{"as_of":"2026-08-21T18:15:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:464fc2bbace32c10919003b55e977bc685ff5c8d66f052f47209c555a211b9a0","coverage":[{"denominator":32,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":32,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T15:34:29.031549Z","state":"measured"},{"denominator":34,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":34,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T11:10:41.556157Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-10T18:55:40.513642Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.11005","snapshot_observed_at":"2026-08-16T11:10:41.556157Z","title":"and Xu X","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2504.16401","last_updated":"2025-04-23T04:09:55Z","snapshot_observed_at":"2026-08-19T12:44:19.672775Z","submitted_at":"2025-04-23T04:09:55Z","title":"Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-16T11:10:41.556157Z"},"links":{"cited_paper":"/paper/2412.11005","citing_paper":"/paper/2504.16401"},"observation_digest":"sha256:fadcdbd804c6d199cd041b70885e57ca5bd898a5a8cddf7a474eb8556ad67356","observation_id":"bd6b73e3-b4c2-4538-8a97-9956f69e5fe0","resolution":{"observed_at":"2026-08-16T11:10:41.556157Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"cited_work":{"arxiv_id":"2412.11005","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.11005","snapshot_observed_at":"2026-08-10T18:55:40.513642Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","venue":"math.AP","work_id":"b32ff144-cad2-4895-801b-6bd5f7efa780","year":2024},"citing_paper":{"arxiv_id":"2608.06899","last_updated":"2026-08-07T07:33:57Z","snapshot_observed_at":"2026-08-19T04:14:13.314811Z","submitted_at":"2026-08-07T07:33:57Z","title":"Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\\beta$-Plane","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T18:55:40.172474Z"},"links":{"cited_paper":"/paper/2412.11005","citing_paper":"/paper/2608.06899"},"observation_digest":"sha256:3771db35e80afb90598d725c9869a3310d48c4b17ee9d15485509fea7dc2431f","observation_id":"d3fb0369-4a8d-4dc2-a069-4d9ea7ca42ba","resolution":{"observed_at":"2026-08-10T18:55:40.520719Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.11005/citation-record","integrity":"/paper/2412.11005/integrity","json":"/paper/2412.11005/citation-record.json","paper":"/paper/2412.11005"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.498994Z","title":"Bedrossian, P","venue":null,"work_id":"be074a41-bce9-48f4-a10b-17270d78fb3c","year":2017},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:28.887955Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:bcd6be0593dc5e71944b61a5f510b195f0aa97dbdd1bf1ba985d49d5cae3fcc7","observation_id":"92ce8fe7-c0c1-4888-9462-27459e468332","resolution":{"observed_at":"2026-08-11T15:34:29.503401Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.486200Z","title":"Bedrossian, P","venue":null,"work_id":"bb78f7e3-39cd-46b1-855e-d9ff8fec0fbe","year":2022},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:28.893787Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:18c00e5e4becd4d3ff29af59446b604b89486586ef047675181f6d9652d5a55b","observation_id":"eaf4df53-75a6-4ea4-ba29-ce8632616a85","resolution":{"observed_at":"2026-08-11T15:34:29.490114Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.472675Z","title":"Bedrossian, P","venue":null,"work_id":"0b867845-07a6-4256-a288-930d61f9eed2","year":2020},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:28.898528Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:3fc29b46214ed9fe5cda2254cdee3ee16e505ae740b54a886104cc14dcd17cde","observation_id":"a213702a-f770-4d79-864c-5e6ec3165c28","resolution":{"observed_at":"2026-08-11T15:34:29.477145Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.458889Z","title":"Bedrossian, P","venue":null,"work_id":"b45850fb-1744-40a2-a41e-d4462955688d","year":2019},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:28.903628Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:36b7fb03b7caf6ae2f4b6c63f482a423ca0c267fa692e32c250fb15f4d68d545","observation_id":"cf0b71ef-fe8e-4965-ab08-b742683d7910","resolution":{"observed_at":"2026-08-11T15:34:29.463265Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.444306Z","title":"Bedrossian, S","venue":null,"work_id":"40bfbf92-e893-4875-9f3e-45b8731ce8eb","year":2024},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:28.908667Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:13abd2ddf41a687d23365ee818743f87647efacc5140f6ee1f291dc93b2fa043","observation_id":"00eb7807-706b-4855-ad99-f5d731ef95a5","resolution":{"observed_at":"2026-08-11T15:34:29.449043Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.00141","last_updated":"2023-10-31T20:26:56Z","snapshot_observed_at":"2026-08-16T14:47:03.355148Z","submitted_at":"2023-10-31T20:26:56Z","title":"Stability threshold of nearly-Couette shear flows with Navier boundary conditions in 2D","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.00141","snapshot_observed_at":"2026-08-11T15:34:28.914852Z","title":"Bedrossian, S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:28.914852Z"},"links":{"cited_paper":"/paper/2311.00141","citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:c60d1aa50e38c495a574575e6f8e9593dbd19b142f8958d159878e50f814cfc9","observation_id":"da1d129c-6097-4903-8aaa-0cd42de53bc1","resolution":{"observed_at":"2026-08-11T15:34:28.914852Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.430492Z","title":"Bedrossian, N","venue":null,"work_id":"d4033d28-3e65-4a93-ba21-78c255d7b6be","year":2016},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:28.920159Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:e1f7e0030a270132279c0260deeba4e04e7106eb1862f161c92240f924477031","observation_id":"8b2cb0e5-9556-42b6-bdde-35877a45ecf9","resolution":{"observed_at":"2026-08-11T15:34:29.434760Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.417143Z","title":"Bedrossian, V","venue":null,"work_id":"0e1037c2-2d13-4612-a8bc-f1a02c7a014b","year":2018},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:28.924476Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:6d6bd5eba5f508a335d308683501cf790a4e11c1c81928739a9542458717876e","observation_id":"5ef7a9ea-868c-4b34-9f27-5ac8cb257ad2","resolution":{"observed_at":"2026-08-11T15:34:29.421071Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.403911Z","title":"Bahouri, J.-Y","venue":null,"work_id":"e4fda192-7d8b-448f-8154-9f741fe235a3","year":2011},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:28.928593Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:6caf8fc723b0ede490469e3c7718deae5deee2e3621c5b24156c77404bf541d2","observation_id":"1faaac23-365c-4800-9917-5f9f9a33a885","resolution":{"observed_at":"2026-08-11T15:34:29.407861Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.389722Z","title":null,"venue":null,"work_id":"31c02079-9706-4c96-b6eb-3b9f0bc34cf9","year":2002},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:28.932466Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:3f4f769871f488029f183fd8573b9b0975f3cfc3045758c58c927fd0ff539bf8","observation_id":"0f40a939-e5c4-42f0-a6f6-36b732b02200","resolution":{"observed_at":"2026-08-11T15:34:29.394388Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.375887Z","title":null,"venue":null,"work_id":"9093486f-941c-4c10-a4a6-95ad152d0da1","year":2020},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:28.936245Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:d10f89f33856169b385327209b6cab4b82208f520ae6789c784cfbe3c5a63c2e","observation_id":"2c2cb977-4d83-4c4d-80c7-9b854f68bd0a","resolution":{"observed_at":"2026-08-11T15:34:29.380362Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.361103Z","title":null,"venue":null,"work_id":"63450ef6-6143-4124-b23e-8af05f639347","year":2023},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:28.940804Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:37939f08fc0a745aebcd899cd5a7d1f15884ca4e18a9ca692553f5d3ed28aca8","observation_id":"8dc94736-62da-4970-97d2-2a45b831287f","resolution":{"observed_at":"2026-08-11T15:34:29.366228Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.347740Z","title":null,"venue":null,"work_id":"81fce08d-db97-43f1-9049-fc382135270a","year":2024},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:28.944882Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:33c471f4b61ed073203671fffd4c411aa9ead1e7763585b5c5bd9a7033affe02","observation_id":"150372ff-f17d-4db8-87f7-92eaadc1cea2","resolution":{"observed_at":"2026-08-11T15:34:29.351886Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.335696Z","title":null,"venue":null,"work_id":"4fbab352-3976-4e29-824e-4fe79b131f35","year":2021},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:28.949550Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:0de3593f0df33318760bffe61cdbecc9abb327fc12d5597fba99966a24930837","observation_id":"8eccb106-434b-4ff1-9f5f-257e83b8324d","resolution":{"observed_at":"2026-08-11T15:34:29.339417Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.321839Z","title":"Drazin, Introduction to hydrodynamic stability","venue":null,"work_id":"ea16c4bc-0cfc-4949-950a-abf36d4f6b5e","year":2002},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:28.954856Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:fb4762d6ac2b8ae4eae615fba2b2ed61448bad542725ebc19c74181591a55a1f","observation_id":"619e67fd-8252-4073-b028-ddd70056ed84","resolution":{"observed_at":"2026-08-11T15:34:29.326457Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.307484Z","title":"Duguet, L","venue":null,"work_id":"e5e8df1e-fbec-41c3-9225-e61b0048bf03","year":2010},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:28.959171Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:d4cbc7d01716d983783f5cfe1e819317384d4ec3218ad1a17c2f46b6cffbe5f9","observation_id":"54c1e633-74cb-4e8e-877f-ce66b80f0dfe","resolution":{"observed_at":"2026-08-11T15:34:29.311959Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.293263Z","title":"Ellingsen, E","venue":null,"work_id":"ce6ad60e-602f-4073-8deb-3067c56448cc","year":1975},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:28.964662Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:925041d79880d739a47dc28e68585abab81fe7183a1e6c602b2c68ff714cc8c6","observation_id":"6ffafc43-dcae-4eb0-8126-44b8c877e3c2","resolution":{"observed_at":"2026-08-11T15:34:29.297839Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.05104","last_updated":"2024-09-27T10:17:45Z","snapshot_observed_at":"2026-08-17T02:07:10.052220Z","submitted_at":"2024-09-08T14:17:31Z","title":"On the Sobolev stability threshold for 3D Navier-Stokes equations with rotation near the Couette flow","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.05104","snapshot_observed_at":"2026-08-11T15:34:28.968767Z","title":"Huang, Y","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:28.968767Z"},"links":{"cited_paper":"/paper/2409.05104","citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:70de83d88955682872b742372fe22b70642ef4b9bc8df8c0fb561a231e4317ab","observation_id":"007a71ed-a176-48f6-bc20-3abd115f88e1","resolution":{"observed_at":"2026-08-11T15:34:28.968767Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.279356Z","title":null,"venue":null,"work_id":"381692b4-e747-4286-85e2-f1a706f332d6","year":1997},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:28.973353Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:09c63825a7bc825705bc0735b4ae08864878a4a83442ce0422edf16501a5cd2a","observation_id":"6cbc5588-a6c0-43ad-b8c8-524daddb4f55","resolution":{"observed_at":"2026-08-11T15:34:29.284120Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.265975Z","title":"Liss, On the Sobolev stability threshold of 3D Couette flow in a u niform magnetic field","venue":null,"work_id":"0755ef55-fd0b-45fe-81d2-2a32a7d284e8","year":2020},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:28.977596Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:872bd138473efebf7e51c6f6d39cbbb3d26f54ac41fda3f3bb809c4cafc0edf7","observation_id":"e74357ea-c36e-4b10-bf61-897b9d637a5c","resolution":{"observed_at":"2026-08-11T15:34:29.270716Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.251663Z","title":"Lundbladh, D","venue":null,"work_id":"23c27884-d674-4339-ae8b-23d517eedf0b","year":1994},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:28.981536Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:28eede873383177cb8a14ba01f6625180f5e0e233cc805698031b432c8ff5d1e","observation_id":"27e48314-3101-4f6f-b254-18a25b63e172","resolution":{"observed_at":"2026-08-11T15:34:29.256173Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.237657Z","title":"Masmoudi, W","venue":null,"work_id":"ac0627be-5b38-4ac3-ad1e-30ce907cd8f5","year":2020},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:28.985821Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:80c40cb5f2ea5314d45c90e9ae368a242587d9f8551e46dcabde4a1f3cefd75d","observation_id":"2463df73-5978-4f1a-8683-481f0be1eab2","resolution":{"observed_at":"2026-08-11T15:34:29.242100Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.224492Z","title":"Masmoudi, S","venue":null,"work_id":"7ddf6923-105f-4c1b-84f3-149974dcfaa1","year":2022},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:28.990287Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:4b1bc3cd72edb1e1b6bbeb200a9c69219f02abbcc1cd9b85b3638a174ecf8343","observation_id":"48193d95-ac12-464a-b199-e0e04c803c12","resolution":{"observed_at":"2026-08-11T15:34:29.228722Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.211087Z","title":null,"venue":null,"work_id":"3c6bc2f0-b558-4c0f-b028-3daa10e6ea3c","year":2002},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:28.994784Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:3535fd26207be184d8617f7ccc4e26bf7edc8bee64d46d7736ceb4ea3cf04933","observation_id":"19dd30f8-c758-42c8-9322-25228a7b57dc","resolution":{"observed_at":"2026-08-11T15:34:29.215211Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.195999Z","title":"Oxley, R","venue":null,"work_id":"c9183ed8-79ca-490a-a89a-f19c17a8751b","year":2024},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:29.000056Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:d3dc2b24ec70eb37bbbf8407c37142028e2cc4f5f6e9b163d5d91366755457ce","observation_id":"6ce417bd-b9ae-4ea3-8e48-4a105bea09ec","resolution":{"observed_at":"2026-08-11T15:34:29.200449Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.181016Z","title":null,"venue":null,"work_id":"12efd26b-ed08-4e82-a802-b893f57acdc4","year":1998},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:29.005213Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:89a14f4ec29892844e7d1a333e7c00bf82c381272570b5029573a4c661478a1d","observation_id":"eee8fd44-20e9-4466-8189-5b1aa97f7e36","resolution":{"observed_at":"2026-08-11T15:34:29.185934Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.166650Z","title":"Tillmark, P","venue":null,"work_id":"154657d5-67ec-45b6-8d12-ea1825a72eab","year":1996},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:29.010283Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:be52e1f4bd5d3cb66805418231fe8952366f9f5a7752ce7dbc8becbb18aa2ab3","observation_id":"59cd09f4-34dc-4138-a5ad-4c2f86931391","resolution":{"observed_at":"2026-08-11T15:34:29.171408Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.152972Z","title":"Tsukahara, N","venue":null,"work_id":"f5bf9a08-765b-4e0c-8563-fbcae1600122","year":2010},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:29.014915Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:4510933264d65387e1c8bb842d92a7bda5cee083970d2144d5bd0dad19e94d1b","observation_id":"6fc02fef-71ee-43e6-ad6d-8481d2fc69d5","resolution":{"observed_at":"2026-08-11T15:34:29.156937Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.137859Z","title":null,"venue":null,"work_id":"83101696-10e4-4a7f-8acd-55ebf5281b79","year":2012},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:29.018720Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:9787b65076f12f45e97fd5cda656da24a9e1b95227bb3680f16508ca9270f53a","observation_id":"b24f8b61-9cde-4328-be6a-90286aadaafd","resolution":{"observed_at":"2026-08-11T15:34:29.142377Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.122627Z","title":null,"venue":null,"work_id":"18e17c26-b823-4a1d-ae01-f569d60ec5de","year":2021},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:29.022754Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:693309b31678cf13ea28feddba3d7204dd5600ef72b564db28f9af00165072f9","observation_id":"79cce465-cfac-43c9-84a5-d92b129780cf","resolution":{"observed_at":"2026-08-11T15:34:29.127653Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.107936Z","title":null,"venue":null,"work_id":"d6f78e1e-50af-4e8a-bd44-75580e5c6338","year":2023},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:29.027059Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:97e002b6622cce4ec444076c8eb9918ce6baca758ede20405aa4525287b2727a","observation_id":"271264e4-0a10-4539-b4e8-aa1295b9d789","resolution":{"observed_at":"2026-08-11T15:34:29.112004Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:34:29.092275Z","title":null,"venue":null,"work_id":"241b6b5f-daa2-47d1-80a0-a06bae19a3e4","year":2024},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:29.031549Z"},"links":{"citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:0eda3ba46bc6a090c1a73fc7daf3a036ebbe035b83ecec37ed9f45856609b902","observation_id":"b489eb05-532a-4777-9ad7-c1523456bdce","resolution":{"observed_at":"2026-08-11T15:34:29.098269Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-18T07:07:30.423861Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation"},"reference_resolution":{"displayed":32,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":14,"verified_exact":0,"verified_fuzzy":18},"total_outbound_references":32},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 2 inbound Pith citation observations for arXiv:2412.11005."}