{"as_of":"2026-08-13T05:23:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:70d798949076aa583a65343416bb290a9204329ce5d02cb81398409d05e750e3","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T16:18:58.456312Z","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":"2026-05-18T21:36:52.560424Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.07791","last_updated":"2025-02-21T01:49:18Z","snapshot_observed_at":"2026-08-10T20:33:31.146220Z","submitted_at":"2025-01-14T02:19:21Z","title":"Residually finite amenable groups that are not Hilbert-Schmidt stable","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.07791","snapshot_observed_at":"2026-08-06T16:18:58.456312Z","title":null,"venue":null,"work_id":null,"year":2025},"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":11,"source":"arxiv_source","source_observed_at":"2026-08-06T16:18:58.456312Z"},"links":{"cited_paper":"/paper/2501.07791","citing_paper":"/paper/2507.14113"},"observation_digest":"sha256:a59a32da1ef7c6dbe5b2b4b883988bbd6c68f1e4e6f71e2fb7f08ebb2ceeadd1","observation_id":"e4c90a5e-41a7-43e2-bec7-76c4d0716092","resolution":{"observed_at":"2026-08-06T16:18:58.456312Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.07791","last_updated":"2025-02-21T01:49:18Z","snapshot_observed_at":"2026-08-10T20:33:31.146220Z","submitted_at":"2025-01-14T02:19:21Z","title":"Residually finite amenable groups that are not Hilbert-Schmidt stable","version":2},"cited_work":{"arxiv_id":"2501.07791","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.07791","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Eckhardt, Residually finite amenable groups that are not Hilbert-Schmidt stable, arXiv preprint arXiv:2501.07791 (2025)","venue":null,"work_id":"ac19c862-c597-4fdf-aff5-e216ed28e650","year":2025},"citing_paper":{"arxiv_id":"2508.17392","last_updated":"2026-04-29T10:52:26Z","snapshot_observed_at":"2026-08-11T16:18:57.519881Z","submitted_at":"2025-08-24T15:01:16Z","title":"On $L^1$-approximation of groups","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-18T21:34:04.256426Z"},"links":{"cited_paper":"/paper/2501.07791","citing_paper":"/paper/2508.17392"},"observation_digest":"sha256:6df750a6093d2f4b15a48707f80fa3de1ff675db351eb180b92da29e36256405","observation_id":"c131a619-b0b2-4f02-82a0-e9c5419e9d8a","resolution":{"observed_at":"2026-05-18T21:36:52.563078Z","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":"2501.07791","last_updated":"2025-02-21T01:49:18Z","snapshot_observed_at":"2026-08-10T20:33:31.146220Z","submitted_at":"2025-01-14T02:19:21Z","title":"Residually finite amenable groups that are not Hilbert-Schmidt stable","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.07791","snapshot_observed_at":"2026-08-01T17:39:49.661398Z","title":"Eckhardt","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.17578","last_updated":"2026-07-20T05:47:04Z","snapshot_observed_at":"2026-08-09T10:22:17.491041Z","submitted_at":"2026-07-20T05:47:04Z","title":"$\\mathbb{Z}^2$ is flexibly stable in the operator norm","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T17:39:49.661398Z"},"links":{"cited_paper":"/paper/2501.07791","citing_paper":"/paper/2607.17578"},"observation_digest":"sha256:4235c815bf4473ff35f394efd3f285ec5872fbabfeb76e0a3dde52931dac7702","observation_id":"aa813078-b276-4af5-af69-a40e378c3f93","resolution":{"observed_at":"2026-08-01T17:39:49.661398Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2501.07791/citation-record","integrity":"/paper/2501.07791/integrity","json":"/paper/2501.07791/citation-record.json","paper":"/paper/2501.07791"},"outbound":[],"paper":{"arxiv_id":"2501.07791","last_updated":"2025-02-21T01:49:18Z","latest_version":2,"primary_category":"math.GR","snapshot_observed_at":"2026-08-10T20:33:31.146220Z","submitted_at":"2025-01-14T02:19:21Z","title":"Residually finite amenable groups that are not Hilbert-Schmidt stable"},"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 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2501.07791."}