{"as_of":"2026-08-16T17:13:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:eee0e94e11a8091cb00953125604384f7e1ca1cc646c725a3899b952c65cb9fa","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":"2026-08-16T06:30:59.297886+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":"2026-08-14T12:42:53.113783Z","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":"2026-08-14T12:42:53.162193Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1606.08082","last_updated":"2016-06-26T20:25:35Z","snapshot_observed_at":"2026-08-14T21:51:06.347501Z","submitted_at":"2016-06-26T20:25:35Z","title":"Besov spaces via hyperbolic fillings","version":1},"cited_work":{"arxiv_id":"1606.08082","doi":null,"metadata_source":"pith","pith_arxiv_id":"1606.08082","snapshot_observed_at":"2026-08-14T12:42:53.162193Z","title":"Besov spaces via hyperbolic fillings","venue":"math.CA","work_id":"eec88c59-7ed3-4e19-8eb0-4727ff6f3f4f","year":2016},"citing_paper":{"arxiv_id":"1908.06937","last_updated":"2019-08-19T17:22:07Z","snapshot_observed_at":"2026-08-16T04:44:27.478705Z","submitted_at":"2019-08-19T17:22:07Z","title":"Dyadic norm Besov-type spaces as trace spaces on regular trees","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T12:42:53.113783Z"},"links":{"cited_paper":"/paper/1606.08082","citing_paper":"/paper/1908.06937"},"observation_digest":"sha256:550625aa0bb2991824e62084819b0c58a900c6efd2ffdecfd04601505774cd59","observation_id":"95dce3af-88bb-4690-b898-b475046c8071","resolution":{"observed_at":"2026-08-14T12:42:53.168360Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1606.08082","last_updated":"2016-06-26T20:25:35Z","snapshot_observed_at":"2026-08-14T21:51:06.347501Z","submitted_at":"2016-06-26T20:25:35Z","title":"Besov spaces via hyperbolic fillings","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1606.08082","snapshot_observed_at":"2026-07-14T04:26:53.302746Z","title":"Besov spaces via hyperbolic fillings, 2016","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.11604","last_updated":"2026-07-15T09:29:22Z","snapshot_observed_at":"2026-08-16T11:34:01.947998Z","submitted_at":"2026-07-13T14:28:50Z","title":"On the Linearity of Extension Operators for Traces of Besov Spaces on Metric Measure Spaces: The Limiting Case","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-14T04:26:53.302746Z"},"links":{"cited_paper":"/paper/1606.08082","citing_paper":"/paper/2607.11604"},"observation_digest":"sha256:e6f9b944a4ce876e97b68006227cd8ad18cab4a34a19ba546d724cede42535c5","observation_id":"c90a5cb4-9528-4097-9278-433caf8dba75","resolution":{"observed_at":"2026-07-14T04:26:53.302746Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1606.08082","last_updated":"2016-06-26T20:25:35Z","snapshot_observed_at":"2026-08-14T21:51:06.347501Z","submitted_at":"2016-06-26T20:25:35Z","title":"Besov spaces via hyperbolic fillings","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1606.08082","snapshot_observed_at":"2026-08-02T07:01:38.174735Z","title":"Besov spaces via hyperbolic fillings, 2016","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.11604","last_updated":"2026-07-15T09:29:22Z","snapshot_observed_at":"2026-08-16T11:34:01.947998Z","submitted_at":"2026-07-13T14:28:50Z","title":"On the Linearity of Extension Operators for Traces of Besov Spaces on Metric Measure Spaces: The Limiting Case","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-02T07:01:38.174735Z"},"links":{"cited_paper":"/paper/1606.08082","citing_paper":"/paper/2607.11604"},"observation_digest":"sha256:75c3881290616ebc8f9ad46ecf2086800b44a8aad2ab15e56ca3680a5c723070","observation_id":"6e193c3d-7cec-4b9d-83b6-046d66761cfd","resolution":{"observed_at":"2026-08-02T07:01:38.174735Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1606.08082/citation-record","integrity":"/paper/1606.08082/integrity","json":"/paper/1606.08082/citation-record.json","paper":"/paper/1606.08082"},"outbound":[],"paper":{"arxiv_id":"1606.08082","last_updated":"2016-06-26T20:25:35Z","latest_version":1,"primary_category":"math.CA","snapshot_observed_at":"2026-08-14T21:51:06.347501Z","submitted_at":"2016-06-26T20:25:35Z","title":"Besov spaces via hyperbolic fillings"},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1606.08082."}