{"as_of":"2026-08-12T08:59:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c5c59d6e9a357d1f4a7d64cb558816d1afba2734e23167b4a1f7a34917526fb9","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":"2026-08-01T10:39:31.318833Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1804.05561","last_updated":"2018-04-16T09:05:41Z","snapshot_observed_at":"2026-08-12T08:01:33.630738Z","submitted_at":"2018-04-16T09:05:41Z","title":"A new explicit formula in the additive theory of primes with applications I. The explicit formula for the Goldbach and Generalized Twin Prime Problems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1804.05561","snapshot_observed_at":"2026-08-01T10:39:31.318833Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.27282","last_updated":"2026-07-29T13:54:38Z","snapshot_observed_at":"2026-08-12T08:01:34.781986Z","submitted_at":"2026-07-29T13:54:38Z","title":"The exceptional set of the Goldbach problem","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T10:39:31.318833Z"},"links":{"cited_paper":"/paper/1804.05561","citing_paper":"/paper/2607.27282"},"observation_digest":"sha256:5fb3ead77b7bd35e52a61b6ddaa5712597a8e728da1739b2386160a2a8ddd2da","observation_id":"2037e5ef-5696-4e63-b6be-e7c406d769ba","resolution":{"observed_at":"2026-08-01T10:39:31.318833Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1804.05561/citation-record","integrity":"/paper/1804.05561/integrity","json":"/paper/1804.05561/citation-record.json","paper":"/paper/1804.05561"},"outbound":[],"paper":{"arxiv_id":"1804.05561","last_updated":"2018-04-16T09:05:41Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-12T08:01:33.630738Z","submitted_at":"2018-04-16T09:05:41Z","title":"A new explicit formula in the additive theory of primes with applications I. The explicit formula for the Goldbach and Generalized Twin Prime Problems"},"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:1804.05561."}