{"as_of":"2026-08-19T06:59:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:01c3a80139b79782f306574719aaf139418b23261c392aa275607673fb83eb47","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":"2026-08-19T06:32:44.657259+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":"2026-08-15T18:00:11.239361Z","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":"2026-08-10T23:19:40.149367Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2405.12161","last_updated":"2024-05-20T16:42:41Z","snapshot_observed_at":"2026-08-19T00:12:27.558586Z","submitted_at":"2024-05-20T16:42:41Z","title":"Optimal Eigenvalue Rigidity of Random Regular Graphs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.12161","snapshot_observed_at":"2026-08-12T05:29:45.934826Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.00593","last_updated":"2026-06-06T17:55:42Z","snapshot_observed_at":"2026-08-18T02:34:51.293075Z","submitted_at":"2024-11-30T21:42:41Z","title":"A new approach to strong convergence II. The classical ensembles","version":3},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-12T05:29:45.934826Z"},"links":{"cited_paper":"/paper/2405.12161","citing_paper":"/paper/2412.00593"},"observation_digest":"sha256:82f726b603d699776172321e954cb4c8c79f49c086453b9cf8de692e103b2b32","observation_id":"257bd02f-52a3-43cf-85f4-47caac9aa992","resolution":{"observed_at":"2026-08-12T05:29:45.934826Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.12161","last_updated":"2024-05-20T16:42:41Z","snapshot_observed_at":"2026-08-19T00:12:27.558586Z","submitted_at":"2024-05-20T16:42:41Z","title":"Optimal Eigenvalue Rigidity of Random Regular Graphs","version":1},"cited_work":{"arxiv_id":"2405.12161","doi":null,"metadata_source":"pith","pith_arxiv_id":"2405.12161","snapshot_observed_at":"2026-08-10T23:19:40.149367Z","title":"Optimal Eigenvalue Rigidity of Random Regular Graphs","venue":"math.PR","work_id":"eaa58ba0-8092-4c47-a739-c47c0b63400f","year":2024},"citing_paper":{"arxiv_id":"2412.20721","last_updated":"2024-12-30T05:41:52Z","snapshot_observed_at":"2026-08-13T11:44:17.224732Z","submitted_at":"2024-12-30T05:41:52Z","title":"Ramanujan Graphs and Interlacing Families","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-10T23:19:39.991415Z"},"links":{"cited_paper":"/paper/2405.12161","citing_paper":"/paper/2412.20721"},"observation_digest":"sha256:78b564d6b4a9df039d8672fc1221444f0ac146ae317b3e860da463e30a2ce091","observation_id":"2b7821e0-609d-4b9b-a096-67c8c6f1ed4b","resolution":{"observed_at":"2026-08-10T23:19:40.153939Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.12161","last_updated":"2024-05-20T16:42:41Z","snapshot_observed_at":"2026-08-19T00:12:27.558586Z","submitted_at":"2024-05-20T16:42:41Z","title":"Optimal Eigenvalue Rigidity of Random Regular Graphs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.12161","snapshot_observed_at":"2026-08-15T18:00:11.239361Z","title":"Optimal eigenvalue rigidity of random regular graphs","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.19340","last_updated":"2025-07-25T14:50:07Z","snapshot_observed_at":"2026-08-18T13:43:55.349104Z","submitted_at":"2025-07-25T14:50:07Z","title":"Quantitative Tracy-Widom laws for sparse random matrices","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-15T18:00:11.239361Z"},"links":{"cited_paper":"/paper/2405.12161","citing_paper":"/paper/2507.19340"},"observation_digest":"sha256:ee0b1b14f129174386a40e950cd6940c5eff44b94cf054e63419108ff18261f0","observation_id":"ee5810d2-ec2a-45e5-80a1-0d6f4bd79ff7","resolution":{"observed_at":"2026-08-15T18:00:11.239361Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2405.12161/citation-record","integrity":"/paper/2405.12161/integrity","json":"/paper/2405.12161/citation-record.json","paper":"/paper/2405.12161"},"outbound":[],"paper":{"arxiv_id":"2405.12161","last_updated":"2024-05-20T16:42:41Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-19T00:12:27.558586Z","submitted_at":"2024-05-20T16:42:41Z","title":"Optimal Eigenvalue Rigidity of Random Regular Graphs"},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2405.12161."}