{"as_of":"2026-08-08T08:29:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4db0d50108132e99607b282f938051efc822dd8642b22e69acb7b131950d5191","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":"2026-08-08T06:32:00.761636+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":"2026-08-07T12:49:54.904298Z","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":"2026-08-07T12:49:56.088902Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.15161","last_updated":"2024-12-19T18:37:57Z","snapshot_observed_at":"2026-07-06T20:10:24.217625Z","submitted_at":"2024-12-19T18:37:57Z","title":"Geometric Properties and Distance Inequalities on Grassmannians","version":1},"cited_work":{"arxiv_id":"2412.15161","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.15161","snapshot_observed_at":"2026-08-07T12:49:56.088902Z","title":"Geometric Properties and Distance Inequalities on Grassmannians","venue":"math.DG","work_id":"79c44565-cdc3-4a9b-ac02-204099226aed","year":2024},"citing_paper":{"arxiv_id":"2505.23629","last_updated":"2025-07-17T15:53:12Z","snapshot_observed_at":"2026-08-07T12:39:10.344755Z","submitted_at":"2025-05-29T16:36:02Z","title":"Color Image Set Recognition Based on Quaternionic Grassmannians","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T12:49:54.904298Z"},"links":{"cited_paper":"/paper/2412.15161","citing_paper":"/paper/2505.23629"},"observation_digest":"sha256:2794594772f28005c9aa8f4efdaa736538933cd93bf3698c5aa303074c376961","observation_id":"59606cb7-ba2d-4614-8e48-2ddf0438319d","resolution":{"observed_at":"2026-08-07T12:49:56.163919Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.15161/citation-record","integrity":"/paper/2412.15161/integrity","json":"/paper/2412.15161/citation-record.json","paper":"/paper/2412.15161"},"outbound":[],"paper":{"arxiv_id":"2412.15161","last_updated":"2024-12-19T18:37:57Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-07-06T20:10:24.217625Z","submitted_at":"2024-12-19T18:37:57Z","title":"Geometric Properties and Distance Inequalities on Grassmannians"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2412.15161."}