{"as_of":"2026-08-04T16:12:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:368044eb67d25c80725467206d8193269c129e67879f8947a7239e5010447f22","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":"2026-08-04T06:34:03.388597+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":"2026-07-30T12:20:57.284440Z","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":"2509.02649","last_updated":"2025-09-02T12:07:48Z","snapshot_observed_at":"2026-07-06T22:22:31.499556Z","submitted_at":"2025-09-02T12:07:48Z","title":"Fast kernel methods: Sobolev, physics-informed, and additive models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2509.02649","snapshot_observed_at":"2026-07-30T12:20:57.284440Z","title":"Fast kernel methods: Sobolev, physics-informed, and additive models.arXiv preprint arXiv:2509.02649, 2025a","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.27062","last_updated":"2026-07-29T15:53:03Z","snapshot_observed_at":"2026-08-01T23:40:38.788226Z","submitted_at":"2026-07-29T15:53:03Z","title":"PIKS: Universal Physics-Informed Kernel Methods","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-07-30T12:20:57.284440Z"},"links":{"cited_paper":"/paper/2509.02649","citing_paper":"/paper/2607.27062"},"observation_digest":"sha256:b6746d0db26c89cf958f60e87604054d5c03f1d9e7f3eacc7e61fc29bcde62b2","observation_id":"d5673e30-789b-438a-9034-997eee8ac92c","resolution":{"observed_at":"2026-07-30T12:20:57.284440Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2509.02649/citation-record","integrity":"/paper/2509.02649/integrity","json":"/paper/2509.02649/citation-record.json","paper":"/paper/2509.02649"},"outbound":[],"paper":{"arxiv_id":"2509.02649","last_updated":"2025-09-02T12:07:48Z","latest_version":1,"primary_category":"stat.ML","snapshot_observed_at":"2026-07-06T22:22:31.499556Z","submitted_at":"2025-09-02T12:07:48Z","title":"Fast kernel methods: Sobolev, physics-informed, and additive models"},"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":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"thesis":"As of 4 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2509.02649."}