{"as_of":"2026-08-18T22:56:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5f28e98eedf843a06b6b25509c6bd186e5af387b87cb2a681c25050890b81de7","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":"2026-08-18T06:34:40.430872+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":"2026-08-11T19:10:13.928443Z","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":"2026-08-11T19:10:14.018363Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2404.09009","last_updated":"2024-04-13T13:37:14Z","snapshot_observed_at":"2026-08-18T19:51:13.799294Z","submitted_at":"2024-04-13T13:37:14Z","title":"Statistics for Iwasawa invariants of elliptic curves, $\\rm{III}$","version":1},"cited_work":{"arxiv_id":"2404.09009","doi":null,"metadata_source":"pith","pith_arxiv_id":"2404.09009","snapshot_observed_at":"2026-08-11T19:10:14.018363Z","title":"Statistics for Iwasawa invariants of elliptic curves, $\\rm{III}$","venue":"math.NT","work_id":"5c06a974-8d00-43d0-b542-e402281c18fc","year":2024},"citing_paper":{"arxiv_id":"2412.07308","last_updated":"2024-12-12T16:12:37Z","snapshot_observed_at":"2026-08-18T12:29:11.751380Z","submitted_at":"2024-12-10T08:44:19Z","title":"Iwasawa theory and ranks of elliptic curves in quadratic twist families","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T19:10:13.928443Z"},"links":{"cited_paper":"/paper/2404.09009","citing_paper":"/paper/2412.07308"},"observation_digest":"sha256:89701304106731dbde05fe00688bd2e7fd2a616b03b4622ff31831fe5ef1e3fb","observation_id":"92ab333e-1f9d-4080-a287-a28152d7ff73","resolution":{"observed_at":"2026-08-11T19:10:14.025781Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2404.09009/citation-record","integrity":"/paper/2404.09009/integrity","json":"/paper/2404.09009/citation-record.json","paper":"/paper/2404.09009"},"outbound":[],"paper":{"arxiv_id":"2404.09009","last_updated":"2024-04-13T13:37:14Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-18T19:51:13.799294Z","submitted_at":"2024-04-13T13:37:14Z","title":"Statistics for Iwasawa invariants of elliptic curves, $\\rm{III}$"},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2404.09009."}