{"as_of":"2026-08-11T17:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1c0b72b441e02c353888f938f157734e8787502dfc2b2e1a05105bf18aed72b3","coverage":[{"denominator":137,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T05:46:26.203813Z","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":"2026-08-11T06:34:44.6726+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/2607.22146/citation-record","integrity":"/paper/2607.22146/integrity","json":"/paper/2607.22146/citation-record.json","paper":"/paper/2607.22146"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T05:46:12.764931Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:12.764931Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:e0ecae2000075c4b58b8bad3891beb8e4a3f5553673dfd306952784f120bfe17","observation_id":"491ef1fb-8c7a-4155-9b58-a5ad9054bc80","resolution":{"observed_at":"2026-08-01T05:46:12.764931Z","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":"2026-08-01T05:46:13.085823Z","title":"Eugene Wayne , date-added =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:13.085823Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:53bb602ad8725f7b46fa657e8d4d659888df763190c869910a140732b9904e07","observation_id":"48a09c87-cc69-4561-8aeb-fbc6f1b61018","resolution":{"observed_at":"2026-08-01T05:46:13.085823Z","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":"2026-08-01T05:46:13.201463Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:13.201463Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:50f81937ea91800e71b01292f448555a895c63f7effaa9c2f73e4d8b2afcecfb","observation_id":"e052013b-d3a2-4f8a-a777-7b94ee133725","resolution":{"observed_at":"2026-08-01T05:46:13.201463Z","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":"2026-08-01T05:46:13.290389Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:13.290389Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:a7d0a55416850d8f3a94844ab3895aaaaf6805e3c28bc8821605e86c253cfe67","observation_id":"2f3506dc-a879-40c9-87be-2c48b2d6964c","resolution":{"observed_at":"2026-08-01T05:46:13.290389Z","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":"2026-08-01T05:46:13.388829Z","title":"Cannone and C","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:13.388829Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:c584b5256003195ff2a48f555bdb83adcf13b3eeaac7c4de409c8bae06705643","observation_id":"543d8f0b-4755-43ee-ab60-0f7bec9f34ef","resolution":{"observed_at":"2026-08-01T05:46:13.388829Z","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":"2026-08-01T05:46:13.502294Z","title":"Russian Journal of Mathematical Physics , number =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:13.502294Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:037af12c91849ad580d9a21e774ec018ccc9ef65e2df3ef320b52c3b92a1b983","observation_id":"13628b99-0705-4f65-bc16-93ae88a0d2d0","resolution":{"observed_at":"2026-08-01T05:46:13.502294Z","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":"2026-08-01T05:46:13.619633Z","title":"International Mathematics Research Notices , number =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:13.619633Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:c761635c8ffe657fc950dff53c377039224f7ad109a35d39bb3b5795b5ba9a73","observation_id":"14a099b7-0a43-46c7-b31a-465497903c0f","resolution":{"observed_at":"2026-08-01T05:46:13.619633Z","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":"2026-08-01T05:46:13.733531Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:13.733531Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:1583b2cba241080d38e6e1ed7c763dea78a530f04276bab7559040fcb506c822","observation_id":"a9640150-2cf4-4a5c-8b66-5d4c46b785fa","resolution":{"observed_at":"2026-08-01T05:46:13.733531Z","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":"2026-08-01T05:46:13.846520Z","title":"Schonbek , date-added =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:13.846520Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:ae4607a565fa80d3d8d42b2c85232cc78fc805f313174e01ea107b54f71115c9","observation_id":"cd8a4bd0-83e0-450b-9553-b4f015e1cbc2","resolution":{"observed_at":"2026-08-01T05:46:13.846520Z","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":"2026-08-01T05:46:13.893727Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:13.893727Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:a08ea9ff3e744e6a4a1b1c88b704a1bbe25042c6e6c5e696df606097693f919c","observation_id":"e79e6f95-58e4-44e2-9c2b-45bd5ba0d55f","resolution":{"observed_at":"2026-08-01T05:46:13.893727Z","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":"2026-08-01T05:46:13.930453Z","title":"Schonbek , date-added =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:13.930453Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:f069c558188254517490d6dafb769d2892adcbe3a38d64ac8e06b7e15bc4e4ad","observation_id":"652bdca5-d3b2-47c5-839a-181c5181fd0d","resolution":{"observed_at":"2026-08-01T05:46:13.930453Z","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":"2026-08-01T05:46:14.083947Z","title":"Journal of the London Mathematical Society , number =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:14.083947Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:9dd864a540b5e74ed73bfc88b670bef6dfb404b5beb334147e6a7fd91582eff1","observation_id":"cbc17ec8-85f1-4270-acb7-0b9a0dc3703f","resolution":{"observed_at":"2026-08-01T05:46:14.083947Z","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":"2026-08-01T05:46:14.203740Z","title":"Mathematische Zeitschrift , pages =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:14.203740Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:5cb9fd26978480c7577dfad016b8e263ff0e2c086a7608af121c8a58f39e5026","observation_id":"ba4f16e4-2917-49f9-82de-ac82a3ee7207","resolution":{"observed_at":"2026-08-01T05:46:14.203740Z","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":"2026-08-01T05:46:14.347726Z","title":"Schonbek , date-added =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:14.347726Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:c90ab985d4a579bb5999db745296ff5e77185107724c45acfbe1fd15c738918e","observation_id":"2157d8b1-3e84-474d-8db9-e18d691367ef","resolution":{"observed_at":"2026-08-01T05:46:14.347726Z","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":"2026-08-01T05:46:14.520249Z","title":"Schonbek , date-added =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:14.520249Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:7a717812cf427bc559938bc8dc152daddf23449c14988ef33c5b2a8e387413d4","observation_id":"28e0aadb-0983-4e37-997c-9b2eed5d4bae","resolution":{"observed_at":"2026-08-01T05:46:14.520249Z","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":"2026-08-01T05:46:14.626982Z","title":"Amrouche and V","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:14.626982Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:f0507d26d80656b63932c08d491fde847a02d21afd5f3bd16e341ba79c004a02","observation_id":"1ac6e750-d2db-4c2b-9dce-671f3b7698fe","resolution":{"observed_at":"2026-08-01T05:46:14.626982Z","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":"2026-08-01T05:46:14.742938Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:14.742938Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:caa3e21f780883896d7238722fe62da521c07e728ae543a292b0923b0aefa92a","observation_id":"b883a46d-1832-4bf1-b052-479bbed8f4be","resolution":{"observed_at":"2026-08-01T05:46:14.742938Z","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":"2026-08-01T05:46:14.836357Z","title":"Dobrokhotov and A.I","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:14.836357Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:5bfbe5ef0769031e0021aefabb79d3e94cc8335733d2f2d31746fb3660061ebe","observation_id":"cb77f23f-be6b-43c3-a911-09f78e401cc0","resolution":{"observed_at":"2026-08-01T05:46:14.836357Z","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":"2026-08-01T05:46:15.002515Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:15.002515Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:22e04d5dbfc9cce3df2ccff37cc0929c0e86ecb66a7b8fabf39d9a807d473aff","observation_id":"9bf45625-806a-46d6-a8cf-e15053f1f868","resolution":{"observed_at":"2026-08-01T05:46:15.002515Z","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":"2026-08-01T05:46:15.108673Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:15.108673Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:e36759a3e6422c32048050cb490420174aa979e26d22a7a6e21ffeffa24f7d4a","observation_id":"7f2449cc-fa24-4029-a9cb-57bb860e4036","resolution":{"observed_at":"2026-08-01T05:46:15.108673Z","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":"2026-08-01T05:46:15.206902Z","title":"Nonlinear Analysis: Theory, Methods & Applications , number =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:15.206902Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:4fc7494b511fd5797a2a7cf6b5c77cf4c8af953802ed45aac36a591fc6e2ebfa","observation_id":"3d9b3057-ff62-4dfd-ab77-f4e418a902f1","resolution":{"observed_at":"2026-08-01T05:46:15.206902Z","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":"2026-08-01T05:46:15.374213Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:15.374213Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:f3365ef994547d9d0254ee11e922d5d0447c35a917ff39bb30d019e4eac9d5a6","observation_id":"a9d70617-083a-4401-bf01-e1114b803e38","resolution":{"observed_at":"2026-08-01T05:46:15.374213Z","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":"2026-08-01T05:46:15.479451Z","title":"Eugene Wayne , date-added =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:15.479451Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:836d0bd25544da4678b9b76685c29a1d6cf661174489b9831ff0860f946f6cc8","observation_id":"f8ce181d-ae97-4b9a-9f6b-1027b5e00344","resolution":{"observed_at":"2026-08-01T05:46:15.479451Z","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":"2026-08-01T05:46:15.584260Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:15.584260Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:84ed7c9d25df9daf7773ae9fcfb97aafd96d7779420076db6020b3658f830521","observation_id":"3af8a805-5d2b-4723-9941-38f3039f5632","resolution":{"observed_at":"2026-08-01T05:46:15.584260Z","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":"2026-08-01T05:46:15.679039Z","title":"ESAIM: Control, Optimisation and Calculus of Variations , month =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:15.679039Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:bd9bbb83b094b4a1a7009100ef6ba59f26137722dc736096b334bae50e745c77","observation_id":"5f827b9e-c5b9-4030-b7cc-e1ebd76bde0a","resolution":{"observed_at":"2026-08-01T05:46:15.679039Z","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":"2026-08-01T05:46:15.778605Z","title":"Funkcial","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:15.778605Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:5ca260b2c1566b7c20026082e702a35f784fd61646d6fec96f5ef10068e0da26","observation_id":"68988b76-9215-4eab-853c-cc8285ac2949","resolution":{"observed_at":"2026-08-01T05:46:15.778605Z","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":"2026-08-01T05:46:15.894032Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:15.894032Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:8a6e2c436b76d38b4fe8ececacec98af4cf83d86e63b5a2452c03c5f2cd29151","observation_id":"52fb485b-9ff6-405d-bbdf-c9e66a129d50","resolution":{"observed_at":"2026-08-01T05:46:15.894032Z","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":"2026-08-01T05:46:16.037906Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:16.037906Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:743f9999cfce1111dec988986a1bb366b613a6960d82a5387f71bd416ff3c424","observation_id":"ac96a294-6f1e-4af9-a6c4-aefed7356010","resolution":{"observed_at":"2026-08-01T05:46:16.037906Z","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":"2026-08-01T05:46:16.207974Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:16.207974Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:d845d37accad19fd2e681e0f25900477d4a25002e04fd86aec673479847bcadb","observation_id":"2dc2ca43-4a86-44cf-ab82-281b9610488a","resolution":{"observed_at":"2026-08-01T05:46:16.207974Z","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":"2026-08-01T05:46:16.410967Z","title":"Nonlinearity , pages =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:16.410967Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:e577a3dabb259d6c4e526e7485652cd67d555a634a429aa287f874c9a89fb5ba","observation_id":"e8df4e52-5838-4eba-bec5-d80bae4f7f48","resolution":{"observed_at":"2026-08-01T05:46:16.410967Z","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":"2026-08-01T05:46:16.588481Z","title":"Shreve , date-added =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:16.588481Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:21fee0ba032286bc6b79134d9e4d992b741a7aa42e36ac1b6cc035157643bb43","observation_id":"3e3ee152-148f-46e1-8b72-6fb7b6aaa5da","resolution":{"observed_at":"2026-08-01T05:46:16.588481Z","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":"2026-08-01T05:46:16.759752Z","title":"Constantin and W","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:16.759752Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:0023e996050aa4b2b8a23bf63ecffc6912ac0024b2eab78be893e836224ad0d3","observation_id":"f90d401b-2b1f-4f51-a946-4a82fb4f33d8","resolution":{"observed_at":"2026-08-01T05:46:16.759752Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.11482","last_updated":"2025-05-07T21:32:22Z","snapshot_observed_at":"2026-07-06T17:31:45.847395Z","submitted_at":"2024-02-18T07:13:31Z","title":"Martingale Suitable Weak Solutions of $3$-D Stochastic Navier-Stokes Equations with Vorticity Bounds","version":3},"cited_work":{"arxiv_id":"2402.11482","doi":"10.48550/arxiv.2402.11482","metadata_source":"pith","pith_arxiv_id":"2402.11482","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"Martingale Suitable Weak Solutions of $3$-D Stochastic Navier-Stokes Equations with Vorticity Bounds","venue":"math.PR","work_id":"8c780115-dd55-40e7-a7b4-b01a0825ac38","year":2024},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:16.876840Z"},"links":{"cited_paper":"/paper/2402.11482","citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:30d582ab09063b881ee751841ce8c9fcd9d19bfaa17ea793563868cdf3153b07","observation_id":"8fd3ef2e-5d0e-44ef-99d5-9a6a33b3742e","resolution":{"observed_at":"2026-08-01T05:48:24.154603Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T05:46:17.029410Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:17.029410Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:29af9af22f3964df92ea10c89398da065a158ed6766ff740f2c4dbe4f40e797b","observation_id":"33abcd85-a30f-4ffb-8469-e63f09609233","resolution":{"observed_at":"2026-08-01T05:46:17.029410Z","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":"2026-08-01T05:46:17.170066Z","title":"Guermond and S","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:17.170066Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:2ffa380ecb599d94ce4b71a11b22c70f7050c5373257e68526d900c3ef33a7c5","observation_id":"cde8a411-5e65-4ea0-b175-675ad0b32737","resolution":{"observed_at":"2026-08-01T05:46:17.170066Z","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":"2026-08-01T05:46:17.315429Z","title":"Guermond and S","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:17.315429Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:75fb54f8d8a3b1ba364db03e1029b92e5fd9db58b6f2e7ce4b416eda3ab6c236","observation_id":"4e49a20a-3492-42f5-85ef-b29a0a67481a","resolution":{"observed_at":"2026-08-01T05:46:17.315429Z","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":"2026-08-01T05:46:17.505673Z","title":"Planchon , date-added =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:17.505673Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:e638bf711c831cda057f5415c8a0e5275fafbe84394e918452f76988378791e9","observation_id":"df3bfab2-3dcd-4fd9-903f-d73920583cc1","resolution":{"observed_at":"2026-08-01T05:46:17.505673Z","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":"2026-08-01T05:46:17.615790Z","title":"Cannone , date-added =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:17.615790Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:42e3f17f72195e2cdfc3fda6c961e5cd694b4426b63d53d0f83732f6cecb7d5c","observation_id":"23dca4c5-18bd-438d-a813-0a662af41b26","resolution":{"observed_at":"2026-08-01T05:46:17.615790Z","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":"2026-08-01T05:46:17.698297Z","title":"Chemin and I","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:17.698297Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:6e3ddc6ad3159f604e38a7f5ede60b3bab01c656412040cd54ea45350829662a","observation_id":"7eee4482-f673-438a-be86-6bfec6e69429","resolution":{"observed_at":"2026-08-01T05:46:17.698297Z","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":"2026-08-01T05:46:17.767712Z","title":"Cannone and Y","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:17.767712Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:a858099e98d462c86b3e32533abfdb783c681747e862d94cfb7a7d4368b7415e","observation_id":"ae67b260-713c-4717-9ae7-253d70c059b5","resolution":{"observed_at":"2026-08-01T05:46:17.767712Z","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":"2026-08-01T05:46:17.853486Z","title":"Bourgain and N","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:17.853486Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:f7d57ef0194f9fbf519b6372e99256595bd4cbfd397061691b33ece3684a608a","observation_id":"b32acfa6-c5ab-437f-b528-1ec39da48e4d","resolution":{"observed_at":"2026-08-01T05:46:17.853486Z","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":"2026-08-01T05:46:18.007799Z","title":"Giga , date-added =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:18.007799Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:a49164fd52ad94e5de6a4ecb9c2f82c374fc2fd828cb93887f24c216b1ec7010","observation_id":"98c39818-b3ea-447c-948f-bc35ed0c3e69","resolution":{"observed_at":"2026-08-01T05:46:18.007799Z","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":"2026-08-01T05:46:18.146043Z","title":"Koch and D","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:18.146043Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:70ec4e802e28e761f1fed05787dfcfaef2128d0c79c231e0445f2555515d5793","observation_id":"1661a983-9c80-4867-bd5b-849f3792b9e1","resolution":{"observed_at":"2026-08-01T05:46:18.146043Z","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":"2026-08-01T05:46:18.351186Z","title":"Cannone , date-added =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:18.351186Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:0799aebf5e67e489ffdf3d052e53683428b5809b12f947fa71f18b4d42eb09ce","observation_id":"a1c00bb7-4d98-4bef-b4b2-401a49c7e24f","resolution":{"observed_at":"2026-08-01T05:46:18.351186Z","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":"2026-08-01T05:46:18.494431Z","title":"Chemin , date-added =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:18.494431Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:f209e88c2998f0ee06ba33faeebc4528647fc51eb77dfe4fb02233bcc4f929a0","observation_id":"bccbbc7b-c4c2-436f-9045-c925ed99d8c2","resolution":{"observed_at":"2026-08-01T05:46:18.494431Z","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":"2026-08-01T05:46:18.641257Z","title":"Fujita and T","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:18.641257Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:d381d0699a439cb99a955ed6a11b565761f4363ffcd73edb7f4c3f33f9413148","observation_id":"5ed19258-392a-4d84-be67-a428a4aea6b2","resolution":{"observed_at":"2026-08-01T05:46:18.641257Z","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":"2026-08-01T05:46:18.787162Z","title":"Robinson and Jos","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:18.787162Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:af4235194267a28c14d5c4fcced064c977bd28a16bf00e1e40dedc63658b43b8","observation_id":"b2d8eea7-0b24-44ec-aaf0-3465cd922930","resolution":{"observed_at":"2026-08-01T05:46:18.787162Z","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":"2026-08-01T05:46:18.977034Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:18.977034Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:b173c83e8c085b42e8bfa949f2c389562bacb7263919445db039898418d5f858","observation_id":"c6e515c6-3588-4d27-a9af-de6d55abf6e9","resolution":{"observed_at":"2026-08-01T05:46:18.977034Z","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":"2026-08-01T05:46:19.108477Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:19.108477Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:8185b93649412f498e8ca1cf89f470e087035392c3897ee6100093788e418bbf","observation_id":"f27d8d88-2271-4c18-8847-80113696d68d","resolution":{"observed_at":"2026-08-01T05:46:19.108477Z","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":"2026-08-01T05:46:19.225246Z","title":"Current developments in mathematics, 1996 (Cambridge, MA) , pages =","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:19.225246Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:d0b4073b10df8a8ce0be4630951b1043de56745dbcfb93c4e9df08ce89bb2faa","observation_id":"005d60e1-4cc8-4693-931e-796c6d1283af","resolution":{"observed_at":"2026-08-01T05:46:19.225246Z","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":"2026-08-01T05:46:19.447123Z","title":"Analysis , number =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:19.447123Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:011c973f763f1702add094c6910ebe0aa519c9af7f39bfef652ff617bb6cc285","observation_id":"cc27a13a-fff0-414f-9e59-5026f71d5734","resolution":{"observed_at":"2026-08-01T05:46:19.447123Z","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":"2026-08-01T05:46:19.507112Z","title":"Manuscripta Math","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:19.507112Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:4c26a44361fc08c1b64e7d812635b9950a114ad4f3e446c9e3d771252bff938d","observation_id":"77002d5f-4d94-47cd-8a9f-ad45bc0605f9","resolution":{"observed_at":"2026-08-01T05:46:19.507112Z","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":"2026-08-01T05:46:19.522816Z","title":"Tohoku Math","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:19.522816Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:d8564b036628c36939ab37729c54849e43bc5459180fc3cccdf7e0edfe400bd7","observation_id":"80b30998-dae0-43e6-9f29-ce5f8acc57df","resolution":{"observed_at":"2026-08-01T05:46:19.522816Z","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":"2026-08-01T05:46:19.659831Z","title":"Heywood , date-added =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:19.659831Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:4662e8fec774f8d95210f44fa8a7aaa1b93db4ce9c6b4bdef6f41a14075a6640","observation_id":"249a2401-6af3-43b4-b437-a238b41cb578","resolution":{"observed_at":"2026-08-01T05:46:19.659831Z","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":"2026-08-01T05:46:19.729826Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:19.729826Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:9411b452fba0da72bfc9b4190a51fae42b9257e5477d26c171fc936a44426624","observation_id":"d12df99b-ec00-4066-bd3a-7b06fa46e4be","resolution":{"observed_at":"2026-08-01T05:46:19.729826Z","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":"2026-08-01T05:46:19.839044Z","title":"Farwig and H","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:19.839044Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:8da563fd55858876b639e155faa1b71d337cfae434d20a32bf08a276e11969e4","observation_id":"047b6cfb-eb87-43d8-8fe9-7e5d3b29c533","resolution":{"observed_at":"2026-08-01T05:46:19.839044Z","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":"2026-08-01T05:46:19.942612Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:19.942612Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:b22a396a011686f58e26aed1e7368c32c0802259ae8b6f94f3ffc0a74e38bf8b","observation_id":"db3eac2f-4c79-4f6e-bd77-ce154b840eac","resolution":{"observed_at":"2026-08-01T05:46:19.942612Z","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":"2026-08-01T05:46:20.055701Z","title":"Communications in Partial Differential Equations , number =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:20.055701Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:df1720acb0a41db54ab4d342dcd09e1ab20da2c6f7db9304c6dd8998279eb201","observation_id":"573eec75-e56c-41ca-b38b-75a1c328203c","resolution":{"observed_at":"2026-08-01T05:46:20.055701Z","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":"2026-08-01T05:46:20.159078Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:20.159078Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:9cf0906ea7f4ddfc2e8bbf1b2983216da2ccbd2eaf9959cf2342b8f8c8422e59","observation_id":"41ede583-38ef-45ed-865e-422c09a70f38","resolution":{"observed_at":"2026-08-01T05:46:20.159078Z","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":"2026-08-01T05:46:20.251415Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:20.251415Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:1e81991f5a51a5a93addba83d06b8754e67f6094c5537286a6d1dbd4d5685ff1","observation_id":"a8c7345a-eda4-4369-bd37-f2e2d433a68c","resolution":{"observed_at":"2026-08-01T05:46:20.251415Z","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":"2026-08-01T05:46:20.377565Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:20.377565Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:53b13f45193113f144912cac17b9fc7b9bff7f63336bd92c805b034d767dcce1","observation_id":"05af1514-fc53-4f5d-9504-2fb76f87314f","resolution":{"observed_at":"2026-08-01T05:46:20.377565Z","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":"2026-08-01T05:46:20.478666Z","title":"Lions , date-added =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":62,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:20.478666Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:1bcfea0b8ac975557cc4292da96c07cb36339160138708883e777be6461531bb","observation_id":"e55ceb44-ee2e-4be6-9e1a-4d046fa28641","resolution":{"observed_at":"2026-08-01T05:46:20.478666Z","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":"2026-08-01T05:46:20.645707Z","title":"Guermond , date-added =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:20.645707Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:0d591cc4056ee39dce970a9901bd0b4c250b6c8959e5a1a3dceacdb6c685f06f","observation_id":"b4c66c2d-377e-446c-8ff6-2e8fd9974ae1","resolution":{"observed_at":"2026-08-01T05:46:20.645707Z","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":"2026-08-01T05:46:20.773174Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":64,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:20.773174Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:6fbd8d5e4dad19b73671cc3957ea6250fe94f6a3a2f1340bceb896023710e2da","observation_id":"8a73273b-dee1-4c85-96b3-1bbaac253876","resolution":{"observed_at":"2026-08-01T05:46:20.773174Z","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":"2026-08-01T05:46:20.938623Z","title":"Biryuk and W","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":65,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:20.938623Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:de6eac9f9df28e802378f7226120aae2ad43a79b602508d3b709600962a931be","observation_id":"9b311fab-da62-42ad-bf5c-8372ddafdd55","resolution":{"observed_at":"2026-08-01T05:46:20.938623Z","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":"2026-08-01T05:46:21.110289Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":66,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:21.110289Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:0978fb76128ccb9e8a5c061ec1f0ebaa17a8e36f71398ba9616a37b5e1129aad","observation_id":"4f0b99db-82c7-4bb7-a4ae-3b716966b16b","resolution":{"observed_at":"2026-08-01T05:46:21.110289Z","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":"2026-08-01T05:46:21.287344Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":67,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:21.287344Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:66dffc12c04f6a57ad792fc593809baba754cbd8af9a72d2e0717a12bc36a046","observation_id":"62fe0b93-b83a-4d4b-a5c1-e372c37401d6","resolution":{"observed_at":"2026-08-01T05:46:21.287344Z","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":"2026-08-01T05:46:21.394018Z","title":"Gatarek and B","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":68,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:21.394018Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:460d187db216c45136a85ae6dd3d7bfeb569209109c9bfe3308a34ad3659eca8","observation_id":"20d48578-d51e-4040-9221-1b4757912b6a","resolution":{"observed_at":"2026-08-01T05:46:21.394018Z","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":"2026-08-01T05:46:21.501126Z","title":"Gatarek , date-added =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":69,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:21.501126Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:86ee822dd7e66b6a1726f61d394ec79e6b23c1bacd848c9d7a770d0d95dec10e","observation_id":"3a082f5a-7779-4e86-8fb0-eb79f4b581a8","resolution":{"observed_at":"2026-08-01T05:46:21.501126Z","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":"2026-08-01T05:46:21.669117Z","title":"These de Doctorat, Paris VI , title =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":70,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:21.669117Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:6f3accde255dc714620d46e1a169a410565b8c88673d50f86bb44e9a1a6834d8","observation_id":"7aebdab4-e45d-445e-bc18-8bdfcff7d221","resolution":{"observed_at":"2026-08-01T05:46:21.669117Z","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":"2026-08-01T05:46:21.847193Z","title":"Quaderni Scuola Normale Superiore, Pisa, , title =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":71,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:21.847193Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:13adc26adb4f7e8c95cf4af52c00af9012c015ab9d9bce0e6264291bd263536d","observation_id":"0296ffe1-85b1-4084-b976-f45afa0c84d3","resolution":{"observed_at":"2026-08-01T05:46:21.847193Z","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":"2026-08-01T05:46:22.059331Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":72,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:22.059331Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:3c21a1ef5d01c4b5c1f22bedf3291fcb1182c6288485c999efda8b9747e2d648","observation_id":"5bf63d24-a674-4b86-9b95-1e1b41d0a4ac","resolution":{"observed_at":"2026-08-01T05:46:22.059331Z","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":"2026-08-01T05:46:22.225148Z","title":"Kukavica and Y","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":73,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:22.225148Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:edc18508da4e2ac212d74acb657e177340d8237159abc99563ff6844b631ab4e","observation_id":"667b0109-1245-4769-8fad-8320ebf9b45c","resolution":{"observed_at":"2026-08-01T05:46:22.225148Z","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":"2026-08-01T05:46:22.383278Z","title":"Kukavica , date-added =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":74,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:22.383278Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:242ba325ce771d92762279eeb4e6e5cfdf035a2a2df6e98acefea884e996ff44","observation_id":"11b05aab-ae55-4782-bcbd-77b883cf86c0","resolution":{"observed_at":"2026-08-01T05:46:22.383278Z","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":"2026-08-01T05:46:22.600492Z","title":"Kukavica , date-added =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":75,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:22.600492Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:da11701b944a6d700b33de0fe843054037c2a14026df5f0e754350a6723b1e08","observation_id":"3c75b83e-7073-4ef5-baed-74968ac9a0c2","resolution":{"observed_at":"2026-08-01T05:46:22.600492Z","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":"2026-08-01T05:46:22.767031Z","title":"Vasseur , date-added =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":76,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:22.767031Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:e9276341ebcb1dbbfa4c85174acb292058991acf47cebd571a3be1e7cbb61e87","observation_id":"c959ec0f-80e4-4cc4-ae10-2baa1116a2cf","resolution":{"observed_at":"2026-08-01T05:46:22.767031Z","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":"2026-08-01T05:46:22.937023Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":77,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:22.937023Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:535e770c3b369dd2d3b115f4b7651e8f33589c56043069e0dc4b89b330ccde7d","observation_id":"98492135-b8e0-49a8-beb6-32ac1ac24c77","resolution":{"observed_at":"2026-08-01T05:46:22.937023Z","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":"2026-08-01T05:46:23.104150Z","title":"Communications on Pure and Applied Mathematics , pages =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":78,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:23.104150Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:61f822d13d09ac1f26880c99a3b2041b328db43d1014d895230e2f988f3d9a22","observation_id":"8bef428c-57e3-45e0-ae40-0c72339e0217","resolution":{"observed_at":"2026-08-01T05:46:23.104150Z","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":"2026-08-01T05:46:23.274399Z","title":"Caffarelli and R","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":79,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:23.274399Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:555c62f6f67ad393549245ee7f7f0b67f7569ddf1d7e2c5417d7358197e26f45","observation_id":"0ce5328c-3bbc-43af-8362-38a3c004daf6","resolution":{"observed_at":"2026-08-01T05:46:23.274399Z","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":"2026-08-01T05:46:23.422839Z","title":"Commun.Math","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":80,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:23.422839Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:c69215b5e72dbff247c04d027beaa9feba923502f2ba5b33478e5e8508e80f1f","observation_id":"6cef5668-d3cf-4c93-a4ac-85da93c85274","resolution":{"observed_at":"2026-08-01T05:46:23.422839Z","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":"2026-08-01T05:46:23.623058Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":81,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:23.623058Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:1a93b42c0a781c6d3f1047bc1c6711355aed7fdc2dced67ecb4e4175bd80e032","observation_id":"7385fd9c-f238-4ced-ab05-d1ee2b28ae9c","resolution":{"observed_at":"2026-08-01T05:46:23.623058Z","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":"2026-08-01T05:46:23.724830Z","title":"Romito , date-added =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":82,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:23.724830Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:add6acfdc1c51e324212bb8bc6e3a53ffed271251f7bf22867344a8435ef6a48","observation_id":"4fdbb0f5-0e78-4db9-8f50-d16a8653f8d9","resolution":{"observed_at":"2026-08-01T05:46:23.724830Z","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":"2026-08-01T05:46:23.836809Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":83,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:23.836809Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:6f1b99a4cf889db4eacafbd6f8e9320c7a07a13f80975600f5e22ac5a0511eb8","observation_id":"b0f5ef99-0808-4478-862d-41a7a54eeca4","resolution":{"observed_at":"2026-08-01T05:46:23.836809Z","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":"10.2140/apde.2020.13.371","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"doi:10.2140/apde.2020.13.371 , journal =","venue":"Analysis & PDE","work_id":"a1d30b86-99ce-4e53-8096-abf8010ba08b","year":2020},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":84,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:23.921553Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:a52c572a483f6349af98ef21e15a749cd13474faa7acf7076f1080295541e117","observation_id":"c51ee071-3f6a-442e-a2a7-1bfd1959a61e","resolution":{"observed_at":"2026-08-01T05:48:23.917438Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T05:46:23.982366Z","title":"Crisan and F","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":85,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:23.982366Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:b3d9b8c4d52195d0080a42a5670f0900fb964cc0dd195924e65a84131f2d8679","observation_id":"f42c88f1-d2b2-44e8-a906-bf30257bd6e7","resolution":{"observed_at":"2026-08-01T05:46:23.982366Z","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":"2026-08-01T05:46:24.086375Z","title":"Mikulevicius and G","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":86,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:24.086375Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:05c9635b903ec0f4f30076cda6ce925b7abff3f650db23e893dddfbf6a97135a","observation_id":"66fb9aab-d1c1-4f6c-836a-519cdaef6e17","resolution":{"observed_at":"2026-08-01T05:46:24.086375Z","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":"2026-08-01T05:46:24.186192Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":87,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:24.186192Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:7737e5e81e2f301fe9ba88633684bc8f06cf03315519b6df3fbb3bf14dc28392","observation_id":"2d6e4373-bbf4-4bd0-bf55-4b602f531ef6","resolution":{"observed_at":"2026-08-01T05:46:24.186192Z","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":"2026-08-01T05:46:24.286736Z","title":"Brz\\'ezniak and S","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":88,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:24.286736Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:22ea66cbb2626d6ad2d5716da7f08ebff4bfc1e46beede3d68f54c0241c00e01","observation_id":"87a63b92-9dc2-477d-91ea-919e1c320a21","resolution":{"observed_at":"2026-08-01T05:46:24.286736Z","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":"2026-08-01T05:46:24.395417Z","title":"Brz\\'ezniak and F","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":89,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:24.395417Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:5815cd74eee2b6c379cfba98480c164d6f978f293bb0b94850f8eb08bf1ddc96","observation_id":"7964a5c0-6166-4aa2-b6d3-39ac3cf72a79","resolution":{"observed_at":"2026-08-01T05:46:24.395417Z","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":"2026-08-01T05:46:24.507016Z","title":"Bessaih and F","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":90,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:24.507016Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:2d571747828c92f8c9206bea64f2d057e9a8095034f0ea2f60e4d6d602e99b58","observation_id":"01a02181-d936-4202-95ac-03128a57ab33","resolution":{"observed_at":"2026-08-01T05:46:24.507016Z","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":"2026-08-01T05:46:24.681414Z","title":"Bessaih , date-added =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":91,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:24.681414Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:6256ed1670fe83f14e4d44b7bc17f408c882d501cc42a8388bb000da18dab29f","observation_id":"03ee4168-7c6e-453d-9223-5ac4e4cd9d57","resolution":{"observed_at":"2026-08-01T05:46:24.681414Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1904.07977","last_updated":"2019-04-16T20:47:19Z","snapshot_observed_at":"2026-07-06T07:46:37.610002Z","submitted_at":"2019-04-16T20:47:19Z","title":"Ill posedness for the full Euler system driven by multiplicative white noise","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1904.07977","snapshot_observed_at":"2026-08-01T05:46:24.854529Z","title":"Chiodaroli and E","venue":null,"work_id":null,"year":1904},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":92,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:24.854529Z"},"links":{"cited_paper":"/paper/1904.07977","citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:8d59b7bd5667f9e132b3bb1bcd3bfae7dcccb9b44bb09b25ab99528e28a77af8","observation_id":"3eb01809-b7db-444f-8c25-666227041b0a","resolution":{"observed_at":"2026-08-01T05:46:24.854529Z","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":"2026-08-01T05:46:25.111927Z","title":"Gubinelli and E","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":93,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:25.111927Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:77598fbb7bae9f988fecc8205494ce0f9c315f9391abea6cbd7cea83389480ba","observation_id":"b23ffd87-b8f3-455a-8a86-681ec57e347e","resolution":{"observed_at":"2026-08-01T05:46:25.111927Z","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":"2026-08-01T05:46:25.314366Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":94,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:25.314366Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:590c7c5a3ec402ba5eb5028028aa418daf67929cda895fde8358f8650813df6c","observation_id":"d35b25c5-364b-4c23-ae1c-c5bc4c901dac","resolution":{"observed_at":"2026-08-01T05:46:25.314366Z","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":"2026-08-01T05:46:25.449544Z","title":"The Annals of Probability , month =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":95,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:25.449544Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:0445d6f9282ca9a91fac1cc5f03a23b1f1bcf4b4c1df4f96ac6c9c4647971630","observation_id":"3bbbc361-f063-4d0b-9851-3b78109f80ec","resolution":{"observed_at":"2026-08-01T05:46:25.449544Z","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":"2026-08-01T05:46:25.678386Z","title":"Stochastic Process","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":96,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:25.678386Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:33081e01dc9fa32ffa88f14606b3b7cbf300e37732abfe33e80f8bfaf338762d","observation_id":"f9a7df97-3482-477d-8d3b-0764ae925118","resolution":{"observed_at":"2026-08-01T05:46:25.678386Z","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":"2026-08-01T05:46:25.807139Z","title":"Probability Theory and Related Fields , month =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":97,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:25.807139Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:ece0e53e49d6d79ad584caa566d8456338ce575384b567627e27984bfc7304d5","observation_id":"e6f68110-0de1-458b-a4d9-5dc93303eaac","resolution":{"observed_at":"2026-08-01T05:46:25.807139Z","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":"2026-08-01T05:46:25.958764Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":98,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:25.958764Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:cb7bf5a990797bcb6c5b6f331ac16a7e78715ed823523d995b47830f7b84f8df","observation_id":"5542fca4-fe02-448a-9d62-38f5f453aa7c","resolution":{"observed_at":"2026-08-01T05:46:25.958764Z","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":"2026-08-01T05:46:26.092341Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":99,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:26.092341Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:93a2526385f3f78cd62f87d3f2900ef40ce571df4ccf64f4f0a6eb3d243450f2","observation_id":"eb0029f2-e449-43fb-9c68-e529d34784bf","resolution":{"observed_at":"2026-08-01T05:46:26.092341Z","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":"2026-08-01T05:46:26.203813Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations","version":1},"reference_index":100,"source":"arxiv_source","source_observed_at":"2026-08-01T05:46:26.203813Z"},"links":{"citing_paper":"/paper/2607.22146"},"observation_digest":"sha256:16caeb7f7320970c6b867d409001d394debb96e7cefdb00e317a36ab30504995","observation_id":"6cacfc94-eec7-45be-b3d6-2bf8e20a5b89","resolution":{"observed_at":"2026-08-01T05:46:26.203813Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.22146","last_updated":"2026-07-24T09:45:38Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-06T12:53:30.964375Z","submitted_at":"2026-07-24T09:45:38Z","title":"High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":98,"verified_exact":1,"verified_fuzzy":0},"total_outbound_references":137},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 100 of 137 outbound references and 0 inbound Pith citation observations for arXiv:2607.22146."}