{"as_of":"2026-08-12T19:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a9854db2bb3361e2c087e62dba38f91b5dd865e0675b4b9da08fbf04ecfde273","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":"2026-08-01T21:51:54.232329Z","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":"2506.18874","last_updated":"2026-06-05T03:18:27Z","snapshot_observed_at":"2026-08-08T12:03:03.268863Z","submitted_at":"2025-06-23T17:43:38Z","title":"Counting elliptic curves over $\\mathbb{Q}$ with bounded naive height","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.18874","snapshot_observed_at":"2026-08-01T21:51:54.232329Z","title":"arXiv preprint arXiv:2506.18874 , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.15998","last_updated":"2026-07-17T14:32:21Z","snapshot_observed_at":"2026-08-11T05:08:25.811383Z","submitted_at":"2026-07-17T14:32:21Z","title":"Upper bounds for moments of analytic ranks of elliptic curves over number fields","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-01T21:51:54.232329Z"},"links":{"cited_paper":"/paper/2506.18874","citing_paper":"/paper/2607.15998"},"observation_digest":"sha256:e0fad6303d7b5b19115f771f37279cc0c09bc2a7d85c657c817690c29cbc61a3","observation_id":"7b9320ea-8428-4e25-95e1-8bc916f8ce1e","resolution":{"observed_at":"2026-08-01T21:51:54.232329Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2506.18874/citation-record","integrity":"/paper/2506.18874/integrity","json":"/paper/2506.18874/citation-record.json","paper":"/paper/2506.18874"},"outbound":[],"paper":{"arxiv_id":"2506.18874","last_updated":"2026-06-05T03:18:27Z","latest_version":2,"primary_category":"math.NT","snapshot_observed_at":"2026-08-08T12:03:03.268863Z","submitted_at":"2025-06-23T17:43:38Z","title":"Counting elliptic curves over $\\mathbb{Q}$ with bounded naive height"},"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:2506.18874."}