{"as_of":"2026-08-12T07:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2634e4c4458175592b4d0bcf045f02db07d8e6629a9ba0a5534845fc8140e175","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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":"2026-08-01T12:04:33.001673Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-04T04:59:36.762199Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2201.05306","last_updated":"2022-04-29T00:07:02Z","snapshot_observed_at":"2026-08-11T19:56:05.094717Z","submitted_at":"2022-01-14T05:15:07Z","title":"Maximal $L_p$-$L_q$ regularity for the Stokes equations with various boundary conditions in the half space","version":2},"cited_work":{"arxiv_id":"2201.05306","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2201.05306","snapshot_observed_at":"2026-07-04T04:59:36.762199Z","title":"Kajiwara, Maximal Lp Lq regularity for the Stokes equations with various boundary conditions in the half space, arXiv: 2201.05306","venue":null,"work_id":"6e8aa2b6-4d29-41bd-99b9-502817f69d7a","year":null},"citing_paper":{"arxiv_id":"2606.19912","last_updated":"2026-06-18T08:07:58Z","snapshot_observed_at":"2026-08-08T05:06:57.913990Z","submitted_at":"2026-06-18T08:07:58Z","title":"Structure-Oriented Randomized Neural Networks for Poisson-Nernst-Planck and Poisson-Nernst-Planck-Navier-Stokes Systems","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-06-26T16:29:23.459367Z"},"links":{"cited_paper":"/paper/2201.05306","citing_paper":"/paper/2606.19912"},"observation_digest":"sha256:955015ae6afe95af0a45681572a3190cfa28bff3ac4c1ab2195d0ed7f301c69f","observation_id":"4de2f636-95e7-4dab-a8d6-cac6c65f8610","resolution":{"observed_at":"2026-07-04T04:59:36.764686Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2201.05306","last_updated":"2022-04-29T00:07:02Z","snapshot_observed_at":"2026-08-11T19:56:05.094717Z","submitted_at":"2022-01-14T05:15:07Z","title":"Maximal $L_p$-$L_q$ regularity for the Stokes equations with various boundary conditions in the half space","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.05306","snapshot_observed_at":"2026-08-01T12:04:33.001673Z","title":"Kajiwara,MaximalL p-Lq regularity for the Stokes equations with various boundary condi- tions in the half space, arXiv preprint arXiv:2201.05306 (2022)","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.19736","last_updated":"2026-08-11T08:47:01Z","snapshot_observed_at":"2026-08-12T07:21:45.669283Z","submitted_at":"2026-07-22T04:05:46Z","title":"Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-01T12:04:33.001673Z"},"links":{"cited_paper":"/paper/2201.05306","citing_paper":"/paper/2607.19736"},"observation_digest":"sha256:b227cf9103e99e67ba81fa986862e21e6193414b6510dc47fc3de8b1060ea769","observation_id":"e74c5eb0-c22f-4928-b86e-1d850ba00893","resolution":{"observed_at":"2026-08-01T12:04:33.001673Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2201.05306/citation-record","integrity":"/paper/2201.05306/integrity","json":"/paper/2201.05306/citation-record.json","paper":"/paper/2201.05306"},"outbound":[],"paper":{"arxiv_id":"2201.05306","last_updated":"2022-04-29T00:07:02Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-08-11T19:56:05.094717Z","submitted_at":"2022-01-14T05:15:07Z","title":"Maximal $L_p$-$L_q$ regularity for the Stokes equations with various boundary conditions in the half space"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2201.05306."}