{"as_of":"2026-08-15T11:22:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4f9713f7770c279c5a3a004a560c5f16d5c121a0968baf2c0b9fe0eb5d2435cb","coverage":[{"denominator":61,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":61,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T22:45:05.781973Z","state":"measured"},{"denominator":61,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":61,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2501.01079/citation-record","integrity":"/paper/2501.01079/integrity","json":"/paper/2501.01079/citation-record.json","paper":"/paper/2501.01079"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:07.162828Z","title":"Norms of structured random matrices","venue":null,"work_id":"87e14c1d-e736-43d2-b82e-8261464d24f4","year":2024},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.440971Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:0c38315a03530035dccf75200d13cb10cf6563097f1157c36be372457fc123ba","observation_id":"d8e57abd-03c4-4e48-93dd-66bfafac76ef","resolution":{"observed_at":"2026-08-10T22:45:07.168254Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:07.145178Z","title":"The stability–complexity relationship at age 40: a random matrix perspective","venue":null,"work_id":"54b64776-ea04-4eb0-9afa-638801eeb4bd","year":2015},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.446961Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:7df8e8617deb7434edcf0de43580285a237f5dc394330060e6f085624aa32797","observation_id":"47f7e0f7-6960-42fd-8559-863d71d4eb32","resolution":{"observed_at":"2026-08-10T22:45:07.151204Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:07.125375Z","title":"Spectral radius of random matri- ces with independent entries","venue":null,"work_id":"1e5bcc90-3357-4484-a4aa-131b03c53e65","year":2021},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.452628Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:82d3e939370a982d4bc8355bbe3328921a40f636693f03358e0f97bc9e293026","observation_id":"4f9e5048-9e12-4df4-b469-aea42820dc98","resolution":{"observed_at":"2026-08-10T22:45:07.132240Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:07.106604Z","title":"Local inhomogeneous circular law","venue":null,"work_id":"3465668f-35e9-4f32-a701-983921e2d773","year":2018},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.457727Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:c184e3f37635f2d5f41d33ca6bc8ef94d768a7deff27c5775672380f76f09e93","observation_id":"8c810f84-d629-4246-9bd8-f8c8a890540b","resolution":{"observed_at":"2026-08-10T22:45:07.111856Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:07.085320Z","title":"The Dyson equation with linear self-energy: spectral bands, edges and cusps","venue":null,"work_id":"87bd86d4-a1ec-4f2d-90b5-547b20f33b6f","year":2020},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.462795Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:3b2a12b5e802042beecd2d65abde93450c37a2d033ded74673c1c18e88372495","observation_id":"93c9303b-9d14-4a3d-8da8-cd778a65b002","resolution":{"observed_at":"2026-08-10T22:45:07.091919Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.07852","last_updated":"2024-01-25T16:21:37Z","snapshot_observed_at":"2026-08-13T20:10:39.868593Z","submitted_at":"2024-01-15T17:27:19Z","title":"On spectral outliers of inhomogeneous symmetric random matrices","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.07852","snapshot_observed_at":"2026-08-10T22:45:05.468281Z","title":"On spectral outliers of inhomogeneous symmetric random matrices","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.468281Z"},"links":{"cited_paper":"/paper/2401.07852","citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:5604d36ca9017d1a252540e8e44cbe16001168ddf61ba64bc9ffaa9d98ed8a84","observation_id":"4644d763-ad64-481b-9d69-a4fc445c6668","resolution":{"observed_at":"2026-08-10T22:45:05.468281Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:07.062367Z","title":"Law of large numbers for the spectral radius of ran- dom matrix products","venue":null,"work_id":"c912b230-5872-4eee-9cca-7d9560916b66","year":2021},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.474530Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:4728dd48a442caffd690c87a89a8275e8edba7d3e7dcb4fd024afa6bdf9f6b88","observation_id":"becf301a-6633-4e13-95d8-3904e3201d71","resolution":{"observed_at":"2026-08-10T22:45:07.070374Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:07.037485Z","title":"Limiting behavior of the norm of products of random matrices and two problems of Geman-Hwang","venue":null,"work_id":"7ce110b4-2fd6-4055-b443-038f3013f817","year":1986},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.479329Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:6502174d0fbc97f06fc98327e2afa83761bff761daa414e6515ba45151ac3032","observation_id":"53ed1168-b26e-4a05-8009-8f31b46ca853","resolution":{"observed_at":"2026-08-10T22:45:07.046436Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:07.011482Z","title":"Matrix concen- tration inequalities and free probability","venue":null,"work_id":"3bfd8c1e-643c-4372-97c4-3ccdba585b09","year":2023},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.484525Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:7409890001d260be970946a743e5f10c337400e6762efba8c9bc9257f1ffedaf","observation_id":"f645e5bd-edb8-4f86-aef7-d9c266ff3b20","resolution":{"observed_at":"2026-08-10T22:45:07.018110Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.992865Z","title":"Sharp nonasymptotic bounds on the norm of random matrices with independent entries","venue":null,"work_id":"b0c21f10-eca4-456c-88bd-c0687c7c9fd1","year":2016},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.489690Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:10f6cb69aaaa03def8b300eff653c5a339c0108d4370651a0a2581a170ecc6cf","observation_id":"fce94093-8599-4c2d-ae1b-d42e8404ce34","resolution":{"observed_at":"2026-08-10T22:45:06.999006Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.974024Z","title":"The circular law for sparse non-Hermitian ma- trices","venue":null,"work_id":"3bf129a5-7feb-4a4d-8eb5-f971003877d4","year":2019},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.494903Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:4869e150b1f785714c4d02ee9b7780b2adb70d56764a9cf6d95248a0dabfd8a1","observation_id":"234a3186-7591-4d4b-9939-2249d51c213f","resolution":{"observed_at":"2026-08-10T22:45:06.980894Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.955078Z","title":"Spectral radii of sparse random matrices","venue":null,"work_id":"2e0e4617-1389-4e73-bd8c-65c45e8ffdb2","year":2020},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.500800Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:55edd76e71caf7cb136f21aca95cfd01722e324a7580304756f50aee46a0ac27","observation_id":"aeaa6267-2813-4a5c-9a0b-02abdca5a59f","resolution":{"observed_at":"2026-08-10T22:45:06.960789Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.935793Z","title":"Convergence of the spec- tral radius of a random matrix through its characteristic polynomial","venue":null,"work_id":"e8ca8f60-fc37-4198-b587-ec6571da3258","year":2021},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.506945Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:4d9b5d2754ae500a9a75896ecdd73858b2783dc13c7f6257066e44b8d5a79fd7","observation_id":"ee7ddcab-f5b7-46a5-9937-a9e92825ff0f","resolution":{"observed_at":"2026-08-10T22:45:06.942110Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.915782Z","title":"On the spectral radius of a random matrix: an upper bound without fourth mosment","venue":null,"work_id":"17528751-7a00-4966-88d3-1ff4712154c0","year":2018},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.511714Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:8d65df4fa8827e86a12f3076f4ff2a63a6cb93759904fc8f3f206c0a9080ad9d","observation_id":"82a0fa10-a0a1-41f0-975d-4e0061c3c215","resolution":{"observed_at":"2026-08-10T22:45:06.922581Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.893800Z","title":"Random band matrices","venue":null,"work_id":"36e01ffc-427a-4129-9e03-09284392100f","year":2018},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.516437Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:934f482e84e4e10c034beeb76bbef5de07b15af8d87b96fa62b0448cbd507756","observation_id":"ce8958ae-aed1-4e2e-abb0-8327b469bc3c","resolution":{"observed_at":"2026-08-10T22:45:06.901769Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.06284","last_updated":"2025-03-19T21:02:05Z","snapshot_observed_at":"2026-08-13T04:44:16.459498Z","submitted_at":"2024-01-11T22:47:55Z","title":"Extremal random matrices with independent entries and matrix superconcentration inequalities","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.06284","snapshot_observed_at":"2026-08-10T22:45:05.522660Z","title":"Extremal random matrices with in- dependent entries and matrix superconcentration inequalities","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.522660Z"},"links":{"cited_paper":"/paper/2401.06284","citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:e8d59de78ed354a20587058eea3b282bf81f106f7b88f1a23a8a0837bb8587ec","observation_id":"0541ea56-afe2-4508-95df-f4bb78c8e617","resolution":{"observed_at":"2026-08-10T22:45:05.522660Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.16223","last_updated":"2023-01-12T13:38:25Z","snapshot_observed_at":"2026-08-14T18:12:42.456101Z","submitted_at":"2022-11-29T14:00:14Z","title":"Progress on the study of the Ginibre ensembles I: GinUE","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.16223","snapshot_observed_at":"2026-08-10T22:45:05.528448Z","title":"Progress on the study of the Ginibre ensembles I: GinUE","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.528448Z"},"links":{"cited_paper":"/paper/2211.16223","citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:4ff611d0e8028877b3b2cd81482d14392631ea62506d8bbb0dbc0417adb0f064","observation_id":"f37e2fcf-cc3b-4830-ad4e-b225063dd7ed","resolution":{"observed_at":"2026-08-10T22:45:05.528448Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.17512","last_updated":"2025-07-11T15:30:25Z","snapshot_observed_at":"2026-08-13T00:20:44.547859Z","submitted_at":"2024-04-26T16:27:24Z","title":"On the spectral edge of non-Hermitian random matrices","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.17512","snapshot_observed_at":"2026-08-10T22:45:05.534664Z","title":"On the spectral edge of non-Hermitian random matrices","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.534664Z"},"links":{"cited_paper":"/paper/2404.17512","citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:5051946a1b4b5fdd0aa7265951351dba48740b410fcc080f1535c36a01635f11","observation_id":"e345618b-897f-4321-9eba-e84318902b76","resolution":{"observed_at":"2026-08-10T22:45:05.534664Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.873242Z","title":"Eigenvector statistics in non-Hermitian ran- dom matrix ensembles","venue":null,"work_id":"ceca84ed-85f4-4de1-99fd-7e0772c67768","year":1998},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.540150Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:b074809eec37b6a4ea39da92368b599fbc16e4875f18515df225ba7d1081736f","observation_id":"3cf63570-06d7-4b03-8bdd-ff9c8405c448","resolution":{"observed_at":"2026-08-10T22:45:06.878780Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:05.545622Z","title":"Universality of extremal eigen- values of large random matrices","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.545622Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:f3f1a7eab645f6fd3f822594b03089211b1780578066f76a7a043ce8c845c9f7","observation_id":"ddc2cb01-8997-4738-9b42-f9569a33fd7a","resolution":{"observed_at":"2026-08-10T22:45:05.545622Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.853890Z","title":"Lower bounds for the smallest singular value of structured random matrices","venue":null,"work_id":"759fe9e5-0ce4-453a-83cf-fdc2001283a0","year":2018},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.554639Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:3f430a9b37c2f9940a02ec6b381f430179fd6a927aa6ac70ebcc2fde591126bc","observation_id":"e155f6ac-9e3f-4ff7-b92d-37ec18a3819b","resolution":{"observed_at":"2026-08-10T22:45:06.860002Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.823459Z","title":"Non-Hermitian random matrices with a variance profile (I): deterministic equivalents and limiting ESDs","venue":null,"work_id":"7d286133-4cd5-497c-9ff6-71522d0012ce","year":2018},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.560246Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:c39918d72d6124a57636e3a01851a3e2007c4e7398f9c1a586497ae6c2c7039c","observation_id":"9f8153e8-909f-49f0-9b4a-5369b4c16149","resolution":{"observed_at":"2026-08-10T22:45:06.829912Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.802742Z","title":"Sparse matrices: convergence of the characteristic polynomial seen from infinity","venue":null,"work_id":"5260de61-027f-4b9d-a4f8-6a10bd818850","year":2023},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.568154Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:75688da119c2a95bee3ec0c1a6b662e553fdcbc14ae5fa0faa726c43b6bd2fcd","observation_id":"7f0f0136-a431-44a1-b33e-7b6855d7d5dc","resolution":{"observed_at":"2026-08-10T22:45:06.808740Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.785554Z","title":"Outliers in the spectrum for prod- ucts of independent random matrices","venue":null,"work_id":"f5e4d804-8e90-4c88-96f6-797195aefece","year":2017},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.574355Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:c4cc257bce942aa210e64ee17e3ff974dc01a48b38435adb1831b4262c369f96","observation_id":"09701022-b286-4bff-a153-06777598008c","resolution":{"observed_at":"2026-08-10T22:45:06.791185Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.766818Z","title":"Power law decay for systems of randomly coupled differential equations","venue":null,"work_id":"7dc10891-fb78-4b62-98d9-49e2ddb35e14","year":2018},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.581367Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:37b86df9d5dac4258c9b61e6a3859b20f0ce8343e4ba8d2b7b53ec91c9770a1e","observation_id":"6ada5050-fef4-417f-8618-7b50e9813ff5","resolution":{"observed_at":"2026-08-10T22:45:06.772869Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.749044Z","title":"Quantum diffusion and delocalization for band matrices with general distribution","venue":null,"work_id":"b17b3ee3-f6c2-443d-a967-78ee6d3e5652","year":2011},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.588039Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:f7c8392d85c4bb020441d5033b2f8a0dcfa143e4c53f4236ed3ad3adf3c29756","observation_id":"cbbd6231-2af4-4296-b877-e2d9ef190a49","resolution":{"observed_at":"2026-08-10T22:45:06.754171Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.732293Z","title":"Randomly coupled differential equations with elliptic correlations","venue":null,"work_id":"b2100439-dead-4527-9bae-7c63039336ce","year":2023},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.595216Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:cf8b9f9fb96639b10039f937ef3a202fbe5067baef304e5c7c7ed6732dc239bd","observation_id":"3242778b-f9cc-41fe-a9eb-d646e99efecd","resolution":{"observed_at":"2026-08-10T22:45:06.737468Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.714309Z","title":"A universality result for the smallest eigenvalues of certain sample covariance matrices","venue":null,"work_id":"f5d09b78-df3a-419a-b3a4-44d9163a86bb","year":2010},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.600324Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:3ee6eddcf3e80d8ecd361f16d1fa2836b158ff80fc9757b8319d87db2fd3137b","observation_id":"551c6fdb-3ed8-4f49-9d92-d8c27f12f1b1","resolution":{"observed_at":"2026-08-10T22:45:06.720212Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.693891Z","title":"The spectral radius of large random matrices","venue":null,"work_id":"1c1b8942-5365-425f-9123-dee564b9aacf","year":1986},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.605650Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:37e46a00bd86e87495a99d18e35271c26d1c4835c1e01b7d24b0368275917cf0","observation_id":"5c5237fc-45ba-472e-8d66-2af005839c99","resolution":{"observed_at":"2026-08-10T22:45:06.701472Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.676434Z","title":"What drives transient behavior in complex systems?","venue":null,"work_id":"69052650-d7e8-405f-afa3-c9d9fe09a695","year":2017},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.610785Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:2202d984fd0a85cca781b961e24eed4787d117b74a8e114198f27dc50bd986bc","observation_id":"d4d80a60-7dd7-422b-9df8-51fa63f2a379","resolution":{"observed_at":"2026-08-10T22:45:06.682598Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.659117Z","title":"From synaptic interactions to collective dynamics in random neuronal networks models: critical role of eigenvectors and transient behav- ior","venue":null,"work_id":"9d21db67-795b-471b-84dc-1ef8738d1113","year":2020},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.616371Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:75208990a741245965c9f0701b10c69eecb7a12f168a4bca516e068f3559297f","observation_id":"37872193-02bb-41a3-a4f2-6e0a71a2b5c4","resolution":{"observed_at":"2026-08-10T22:45:06.665047Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2007.10181","last_updated":"2020-07-20T15:13:18Z","snapshot_observed_at":"2026-07-06T09:40:16.360706Z","submitted_at":"2020-07-20T15:13:18Z","title":"Mixed Moments for the Product of Ginibre Matrices","version":1},"cited_work":{"arxiv_id":"2007.10181","doi":null,"metadata_source":"pith","pith_arxiv_id":"2007.10181","snapshot_observed_at":"2026-08-10T22:45:06.032532Z","title":"Mixed Moments for the Product of Ginibre Matrices","venue":"math-ph","work_id":"89bb732d-1918-4865-acfe-88801bd23042","year":2020},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.621649Z"},"links":{"cited_paper":"/paper/2007.10181","citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:855e66fbad791b0b596744d43c5f93691865d3d606c61fa75d2be201a849b15c","observation_id":"9e93cf46-c3dc-4ebe-bc65-a499388a016c","resolution":{"observed_at":"2026-08-10T22:45:06.039115Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.00567","last_updated":"2026-08-05T15:26:53Z","snapshot_observed_at":"2026-08-08T23:12:33.041530Z","submitted_at":"2024-08-01T13:57:42Z","title":"Outliers and bounded rank perturbation for non-Hermitian random band matrices","version":3},"cited_work":{"arxiv_id":"2408.00567","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.00567","snapshot_observed_at":"2026-08-10T22:45:06.003235Z","title":"Outliers and bounded rank perturbation for non-Hermitian random band matrices","venue":"math.PR","work_id":"99b666c3-200f-4499-930b-26d2eed5a29e","year":2024},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.628232Z"},"links":{"cited_paper":"/paper/2408.00567","citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:c3bc810ddb75ccc9cb72f676a935b79dc255878f0a486faada7077162f6c2540","observation_id":"86de15ac-4d9e-47a6-8d36-a3ba923ba59c","resolution":{"observed_at":"2026-08-10T22:45:06.012325Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:05.633897Z","title":"The circular law for random band matrices: improved bandwidth for general models","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.633897Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:e3b0c8f58235eed6b2e7df5aa840979def22178fe0bcddebaeab1dc43feca8b5","observation_id":"7cce7c17-c819-42e8-8e57-846a75d991e3","resolution":{"observed_at":"2026-08-10T22:45:05.633897Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.04723","last_updated":"2026-07-24T05:57:23Z","snapshot_observed_at":"2026-08-13T12:05:33.119068Z","submitted_at":"2023-04-10T17:35:06Z","title":"Edge universality of sparse Erd\\H{o}s-R\\'enyi digraphs","version":6},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.04723","snapshot_observed_at":"2026-08-10T22:45:05.639249Z","title":"Edge universality of sparse Erd \\H {o} sR\\’enyi digraphs","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.639249Z"},"links":{"cited_paper":"/paper/2304.04723","citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:b481d99d85b9e46a352bb650d4d5cea68acf0efb26d82ecb1a32939cc602632c","observation_id":"f41a3017-4b9d-48a7-8d0b-2af9a568ab28","resolution":{"observed_at":"2026-08-10T22:45:05.639249Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.642739Z","title":"Operator-valued semicir- cular elements: solving a quadratic matrix equation with positivity constraints","venue":null,"work_id":"f9b9e91d-66b4-404d-9857-9e315ad257b3","year":2007},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.645087Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:a3fd7e3bd99419b44c6cbb81a1cda10a00a8fb172f83cf1f55734c4e058bea04","observation_id":"be9c8413-f83c-4cbe-a6e4-4e8a8a5865f3","resolution":{"observed_at":"2026-08-10T22:45:06.648043Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.624617Z","title":"Optimal control of transient dynamics in balanced networks supports generation of complex movements","venue":null,"work_id":"16380f2b-be3d-4899-a138-d4c1060f86b9","year":2014},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.650198Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:45601ff57f7db94675be9413a6e63019a926513e9ae02abf751f3e5b96211448","observation_id":"3c41688c-4fac-45dd-8bac-a121e1e7fe50","resolution":{"observed_at":"2026-08-10T22:45:06.629443Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.603955Z","title":"Enumeration of non-crossing pairings on bit strings","venue":null,"work_id":"05edcb82-e678-4827-b494-750426aeefc5","year":2011},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.655296Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:3e053788ece87784b3d2b563981ba0e6fb7c403648592180859da33f417675e1","observation_id":"9801040b-8faf-47f3-aa50-a59f88103b79","resolution":{"observed_at":"2026-08-10T22:45:06.609532Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.586748Z","title":"The dimension-free struc- ture of nonhomogeneous random matrices","venue":null,"work_id":"d1dce5e7-838d-43ce-b7c7-5651249a2f50","year":2018},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.661258Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:f2ed97cc552a6dac9375ebeaed187c3a24e5d561ceb389c9db103459f50160c5","observation_id":"15e0d855-68bd-4450-bd0b-21558f5134cd","resolution":{"observed_at":"2026-08-10T22:45:06.592504Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.570089Z","title":"Computing norms of free operators with matrix coefficients","venue":null,"work_id":"0020e0e7-8f9a-491d-8229-812234175089","year":1999},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.667359Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:f1005d25f562eba05726843a857a9fee6abe1437b906dcc9ad35792aa72ec0f8","observation_id":"788bdc8e-227a-4e51-8a63-0792edb9f743","resolution":{"observed_at":"2026-08-10T22:45:06.575499Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.553313Z","title":"Will a large complex system be stable?","venue":null,"work_id":"a4b0a23d-6df0-4250-8905-4ac30f237827","year":1972},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.672500Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:3746e656aa984914b6ac3c79f3d65285db58a263134107ed2b540de6eef0787b","observation_id":"1ccabd11-d598-4cfc-bd84-a218032167db","resolution":{"observed_at":"2026-08-10T22:45:06.558980Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.534047Z","title":"Eigenspectrum bounds for semirandom matrices with modular and spatial structure for neural networks","venue":null,"work_id":"edbc9308-d6ab-42f4-8af3-36e79bdce894","year":2015},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.677668Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:cfad029b51a118e56e4974fb784d1c082cc0e8622b5f71d5896adc9404a8422a","observation_id":"13988458-6a54-42c5-90e3-391c01742956","resolution":{"observed_at":"2026-08-10T22:45:06.539399Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.516878Z","title":"Lectures on the combinatorics of free probability","venue":null,"work_id":"98b67143-6001-420e-b077-70c8178d9d90","year":2006},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.682734Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:bcef400a0f6f3b5679142f144ccd0a5a49afa692227ec5148ad51641ac38b642","observation_id":"6e907a7f-b4c9-4deb-817d-08a27657f5a1","resolution":{"observed_at":"2026-08-10T22:45:06.522451Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.500333Z","title":"Products of independent elliptic random matrices","venue":null,"work_id":"0d3ecd5d-4aa0-44a1-b0ef-9b601876ffcf","year":2015},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.688005Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:b4ff5a832655dab74f11b777448fa39d17a74cb7e96adb162ce7f9363d63a034","observation_id":"cc3d5bdf-6ee5-4ecd-9ee3-3b9c90e1f7f3","resolution":{"observed_at":"2026-08-10T22:45:06.505374Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.484354Z","title":"Wigner random matrices with non-symmetrically distributed entries","venue":null,"work_id":"9cd270dd-fe90-4e35-b92a-a2e187db55fd","year":2007},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.693493Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:a1ba4343219b69155fd3c43436f73fddceb89e0512785cd234484a6f665f37f6","observation_id":"cd71acad-5dd9-41da-b0d5-9683d999b24a","resolution":{"observed_at":"2026-08-10T22:45:06.489660Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.464095Z","title":"Eigenvalue spectra of random matrices for neural networks","venue":null,"work_id":"3943f9ce-65db-4d1f-9139-2bdd6242140a","year":2006},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.700224Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:e50d0bca4ff8d6d66ac3f9166e8af300ad263c3ff70b4abbbbffaa3d6f770165","observation_id":"6e4c56d7-e8e3-4a9c-a064-cacf8dd4cd0c","resolution":{"observed_at":"2026-08-10T22:45:06.472086Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.446135Z","title":"A limit theorem at the edge of a non-Hermitian random matrix ensemble","venue":null,"work_id":"500ce77c-03b8-4b07-a9ac-411502afe2d9","year":2003},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.705701Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:213eb2240d05e06f3dbbf3540de476ed04fa5cb6d0a2653587345dcb27342f7d","observation_id":"95bfc6c5-716a-49d4-9549-6b1ca0b830b5","resolution":{"observed_at":"2026-08-10T22:45:06.451635Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.428451Z","title":"Extremal laws for the real Ginibre ensem- ble","venue":null,"work_id":"daef1004-6660-40f9-a221-e0151826d551","year":2014},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.712037Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:4bd126ab3495998532d13846ea2e62bfa24a739af7828e29915fa772f1f77f5f","observation_id":"33d166c0-0a99-4a21-a9fb-b935ba7ab045","resolution":{"observed_at":"2026-08-10T22:45:06.433987Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.411390Z","title":"The sparse circular law under minimal assumptions","venue":null,"work_id":"9d116c47-a4f0-40f7-b9b5-fdfd27db9b0f","year":2019},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.719313Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:7ea12a986cb8ca5535b6879642bb796a37bc7f87f257b739a42c946dc24afbcb","observation_id":"53849f2d-c102-4e3e-ab1c-870dacb85de2","resolution":{"observed_at":"2026-08-10T22:45:06.416488Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.395141Z","title":"Central limit theorem for traces of large random sym- metric matrices with independent matrix elements","venue":null,"work_id":"04ea783a-22d6-4c6c-baf3-712dbf27fe76","year":1998},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.724345Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:5188e9232bdc17b827a42cea4acfd8e7169ab6edd6d859e1c01059f8851820a4","observation_id":"44050ea7-ac64-4c2c-b586-889fc2dda265","resolution":{"observed_at":"2026-08-10T22:45:06.400174Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.379413Z","title":"A refinement of Wigner’s semicircle law in a neighborhood of the spectrum edge for random symmetric matrices","venue":null,"work_id":"69206949-79b3-445f-9ff0-052ea93e86cf","year":1998},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.729560Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:f66a849bb3dc389f196fd718b30df33bf57629335a132f7d16f3ef20ec751c74","observation_id":"80402c18-8efb-4ef4-886b-be16f943d685","resolution":{"observed_at":"2026-08-10T22:45:06.384325Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.363198Z","title":"The spectral edge of some random band matrices","venue":null,"work_id":"f71bff96-40e0-4f5e-ab74-17b769e2a526","year":2010},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.734623Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:199f2912df6e2c0a15aa008176664f85cbe1b7b9f7402d20b4e6ccb8939bdcee","observation_id":"43fb4601-ad22-4f86-9fe0-faf789d1bdf8","resolution":{"observed_at":"2026-08-10T22:45:06.368218Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.346557Z","title":"Chaos in random neural networks","venue":null,"work_id":"ebb3e6cf-3c42-4420-b8ee-141a4148016e","year":1988},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.739230Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:d199d10b8a66bcced1222e87139b2fb148aa8eb396857e99335100bb654071a6","observation_id":"1ced7aa9-195c-4457-81e6-2df166243b4c","resolution":{"observed_at":"2026-08-10T22:45:06.351897Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.326364Z","title":"Universality at the Edge of the Spectrum in Wigner Random Matrices","venue":null,"work_id":"8dc26bb5-2de4-4cd5-993e-7bade3797dfa","year":1999},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.744122Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:b1ad202f5512348086ec5cf57349513a48dfadf19c6ad002529cd30e09d5066c","observation_id":"a2dca337-cf09-468c-a71c-1be01c91f9c5","resolution":{"observed_at":"2026-08-10T22:45:06.331518Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.307181Z","title":"An introduction to the theory of large deviations","venue":null,"work_id":"83dbd868-94a3-4e57-aea1-2e459c2fdb0c","year":2012},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.749191Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:3da041d513bab5f341cf1b2655c2df0b0761d35b26e0f73a6e4e96b859f7fe6c","observation_id":"5100eb98-1903-4b1c-a0ef-b2408df5e479","resolution":{"observed_at":"2026-08-10T22:45:06.313671Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.287258Z","title":"Random matrices: universality of ESDs and the circular law","venue":null,"work_id":"e30a78ef-003e-4caf-99d4-9741f501a64f","year":2010},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.753797Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:8314288f339ff3526dab42485b63c5316da925c3e63f7f3b87c50bf225ac3d98","observation_id":"fa4207df-17dc-4b81-8089-14064d9f0c01","resolution":{"observed_at":"2026-08-10T22:45:06.294141Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2307.08211","last_updated":"2023-07-24T22:09:10Z","snapshot_observed_at":"2026-08-13T10:54:31.956783Z","submitted_at":"2023-07-17T03:01:35Z","title":"On pseudospectrum of inhomogeneous non-Hermitian random matrices","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2307.08211","snapshot_observed_at":"2026-08-10T22:45:05.759008Z","title":"On pseudospectrum of inhomogeneous non-Hermitian ran- dom matrices","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.759008Z"},"links":{"cited_paper":"/paper/2307.08211","citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:86a660d93ab9cd391c20fb722a9fecc7a7b3f49f654593f6a4c91fc54150b8f7","observation_id":"c8c8b06a-7f3c-4ecb-83bc-a9fcb8ff6557","resolution":{"observed_at":"2026-08-10T22:45:05.759008Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.267877Z","title":"On the spectral norm of Gaussian random matrices","venue":null,"work_id":"75b37081-352b-4ce5-8aa1-97f55ff29e02","year":2017},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.765573Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:8ea8c6955173d752aaa5531191e90807af21840fb618c8feeed7634b6e60b3d8","observation_id":"5914fa17-485a-4019-a3d1-7dddd16f1510","resolution":{"observed_at":"2026-08-10T22:45:06.272830Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.250404Z","title":"Structured random matrices","venue":null,"work_id":"3356f0aa-0a18-43c8-a400-a0de75289231","year":2017},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.771166Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:9f04b927ba09ba2c96542453718722726ae52951effb3b817b07c2434c679181","observation_id":"edcb5c24-fc03-40ca-9997-b2ce7664e6bd","resolution":{"observed_at":"2026-08-10T22:45:06.255743Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:05.776519Z","title":"High-dimensional probability: An introduction with applications in data science","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.776519Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:401a6f0a16e6315deb8b56812a1c0734fd2aae0d8cabb713e326c7c10fad268a","observation_id":"cea7363f-e0ce-4c53-b040-0194280b9a17","resolution":{"observed_at":"2026-08-10T22:45:05.776519Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:45:06.218771Z","title":"Universality and the circular law for sparse random matrices","venue":null,"work_id":"b91dfafa-475e-4315-8f47-976086d6236b","year":2012},"citing_paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-10T22:45:05.781973Z"},"links":{"citing_paper":"/paper/2501.01079"},"observation_digest":"sha256:14ab6d63d36f470ac95905be505e0e5850ee45b01486a2fb5f4a27d8d2f9270c","observation_id":"b52e5fd8-5d9e-419e-866b-eee87dd6cb5e","resolution":{"observed_at":"2026-08-10T22:45:06.223992Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.01079","last_updated":"2025-08-07T04:23:52Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-13T20:10:52.656421Z","submitted_at":"2025-01-02T05:53:36Z","title":"Spectral radius concentration for inhomogeneous random matrices with independent entries"},"reference_resolution":{"displayed":61,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":9,"verified_exact":2,"verified_fuzzy":50},"total_outbound_references":61},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 0 inbound Pith citation observations for arXiv:2501.01079."}