{"as_of":"2026-08-17T17:56:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fadff8d49828c02742e78cca853204bd3dccfd94b0b310b0dcc17e0f7e9e37f4","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":"2026-08-14T14:06:11.315181Z","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":"2026-08-14T14:06:11.361719Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1901.07280","last_updated":"2020-05-17T20:25:54Z","snapshot_observed_at":"2026-07-06T07:28:11.835900Z","submitted_at":"2019-01-22T12:14:03Z","title":"On the mean value of the magnitude of an exponential sum involving the divisor function","version":4},"cited_work":{"arxiv_id":"1901.07280","doi":null,"metadata_source":"pith","pith_arxiv_id":"1901.07280","snapshot_observed_at":"2026-08-14T14:06:11.361719Z","title":"On the mean value of the magnitude of an exponential sum involving the divisor function","venue":"math.NT","work_id":"c15fe698-f747-4c4a-a40f-2c91606e588a","year":2019},"citing_paper":{"arxiv_id":"1908.04286","last_updated":"2020-01-01T00:36:16Z","snapshot_observed_at":"2026-08-16T03:24:52.582532Z","submitted_at":"2019-08-12T17:56:11Z","title":"Moment estimates for the exponential sum with higher divisor functions","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T14:06:11.315181Z"},"links":{"cited_paper":"/paper/1901.07280","citing_paper":"/paper/1908.04286"},"observation_digest":"sha256:c11b37726763470e28eb1d083cba685207996c3a36830f7bfb8e6f63e883b101","observation_id":"5dc7a6cc-da15-4087-b03d-fcebe9ae0b4c","resolution":{"observed_at":"2026-08-14T14:06:11.369457Z","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/1901.07280/citation-record","integrity":"/paper/1901.07280/integrity","json":"/paper/1901.07280/citation-record.json","paper":"/paper/1901.07280"},"outbound":[],"paper":{"arxiv_id":"1901.07280","last_updated":"2020-05-17T20:25:54Z","latest_version":4,"primary_category":"math.NT","snapshot_observed_at":"2026-07-06T07:28:11.835900Z","submitted_at":"2019-01-22T12:14:03Z","title":"On the mean value of the magnitude of an exponential sum involving the divisor function"},"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:1901.07280."}