{"as_of":"2026-08-16T02:39:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ad6228985023f0a1ddf1119eff052635f32a4eec10d7717d8f01d7de04cc13d4","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":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":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T06:02:11.906389Z","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":"2026-08-08T06:04:13.213348Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2410.22104","last_updated":"2024-10-29T15:02:15Z","snapshot_observed_at":"2026-08-16T00:05:37.780317Z","submitted_at":"2024-10-29T15:02:15Z","title":"Positive definite singular kernels on two-point homogeneous spaces","version":1},"cited_work":{"arxiv_id":"2410.22104","doi":null,"metadata_source":"pith","pith_arxiv_id":"2410.22104","snapshot_observed_at":"2026-08-08T06:04:13.213348Z","title":"Positive definite singular kernels on two-point homogeneous spaces","venue":"math.CA","work_id":"3826f0c0-9620-4cb6-977e-1a9cc8a9aa74","year":2024},"citing_paper":{"arxiv_id":"2502.08231","last_updated":"2025-08-26T12:04:11Z","snapshot_observed_at":"2026-08-14T03:25:36.440215Z","submitted_at":"2025-02-12T09:20:08Z","title":"Keep your distance: learning dispersed embeddings on $\\mathbb{S}_m$","version":4},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-08T06:02:11.906389Z"},"links":{"cited_paper":"/paper/2410.22104","citing_paper":"/paper/2502.08231"},"observation_digest":"sha256:30ab5d722079ba02ef808dffb5dba60549ec5f854cc07ef63bd31e00e663ea31","observation_id":"c92de2d9-204f-4c9b-bdf5-603499d74d77","resolution":{"observed_at":"2026-08-08T06:04:13.218596Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.22104","last_updated":"2024-10-29T15:02:15Z","snapshot_observed_at":"2026-08-16T00:05:37.780317Z","submitted_at":"2024-10-29T15:02:15Z","title":"Positive definite singular kernels on two-point homogeneous spaces","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.22104","snapshot_observed_at":"2026-08-03T13:39:31.585391Z","title":"Bilyk and P","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.23791","last_updated":"2026-06-10T09:14:42Z","snapshot_observed_at":"2026-08-07T15:10:17.711667Z","submitted_at":"2025-12-29T19:00:00Z","title":"Energy correlators in four-dimensional gravity","version":2},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-03T13:39:31.585391Z"},"links":{"cited_paper":"/paper/2410.22104","citing_paper":"/paper/2512.23791"},"observation_digest":"sha256:6c8074a5b19ed11f7df566af154d5ff622f8f7794d73449b028249a8ba3e8e41","observation_id":"f573a7ed-c819-47d5-87c1-db50f2b98398","resolution":{"observed_at":"2026-08-03T13:39:31.585391Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2410.22104/citation-record","integrity":"/paper/2410.22104/integrity","json":"/paper/2410.22104/citation-record.json","paper":"/paper/2410.22104"},"outbound":[],"paper":{"arxiv_id":"2410.22104","last_updated":"2024-10-29T15:02:15Z","latest_version":1,"primary_category":"math.CA","snapshot_observed_at":"2026-08-16T00:05:37.780317Z","submitted_at":"2024-10-29T15:02:15Z","title":"Positive definite singular kernels on two-point homogeneous spaces"},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2410.22104."}