{"as_of":"2026-08-17T12:12:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6ae32ce28c40dfd5cbef98fe8d8417d94d8d0bd7cfa45049d05b93901c40140f","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":"2026-08-17T06:30:58.91139+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":"2026-08-14T11:31:33.423001Z","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":"2026-08-14T11:31:33.829525Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1606.00705","last_updated":"2016-06-02T14:44:06Z","snapshot_observed_at":"2026-08-14T21:54:30.682940Z","submitted_at":"2016-06-02T14:44:06Z","title":"Summability estimates on transport densities with dirichlet regions on the boundary via symmetrization techniques","version":1},"cited_work":{"arxiv_id":"1606.00705","doi":null,"metadata_source":"pith","pith_arxiv_id":"1606.00705","snapshot_observed_at":"2026-08-14T11:31:33.829525Z","title":"Summability estimates on transport densities with dirichlet regions on the boundary via symmetrization techniques","venue":"math.AP","work_id":"85feb965-d91f-46f5-8bae-08dded4e561b","year":2016},"citing_paper":{"arxiv_id":"1908.09113","last_updated":"2019-08-24T09:25:46Z","snapshot_observed_at":"2026-08-16T18:50:02.453907Z","submitted_at":"2019-08-24T09:25:46Z","title":"Least gradient problem on annuli","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:33.423001Z"},"links":{"cited_paper":"/paper/1606.00705","citing_paper":"/paper/1908.09113"},"observation_digest":"sha256:a9c0b23abb84fcab11d89a6986272b29a35a622b11e59e89c44695431adb181a","observation_id":"40dc7d5d-82d8-4e43-9d4c-80d5d08ea2a0","resolution":{"observed_at":"2026-08-14T11:31:33.877698Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1606.00705/citation-record","integrity":"/paper/1606.00705/integrity","json":"/paper/1606.00705/citation-record.json","paper":"/paper/1606.00705"},"outbound":[],"paper":{"arxiv_id":"1606.00705","last_updated":"2016-06-02T14:44:06Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-14T21:54:30.682940Z","submitted_at":"2016-06-02T14:44:06Z","title":"Summability estimates on transport densities with dirichlet regions on the boundary via symmetrization techniques"},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1606.00705."}