{"as_of":"2026-08-10T05:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:70bf1db61e6f1ae1d470c2e6db77ef1a65ad97f90e1b976325451d57b93af47f","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":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T15:01:40.718990Z","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":"2026-07-02T05:56:40.636272Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2503.21619","last_updated":"2025-03-27T15:38:54Z","snapshot_observed_at":"2026-08-07T16:32:28.479017Z","submitted_at":"2025-03-27T15:38:54Z","title":"Strong convergence of unitary and permutation representations of discrete groups","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.21619","snapshot_observed_at":"2026-08-06T15:01:40.718990Z","title":"Magee, Strong convergence of unitary and permutation representations of dis- crete groups","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.17466","last_updated":"2025-08-07T12:09:27Z","snapshot_observed_at":"2026-08-08T13:22:07.855218Z","submitted_at":"2025-07-23T12:46:47Z","title":"On the spectral stability of finite coverings","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T15:01:40.718990Z"},"links":{"cited_paper":"/paper/2503.21619","citing_paper":"/paper/2507.17466"},"observation_digest":"sha256:b3728bc134b940629beec05311564fabf43f64914c5fa35addb6fad9a4e38566","observation_id":"a918e182-93ec-4266-8ecf-c5ac22cadd8c","resolution":{"observed_at":"2026-08-06T15:01:40.718990Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.21619","last_updated":"2025-03-27T15:38:54Z","snapshot_observed_at":"2026-08-07T16:32:28.479017Z","submitted_at":"2025-03-27T15:38:54Z","title":"Strong convergence of unitary and permutation representations of discrete groups","version":1},"cited_work":{"arxiv_id":"2503.21619","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.21619","snapshot_observed_at":"2026-07-02T05:56:40.636272Z","title":"Magee; Strong convergence of unitary and permutation representations of discrete groups","venue":null,"work_id":"652af1ca-88cd-4331-90ab-fa67a8fa367f","year":2025},"citing_paper":{"arxiv_id":"2604.22412","last_updated":"2026-07-27T13:10:57Z","snapshot_observed_at":"2026-08-02T15:41:34.162197Z","submitted_at":"2026-04-24T10:16:08Z","title":"Uniform amenability at infinity","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-05-08T09:17:43.284745Z"},"links":{"cited_paper":"/paper/2503.21619","citing_paper":"/paper/2604.22412"},"observation_digest":"sha256:0a908e89b757bea6758e3d0bb3410e7099771dce51cfaa8f33edae5cdf470378","observation_id":"2af6cf7d-3d64-4cef-84c8-ddcdb478e8f5","resolution":{"observed_at":"2026-05-11T20:21:12.912026Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.21619","last_updated":"2025-03-27T15:38:54Z","snapshot_observed_at":"2026-08-07T16:32:28.479017Z","submitted_at":"2025-03-27T15:38:54Z","title":"Strong convergence of unitary and permutation representations of discrete groups","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.21619","snapshot_observed_at":"2026-08-02T15:41:50.357872Z","title":"Magee; Strong convergence of unitary and permutation representations of discrete groups","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2604.22412","last_updated":"2026-07-27T13:10:57Z","snapshot_observed_at":"2026-08-02T15:41:34.162197Z","submitted_at":"2026-04-24T10:16:08Z","title":"Uniform amenability at infinity","version":4},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-02T15:41:50.357872Z"},"links":{"cited_paper":"/paper/2503.21619","citing_paper":"/paper/2604.22412"},"observation_digest":"sha256:1ef2278a23a202dcf87bcf64e40618cbb58610d7896b54b5739596dca69ea480","observation_id":"95560a5c-c619-4414-8186-a81bb2ab1a32","resolution":{"observed_at":"2026-08-02T15:41:50.357872Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.21619","last_updated":"2025-03-27T15:38:54Z","snapshot_observed_at":"2026-08-07T16:32:28.479017Z","submitted_at":"2025-03-27T15:38:54Z","title":"Strong convergence of unitary and permutation representations of discrete groups","version":1},"cited_work":{"arxiv_id":"2503.21619","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.21619","snapshot_observed_at":"2026-07-02T05:56:40.636272Z","title":"Magee; Strong convergence of unitary and permutation representations of discrete groups","venue":null,"work_id":"652af1ca-88cd-4331-90ab-fa67a8fa367f","year":2025},"citing_paper":{"arxiv_id":"2606.02985","last_updated":"2026-06-02T00:43:51Z","snapshot_observed_at":"2026-08-02T15:13:18.839632Z","submitted_at":"2026-06-02T00:43:51Z","title":"Questions on the structure of random embeddings of $L(\\mathbb{F}_2)$","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-28T07:53:54.725811Z"},"links":{"cited_paper":"/paper/2503.21619","citing_paper":"/paper/2606.02985"},"observation_digest":"sha256:7253e2cb74003e67fbe1cd0eb58a1b5332f527649f6266783a305a55b0565edf","observation_id":"6de91aa1-2f4a-470e-a975-1c95c595bac7","resolution":{"observed_at":"2026-07-02T05:56:40.638955Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.21619","last_updated":"2025-03-27T15:38:54Z","snapshot_observed_at":"2026-08-07T16:32:28.479017Z","submitted_at":"2025-03-27T15:38:54Z","title":"Strong convergence of unitary and permutation representations of discrete groups","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.21619","snapshot_observed_at":"2026-08-03T04:36:16.172693Z","title":"arXiv:2503.21619 , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.29571","last_updated":"2026-07-31T15:59:10Z","snapshot_observed_at":"2026-08-06T04:40:10.130753Z","submitted_at":"2026-07-31T15:59:10Z","title":"Strongly converging unitary representations for extensions by exact groups","version":1},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-08-03T04:36:16.172693Z"},"links":{"cited_paper":"/paper/2503.21619","citing_paper":"/paper/2607.29571"},"observation_digest":"sha256:d3f122ed205c8602a1ab43a50b59e1a3ce30cc4d2fb285b8e2643705386a1da7","observation_id":"1d29af1f-7199-4b97-95f6-d5b0076e7000","resolution":{"observed_at":"2026-08-03T04:36:16.172693Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2503.21619/citation-record","integrity":"/paper/2503.21619/integrity","json":"/paper/2503.21619/citation-record.json","paper":"/paper/2503.21619"},"outbound":[],"paper":{"arxiv_id":"2503.21619","last_updated":"2025-03-27T15:38:54Z","latest_version":1,"primary_category":"math.GR","snapshot_observed_at":"2026-08-07T16:32:28.479017Z","submitted_at":"2025-03-27T15:38:54Z","title":"Strong convergence of unitary and permutation representations of discrete groups"},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2503.21619."}