{"as_of":"2026-08-22T07:50:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7ea8a7dc9bf13975b0c07e7894ded90acbe8887825d2ff328ae3cfec82286f5a","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":"2026-08-22T06:32:14.747728+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":"2026-08-15T16:22:26.733018Z","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":"2026-08-07T11:06:44.035763Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1909.04429","last_updated":"2019-09-10T12:12:05Z","snapshot_observed_at":"2026-08-21T20:17:03.912822Z","submitted_at":"2019-09-10T12:12:05Z","title":"Critical almost Mathieu operator: hidden singularity, gap continuity, and the Hausdorff dimension of the spectrum","version":1},"cited_work":{"arxiv_id":"1909.04429","doi":null,"metadata_source":"pith","pith_arxiv_id":"1909.04429","snapshot_observed_at":"2026-08-07T11:06:44.035763Z","title":"Critical almost Mathieu operator: hidden singularity, gap continuity, and the Hausdorff dimension of the spectrum","venue":"math.SP","work_id":"3bafb722-50d3-42ff-82a1-95d67dd7ac7e","year":2019},"citing_paper":{"arxiv_id":"2506.03577","last_updated":"2025-06-04T04:53:00Z","snapshot_observed_at":"2026-08-15T10:24:24.484872Z","submitted_at":"2025-06-04T04:53:00Z","title":"Cantor spectrum for multidimensional quasi-periodic Schr\\\"odinger operators","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T11:06:42.562747Z"},"links":{"cited_paper":"/paper/1909.04429","citing_paper":"/paper/2506.03577"},"observation_digest":"sha256:e07c707dfea87731b70510d25e6093a2971d3055697b3ca09bfa93b37030424d","observation_id":"e9324c78-6f48-4d8b-8d07-4b3e9d4f65ee","resolution":{"observed_at":"2026-08-07T11:06:44.087197Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1909.04429","last_updated":"2019-09-10T12:12:05Z","snapshot_observed_at":"2026-08-21T20:17:03.912822Z","submitted_at":"2019-09-10T12:12:05Z","title":"Critical almost Mathieu operator: hidden singularity, gap continuity, and the Hausdorff dimension of the spectrum","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1909.04429","snapshot_observed_at":"2026-08-15T16:22:26.733018Z","title":"Jitomirskaya and I","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.09945","last_updated":"2025-09-12T03:28:31Z","snapshot_observed_at":"2026-08-15T15:55:23.957844Z","submitted_at":"2025-09-12T03:28:31Z","title":"Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-15T16:22:26.733018Z"},"links":{"cited_paper":"/paper/1909.04429","citing_paper":"/paper/2509.09945"},"observation_digest":"sha256:fd6ce5260f296d250e6173c4a7259b3b6c514ba825b80357b7a1d2d4226a0c69","observation_id":"8b5e1ae0-1d8f-408a-aead-a17791035af4","resolution":{"observed_at":"2026-08-15T16:22:26.733018Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1909.04429/citation-record","integrity":"/paper/1909.04429/integrity","json":"/paper/1909.04429/citation-record.json","paper":"/paper/1909.04429"},"outbound":[],"paper":{"arxiv_id":"1909.04429","last_updated":"2019-09-10T12:12:05Z","latest_version":1,"primary_category":"math.SP","snapshot_observed_at":"2026-08-21T20:17:03.912822Z","submitted_at":"2019-09-10T12:12:05Z","title":"Critical almost Mathieu operator: hidden singularity, gap continuity, and the Hausdorff dimension of the spectrum"},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1909.04429."}