{"as_of":"2026-08-06T18:50:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3cb1ec64c98013e09748f08d3d35f98f1444ee816b55b2b2523a79491fd04f4d","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":"2026-08-06T06:34:29.942622+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":"2026-05-21T23:58:17.544196Z","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":"2026-05-22T00:00:47.829710Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2405.18562","last_updated":"2025-03-18T19:13:30Z","snapshot_observed_at":"2026-07-06T18:21:35.476139Z","submitted_at":"2024-05-28T20:13:44Z","title":"Covariance Operator Estimation via Adaptive Thresholding","version":2},"cited_work":{"arxiv_id":"2405.18562","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2405.18562","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Al-Ghattas and D","venue":null,"work_id":"bcd8a46e-158d-4486-bfe2-f71414bb72bd","year":2024},"citing_paper":{"arxiv_id":"2506.12201","last_updated":"2026-05-18T13:16:13Z","snapshot_observed_at":"2026-08-02T17:29:01.747988Z","submitted_at":"2025-06-13T20:07:29Z","title":"Functional Multi-Reference Alignment via Deconvolution","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-21T23:58:17.544196Z"},"links":{"cited_paper":"/paper/2405.18562","citing_paper":"/paper/2506.12201"},"observation_digest":"sha256:7af58b06a66e2f4ef0144688dc585cc5ec2205071320482f2d078661e7e4866e","observation_id":"75598ae2-d8e2-4fc0-ae38-522bfba897c7","resolution":{"observed_at":"2026-05-22T00:00:47.831257Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.18562","last_updated":"2025-03-18T19:13:30Z","snapshot_observed_at":"2026-07-06T18:21:35.476139Z","submitted_at":"2024-05-28T20:13:44Z","title":"Covariance Operator Estimation via Adaptive Thresholding","version":2},"cited_work":{"arxiv_id":"2405.18562","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2405.18562","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Al-Ghattas and D","venue":null,"work_id":"bcd8a46e-158d-4486-bfe2-f71414bb72bd","year":2024},"citing_paper":{"arxiv_id":"2604.18229","last_updated":"2026-04-20T13:12:23Z","snapshot_observed_at":"2026-07-06T23:05:08.728446Z","submitted_at":"2026-04-20T13:12:23Z","title":"Inference for Functional Data under Markov Constraints","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-10T04:07:57.932559Z"},"links":{"cited_paper":"/paper/2405.18562","citing_paper":"/paper/2604.18229"},"observation_digest":"sha256:de7272802505c7dfe7718197c019fbd933faf38ae91f2d0f75043829b7bf3efc","observation_id":"fee1d62c-660c-4dc3-bbff-d4ed76d77171","resolution":{"observed_at":"2026-05-11T12:11:04.427049Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2405.18562/citation-record","integrity":"/paper/2405.18562/integrity","json":"/paper/2405.18562/citation-record.json","paper":"/paper/2405.18562"},"outbound":[],"paper":{"arxiv_id":"2405.18562","last_updated":"2025-03-18T19:13:30Z","latest_version":2,"primary_category":"math.ST","snapshot_observed_at":"2026-07-06T18:21:35.476139Z","submitted_at":"2024-05-28T20:13:44Z","title":"Covariance Operator Estimation via Adaptive Thresholding"},"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":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"thesis":"As of 6 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2405.18562."}