{"as_of":"2026-08-13T16:23:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:eb0da3b6c1d029814c27f6580487674183c8488b1f5696a80acbcdb160c577ae","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":"2026-08-13T06:32:02.005865+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":"2026-08-12T13:19:30.672611Z","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":"2026-08-12T13:19:31.064570Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2406.13333","last_updated":"2024-06-19T08:34:10Z","snapshot_observed_at":"2026-08-13T12:06:35.009991Z","submitted_at":"2024-06-19T08:34:10Z","title":"Functions of unitaries with $\\mathcal{S}^p$-perturbations for non continuously differentiable functions","version":1},"cited_work":{"arxiv_id":"2406.13333","doi":null,"metadata_source":"pith","pith_arxiv_id":"2406.13333","snapshot_observed_at":"2026-08-12T13:19:31.064570Z","title":"Functions of unitaries with $\\mathcal{S}^p$-perturbations for non continuously differentiable functions","venue":"math.FA","work_id":"eecefb62-ebcb-4c77-acda-65b6280b045f","year":2024},"citing_paper":{"arxiv_id":"2411.16426","last_updated":"2026-07-15T17:04:35Z","snapshot_observed_at":"2026-08-12T13:05:35.960729Z","submitted_at":"2024-11-25T14:28:47Z","title":"Trace formulas for $\\mathcal{S}^p$-perturbations and extension of Koplienko-Neidhardt trace formulas","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T13:19:30.672611Z"},"links":{"cited_paper":"/paper/2406.13333","citing_paper":"/paper/2411.16426"},"observation_digest":"sha256:1741dd78fa4f9a2998836b2782f034be9b7d99ef9512f7c6ba0e3b87033d8224","observation_id":"4682abbd-b707-49dd-8a9e-0fa7a9b98262","resolution":{"observed_at":"2026-08-12T13:19:31.075551Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2406.13333/citation-record","integrity":"/paper/2406.13333/integrity","json":"/paper/2406.13333/citation-record.json","paper":"/paper/2406.13333"},"outbound":[],"paper":{"arxiv_id":"2406.13333","last_updated":"2024-06-19T08:34:10Z","latest_version":1,"primary_category":"math.FA","snapshot_observed_at":"2026-08-13T12:06:35.009991Z","submitted_at":"2024-06-19T08:34:10Z","title":"Functions of unitaries with $\\mathcal{S}^p$-perturbations for non continuously differentiable functions"},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2406.13333."}