{"as_of":"2026-08-15T17:31:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:60731188e54bfc74daf4e8fc8bab1bbf2dad191e0ec2810201b123680e0e66a4","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":"2026-08-15T06:32:42.880941+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":"2026-05-13T00:53:59.905952Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-13T00:57:00.637634Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.12435","last_updated":"2026-08-12T22:22:56Z","snapshot_observed_at":"2026-08-15T17:19:21.351516Z","submitted_at":"2025-06-14T10:20:46Z","title":"Linear stability of Perelman's $\\nu$-entropy of standard Einstein manifolds","version":2},"cited_work":{"arxiv_id":"2506.12435","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.12435","snapshot_observed_at":"2026-08-14T00:37:49.994846Z","title":"A., Tolcachier, A","venue":null,"work_id":"134993af-86dc-4863-8963-d2254d6bae6c","year":2025},"citing_paper":{"arxiv_id":"2605.11177","last_updated":"2026-05-11T19:39:59Z","snapshot_observed_at":"2026-07-06T23:23:02.025664Z","submitted_at":"2026-05-11T19:39:59Z","title":"Explicit Laplace Spectra of Homogeneous Principal Bundles","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-05-13T00:53:59.905952Z"},"links":{"cited_paper":"/paper/2506.12435","citing_paper":"/paper/2605.11177"},"observation_digest":"sha256:21f261a890877b6651ab881b478722d30a8774c11eff47ab0843a6e73755b68f","observation_id":"c0da18fe-f58d-4bf3-9dc4-3650b74dee69","resolution":{"observed_at":"2026-08-14T00:37:49.994846Z","resolver_source":"arxiv_id","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"}}],"links":{"evidence":"/evidence","html":"/paper/2506.12435/citation-record","integrity":"/paper/2506.12435/integrity","json":"/paper/2506.12435/citation-record.json","paper":"/paper/2506.12435"},"outbound":[],"paper":{"arxiv_id":"2506.12435","last_updated":"2026-08-12T22:22:56Z","latest_version":2,"primary_category":"math.DG","snapshot_observed_at":"2026-08-15T17:19:21.351516Z","submitted_at":"2025-06-14T10:20:46Z","title":"Linear stability of Perelman's $\\nu$-entropy of standard Einstein manifolds"},"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 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2506.12435."}