{"as_of":"2026-08-17T00:01:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4ce3aa4f056993f4ca20eba794dd44e391a954fe4c7310eae9cff73292587e2e","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":"2026-08-16T06:30:59.297886+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":"2026-08-15T15:43:03.679186Z","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":"2026-08-04T18:16:12.699793Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2607.06907","last_updated":"2026-08-13T12:46:15Z","snapshot_observed_at":"2026-08-16T23:12:10.961392Z","submitted_at":"2026-07-08T01:59:47Z","title":"Optimal rates of uniform convergence for weighted Birkhoff averages via almost all rotations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.06907","snapshot_observed_at":"2026-08-15T15:43:03.679186Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.21950","last_updated":"2026-07-24T03:53:25Z","snapshot_observed_at":"2026-08-15T15:26:48.204819Z","submitted_at":"2026-07-24T03:53:25Z","title":"Exponential convergence can happen in weighted Birkhoff averages via quasi-periodicity with arbitrary nonresonance and low regularity","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-15T15:43:03.679186Z"},"links":{"cited_paper":"/paper/2607.06907","citing_paper":"/paper/2607.21950"},"observation_digest":"sha256:95a8a05f2c688b226fc932b6ea719231b15f640f1d6d8045965572b2c4ea637c","observation_id":"e55e2677-1016-4961-b264-7305ea3536c5","resolution":{"observed_at":"2026-08-15T15:43:03.679186Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2607.06907","last_updated":"2026-08-13T12:46:15Z","snapshot_observed_at":"2026-08-16T23:12:10.961392Z","submitted_at":"2026-07-08T01:59:47Z","title":"Optimal rates of uniform convergence for weighted Birkhoff averages via almost all rotations","version":2},"cited_work":{"arxiv_id":"2607.06907","doi":"10.48550/arxiv.2607.06907","metadata_source":"pith","pith_arxiv_id":"2607.06907","snapshot_observed_at":"2026-08-04T18:16:12.699793Z","title":"Optimal rates of uniform convergence for weighted Birkhoff averages via almost all rotations","venue":"math.DS","work_id":"b7271927-86a3-49c9-89d0-598e6455b551","year":2026},"citing_paper":{"arxiv_id":"2608.02182","last_updated":"2026-08-03T13:05:58Z","snapshot_observed_at":"2026-08-15T13:31:41.583739Z","submitted_at":"2026-08-03T13:05:58Z","title":"Laskar's frequency map analysis revisited","version":1},"reference_index":71,"source":"arxiv_source","source_observed_at":"2026-08-04T12:52:58.988484Z"},"links":{"cited_paper":"/paper/2607.06907","citing_paper":"/paper/2608.02182"},"observation_digest":"sha256:f72191a69756746366e37fdf9d3f7676c987316ec47cdc07ca05eb96b89f52ce","observation_id":"fad2e417-3b48-49d5-bb09-d9347b68f9e3","resolution":{"observed_at":"2026-08-04T12:53:20.702736Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2607.06907/citation-record","integrity":"/paper/2607.06907/integrity","json":"/paper/2607.06907/citation-record.json","paper":"/paper/2607.06907"},"outbound":[],"paper":{"arxiv_id":"2607.06907","last_updated":"2026-08-13T12:46:15Z","latest_version":2,"primary_category":"math.DS","snapshot_observed_at":"2026-08-16T23:12:10.961392Z","submitted_at":"2026-07-08T01:59:47Z","title":"Optimal rates of uniform convergence for weighted Birkhoff averages via almost all rotations"},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2607.06907."}