{"as_of":"2026-08-13T10:01:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f76c5b6bca7bebfeb0eddc3e299bd35ee512d0bd07801ef942e483ba9ae5349b","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":"2026-08-13T06:32:02.005865+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":"2026-08-12T14:47:39.550926Z","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":"2026-08-12T14:46:47.713109Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2311.08058","last_updated":"2025-05-09T13:42:23Z","snapshot_observed_at":"2026-08-13T05:25:44.152699Z","submitted_at":"2023-11-14T10:31:32Z","title":"On the closability of differential operators","version":2},"cited_work":{"arxiv_id":"2311.08058","doi":null,"metadata_source":"pith","pith_arxiv_id":"2311.08058","snapshot_observed_at":"2026-08-12T14:46:47.713109Z","title":"On the closability of differential operators","venue":"math.CA","work_id":"d82ce61a-0a89-4516-b935-06c07830c1b9","year":2023},"citing_paper":{"arxiv_id":"2411.15012","last_updated":"2024-11-22T15:38:03Z","snapshot_observed_at":"2026-08-12T14:34:44.794620Z","submitted_at":"2024-11-22T15:38:03Z","title":"A refined Lusin type theorem for gradients","version":1},"reference_index":119,"source":"pdf_text","source_observed_at":"2026-08-12T14:46:47.650841Z"},"links":{"cited_paper":"/paper/2311.08058","citing_paper":"/paper/2411.15012"},"observation_digest":"sha256:f2ddbbbd9fbf6fc567c510bbcf92201de65309ecd7602c3a2cd2a416eacda392","observation_id":"7539075e-2ee9-4fb1-a2ee-9e0b4d781ff7","resolution":{"observed_at":"2026-08-12T14:46:47.717632Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.08058","last_updated":"2025-05-09T13:42:23Z","snapshot_observed_at":"2026-08-13T05:25:44.152699Z","submitted_at":"2023-11-14T10:31:32Z","title":"On the closability of differential operators","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.08058","snapshot_observed_at":"2026-08-12T14:47:39.550926Z","title":"On the closability of differential operators","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2411.15019","last_updated":"2024-11-22T15:47:58Z","snapshot_observed_at":"2026-08-12T14:34:09.338926Z","submitted_at":"2024-11-22T15:47:58Z","title":"A simple proof of the $1$-dimensional flat chain conjecture","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T14:47:39.550926Z"},"links":{"cited_paper":"/paper/2311.08058","citing_paper":"/paper/2411.15019"},"observation_digest":"sha256:a1b3159db60834d78c9d000a2a1ba9c52a74a8aa6dc9db411fa21bd78640ef1c","observation_id":"78c2ca16-98a9-419e-bf6c-35036d012d01","resolution":{"observed_at":"2026-08-12T14:47:39.550926Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2311.08058/citation-record","integrity":"/paper/2311.08058/integrity","json":"/paper/2311.08058/citation-record.json","paper":"/paper/2311.08058"},"outbound":[],"paper":{"arxiv_id":"2311.08058","last_updated":"2025-05-09T13:42:23Z","latest_version":2,"primary_category":"math.CA","snapshot_observed_at":"2026-08-13T05:25:44.152699Z","submitted_at":"2023-11-14T10:31:32Z","title":"On the closability of differential 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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2311.08058."}