{"as_of":"2026-08-08T06:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2861f2c43b38d07e238e3592396d914d1c065c3e9d89b30036fdec82580a8b77","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":1,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":1,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T13:40:17.636910Z","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":"2026-08-07T13:40:18.986720Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.11367","last_updated":"2025-01-28T12:40:04Z","snapshot_observed_at":"2026-07-06T20:23:18.251842Z","submitted_at":"2025-01-20T09:56:13Z","title":"Spectrality of a measure consisting of two line segments","version":2},"cited_work":{"arxiv_id":"2501.11367","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.11367","snapshot_observed_at":"2026-08-07T13:40:18.986720Z","title":"Spectrality of a measure consisting of two line segments","venue":"math.CA","work_id":"0cd70fe3-e4be-4b80-be54-341ee80c3656","year":2025},"citing_paper":{"arxiv_id":"2505.22136","last_updated":"2025-05-28T09:00:01Z","snapshot_observed_at":"2026-08-07T13:12:11.377495Z","submitted_at":"2025-05-28T09:00:01Z","title":"Frame bound, spectral gap and Plus space","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T13:40:17.636910Z"},"links":{"cited_paper":"/paper/2501.11367","citing_paper":"/paper/2505.22136"},"observation_digest":"sha256:e1edd057edecc9a1f977a452135634bdf1c1e11b1891d3c586063d9a5c93afee","observation_id":"77a11f76-ebf7-4b9a-8dc8-922c65775f66","resolution":{"observed_at":"2026-08-07T13:40:19.068093Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2501.11367/citation-record","integrity":"/paper/2501.11367/integrity","json":"/paper/2501.11367/citation-record.json","paper":"/paper/2501.11367"},"outbound":[],"paper":{"arxiv_id":"2501.11367","last_updated":"2025-01-28T12:40:04Z","latest_version":2,"primary_category":"math.CA","snapshot_observed_at":"2026-07-06T20:23:18.251842Z","submitted_at":"2025-01-20T09:56:13Z","title":"Spectrality of a measure consisting of two line segments"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2501.11367."}