{"as_of":"2026-08-12T08:58:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:82752bf4256618c7c45d9a3aebed76c43edd68204778ff3e57e169df7dad0e10","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":"2026-08-12T06:34:41.77262+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":"2026-08-06T16:14:31.050116Z","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":"2026-08-06T16:14:32.706349Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1706.03651","last_updated":"2018-10-04T11:58:45Z","snapshot_observed_at":"2026-07-06T05:46:28.467447Z","submitted_at":"2017-06-12T14:10:45Z","title":"New estimates for the $n$th prime number","version":2},"cited_work":{"arxiv_id":"1706.03651","doi":null,"metadata_source":"pith","pith_arxiv_id":"1706.03651","snapshot_observed_at":"2026-08-06T16:14:32.706349Z","title":"New estimates for the $n$th prime number","venue":"math.NT","work_id":"654f4102-082c-4af2-9d0b-6179b0f4d7d8","year":2017},"citing_paper":{"arxiv_id":"2507.14410","last_updated":"2025-07-18T23:34:46Z","snapshot_observed_at":"2026-08-11T23:56:13.404436Z","submitted_at":"2025-07-18T23:34:46Z","title":"Behaviour of the sequence $\\vartheta_n = \\vartheta(p_n)$","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T16:14:31.050116Z"},"links":{"cited_paper":"/paper/1706.03651","citing_paper":"/paper/2507.14410"},"observation_digest":"sha256:0136a66ab4a4cb8da758608d0276b90c598d7ef996d89f90c06d3c28d2efb926","observation_id":"db0bf787-d54d-4f4c-aef6-558ab2111f4f","resolution":{"observed_at":"2026-08-06T16:14:32.710076Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1706.03651/citation-record","integrity":"/paper/1706.03651/integrity","json":"/paper/1706.03651/citation-record.json","paper":"/paper/1706.03651"},"outbound":[],"paper":{"arxiv_id":"1706.03651","last_updated":"2018-10-04T11:58:45Z","latest_version":2,"primary_category":"math.NT","snapshot_observed_at":"2026-07-06T05:46:28.467447Z","submitted_at":"2017-06-12T14:10:45Z","title":"New estimates for the $n$th prime number"},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1706.03651."}