{"as_of":"2026-08-21T03:52:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1e3fddf3089d48da5eb8b617ef0a4abdd3f85eb7cc6bc4f40d54a0f69e02ca7b","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":"2026-08-20T06:33:59.587034+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":"2026-08-15T20:00:56.127604Z","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":"2026-08-15T20:00:56.495567Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2310.03540","last_updated":"2023-10-11T14:32:23Z","snapshot_observed_at":"2026-08-20T15:39:53.174436Z","submitted_at":"2023-10-05T13:47:56Z","title":"Variation operators associated with semigroups generated by Hardy operators involving fractional Laplacians in a half space","version":2},"cited_work":{"arxiv_id":"2310.03540","doi":null,"metadata_source":"pith","pith_arxiv_id":"2310.03540","snapshot_observed_at":"2026-08-15T20:00:56.495567Z","title":"Variation operators associated with semigroups generated by Hardy operators involving fractional Laplacians in a half space","venue":"math.AP","work_id":"c355eb97-ccc6-4c25-9a61-9b9b98cce6f1","year":2023},"citing_paper":{"arxiv_id":"2506.14631","last_updated":"2025-06-17T15:26:04Z","snapshot_observed_at":"2026-08-19T00:40:58.955949Z","submitted_at":"2025-06-17T15:26:04Z","title":"Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-15T20:00:56.127604Z"},"links":{"cited_paper":"/paper/2310.03540","citing_paper":"/paper/2506.14631"},"observation_digest":"sha256:69f9682f72b8c2b5e4b0f286a025a7551623ec519ac1a8f35416992cc5e4fc47","observation_id":"dba1e51c-ede0-4bd9-b0ba-3d58ccaff900","resolution":{"observed_at":"2026-08-15T20:00:56.500995Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2310.03540/citation-record","integrity":"/paper/2310.03540/integrity","json":"/paper/2310.03540/citation-record.json","paper":"/paper/2310.03540"},"outbound":[],"paper":{"arxiv_id":"2310.03540","last_updated":"2023-10-11T14:32:23Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-08-20T15:39:53.174436Z","submitted_at":"2023-10-05T13:47:56Z","title":"Variation operators associated with semigroups generated by Hardy operators involving fractional Laplacians in a half space"},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2310.03540."}