{"as_of":"2026-08-16T22:32:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:838db28d03162254c23fae4ec1b65d30e319d786b53cc1dd033bc9432e4b7759","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":"2026-08-16T06:30:59.297886+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":"2026-08-15T23:12:05.897973Z","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":"2026-08-15T23:12:06.063673Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2012.04084","last_updated":"2020-12-07T22:04:10Z","snapshot_observed_at":"2026-08-16T19:00:17.833893Z","submitted_at":"2020-12-07T22:04:10Z","title":"Machine-Learning Arithmetic Curves","version":1},"cited_work":{"arxiv_id":"2012.04084","doi":null,"metadata_source":"pith","pith_arxiv_id":"2012.04084","snapshot_observed_at":"2026-08-15T23:12:06.063673Z","title":"Machine-Learning Arithmetic Curves","venue":"math.NT","work_id":"77ca47e0-f937-4912-a05a-3fe6fd8d9dc4","year":2020},"citing_paper":{"arxiv_id":"2505.05549","last_updated":"2025-05-08T18:00:00Z","snapshot_observed_at":"2026-08-15T23:00:26.789628Z","submitted_at":"2025-05-08T18:00:00Z","title":"Machine learning automorphic forms for black holes","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T23:12:05.897973Z"},"links":{"cited_paper":"/paper/2012.04084","citing_paper":"/paper/2505.05549"},"observation_digest":"sha256:a886b82c9435d557d3c688f41342fb89638a60c657c5a9536ffebf2fa9e49d51","observation_id":"e1df5c24-960b-4cc7-8f51-e698629897f9","resolution":{"observed_at":"2026-08-15T23:12:06.069334Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2012.04084/citation-record","integrity":"/paper/2012.04084/integrity","json":"/paper/2012.04084/citation-record.json","paper":"/paper/2012.04084"},"outbound":[],"paper":{"arxiv_id":"2012.04084","last_updated":"2020-12-07T22:04:10Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-16T19:00:17.833893Z","submitted_at":"2020-12-07T22:04:10Z","title":"Machine-Learning Arithmetic Curves"},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2012.04084."}