d-b1f2-96f940743908","resolution":{"observed_at":"2026-08-02T00:14:28.535563Z","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":"2026-08-02T00:14:28.539829Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.539829Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:e721e6d9fdbdf946901b76206df30f4c5e4fe583135f4b3a47983f19fb7826d3","observation_id":"1ebb59e1-b8f0-4689-aedd-1b00e3b5c313","resolution":{"observed_at":"2026-08-02T00:14:28.539829Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2606.28575","last_updated":"2026-06-26T20:00:43Z","snapshot_observed_at":"2026-08-06T18:06:08.016754Z","submitted_at":"2026-06-26T20:00:43Z","title":"Global smooth solutions by high mode Lie-Transport noise for Logarithmically Hyperdissipative Navier-Stokes equations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.28575","snapshot_observed_at":"2026-08-02T00:14:28.543750Z","title":"Agresti, F","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.543750Z"},"links":{"cited_paper":"/paper/2606.28575","citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:d100c47766242aa566ea88f98d68769b9c0404b1bf2295b633f39fb86a002265","observation_id":"2149e039-33af-4400-bc60-3dbe5312d3f8","resolution":{"observed_at":"2026-08-02T00:14:28.543750Z","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":"2026-08-02T00:14:28.548157Z","title":"Agresti, M","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.548157Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:21d9a2f906dd18310152533ccd10c801d6fd21defae0eaeb95e14b612346d433","observation_id":"330e5a06-6605-4ce2-a61c-d12e5ba631f5","resolution":{"observed_at":"2026-08-02T00:14:28.548157Z","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":"2026-08-02T00:14:28.552594Z","title":"Agresti and M","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.552594Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:1d57a93eff2aff9922e0a9af321a58bea9c04f5a3f4eafe2c6aec165d478594d","observation_id":"f483e86c-6843-480d-b5e9-d1f977f4a648","resolution":{"observed_at":"2026-08-02T00:14:28.552594Z","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":"2026-08-02T00:14:28.556333Z","title":"Agresti and M.C","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.556333Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:989497fc3197dab4fd86be7e360be412173fa90e373d9f949e163bd5ae33fcb3","observation_id":"331b6f81-5360-4d97-b0ec-7370d543012a","resolution":{"observed_at":"2026-08-02T00:14:28.556333Z","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":"2026-08-02T00:14:28.560195Z","title":"Agresti and M.C","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.560195Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:08f84d1e1fdcf237b88533e9292fba8ebb2e04061cbbcad981ae82a4c217f8d4","observation_id":"9fb1aa11-aa93-4d91-9100-72927daaa596","resolution":{"observed_at":"2026-08-02T00:14:28.560195Z","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":"2026-08-02T00:14:28.563961Z","title":"Albritton, E","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.563961Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:71637d254c27f880fbfa6a6a604413e55925faeb7c6478397107c6229b5ad39a","observation_id":"dda0f484-8d3e-4b0a-8fa9-48a14951c5e6","resolution":{"observed_at":"2026-08-02T00:14:28.563961Z","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":"2026-08-02T00:14:28.567683Z","title":"Albritton and M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.567683Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:824ca0db6afe48918e8533b6ff394c0c520cba15508bd03b45453ba944f6aab1","observation_id":"a887f1c8-a8a5-4c6b-9d4b-e0bf967965ec","resolution":{"observed_at":"2026-08-02T00:14:28.567683Z","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":"2026-08-02T00:14:28.571693Z","title":"Amann.Linear and quasilinear parabolic problems","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.571693Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:db75b979f03c2371547598b1c1d9afea523c51e4babd6fa33be47086f908af84","observation_id":"78989eb6-da71-4b09-b168-be9d0d988a21","resolution":{"observed_at":"2026-08-02T00:14:28.571693Z","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":"2026-08-02T00:14:28.575749Z","title":"Armstrong, T","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.575749Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:744c7e7bf0b8ca4dd0f87ed10af964feadf4876d270d9e1b6b286df4a8bb324e","observation_id":"20dfa0dd-65d8-483c-91be-ad9d2dbba5e4","resolution":{"observed_at":"2026-08-02T00:14:28.575749Z","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":"2026-08-02T00:14:28.579573Z","title":"Armstrong and V","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.579573Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:d77b53423e43b6f1af384ae62a71394bde723554882588ace8f6ca52f1d08c05","observation_id":"f0c0f0ec-7ad6-4c40-9c61-8896098030c9","resolution":{"observed_at":"2026-08-02T00:14:28.579573Z","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":"2026-08-02T00:14:28.583452Z","title":null,"venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.583452Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:1d16080f434ed968f3bb8bb5678acd679ec76ff709fd6191857be39e14f4df58","observation_id":"6e948a12-e98d-4679-b8dc-f06af5ec1bdb","resolution":{"observed_at":"2026-08-02T00:14:28.583452Z","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":"2026-08-02T00:14:28.587010Z","title":"Arnold, H","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.587010Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:b1f0e0b8c88b5d4c0ac9e206ac45d15413cd4e7b9aff970349cc1b337469a082","observation_id":"3727b34e-bf52-4a0c-8dfe-3e8c4994e641","resolution":{"observed_at":"2026-08-02T00:14:28.587010Z","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":"2026-08-02T00:14:28.590925Z","title":"Avellaneda and F.-H","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.590925Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:d23eabdc67816c9caa5f88fd6936021dbc2b1f525bb9e981b8ae96dd4214bb58","observation_id":"9a719f02-7764-4aa4-943d-ae219daa49f3","resolution":{"observed_at":"2026-08-02T00:14:28.590925Z","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":"2026-08-02T00:14:28.594527Z","title":"Bagnara, L","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.594527Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:b03219b68c354dca9f54b4b18e4ab43e46fc27a99a2b641f74082022c6ee4d48","observation_id":"8fe8e9c3-5e2a-4e58-a46d-f3937b6dd418","resolution":{"observed_at":"2026-08-02T00:14:28.594527Z","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":"2026-08-02T00:14:28.598266Z","title":"Bechtold and M","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.598266Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:26bd13035c1a42b5bb12936fdf26f36024da1f62978fb8df650f317799c607d4","observation_id":"aa7daef1-d9d6-48e9-82c0-1a706a206728","resolution":{"observed_at":"2026-08-02T00:14:28.598266Z","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":"2026-08-02T00:14:28.602104Z","title":"Bergh and J","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.602104Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:90a4d6e002554dcbbb2f1a3f25bda9311141ca7e9ded47d7d4867fbcc9831864","observation_id":"1723bedc-bc54-4c0a-9555-4ce1c4e5ffe9","resolution":{"observed_at":"2026-08-02T00:14:28.602104Z","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":"2026-08-02T00:14:28.605992Z","title":"Boussinesq.Essai sur la th´ eorie des eaux courantes, volume 23 ofM´ emoires pr´ esent´ es par divers savants ` a l’Acad´ emie des Sciences","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.605992Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:16bce5fdb2d5d0c8b4ea6ee5d117a538b4f9a6247236b98d760d7b683dab0246","observation_id":"5da0d592-f186-4bc7-98d9-887ccc834bdf","resolution":{"observed_at":"2026-08-02T00:14:28.605992Z","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":"2026-08-02T00:14:28.609794Z","title":"Brezis.Functional analysis, Sobolev spaces and partial differential equations","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.609794Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:c9a928876affd25f464ac6673ba688f40af1756549e27cf383c2d406826c7f6e","observation_id":"8bbc099e-456c-45b5-a466-53c2a0c91d8a","resolution":{"observed_at":"2026-08-02T00:14:28.609794Z","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":"2026-08-02T00:14:28.613540Z","title":"Bru` e, M","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.613540Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:f0364d529bf25cbe6f29d08ceec69fe213c9cd757ffa22e36680a604d2c4da23","observation_id":"480e1f7c-b16f-484f-85f9-1dcdd74502f9","resolution":{"observed_at":"2026-08-02T00:14:28.613540Z","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":"2026-08-02T00:14:28.617393Z","title":"Brze´ zniak, M","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.617393Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:3f7a0981b825eaf8d052a6c7ff525eeca3d90f14cecd0480b7f2bc79a49466e6","observation_id":"2851c747-5e6a-43d3-b304-f557e41d0c84","resolution":{"observed_at":"2026-08-02T00:14:28.617393Z","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":"2026-08-02T00:14:28.621188Z","title":"Buckmaster and V","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.621188Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:51839ea0d5593c6535365ee59226ca62fa3754ee1d5683e287c9ae77632ccec8","observation_id":"7fc27797-5f93-476a-8c2a-13b4c209b35e","resolution":{"observed_at":"2026-08-02T00:14:28.621188Z","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":"2026-08-02T00:14:28.624938Z","title":"Butori, F","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.624938Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:2d3ab9e0514479d7f4c62996a1a77937683a304ba458adf96b737b7e5c6296ac","observation_id":"ff0d5150-d6a2-42e1-8d96-b04e5f77f8a3","resolution":{"observed_at":"2026-08-02T00:14:28.624938Z","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":"2026-08-02T00:14:28.628863Z","title":"Caffarelli, R","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.628863Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:2fb10a02fd5b85085546c698e457e78d1dfe838428fe7a000a6ee40320506587","observation_id":"4da1fb24-a470-4ccf-99ef-ac59f50b1b7d","resolution":{"observed_at":"2026-08-02T00:14:28.628863Z","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":"2026-08-02T00:14:28.632648Z","title":"Coghi and M","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.632648Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:a3f5e57d8601d575dcbfc90691d86e7c91a97d21990cd530af4bfd1859d2fcb3","observation_id":"07a6ac42-f4fb-4bb9-9004-6d917bb191a1","resolution":{"observed_at":"2026-08-02T00:14:28.632648Z","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":"2026-08-02T00:14:28.636415Z","title":"Colombo, C","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.636415Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:1eaa2e4ff75b4cfc744b514b249e09523bda9baaa1db591edbfc6de2c228c8ac","observation_id":"8a3965ce-98ab-43f3-95b6-fdc79bde7975","resolution":{"observed_at":"2026-08-02T00:14:28.636415Z","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":"2026-08-02T00:14:28.640409Z","title":"Colombo and S","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.640409Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:3951488d782cfcd4867439e92e974e0cd2288dd77bed79fdb053c22a29e99faf","observation_id":"b2039fac-08fd-48ff-b330-a6d9c81f844d","resolution":{"observed_at":"2026-08-02T00:14:28.640409Z","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":"2026-08-02T00:14:28.643942Z","title":"Constantin, A","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.643942Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:eff9520482ba4e9ce426a5da00e473184822e05a6e5ba8ff1f4a148aa0e41381","observation_id":"da3c43f6-bb8c-45fb-a5bb-a07f73807a1c","resolution":{"observed_at":"2026-08-02T00:14:28.643942Z","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":"2026-08-02T00:14:28.647480Z","title":"Coti Zelati, G","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.647480Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:ee0a67545730cfb6d790a1b07723629f73ab89af703111baa9d11427dca608bb","observation_id":"176f5fd8-d454-4303-9da6-dcaae2e89da7","resolution":{"observed_at":"2026-08-02T00:14:28.647480Z","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":"2026-08-02T00:14:28.651273Z","title":"Da Prato and A","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.651273Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:0398ad8fb7f7357732ab210b741c8088e9153081308012d8102133d5035449f3","observation_id":"202dea69-058c-4bc7-85b8-5d1dd50f3e39","resolution":{"observed_at":"2026-08-02T00:14:28.651273Z","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":"2026-08-02T00:14:28.654982Z","title":"Da Prato and J","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.654982Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:883e145588c6cecebae0ebbc97045580dc1a6b8c9e263c8c46a521dd25445b27","observation_id":"842d5208-0539-4a3c-91f9-7871a84766aa","resolution":{"observed_at":"2026-08-02T00:14:28.654982Z","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":"2026-08-02T00:14:28.658753Z","title":"De Lellis and L","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.658753Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:4392ef7921b40673fbd815b0d77711828040f033feaa5e8936edc9503b6fe19c","observation_id":"1bbae8be-6ea3-44f1-b55d-7b942ef95b5d","resolution":{"observed_at":"2026-08-02T00:14:28.658753Z","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":"2026-08-02T00:14:28.663072Z","title":"Debussche and E","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.663072Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:a69748d3eb4828eed8de9fc401633bc66c6f10ce02c3b713f67e7127ff249338","observation_id":"0f123857-8fe4-4442-9fb2-4ce0e91c9586","resolution":{"observed_at":"2026-08-02T00:14:28.663072Z","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":"2026-08-02T00:14:28.667274Z","title":"Debussche and U","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.667274Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:45f00955ef4d8d9799cc1bd03019942e34821c4bf34494def105ceb80634e8f6","observation_id":"a9c231a4-0f4d-49b3-aab5-154e783984bd","resolution":{"observed_at":"2026-08-02T00:14:28.667274Z","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":"2026-08-02T00:14:28.670873Z","title":"Denk and M","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.670873Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:430f9367af87e016fbc763f4a6a557229937a6548d6fa761d0fac071557e07ee","observation_id":"c7c5a923-812c-48ad-8619-d35113ea7921","resolution":{"observed_at":"2026-08-02T00:14:28.670873Z","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":"2026-08-02T00:14:28.674475Z","title":null,"venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.674475Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:fd59554b6cc0cb39f40993d50ba322762e70a6a915ab03abbcc882b925a38eab","observation_id":"77724f49-e735-491c-9ccc-814da4731876","resolution":{"observed_at":"2026-08-02T00:14:28.674475Z","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":"2026-08-02T00:14:28.678509Z","title":"Evans and R.F","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.678509Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:caa0cdaf143351123e2770862e3642e0869ad926419befc6f85ca21b6409bcac","observation_id":"c1e0a5a7-b0f6-4d39-b65f-3615f520fd95","resolution":{"observed_at":"2026-08-02T00:14:28.678509Z","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":"2026-08-02T00:14:28.682198Z","title":"Fefferman","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.682198Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:f143d80e1dd43289974c78001a69f5c40cf45516a926b29c545feba6a792f0ac","observation_id":"d9316e88-d2f1-4556-8cff-807ae838a315","resolution":{"observed_at":"2026-08-02T00:14:28.682198Z","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":"2026-08-02T00:14:28.685972Z","title":"Flandoli.Random perturbation of PDEs and fluid dynamic models, volume 2015 ofLecture Notes in Mathematics","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.685972Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:e5ace98bdec8f8f7a1e374691afd81b91eeef7d9084f2883cc2abf047d73e74e","observation_id":"8140ad39-fa13-4022-b4dd-46f287607e1a","resolution":{"observed_at":"2026-08-02T00:14:28.685972Z","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":"2026-08-02T00:14:28.689793Z","title":"Flandoli","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.689793Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:95c0efdbde8b39eec264bae4afe371ee5208e4b2d829c4d172517e6c5696b852","observation_id":"69676d91-78fb-4820-8f5a-3cefcc1875f1","resolution":{"observed_at":"2026-08-02T00:14:28.689793Z","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":"2026-08-02T00:14:28.694302Z","title":"Flandoli","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.694302Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:b6e231398e813c79fa523a801bbd4d3e7ab62f4a39856a97104ca46f73ca3aac","observation_id":"50065dc9-5e04-4f44-9bdd-9788f9908427","resolution":{"observed_at":"2026-08-02T00:14:28.694302Z","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":"2026-08-02T00:14:28.698052Z","title":"Flandoli, L","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.698052Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:714b76f35d07c4ae3f39c6c851c03824c15cdc896abdcbdbc6a048834153902e","observation_id":"1e7fd5b5-fb25-4767-a113-d9c8e336d6fe","resolution":{"observed_at":"2026-08-02T00:14:28.698052Z","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":"2026-08-02T00:14:28.702138Z","title":"Flandoli, L","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.702138Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:6a2b801ac01a215d02c3f4c6c4872b0222da9cf071b1a399b1f6c52880e9d3ed","observation_id":"6d5c3c37-9bd5-46d1-9cf8-8c1d6467be50","resolution":{"observed_at":"2026-08-02T00:14:28.702138Z","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":"2026-08-02T00:14:28.706425Z","title":"Flandoli, L","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.706425Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:75ad24f15f6e0572638477e3a723978e12fc2212dd679c1dcf74ac8b4eac9824","observation_id":"e8d00880-fae5-4542-9f26-678887acb384","resolution":{"observed_at":"2026-08-02T00:14:28.706425Z","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":"2026-08-02T00:14:28.710327Z","title":"Flandoli, M","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.710327Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:b4b28106d864c598deae167c02a306d988cea3461e14d44276156729b322ebf6","observation_id":"34ab812a-8bd7-48fd-8d1a-804ab5298f1e","resolution":{"observed_at":"2026-08-02T00:14:28.710327Z","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":"2026-08-02T00:14:28.714121Z","title":"Flandoli and D","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.714121Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:d68e97daa54706260055502ddc2f8c12591f8e8fbefd32b7b26ba582f791b8eb","observation_id":"f4e25e7e-3018-494f-af7a-c9cfbe73e57b","resolution":{"observed_at":"2026-08-02T00:14:28.714121Z","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":"2026-08-02T00:14:28.717986Z","title":"Flandoli and D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.717986Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:804143e61145f678466378b8e7acebad32592f81964fc70c433c046cfb668cba","observation_id":"4200089c-b3f1-4831-bdd1-7713ecb1bef2","resolution":{"observed_at":"2026-08-02T00:14:28.717986Z","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":"2026-08-02T00:14:28.721892Z","title":"Flandoli and E","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.721892Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:abe03c9214bc4c673cc2089f52641a4db4436ff3421fdbbbdd22792c2fa933f9","observation_id":"cb5ec72a-a17b-40df-b373-eb93a772eef3","resolution":{"observed_at":"2026-08-02T00:14:28.721892Z","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":"2026-08-02T00:14:28.729859Z","title":"Flandoli and M","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.729859Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:a53bf490bfa4727f089de4aeaf63253e179f6e0e056c8f332800f4893a1f5ce7","observation_id":"9fbf3ce4-6d0f-40e3-beb1-55b34923adde","resolution":{"observed_at":"2026-08-02T00:14:28.729859Z","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":"2026-08-02T00:14:28.735504Z","title":"Flandoli and M","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.735504Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:808b4d07b62269299505aeb847df78b686ae48058ac910243d7fe479c3771e70","observation_id":"10e916c9-6fb3-416d-a283-4feba6f43a2c","resolution":{"observed_at":"2026-08-02T00:14:28.735504Z","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":"2026-08-02T00:14:28.739365Z","title":"Galdi.An introduction to the mathematical theory of the Navier-Stokes equations","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.739365Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:21da3a374c66679b671e2b03fce15aefa557a64d299d215cf753e8d11e0eedd7","observation_id":"70f7555b-5e28-417b-bf28-9564bd7aa2a5","resolution":{"observed_at":"2026-08-02T00:14:28.739365Z","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":"2026-08-02T00:14:28.743572Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.743572Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:0ddc70ff5e438b3df07ae4aa90e11e37090abb77078189924cc100495ac167cb","observation_id":"a81f86ea-b411-43cb-b970-86c15802fa6c","resolution":{"observed_at":"2026-08-02T00:14:28.743572Z","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":"2026-08-02T00:14:28.747761Z","title":"Geiss and M","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.747761Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:2d7539bb93751bb0985c026b1ee643eeb09d420d77984d61617ac478c00ad352","observation_id":"19f8e28d-3f3e-4cae-957d-1823f2ea6f91","resolution":{"observed_at":"2026-08-02T00:14:28.747761Z","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":"2026-08-02T00:14:28.752055Z","title":"Giaquinta.Multiple integrals in the calculus of variations and nonlinear elliptic systems, volume 105 ofAnnals of Mathematics Studies","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.752055Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:c7ce48d4de091c9a6ff8512ec2b042ee758e84e0bea2ae8afdcdaaf689db2122","observation_id":"c21bbe47-acda-41d2-b5f4-4754c3111786","resolution":{"observed_at":"2026-08-02T00:14:28.752055Z","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":"2026-08-02T00:14:28.755895Z","title":"Giaquinta and L","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.755895Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:7b1b3f3a0159d697e78c35fac39a3eb1e02ff304f4d5d15c4b88853895e902d7","observation_id":"86426e04-d4b9-47aa-8897-2bd5316e804b","resolution":{"observed_at":"2026-08-02T00:14:28.755895Z","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":"2026-08-02T00:14:28.759866Z","title":"Glatt-Holtz and V","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.759866Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:051f2e5db81d92d3164bbe61e04761a7467d40d7c45c7e8a1c25f87e4ab3ae9c","observation_id":"bff4eb28-b7a9-4240-816f-5db2175f1989","resolution":{"observed_at":"2026-08-02T00:14:28.759866Z","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":"2026-08-02T00:14:28.763638Z","title":"Grafakos.Classical Fourier analysis, volume 249 ofGraduate Texts in Mathematics","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.763638Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:e8801a81cf25623e9a713d681dc359cb0d589d155f55c60bc2252900800c3f04","observation_id":"300b51f0-e1e1-4fed-9890-1fb3998dcd97","resolution":{"observed_at":"2026-08-02T00:14:28.763638Z","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":"2026-08-02T00:14:28.767703Z","title":"Haase.The functional calculus for sectorial operators and similarity methods","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.767703Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:5ea38387e1f2afea724abea8ec90a7b1873fb7cba3fc2c6bcb9de68b4df4c7ef","observation_id":"e5211c2f-f051-4a02-9893-503cd798ab26","resolution":{"observed_at":"2026-08-02T00:14:28.767703Z","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":"2026-08-02T00:14:28.771656Z","title":"Hofmanov´ a, T","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.771656Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:7cb120a8bae4d18205f87963521a8222aa344cdec9cbad324c02c1c6abef71d6","observation_id":"659d3236-be5f-4043-bf71-708f5b99e58f","resolution":{"observed_at":"2026-08-02T00:14:28.771656Z","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":"2026-08-02T00:14:28.775662Z","title":"Hofmanov´ a, J.-M","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.775662Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:c998a6e7dd562976ea123a12ffa0128b950c9c2b3e09e9efd3077ca7dc9fbb43","observation_id":"34f7a93c-f69b-4690-bcb8-3563261d4137","resolution":{"observed_at":"2026-08-02T00:14:28.775662Z","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":"2026-08-02T00:14:28.779528Z","title":"Hofmanov´ a, U","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.779528Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:2633813bac572410cbd106fad0d7c9023962ddeed015d8f4b049ea8c06f474ab","observation_id":"efdaf3e1-7227-4d27-aaa1-8ed73575f797","resolution":{"observed_at":"2026-08-02T00:14:28.779528Z","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":"2026-08-02T00:14:28.783440Z","title":"Hofmanov´ a, R","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.783440Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:e5f5134d1c97b17adc35732bb79710403798f0f1f6849fccec1df57d8d49f3d9","observation_id":"9bc9a346-e09d-47ba-a644-c24eda7a4714","resolution":{"observed_at":"2026-08-02T00:14:28.783440Z","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":"2026-08-02T00:14:28.787255Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.787255Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:4f5af6aaad820a2c038ed991fee8b98a8d75ea52fc0bd2165fb6736fad5ff215","observation_id":"90cbac2b-4daa-4987-9d8d-3d3ea0bc4007","resolution":{"observed_at":"2026-08-02T00:14:28.787255Z","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":"2026-08-02T00:14:28.791437Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.791437Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:d07c3daaed91a28d412d9076f4522f4d4d8f26207566185d32018ee3cf30ee25","observation_id":"2b8f24b1-7110-46ad-9c05-07c8fa10cbc4","resolution":{"observed_at":"2026-08-02T00:14:28.791437Z","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":"2026-08-02T00:14:28.795390Z","title":"Hyt¨ onen, J.M.A.M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.795390Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:488733deed44d7b8c30e3b040762bb75a9180bbb2d03068b920995db52069c90","observation_id":"04223fa7-d5c8-4351-8e65-97acdade97b0","resolution":{"observed_at":"2026-08-02T00:14:28.795390Z","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":"2026-08-02T00:14:28.799272Z","title":"Hyt¨ onen, J.M.A.M","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.799272Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:6155eb0caf382fd5dad28f0ad98a3e1749c7c90b44c2d06129621e1f421baf8e","observation_id":"7cf86174-75bf-4451-9aeb-7c4cc0222df2","resolution":{"observed_at":"2026-08-02T00:14:28.799272Z","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":"2026-08-02T00:14:28.803053Z","title":"Hyt¨ onen, J.M.A.M","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.803053Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:e88c88edefbcb1406e3b5a8f3faf81da48379ae0527da8e93f91a6f1d8aba395","observation_id":"a571966d-4943-404e-98e9-11a382c29a21","resolution":{"observed_at":"2026-08-02T00:14:28.803053Z","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":"2026-08-02T00:14:28.806738Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.806738Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:8bc9fc54eab4c49e78240af2fefc19a1277d41cd6f3092b07dae1a37d6a9ffee","observation_id":"d1733c27-6845-4955-8d4a-3181ef8cfe4f","resolution":{"observed_at":"2026-08-02T00:14:28.806738Z","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":"2026-08-02T00:14:28.810689Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.810689Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:fcbac4e04221f5d349666ae6ba57010447167733ac2c4bc8e93c6b472ea9673e","observation_id":"1d661b46-2d95-4ba9-9108-452da95dd99b","resolution":{"observed_at":"2026-08-02T00:14:28.810689Z","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":"2026-08-02T00:14:28.814466Z","title":"Jia and V","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.814466Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:41ce157edf9613973af0b2a41614a883c9f4c389c5058c286201079fef4c49b1","observation_id":"51cb03fc-ad16-4aa8-bcbc-f369bbb17b62","resolution":{"observed_at":"2026-08-02T00:14:28.814466Z","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":"2026-08-02T00:14:28.818216Z","title":"Jiao and D","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.818216Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:c367d4dabf9f186708af1fd658dd46c9c9c0bef3637b7f7a29ecd84ea7ed6f0c","observation_id":"b8c9a0ba-8740-4766-9a61-bd88376903be","resolution":{"observed_at":"2026-08-02T00:14:28.818216Z","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":"2026-08-02T00:14:28.822261Z","title":"Kalton, P.C","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.822261Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:357ef994813d032a3ae01d5cc0be3bcdb6180af8c11e08100b83b4b3b2d78502","observation_id":"7fda0f44-869e-4282-8bb0-e7fb1521fc8a","resolution":{"observed_at":"2026-08-02T00:14:28.822261Z","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":"2026-08-02T00:14:28.826018Z","title":"Kiselev and X","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.826018Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:d88f17d106a049307ce3ffd4553e44ab324a141afbf185fcfbd2658194a42d46","observation_id":"7ece8ff3-ab2e-4aeb-9a92-d2788d65dda3","resolution":{"observed_at":"2026-08-02T00:14:28.826018Z","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":"2026-08-02T00:14:28.829761Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.829761Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:46cfad901011cfe25ab7ac22f6f31eadba59ea73f0e0018b0a0db50461d2c901","observation_id":"e734c777-d427-4f5e-a04e-40ae8d2e2f73","resolution":{"observed_at":"2026-08-02T00:14:28.829761Z","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":"2026-08-02T00:14:28.833684Z","title":"Krylov.Lectures on elliptic and parabolic equations in Sobolev spaces, volume 96 of Graduate Studies in Mathematics","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.833684Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:95d3303dc2e1b0de4e349c7b53f962f657a189c57101d026f3e2e2682554ba0e","observation_id":"4b351282-982c-417c-bff3-d6b68b64c0c4","resolution":{"observed_at":"2026-08-02T00:14:28.833684Z","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":"2026-08-02T00:14:28.837355Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.837355Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:afb84caacece7432e9a8e73dd2b67f332becb2046cedd94b08a70f480da36d2c","observation_id":"e4151c51-2e02-4d70-8282-38f5cd3782f6","resolution":{"observed_at":"2026-08-02T00:14:28.837355Z","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":"2026-08-02T00:14:28.841166Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.841166Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:6eeaafaa60058abcd3bff4f1d590ebe838941e1fa63884de9484bd57f8ffa2f3","observation_id":"c0ee2acb-561f-49ce-bc95-65d7e03290ed","resolution":{"observed_at":"2026-08-02T00:14:28.841166Z","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":"2026-08-02T00:14:28.845005Z","title":"Lenglart","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.845005Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:078a36ea5c37a7d9de78b3de44d45077129180109b4f1b8e74b98ad946468510","observation_id":"bcf5c3c3-2adc-4bb8-b07a-10322f52bc7a","resolution":{"observed_at":"2026-08-02T00:14:28.845005Z","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":"2026-08-02T00:14:28.848950Z","title":"Lions.Quelques m´ ethodes de r´ esolution des probl` emes aux limites non lin´ eaires","venue":null,"work_id":null,"year":1969},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.848950Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:7c50416e34119af727d9e92fc009af9f65da94727f68a8424e761200ad881944","observation_id":"2a48aa93-0ae3-4802-bc2f-3038beb7ff1a","resolution":{"observed_at":"2026-08-02T00:14:28.848950Z","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":"2026-08-02T00:14:28.853278Z","title":"Lions and E","venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.853278Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:d8b27884b6c71b390d9e6cee6e00ab477172f15832d4499231b7125d51a400bf","observation_id":"7ba8f3d8-9c97-49d8-a98f-38fd02b9059c","resolution":{"observed_at":"2026-08-02T00:14:28.853278Z","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":"2026-08-02T00:14:28.857294Z","title":"Lions and E","venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.857294Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:48f08ef29045ac91b984cbb49a46955205e5da2c4537c7d7e8f6ec86a08544b9","observation_id":"c1433496-6c60-4737-bb58-d5cc0e0821e8","resolution":{"observed_at":"2026-08-02T00:14:28.857294Z","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":"2026-08-02T00:14:28.861169Z","title":"Liu and M","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.861169Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:b9586c71298904dff406e1f03b01bec59cde65c8924d71e8038786c7ecdc2970","observation_id":"5e9828fa-2b1f-4591-acc4-06d0f0207c38","resolution":{"observed_at":"2026-08-02T00:14:28.861169Z","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":"2026-08-02T00:14:28.865531Z","title":"L¨ u and J.M.A.M","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.865531Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:86bb85fe157969aef55cbcfb835055635a61554e648de964190afb6dcc6e0356","observation_id":"532cbc4e-6008-46e2-935a-78ff0513b915","resolution":{"observed_at":"2026-08-02T00:14:28.865531Z","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":"2026-08-02T00:14:28.869275Z","title":"Lunardi.Interpolation theory","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.869275Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:0e98e613bf0e5f2bc4a5840d508d5c3b9590de68f1d561d2aa1df2d38c31f670","observation_id":"1461ba8e-74a4-46cd-80c5-58a0fc3244c2","resolution":{"observed_at":"2026-08-02T00:14:28.869275Z","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":"2026-08-02T00:14:28.873055Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.873055Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:f864e8254ad85914045bb0da908d0ef64746061df399dc252e9decbaf6967d97","observation_id":"1a7d8f10-3e4f-4458-a748-863399358efc","resolution":{"observed_at":"2026-08-02T00:14:28.873055Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.07484","last_updated":"2024-02-12T08:47:53Z","snapshot_observed_at":"2026-08-10T02:39:13.692156Z","submitted_at":"2024-02-12T08:47:53Z","title":"An elementary approach to mixing and dissipation enhancement by transport noise","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.07484","snapshot_observed_at":"2026-08-02T00:14:28.877018Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.877018Z"},"links":{"cited_paper":"/paper/2402.07484","citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:0ff6fd5bb73e4c678243fe766f3bc992aee3ffffb5d43154e85cd5156d95cb4a","observation_id":"824cf781-2895-454c-805e-4d9cd9e45b26","resolution":{"observed_at":"2026-08-02T00:14:28.877018Z","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":"2026-08-02T00:14:28.881127Z","title":"Majda, I","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.881127Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:fedff3ec8e6d83b1a4719f42073b48fe5eb7d81f0bf736f7a9db29134ce39fb2","observation_id":"71255481-5114-414e-ae75-fe3e3e785fe3","resolution":{"observed_at":"2026-08-02T00:14:28.881127Z","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":"2026-08-02T00:14:28.885256Z","title":"Mazzucato, Y","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.885256Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:d975580a04b5ef71169a8975e068a5c8fd360f555f93e58e8c1e4f3fda0127ab","observation_id":"4434c9b9-a0bc-4ce8-8868-3a1f66f98957","resolution":{"observed_at":"2026-08-02T00:14:28.885256Z","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":"2026-08-02T00:14:28.889051Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.889051Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:65ee05169b4f6667d99ff345bb99e904bcebd321daf19d41584334d37c7def79","observation_id":"fe2d4e94-b0aa-4e15-bc1c-e02acfbbdf30","resolution":{"observed_at":"2026-08-02T00:14:28.889051Z","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":"2026-08-02T00:14:28.893009Z","title":"Mikulevicius and B","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.893009Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:fc5794c29a60d4f959c84dcf2ec94c4f17e7b53ccb2f124b61db95ba6d9fe848","observation_id":"bd30e47f-7936-4d0c-99bc-591cf47c66b7","resolution":{"observed_at":"2026-08-02T00:14:28.893009Z","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":"2026-08-02T00:14:28.896688Z","title":"Mikulevicius and B.L","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.896688Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:635e4a214bcfd45f0086a734bfe3cbff14ef371a7b7972e14adaf84b3c4ab7a1","observation_id":"270eb897-cad4-4d7a-bee2-2087e8a29d6d","resolution":{"observed_at":"2026-08-02T00:14:28.896688Z","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":"2026-08-02T00:14:28.900430Z","title":"van Neerven, M.C","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.900430Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:159aaa1a4f22d7b3d52f18f70998c88cb088d5e98f855f4b59beacb67056629b","observation_id":"2fc13eab-246c-4ea7-8074-d4351f10e964","resolution":{"observed_at":"2026-08-02T00:14:28.900430Z","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":"2026-08-02T00:14:28.904543Z","title":"van Neerven, M.C","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.904543Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:4f615012458f811746f12e2cc7ee9b6db624a05a710ae152f8775a3dad7e83eb","observation_id":"97108dda-f16b-465e-9b80-b563d8ea4302","resolution":{"observed_at":"2026-08-02T00:14:28.904543Z","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":"2026-08-02T00:14:28.908345Z","title":"Pappalettera","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.908345Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:89394e10f7323a42897142fce7fda8abaf51fbbcad95c79bbc4291619342c1c7","observation_id":"9af3a36a-86e4-4f1c-a7e7-b788ae3ef723","resolution":{"observed_at":"2026-08-02T00:14:28.908345Z","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":"2026-08-02T00:14:28.912153Z","title":"Portal and M.C","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.912153Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:f87c77fac0789d8b0f8cb486ebff952f627699067472b5580232894f71053d85","observation_id":"fc596146-8d28-4cb1-9519-6aed481e0f66","resolution":{"observed_at":"2026-08-02T00:14:28.912153Z","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":"2026-08-02T00:14:28.916224Z","title":"Pr¨ uss and G","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.916224Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:9c8204938f955b90a17892daf3a98cb7e0e9b9b57fb2744c2ed76ccf5c14bdd5","observation_id":"0933f05a-0f64-4b63-b8fd-209c59067fe4","resolution":{"observed_at":"2026-08-02T00:14:28.916224Z","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":"2026-08-02T00:14:28.920105Z","title":"Ruzhansky and V","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise","version":2},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-02T00:14:28.920105Z"},"links":{"citing_paper":"/paper/2607.15140"},"observation_digest":"sha256:6320b5538e22c8aa33c53521b52e2cac6981f582ed8450ee7747fc0321da8a2c","observation_id":"0435f278-080f-4a2f-addf-2ef57fa531ab","resolution":{"observed_at":"2026-08-02T00:14:28.920105Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.15140","last_updated":"2026-07-28T09:44:59Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-10T11:08:55.943697Z","submitted_at":"2026-07-16T15:44:17Z","title":"Absence of blow-up in the 3D Navier-Stokes equations with transport noise"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":100,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":108},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 100 of 108 outbound references and 0 inbound Pith citation observations for arXiv:2607.15140."}