{"as_of":"2026-08-12T15:14:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c9d9b1a6b9ece7945fe523fc5ea14a9b7d4d7fe2901af06fb327f6a5eb5001ca","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T16:18:58.315548Z","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":"2026-05-10T08:53:04.754804Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2407.11608","last_updated":"2025-07-10T13:54:40Z","snapshot_observed_at":"2026-07-06T18:47:04.659942Z","submitted_at":"2024-07-16T11:16:25Z","title":"Characters of diagonal products and Hilbert-Schmidt stability","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.11608","snapshot_observed_at":"2026-08-06T16:18:58.315548Z","title":"Dogon, A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.14113","last_updated":"2025-07-18T17:44:36Z","snapshot_observed_at":"2026-08-09T05:20:14.848721Z","submitted_at":"2025-07-18T17:44:36Z","title":"Density of finitely supported invariant measures for automorphisms of compact abelian groups","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-06T16:18:58.315548Z"},"links":{"cited_paper":"/paper/2407.11608","citing_paper":"/paper/2507.14113"},"observation_digest":"sha256:dfac3f5ab9b38d7b5e08ee97024ce60d7769adbb87ca76cbd94f6a301fc28c17","observation_id":"f26382d2-4753-4899-84d3-d610e907ff31","resolution":{"observed_at":"2026-08-06T16:18:58.315548Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.11608","last_updated":"2025-07-10T13:54:40Z","snapshot_observed_at":"2026-07-06T18:47:04.659942Z","submitted_at":"2024-07-16T11:16:25Z","title":"Characters of diagonal products and Hilbert-Schmidt stability","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.11608","snapshot_observed_at":"2026-08-06T12:36:09.058242Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.21862","last_updated":"2025-07-29T14:34:49Z","snapshot_observed_at":"2026-08-07T15:35:34.787847Z","submitted_at":"2025-07-29T14:34:49Z","title":"Non-uniform higher-rank lattices are character rigid","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T12:36:09.058242Z"},"links":{"cited_paper":"/paper/2407.11608","citing_paper":"/paper/2507.21862"},"observation_digest":"sha256:a1fb4da1cfdf068459b48441d39cad62775d86162863c14e4c14c02bbc009779","observation_id":"77722c0c-0ac4-44d2-9c3d-945438c080a6","resolution":{"observed_at":"2026-08-06T12:36:09.058242Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.11608","last_updated":"2025-07-10T13:54:40Z","snapshot_observed_at":"2026-07-06T18:47:04.659942Z","submitted_at":"2024-07-16T11:16:25Z","title":"Characters of diagonal products and Hilbert-Schmidt stability","version":2},"cited_work":{"arxiv_id":"2407.11608","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2407.11608","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Dogon, A","venue":null,"work_id":"1b9418d8-a457-49f1-8791-4033e09cc40f","year":2024},"citing_paper":{"arxiv_id":"2604.14903","last_updated":"2026-04-16T11:47:18Z","snapshot_observed_at":"2026-08-06T12:10:57.364729Z","submitted_at":"2026-04-16T11:47:18Z","title":"Groups with arbitrarily poor permutation stability","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-10T08:48:17.630222Z"},"links":{"cited_paper":"/paper/2407.11608","citing_paper":"/paper/2604.14903"},"observation_digest":"sha256:65357be914e197961ed0ba8816d19015cb332ab7c4885cc53dd91ac68d336172","observation_id":"cd2c7b82-f402-4735-9a74-8a4453f81902","resolution":{"observed_at":"2026-05-10T08:53:04.756902Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.11608","last_updated":"2025-07-10T13:54:40Z","snapshot_observed_at":"2026-07-06T18:47:04.659942Z","submitted_at":"2024-07-16T11:16:25Z","title":"Characters of diagonal products and Hilbert-Schmidt stability","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.11608","snapshot_observed_at":"2026-08-01T10:53:56.307886Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.20135","last_updated":"2026-07-22T13:39:10Z","snapshot_observed_at":"2026-08-08T23:12:20.702412Z","submitted_at":"2026-07-22T13:39:10Z","title":"Polynomial Hilbert-Schmidt stability of the lamplighter group","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-01T10:53:56.307886Z"},"links":{"cited_paper":"/paper/2407.11608","citing_paper":"/paper/2607.20135"},"observation_digest":"sha256:0616cd22b6d50b04019c7139c43f60acc44e2b4bd021cb20de42cddec6c7d5dc","observation_id":"4b91fe20-047d-4221-869a-49f3db210eb7","resolution":{"observed_at":"2026-08-01T10:53:56.307886Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2407.11608/citation-record","integrity":"/paper/2407.11608/integrity","json":"/paper/2407.11608/citation-record.json","paper":"/paper/2407.11608"},"outbound":[],"paper":{"arxiv_id":"2407.11608","last_updated":"2025-07-10T13:54:40Z","latest_version":2,"primary_category":"math.GR","snapshot_observed_at":"2026-07-06T18:47:04.659942Z","submitted_at":"2024-07-16T11:16:25Z","title":"Characters of diagonal products and Hilbert-Schmidt stability"},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2407.11608."}