{"as_of":"2026-08-14T12:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8304c882fdc26036684b9513dfb2335094ffe906c5dd15ee9d83e5685f5f646a","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":"2026-08-14T06:32:32.682623+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":"2026-08-12T14:57:43.196257Z","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":"2026-05-23T17:18:14.034545Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2403.08249","last_updated":"2024-03-13T05:04:05Z","snapshot_observed_at":"2026-08-13T17:44:36.995148Z","submitted_at":"2024-03-13T05:04:05Z","title":"Schatten--Lorentz characterization of Riesz transform commutator associated with Bessel operators","version":1},"cited_work":{"arxiv_id":"2403.08249","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2403.08249","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"9a9ad62f-c029-424b-aa1b-2fedfea230b7","year":2024},"citing_paper":{"arxiv_id":"2411.02613","last_updated":"2026-05-07T12:33:26Z","snapshot_observed_at":"2026-07-06T19:45:13.078526Z","submitted_at":"2024-11-04T21:06:42Z","title":"Schatten properties of commutators on metric spaces","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-23T17:17:33.957928Z"},"links":{"cited_paper":"/paper/2403.08249","citing_paper":"/paper/2411.02613"},"observation_digest":"sha256:db7260d55b5b6c6415a2fe6471b026bd35126066a6176cf554119f38687ca4bd","observation_id":"bc5d7294-7ef4-4609-a4af-b7fa6c4f6c27","resolution":{"observed_at":"2026-05-23T17:18:14.037458Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.08249","last_updated":"2024-03-13T05:04:05Z","snapshot_observed_at":"2026-08-13T17:44:36.995148Z","submitted_at":"2024-03-13T05:04:05Z","title":"Schatten--Lorentz characterization of Riesz transform commutator associated with Bessel operators","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.08249","snapshot_observed_at":"2026-08-12T14:57:43.196257Z","title":"Fan, M.T","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.14928","last_updated":"2024-11-22T13:36:19Z","snapshot_observed_at":"2026-08-13T22:23:13.385666Z","submitted_at":"2024-11-22T13:36:19Z","title":"Spectral asymptotic formula of Bessel--Riesz commutator","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T14:57:43.196257Z"},"links":{"cited_paper":"/paper/2403.08249","citing_paper":"/paper/2411.14928"},"observation_digest":"sha256:100418c2d1dd62041c68ca3a103efa7fb39e6afc81e5b0541d14f7a138c1b868","observation_id":"2652070f-f304-45d4-8053-7c82317c445b","resolution":{"observed_at":"2026-08-12T14:57:43.196257Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2403.08249/citation-record","integrity":"/paper/2403.08249/integrity","json":"/paper/2403.08249/citation-record.json","paper":"/paper/2403.08249"},"outbound":[],"paper":{"arxiv_id":"2403.08249","last_updated":"2024-03-13T05:04:05Z","latest_version":1,"primary_category":"math.FA","snapshot_observed_at":"2026-08-13T17:44:36.995148Z","submitted_at":"2024-03-13T05:04:05Z","title":"Schatten--Lorentz characterization of Riesz transform commutator associated with Bessel operators"},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2403.08249."}