{"as_of":"2026-08-20T23:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:15536f1bd1739a42e56ded10168164644ac8d4cbc12b66105d306d5bcb764454","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":"2026-08-20T06:33:59.587034+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":"2026-08-15T18:00:34.690971Z","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":"2026-07-10T13:17:05.956124Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2204.12087","last_updated":"2024-07-22T19:24:24Z","snapshot_observed_at":"2026-08-16T17:04:36.206664Z","submitted_at":"2022-04-26T05:56:44Z","title":"Optimal Network Membership Estimation Under Severe Degree Heterogeneity","version":2},"cited_work":{"arxiv_id":"2204.12087","doi":null,"metadata_source":"pith","pith_arxiv_id":"2204.12087","snapshot_observed_at":"2026-07-10T13:17:05.956124Z","title":"Signed diverse multiplex networks: C lustering and inference","venue":"math.ST","work_id":"4784e0f2-41d8-4f67-bdb2-ff8487ae8a28","year":2022},"citing_paper":{"arxiv_id":"2411.11728","last_updated":"2026-08-14T21:09:46Z","snapshot_observed_at":"2026-08-20T23:09:00.489094Z","submitted_at":"2024-11-18T16:58:35Z","title":"Davis-Kahan Theorem in the two-to-infinity norm and its application to perfect clustering","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-23T17:02:30.393932Z"},"links":{"cited_paper":"/paper/2204.12087","citing_paper":"/paper/2411.11728"},"observation_digest":"sha256:fae014280c4eab65188308c67b80c0efd9c689f7c57b0b6c1f687125474b0401","observation_id":"b1784aa6-5b06-438a-9f84-a94f72ed8cb9","resolution":{"observed_at":"2026-05-23T17:03:12.370376Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2204.12087","last_updated":"2024-07-22T19:24:24Z","snapshot_observed_at":"2026-08-16T17:04:36.206664Z","submitted_at":"2022-04-26T05:56:44Z","title":"Optimal Network Membership Estimation Under Severe Degree Heterogeneity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.12087","snapshot_observed_at":"2026-08-15T18:00:34.690971Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.19423","last_updated":"2025-07-25T16:43:42Z","snapshot_observed_at":"2026-08-17T11:49:17.724700Z","submitted_at":"2025-07-25T16:43:42Z","title":"Perfect Clustering in Very Sparse Diverse Multiplex Networks","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-15T18:00:34.690971Z"},"links":{"cited_paper":"/paper/2204.12087","citing_paper":"/paper/2507.19423"},"observation_digest":"sha256:5c6fbf6b6c15fab79d24826bdaafd1e9c8a67e56d0e9c637d3e8198fabf1a494","observation_id":"cc3fe704-1a78-4784-8fbe-95d271c28442","resolution":{"observed_at":"2026-08-15T18:00:34.690971Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2204.12087","last_updated":"2024-07-22T19:24:24Z","snapshot_observed_at":"2026-08-16T17:04:36.206664Z","submitted_at":"2022-04-26T05:56:44Z","title":"Optimal Network Membership Estimation Under Severe Degree Heterogeneity","version":2},"cited_work":{"arxiv_id":"2204.12087","doi":null,"metadata_source":"pith","pith_arxiv_id":"2204.12087","snapshot_observed_at":"2026-07-10T13:17:05.956124Z","title":"Signed diverse multiplex networks: C lustering and inference","venue":"math.ST","work_id":"4784e0f2-41d8-4f67-bdb2-ff8487ae8a28","year":2022},"citing_paper":{"arxiv_id":"2607.08089","last_updated":"2026-07-30T16:25:54Z","snapshot_observed_at":"2026-08-20T08:19:41.867869Z","submitted_at":"2026-07-09T03:50:10Z","title":"Bias-Corrected Multiplier Bootstrap Inference for Spectral Edges of Large Covariance Matrices","version":1},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-07-10T13:16:25.371946Z"},"links":{"cited_paper":"/paper/2204.12087","citing_paper":"/paper/2607.08089"},"observation_digest":"sha256:04dd0899a5455a8740017ba3738b2ce3ad4016e95de93606e8e58ed0acd10a8d","observation_id":"f763ce36-fc8c-414b-ab21-835683855c5c","resolution":{"observed_at":"2026-07-10T13:17:05.957449Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2204.12087/citation-record","integrity":"/paper/2204.12087/integrity","json":"/paper/2204.12087/citation-record.json","paper":"/paper/2204.12087"},"outbound":[],"paper":{"arxiv_id":"2204.12087","last_updated":"2024-07-22T19:24:24Z","latest_version":2,"primary_category":"math.ST","snapshot_observed_at":"2026-08-16T17:04:36.206664Z","submitted_at":"2022-04-26T05:56:44Z","title":"Optimal Network Membership Estimation Under Severe Degree Heterogeneity"},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2204.12087."}