{"as_of":"2026-08-05T21:42:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:25f87217670d45fe7bfdf82995701a8021fd6a7abe63272dcf6706b3547d6910","coverage":[{"denominator":2,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-13T10:19:31.179890Z","state":"measured"},{"denominator":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-05T06:32:48.257954+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/2604.04272/citation-record","integrity":"/paper/2604.04272/integrity","json":"/paper/2604.04272/citation-record.json","paper":"/paper/2604.04272"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T10:19:31.179890Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2604.04272","last_updated":"2026-04-05T21:26:03Z","snapshot_observed_at":"2026-07-13T10:18:56.393698Z","submitted_at":"2026-04-05T21:26:03Z","title":"Theoretical Foundations of Principal Manifold Estimation with Non-Euclidean Templates","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-13T10:19:31.179890Z"},"links":{"citing_paper":"/paper/2604.04272"},"observation_digest":"sha256:97ba3de9ffd649bbf3a256541a32228532d870d52ffc534d975ec3d150d1ab4d","observation_id":"cb95d071-4b78-4a9c-9815-5952f4718be5","resolution":{"observed_at":"2026-07-13T10:19:31.179890Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2604.04274","last_updated":"2026-04-05T21:27:55Z","snapshot_observed_at":"2026-08-02T06:57:46.698202Z","submitted_at":"2026-04-05T21:27:55Z","title":"InferenceEvolve: Towards Automated Causal Effect Estimators through Self-Evolving AI","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.04274","snapshot_observed_at":"2026-07-13T10:19:31.179890Z","title":"Top, RMSE distributions","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2604.04272","last_updated":"2026-04-05T21:26:03Z","snapshot_observed_at":"2026-07-13T10:18:56.393698Z","submitted_at":"2026-04-05T21:26:03Z","title":"Theoretical Foundations of Principal Manifold Estimation with Non-Euclidean Templates","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-13T10:19:31.179890Z"},"links":{"cited_paper":"/paper/2604.04274","citing_paper":"/paper/2604.04272"},"observation_digest":"sha256:990f574aed1dfb7b2e92de2826b15bafac312a99971ec5340d34ccff70c6a6d8","observation_id":"74067c48-ef77-4d3e-b8cd-dc855ce7701e","resolution":{"observed_at":"2026-07-13T10:19:31.179890Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2604.04272","last_updated":"2026-04-05T21:26:03Z","latest_version":1,"primary_category":"math.ST","snapshot_observed_at":"2026-07-13T10:18:56.393698Z","submitted_at":"2026-04-05T21:26:03Z","title":"Theoretical Foundations of Principal Manifold Estimation with Non-Euclidean Templates"},"reference_resolution":{"displayed":2,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":2},"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":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"thesis":"As of 5 August 2026, this Paper Citation Record lists 2 of 2 outbound references and 0 inbound Pith citation observations for arXiv:2604.04272."}