{"as_of":"2026-08-23T06:07:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c8285e0cb26fb27488af86135108c9d3eabd17437e13b56daeff55f03d67625c","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T22:20:15.441937Z","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":"2026-05-12T10:31:29.287493Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.13109","last_updated":"2025-02-18T18:22:20Z","snapshot_observed_at":"2026-08-16T12:57:13.448754Z","submitted_at":"2025-02-18T18:22:20Z","title":"Hardy--Littlewood maximal operators on certain manifolds with bounded geometry","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.13109","snapshot_observed_at":"2026-08-15T22:20:15.441937Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.07682","last_updated":"2025-05-12T15:47:14Z","snapshot_observed_at":"2026-08-22T23:21:01.744724Z","submitted_at":"2025-05-12T15:47:14Z","title":"Hardy-Littlewood maximal operator on spaces of exponential volume growth","version":1},"reference_index":1991,"source":"pdf_text","source_observed_at":"2026-08-15T22:20:15.441937Z"},"links":{"cited_paper":"/paper/2502.13109","citing_paper":"/paper/2505.07682"},"observation_digest":"sha256:33d273862ddf14fa5b6f89cb875edd131a33d8ec591fe10da72c0420c952255f","observation_id":"34e4ab15-cacf-4ec6-80ab-843b74a6f6bc","resolution":{"observed_at":"2026-08-15T22:20:15.441937Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.13109","last_updated":"2025-02-18T18:22:20Z","snapshot_observed_at":"2026-08-16T12:57:13.448754Z","submitted_at":"2025-02-18T18:22:20Z","title":"Hardy--Littlewood maximal operators on certain manifolds with bounded geometry","version":1},"cited_work":{"arxiv_id":"2502.13109","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2502.13109","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"b80cdcdf-7c17-476c-b9de-e80b1953ef33","year":null},"citing_paper":{"arxiv_id":"2604.27839","last_updated":"2026-07-06T21:43:58Z","snapshot_observed_at":"2026-07-12T17:58:13.166865Z","submitted_at":"2026-04-30T13:23:57Z","title":"Uncentred maximal operators with respect to half balls on Damek--Ricci spaces","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-05-07T05:51:29.898531Z"},"links":{"cited_paper":"/paper/2502.13109","citing_paper":"/paper/2604.27839"},"observation_digest":"sha256:c2471095aea504a6e1b6034671466c85a9eeaec618fa9734221b09d8f7d96384","observation_id":"8576b5ca-d690-467e-8d9c-fd49af91cb28","resolution":{"observed_at":"2026-05-12T10:31:29.290182Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.13109","last_updated":"2025-02-18T18:22:20Z","snapshot_observed_at":"2026-08-16T12:57:13.448754Z","submitted_at":"2025-02-18T18:22:20Z","title":"Hardy--Littlewood maximal operators on certain manifolds with bounded geometry","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.13109","snapshot_observed_at":"2026-07-12T17:58:18.262742Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2604.27839","last_updated":"2026-07-06T21:43:58Z","snapshot_observed_at":"2026-07-12T17:58:13.166865Z","submitted_at":"2026-04-30T13:23:57Z","title":"Uncentred maximal operators with respect to half balls on Damek--Ricci spaces","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-07-12T17:58:18.262742Z"},"links":{"cited_paper":"/paper/2502.13109","citing_paper":"/paper/2604.27839"},"observation_digest":"sha256:1b4ab6f6768d635385924f4815a162d6a054cf3445880cb51b339baf798dc11e","observation_id":"467856d5-2090-48d3-80cf-ad8fc9624a80","resolution":{"observed_at":"2026-07-12T17:58:18.262742Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2502.13109/citation-record","integrity":"/paper/2502.13109/integrity","json":"/paper/2502.13109/citation-record.json","paper":"/paper/2502.13109"},"outbound":[],"paper":{"arxiv_id":"2502.13109","last_updated":"2025-02-18T18:22:20Z","latest_version":1,"primary_category":"math.FA","snapshot_observed_at":"2026-08-16T12:57:13.448754Z","submitted_at":"2025-02-18T18:22:20Z","title":"Hardy--Littlewood maximal operators on certain manifolds with bounded geometry"},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2502.13109."}