{"as_of":"2026-08-08T09:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:51e6a4a6bdbc0b0ffeabc12aff045ef6e2742c933adc7b640ce9dcf7aea08d2e","coverage":[{"denominator":23,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":23,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T11:09:16.113521Z","state":"measured"},{"denominator":23,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":23,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2506.03658/citation-record","integrity":"/paper/2506.03658/integrity","json":"/paper/2506.03658/citation-record.json","paper":"/paper/2506.03658"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:09:20.707996Z","title":"Ba nas, Z","venue":null,"work_id":"244f800a-76dc-4e7b-8abd-7f4adb5fc024","year":2014},"citing_paper":{"arxiv_id":"2506.03658","last_updated":"2025-06-04T07:48:05Z","snapshot_observed_at":"2026-08-07T10:55:37.584089Z","submitted_at":"2025-06-04T07:48:05Z","title":"Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T11:09:13.324424Z"},"links":{"citing_paper":"/paper/2506.03658"},"observation_digest":"sha256:622346c2dcf864d4d7ba267ef1e1498a403b5a15a45d323395228c49b89fc8aa","observation_id":"c37196fb-d993-4001-87f7-7b832ac8f974","resolution":{"observed_at":"2026-08-07T11:09:20.872547Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:09:20.459329Z","title":"Ba nas, Z","venue":null,"work_id":"8b82c6d6-e889-420f-9707-3e6ab4b2cddd","year":2014},"citing_paper":{"arxiv_id":"2506.03658","last_updated":"2025-06-04T07:48:05Z","snapshot_observed_at":"2026-08-07T10:55:37.584089Z","submitted_at":"2025-06-04T07:48:05Z","title":"Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T11:09:13.402162Z"},"links":{"citing_paper":"/paper/2506.03658"},"observation_digest":"sha256:0280ade38a3d8fc3cd4167ed529e34ffecd77fa1f5ece385ace2a65ab2106e43","observation_id":"8f5c5316-f9ee-4760-af72-bcbf37081693","resolution":{"observed_at":"2026-08-07T11:09:20.615058Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:09:20.255146Z","title":"Bensoussan, R","venue":null,"work_id":"d3050eff-fef0-4139-8c5a-80e35a907c60","year":1973},"citing_paper":{"arxiv_id":"2506.03658","last_updated":"2025-06-04T07:48:05Z","snapshot_observed_at":"2026-08-07T10:55:37.584089Z","submitted_at":"2025-06-04T07:48:05Z","title":"Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T11:09:13.470810Z"},"links":{"citing_paper":"/paper/2506.03658"},"observation_digest":"sha256:8ae228037eaeb8532f667b9ac426f160369de00a367926c0f370798260ce3faf","observation_id":"2f8352f7-1e6f-4cab-8d21-65cabf0bbc51","resolution":{"observed_at":"2026-08-07T11:09:20.372305Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:09:20.067394Z","title":"Billingsley, Convergence of probability measures.John Wiley and Sons, Chicago, 2013","venue":null,"work_id":"60f837f9-cfee-4839-ad99-d3412755eac1","year":2013},"citing_paper":{"arxiv_id":"2506.03658","last_updated":"2025-06-04T07:48:05Z","snapshot_observed_at":"2026-08-07T10:55:37.584089Z","submitted_at":"2025-06-04T07:48:05Z","title":"Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T11:09:13.542204Z"},"links":{"citing_paper":"/paper/2506.03658"},"observation_digest":"sha256:a2c572927771d895f4a6d8957c02d833fb5f661589b828ed1e31e5505d92c412","observation_id":"b08cfb48-0eb3-4f84-911d-e0d765006ffa","resolution":{"observed_at":"2026-08-07T11:09:20.145051Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:09:19.820422Z","title":"Blanchet, J","venue":null,"work_id":"62f4eb70-2fb4-4bc1-895e-934b3ff15963","year":2008},"citing_paper":{"arxiv_id":"2506.03658","last_updated":"2025-06-04T07:48:05Z","snapshot_observed_at":"2026-08-07T10:55:37.584089Z","submitted_at":"2025-06-04T07:48:05Z","title":"Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T11:09:13.602004Z"},"links":{"citing_paper":"/paper/2506.03658"},"observation_digest":"sha256:c9c06d9b8728ac0d5334bbd54ae6f41f81ed084c8d6b740d1487a3fada347484","observation_id":"0d8b093d-cf95-4717-a119-e654d77d5132","resolution":{"observed_at":"2026-08-07T11:09:19.936700Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:09:19.577649Z","title":"Brze´ zniak, E","venue":null,"work_id":"c084c555-d691-4113-b581-11933b9e81eb","year":2013},"citing_paper":{"arxiv_id":"2506.03658","last_updated":"2025-06-04T07:48:05Z","snapshot_observed_at":"2026-08-07T10:55:37.584089Z","submitted_at":"2025-06-04T07:48:05Z","title":"Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T11:09:13.701790Z"},"links":{"citing_paper":"/paper/2506.03658"},"observation_digest":"sha256:1530a02554aa06433181819129beddee40a880fa2f66d4b5161de09dadae4347","observation_id":"98530a9a-a651-43b3-a012-de36351ef9da","resolution":{"observed_at":"2026-08-07T11:09:19.742811Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:09:19.385320Z","title":"Caraballo, J","venue":null,"work_id":"de29482c-c005-4106-9e04-589d9261cfbc","year":2006},"citing_paper":{"arxiv_id":"2506.03658","last_updated":"2025-06-04T07:48:05Z","snapshot_observed_at":"2026-08-07T10:55:37.584089Z","submitted_at":"2025-06-04T07:48:05Z","title":"Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T11:09:13.786719Z"},"links":{"citing_paper":"/paper/2506.03658"},"observation_digest":"sha256:691d80bb80935c62873f0cd8dd65c17086558e96971e5c5520ef74c72e871b7b","observation_id":"c77d3f6a-5b57-4768-adf6-0ed90c9b199a","resolution":{"observed_at":"2026-08-07T11:09:19.448199Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:09:19.130033Z","title":"Debussche, N","venue":null,"work_id":"b452858e-3afa-4b9a-a17f-dda9e95a9e82","year":2011},"citing_paper":{"arxiv_id":"2506.03658","last_updated":"2025-06-04T07:48:05Z","snapshot_observed_at":"2026-08-07T10:55:37.584089Z","submitted_at":"2025-06-04T07:48:05Z","title":"Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T11:09:13.845227Z"},"links":{"citing_paper":"/paper/2506.03658"},"observation_digest":"sha256:6e7abe2a23995df22b4d4966407a2b791897cdef325c8bccdf9b206867196a1d","observation_id":"db916b40-fa52-4bb0-a454-dbbec4a376ab","resolution":{"observed_at":"2026-08-07T11:09:19.259914Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:09:18.928805Z","title":"De Bouard, A","venue":null,"work_id":"d3cb19cf-794a-4674-bfaf-0866d572162a","year":2004},"citing_paper":{"arxiv_id":"2506.03658","last_updated":"2025-06-04T07:48:05Z","snapshot_observed_at":"2026-08-07T10:55:37.584089Z","submitted_at":"2025-06-04T07:48:05Z","title":"Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T11:09:13.908057Z"},"links":{"citing_paper":"/paper/2506.03658"},"observation_digest":"sha256:53f02b3f9f84c39cca147a4d16ca078dedbd66b2e0f822136ab29fec15773980","observation_id":"fa030d9f-7e25-4153-ab1c-980620ae91df","resolution":{"observed_at":"2026-08-07T11:09:19.041965Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:09:18.800422Z","title":"Flandoli, D","venue":null,"work_id":"3e61ebe0-7483-44cd-ae53-76e88de32537","year":1995},"citing_paper":{"arxiv_id":"2506.03658","last_updated":"2025-06-04T07:48:05Z","snapshot_observed_at":"2026-08-07T10:55:37.584089Z","submitted_at":"2025-06-04T07:48:05Z","title":"Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T11:09:13.972359Z"},"links":{"citing_paper":"/paper/2506.03658"},"observation_digest":"sha256:4d77fb2ee826d37d7df555b07087946fe594ceeda4ad33616f18817f7a1757e6","observation_id":"cf099b0d-fa19-4a76-ac9f-8788c7756def","resolution":{"observed_at":"2026-08-07T11:09:18.850730Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:09:18.638671Z","title":"Glatt-Holtz, R","venue":null,"work_id":"7c61681b-9c9b-4e28-bbd6-606ae142ec63","year":2017},"citing_paper":{"arxiv_id":"2506.03658","last_updated":"2025-06-04T07:48:05Z","snapshot_observed_at":"2026-08-07T10:55:37.584089Z","submitted_at":"2025-06-04T07:48:05Z","title":"Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T11:09:14.054184Z"},"links":{"citing_paper":"/paper/2506.03658"},"observation_digest":"sha256:2456b1e6cc745cc695134bd68c945a6b9b994306efc4d69a264d3d75c023141b","observation_id":"c5ce4e0b-c025-4a6f-90fa-92e3b6338269","resolution":{"observed_at":"2026-08-07T11:09:18.722902Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:09:18.510278Z","title":"Granas, J","venue":null,"work_id":"fce333b3-2fe8-45d4-b4f4-273b2fff3c6b","year":2003},"citing_paper":{"arxiv_id":"2506.03658","last_updated":"2025-06-04T07:48:05Z","snapshot_observed_at":"2026-08-07T10:55:37.584089Z","submitted_at":"2025-06-04T07:48:05Z","title":"Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T11:09:14.139719Z"},"links":{"citing_paper":"/paper/2506.03658"},"observation_digest":"sha256:0748c47c8229e4773d2d2dbaed9f67ea9e15c236d3cb036ac86891b2d6c94f64","observation_id":"4b6e630f-e5f7-4907-9f02-062e8744e29f","resolution":{"observed_at":"2026-08-07T11:09:18.573859Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:09:18.393150Z","title":"Grisvard, Elliptic problems in nonsmooth domains.Pitman, Boston, 1995","venue":null,"work_id":"799ee908-5214-4215-9700-8bee45295bb0","year":1995},"citing_paper":{"arxiv_id":"2506.03658","last_updated":"2025-06-04T07:48:05Z","snapshot_observed_at":"2026-08-07T10:55:37.584089Z","submitted_at":"2025-06-04T07:48:05Z","title":"Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T11:09:14.232247Z"},"links":{"citing_paper":"/paper/2506.03658"},"observation_digest":"sha256:94704be596f9077232159fc78fe1a19acf2e8cf39b051775fb789c27f39cbb94","observation_id":"e228f0c4-60b1-4677-991e-9d149785524d","resolution":{"observed_at":"2026-08-07T11:09:18.465297Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:09:18.282164Z","title":"Ichikawa, Stability of semilinear stochastic evolution equations.J","venue":null,"work_id":"163f45b2-4b41-4d6f-a145-ceb6518ae379","year":1982},"citing_paper":{"arxiv_id":"2506.03658","last_updated":"2025-06-04T07:48:05Z","snapshot_observed_at":"2026-08-07T10:55:37.584089Z","submitted_at":"2025-06-04T07:48:05Z","title":"Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T11:09:14.285198Z"},"links":{"citing_paper":"/paper/2506.03658"},"observation_digest":"sha256:1e6ec2d00fc4dbb0517fb8fd42f25bf4b13970b9aef60ebd5ad725ab9b4ca463","observation_id":"1d1f4790-8408-4e3f-8569-128c0384215c","resolution":{"observed_at":"2026-08-07T11:09:18.332564Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:09:18.048135Z","title":"Jakubowski, The almost sure Skorokhod representation for subsequences in nonmetric spaces.Theory Probab","venue":null,"work_id":"a6ddfda6-38f9-4fc4-aaf9-ed48c290fb5f","year":1998},"citing_paper":{"arxiv_id":"2506.03658","last_updated":"2025-06-04T07:48:05Z","snapshot_observed_at":"2026-08-07T10:55:37.584089Z","submitted_at":"2025-06-04T07:48:05Z","title":"Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T11:09:14.334888Z"},"links":{"citing_paper":"/paper/2506.03658"},"observation_digest":"sha256:3eb5e69c16fdf6d4f9e8e57b6427502f46be637f41c4e7ff6eb093093bf11c2c","observation_id":"d5a246aa-158a-440a-b2b0-c8c97cc21365","resolution":{"observed_at":"2026-08-07T11:09:18.222449Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:09:17.890976Z","title":null,"venue":null,"work_id":"e883cbd5-d7a2-4f70-bd02-66503e56be1a","year":2017},"citing_paper":{"arxiv_id":"2506.03658","last_updated":"2025-06-04T07:48:05Z","snapshot_observed_at":"2026-08-07T10:55:37.584089Z","submitted_at":"2025-06-04T07:48:05Z","title":"Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T11:09:14.422314Z"},"links":{"citing_paper":"/paper/2506.03658"},"observation_digest":"sha256:fce20538112a28b626f90440527f9328d94bca949026522585b12625cb192352","observation_id":"ea081d4b-c266-47c4-98be-3ea1c6e19cf8","resolution":{"observed_at":"2026-08-07T11:09:17.958959Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:09:17.740785Z","title":null,"venue":null,"work_id":"d32e976a-e929-4e6b-a67e-2acdcfac80b0","year":2015},"citing_paper":{"arxiv_id":"2506.03658","last_updated":"2025-06-04T07:48:05Z","snapshot_observed_at":"2026-08-07T10:55:37.584089Z","submitted_at":"2025-06-04T07:48:05Z","title":"Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T11:09:14.534821Z"},"links":{"citing_paper":"/paper/2506.03658"},"observation_digest":"sha256:e5d092c4f59bf28616cb99f64a0b7ba87fc64106131e4c49545fe6808d782ffa","observation_id":"cef52209-3cb5-4cf1-b670-e059500cee30","resolution":{"observed_at":"2026-08-07T11:09:17.821207Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:09:17.641727Z","title":"Simon, Compact sets in the spaceL p p0; T;Bq.Ann","venue":null,"work_id":"36671bdb-ae78-49b8-8c3f-f9d869297d8d","year":1987},"citing_paper":{"arxiv_id":"2506.03658","last_updated":"2025-06-04T07:48:05Z","snapshot_observed_at":"2026-08-07T10:55:37.584089Z","submitted_at":"2025-06-04T07:48:05Z","title":"Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T11:09:14.623071Z"},"links":{"citing_paper":"/paper/2506.03658"},"observation_digest":"sha256:656fb17abe9f440ece3e2f2f2cade6576346f75e285559a9d0287a0f9d6e23e8","observation_id":"232e50cc-2340-44af-8c0d-022c301eec52","resolution":{"observed_at":"2026-08-07T11:09:17.689270Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:09:17.491646Z","title":"Simon, Sobolcv, Besov and Nikolskii fractional Spaces Imbeddings and comparisons for vector valued spaces on an interval.Ann","venue":null,"work_id":"3970111d-aebb-4847-8456-fae57c149692","year":1990},"citing_paper":{"arxiv_id":"2506.03658","last_updated":"2025-06-04T07:48:05Z","snapshot_observed_at":"2026-08-07T10:55:37.584089Z","submitted_at":"2025-06-04T07:48:05Z","title":"Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T11:09:14.668906Z"},"links":{"citing_paper":"/paper/2506.03658"},"observation_digest":"sha256:872ace29ac6d15d16c032f8cc02f02020b2c06b8e709ec3e2e5d1fc8d321714a","observation_id":"7d26ee0b-c6da-46c1-a6ad-2319065b7b0f","resolution":{"observed_at":"2026-08-07T11:09:17.557860Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:09:17.342815Z","title":null,"venue":null,"work_id":"4218d02d-336c-48f4-ab1c-99a9ed34ea30","year":2011},"citing_paper":{"arxiv_id":"2506.03658","last_updated":"2025-06-04T07:48:05Z","snapshot_observed_at":"2026-08-07T10:55:37.584089Z","submitted_at":"2025-06-04T07:48:05Z","title":"Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T11:09:14.718026Z"},"links":{"citing_paper":"/paper/2506.03658"},"observation_digest":"sha256:e815c46c7791830ddc6148ab80cd7105b763225b53be8f2f3d687ce226f37172","observation_id":"d0d2bf14-d1ec-4197-9109-c6a1a3aceb02","resolution":{"observed_at":"2026-08-07T11:09:17.419805Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:09:17.233167Z","title":null,"venue":null,"work_id":"1204e2ac-58c1-4b35-b61a-0927c66e7614","year":1987},"citing_paper":{"arxiv_id":"2506.03658","last_updated":"2025-06-04T07:48:05Z","snapshot_observed_at":"2026-08-07T10:55:37.584089Z","submitted_at":"2025-06-04T07:48:05Z","title":"Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T11:09:14.778610Z"},"links":{"citing_paper":"/paper/2506.03658"},"observation_digest":"sha256:8d8d727d13aab68933dde5e296be3b3345b3410a2e3c0fa2433ea65ee792cef7","observation_id":"a97f3cb5-28bf-496c-91ee-66e74ca397b6","resolution":{"observed_at":"2026-08-07T11:09:17.281391Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:09:17.098112Z","title":null,"venue":null,"work_id":"58bab834-e099-491f-9b08-e59ec5ba73ce","year":2020},"citing_paper":{"arxiv_id":"2506.03658","last_updated":"2025-06-04T07:48:05Z","snapshot_observed_at":"2026-08-07T10:55:37.584089Z","submitted_at":"2025-06-04T07:48:05Z","title":"Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T11:09:14.984317Z"},"links":{"citing_paper":"/paper/2506.03658"},"observation_digest":"sha256:c670cb3406ff6a244c3e4d8fdbbd0196bf2853aa5dd81d258adec9b68fab598e","observation_id":"ea6eb263-99fb-4d05-bd53-c1e94a57470e","resolution":{"observed_at":"2026-08-07T11:09:17.169871Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:09:16.983838Z","title":"Zhang, B","venue":null,"work_id":"c006e1ba-b27d-41b1-aa26-bfecbc2927e8","year":2024},"citing_paper":{"arxiv_id":"2506.03658","last_updated":"2025-06-04T07:48:05Z","snapshot_observed_at":"2026-08-07T10:55:37.584089Z","submitted_at":"2025-06-04T07:48:05Z","title":"Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T11:09:16.113521Z"},"links":{"citing_paper":"/paper/2506.03658"},"observation_digest":"sha256:42debc1de020c85b9de9329af536f69ca4c7b734269bfb5832eaed9fa3c612e5","observation_id":"229bf2ba-19dc-4afa-8cec-b26603889a20","resolution":{"observed_at":"2026-08-07T11:09:17.038944Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.03658","last_updated":"2025-06-04T07:48:05Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-07T10:55:37.584089Z","submitted_at":"2025-06-04T07:48:05Z","title":"Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise"},"reference_resolution":{"displayed":23,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":0,"verified_fuzzy":18},"total_outbound_references":23},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2506.03658."}