{"as_of":"2026-08-14T20:52:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7015bbfa5acfd1ef9d74f2f1ece64df68bc9c1bef07652b1191b61ff20429d2d","coverage":[{"denominator":3,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T18:41:16.514536Z","state":"measured"},{"denominator":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"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":[],"links":{"evidence":"/evidence","html":"/paper/2603.08700/citation-record","integrity":"/paper/2603.08700/integrity","json":"/paper/2603.08700/citation-record.json","paper":"/paper/2603.08700"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"0909.4607","last_updated":"2009-09-25T05:26:07Z","snapshot_observed_at":"2026-08-06T08:40:41.135594Z","submitted_at":"2009-09-25T05:26:07Z","title":"A note on the sign degree of formulas","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0909.4607","snapshot_observed_at":"2026-08-02T18:41:16.514536Z","title":"A note on the sign-degree of formulas","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2603.08700","last_updated":"2026-07-30T16:11:12Z","snapshot_observed_at":"2026-08-13T16:48:18.261634Z","submitted_at":"2026-03-09T17:57:19Z","title":"Learning Functions of Halfspaces","version":2},"reference_index":1994,"source":"pdf_text","source_observed_at":"2026-08-02T18:41:16.514536Z"},"links":{"cited_paper":"/paper/0909.4607","citing_paper":"/paper/2603.08700"},"observation_digest":"sha256:8d6bc4f21b1a231a0e44c8bb05fd9a14b303d8f530634d6842254b8df4d09ce5","observation_id":"f435cef5-4052-425c-8054-dcbb56b90692","resolution":{"observed_at":"2026-08-02T18:41:16.514536Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2010.11925","last_updated":"2023-08-24T12:58:14Z","snapshot_observed_at":"2026-08-10T17:12:15.935236Z","submitted_at":"2020-10-22T17:55:26Z","title":"The Polynomial Method is Universal for Distribution-Free Correlational SQ Learning","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.11925","snapshot_observed_at":"2026-08-02T18:41:16.374178Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2603.08700","last_updated":"2026-07-30T16:11:12Z","snapshot_observed_at":"2026-08-13T16:48:18.261634Z","submitted_at":"2026-03-09T17:57:19Z","title":"Learning Functions of Halfspaces","version":2},"reference_index":1997,"source":"pdf_text","source_observed_at":"2026-08-02T18:41:16.374178Z"},"links":{"cited_paper":"/paper/2010.11925","citing_paper":"/paper/2603.08700"},"observation_digest":"sha256:bd9a97f0f92d63323b0f2bb7e93c877e6f5d5a033b41032e61c1fa3f0c72c585","observation_id":"f72f50ce-9a81-4c04-8df5-6e0ffa12c8dc","resolution":{"observed_at":"2026-08-02T18:41:16.374178Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T18:41:16.442657Z","title":"Learning convex polyhedra with margin.IEEE Trans","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2603.08700","last_updated":"2026-07-30T16:11:12Z","snapshot_observed_at":"2026-08-13T16:48:18.261634Z","submitted_at":"2026-03-09T17:57:19Z","title":"Learning Functions of Halfspaces","version":2},"reference_index":2020,"source":"pdf_text","source_observed_at":"2026-08-02T18:41:16.442657Z"},"links":{"citing_paper":"/paper/2603.08700"},"observation_digest":"sha256:6cc23cc56fd26f4e6dd1e8d43f32f75a545bec81e41ac1b0619ba6be913eb60d","observation_id":"a5dae468-c01f-426b-9004-3a0756724639","resolution":{"observed_at":"2026-08-02T18:41:16.442657Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2603.08700","last_updated":"2026-07-30T16:11:12Z","latest_version":2,"primary_category":"cs.DS","snapshot_observed_at":"2026-08-13T16:48:18.261634Z","submitted_at":"2026-03-09T17:57:19Z","title":"Learning Functions of Halfspaces"},"reference_resolution":{"displayed":3,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":3},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 3 of 3 outbound references and 0 inbound Pith citation observations for arXiv:2603.08700."}