{"as_of":"2026-08-18T18:49:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:74ee735fa5808bf39f5342749749c91d381b27b84781ac770e8db6f5a2af628f","coverage":[{"denominator":32,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":32,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T16:46:07.682307Z","state":"measured"},{"denominator":33,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":33,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T12:41:48.154170Z","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":"2026-08-16T12:41:48.391881Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"cited_work":{"arxiv_id":"2502.06143","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.06143","snapshot_observed_at":"2026-08-16T12:41:48.391881Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","venue":"math.PR","work_id":"02603f0c-d7d1-4128-ab2f-fc4829110d9b","year":2025},"citing_paper":{"arxiv_id":"2504.12275","last_updated":"2025-04-16T17:35:02Z","snapshot_observed_at":"2026-08-18T12:39:26.088960Z","submitted_at":"2025-04-16T17:35:02Z","title":"The rank evolution of block bidiagonal matrices over finite fields","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-16T12:41:48.154170Z"},"links":{"cited_paper":"/paper/2502.06143","citing_paper":"/paper/2504.12275"},"observation_digest":"sha256:29b41056fc4d8f7008b0eb2ced1cdbc1abf2ca4c23a6acf87d9876e26da7bfc0","observation_id":"267ff963-4b3e-4957-a642-e5ec8aaf65c8","resolution":{"observed_at":"2026-08-16T12:41:48.399246Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2502.06143/citation-record","integrity":"/paper/2502.06143/integrity","json":"/paper/2502.06143/citation-record.json","paper":"/paper/2502.06143"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"1502.01667","last_updated":"2015-02-16T13:16:15Z","snapshot_observed_at":"2026-08-15T14:43:37.071293Z","submitted_at":"2015-02-05T18:19:28Z","title":"Recent exact and asymptotic results for products of independent random matrices","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1502.01667","snapshot_observed_at":"2026-08-08T16:46:07.539983Z","title":"Recent exact and asymp totic results for products of independent random matrices","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.539983Z"},"links":{"cited_paper":"/paper/1502.01667","citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:3e60bb677aad9c18b85a26fec46c455162d98aaadcc52d62f66c578ac64ce76a","observation_id":"d193623f-0eef-4ba1-8e15-b0de196b813d","resolution":{"observed_at":"2026-08-08T16:46:07.539983Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2305.06009","last_updated":"2023-05-10T09:34:40Z","snapshot_observed_at":"2026-08-16T15:34:13.510330Z","submitted_at":"2023-05-10T09:34:40Z","title":"Continuity of the Lyapunov exponents of random matrix products","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.06009","snapshot_observed_at":"2026-08-08T16:46:07.546046Z","title":"Continuity o f the lyapunov exponents of random matrix products","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.546046Z"},"links":{"cited_paper":"/paper/2305.06009","citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:cc8694674d697eb48405b506e987fc16f265f89fba01d28d402298b1619fa6b5","observation_id":"52bfa281-ff67-4b14-89ca-9a2760370338","resolution":{"observed_at":"2026-08-08T16:46:07.546046Z","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":"2026-08-08T16:46:08.300809Z","title":"Limit theorems for non-commutative op erations","venue":null,"work_id":"6aa4b7cf-8e21-4937-b704-2601ecff8a0e","year":1954},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.551348Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:40768fd0d2bbd6d77c2d288669c99b4559f8d18782c7432b829eefa0d3c9c179","observation_id":"f22f512b-26c5-4722-8438-939b8c52ee18","resolution":{"observed_at":"2026-08-08T16:46:08.305192Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-08T16:46:08.287160Z","title":"Macdonald processes, 20 13","venue":null,"work_id":"83a9ca14-fc8a-4ac7-94d8-438caa184edc","year":null},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.556548Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:63c51aaa0736864b6b0283a7d92c28946a17e3b3ed5d0a07733a8a56e3b0e2c5","observation_id":"8ec802f6-da64-4a84-a7ae-ddeccf17998c","resolution":{"observed_at":"2026-08-08T16:46:08.291653Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-08T16:46:08.273972Z","title":"Paths in weyl cham bers and random matrices","venue":null,"work_id":"29bc73bf-0e7b-421b-a575-5751195e1426","year":2002},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.561104Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:6b5122461c5c99e912a50a9cbda9db99f4314a5915aaec264249335e4c77595d","observation_id":"5c3b2778-c9e6-4245-83da-1e3299189ab8","resolution":{"observed_at":"2026-08-08T16:46:08.278348Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-08T16:46:08.260533Z","title":"Lie groups and Lie algebras , volume 1","venue":null,"work_id":"b9b6c5d2-7875-48c1-bc8b-efcfe5123680","year":1989},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.565725Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:54412fd03e6fba49b30a940f924bf663c0763d1cc648e68dcb9289573f69ead0","observation_id":"b761b173-2f86-46c5-b2fc-9fb38539df43","resolution":{"observed_at":"2026-08-08T16:46:08.264880Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-08T16:46:08.246671Z","title":"Poisson boundary of GL d(Qp) Israel Journal of Mathematics , 185:125– 140, 2011","venue":null,"work_id":"91ddc47c-91ff-407d-bb6b-7cfbd814c719","year":2011},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.570302Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:0a65c1789f0c7c692c1914b5c74b49fb9d70da7b585e2757b6c12b950df53fb4","observation_id":"4e4c9f24-dfbc-41a5-8577-d4059fb0469b","resolution":{"observed_at":"2026-08-08T16:46:08.251112Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-08T16:46:08.232986Z","title":"Groupes r´ eductifs s ur un corps local: I","venue":null,"work_id":"8f362dc1-338b-425c-b897-57a63bb7d7bb","year":1972},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.575462Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:558f232dfce762d1ce567f036a824dad7959a052fc72c7217aaaf62f9d8b331b","observation_id":"7ab3a6ac-1d8b-4810-a88c-ff1100135e8f","resolution":{"observed_at":"2026-08-08T16:46:08.237671Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-08T16:46:08.218893Z","title":"Isotropic rando m walks in a building of type","venue":null,"work_id":"ef75bbb9-0379-4580-a6c4-c0393c7672ad","year":2004},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.579877Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:8a0c44791735bcd3fcec2f9a31231064dd8d14ac922a66a94f189d200bce09bb","observation_id":"74d5c3ad-e8b0-4255-bba0-bbe25f90c073","resolution":{"observed_at":"2026-08-08T16:46:08.223745Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-08T16:46:08.205081Z","title":"Non-archimedean whittaker functions as characters: A probabilistic approach to the shintani– casselman–shalika formula","venue":null,"work_id":"06689c90-4839-415f-83fd-0111330266fb","year":2017},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.584240Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:996b7b49ba76f031dccf400cbe0b6e27c3c005d7e9c236d712e48846c71f6fac","observation_id":"b9f23016-e9a5-43fa-9b48-efa7eb469c67","resolution":{"observed_at":"2026-08-08T16:46:08.209748Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-08T16:46:08.191277Z","title":"Asymptotics of finite system lyapuno v exponents for some random matrix ensembles","venue":null,"work_id":"ce656c5d-a62b-47f9-b526-2a3eef1aae2b","year":2015},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.588841Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:a229d3277c9bd078cbeae925c4b4b7f474a28bc967ea61b449f330bd62b3a601","observation_id":"4e699fa5-51e1-4be5-bc51-4f865cf5e343","resolution":{"observed_at":"2026-08-08T16:46:08.195858Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-08T16:46:08.177142Z","title":"Products of random matrices","venue":null,"work_id":"4be586af-995f-4a15-a435-da8b62104857","year":1960},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.593599Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:c8744a98de6cbe1d504946a7d5c3a132fcd58d9523e7f0adfbb1a9594c9edf98","observation_id":"6fcc5c58-c092-403e-b0b3-7057533d6120","resolution":{"observed_at":"2026-08-08T16:46:08.181405Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-08T16:46:08.162818Z","title":"Brownian motion in a weyl chamber, non -colliding particles, and random matrices","venue":null,"work_id":"3d822266-9995-40fe-9c01-325ca77f722a","year":1999},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.598022Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:7e86b3e1c1225ebe5e97619d1deec6a042003e81e24267dd2d666c03eab4959c","observation_id":"7c6ac20c-840b-4016-812b-a5c4c7728af8","resolution":{"observed_at":"2026-08-08T16:46:08.167435Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-08T16:46:08.148765Z","title":"Random walks in weyl c hambers and the decomposition of tensor powers","venue":null,"work_id":"3856c7dc-c033-454a-9ac4-ffcb55c4d269","year":1993},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.602522Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:5ac21509c85d48d08a927827342f36c6e8ea2e53dcf96bf933c10c2b7964da4f","observation_id":"96c9c458-35eb-4fb6-8e60-6950d8db8ee8","resolution":{"observed_at":"2026-08-08T16:46:08.153431Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-08T16:46:08.134914Z","title":"Reflection groups and Coxeter groups","venue":null,"work_id":"13ad6b04-c19d-41d6-8d84-a67eed28223d","year":1992},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.607048Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:ca9c2abde0003b2118e294512debb8f94968423b2abb3a141a89d3a0fc6147c9","observation_id":"4b966b32-a6f7-4385-bde3-143fb3c8e47a","resolution":{"observed_at":"2026-08-08T16:46:08.139377Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-08T16:46:08.121349Z","title":"Linear algebraic groups , volume 21","venue":null,"work_id":"a41b6410-90ea-4558-93ce-e597029f995b","year":2012},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.611744Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:272b51caf532b34b76325a6ae730f01d152f7bfe42b37afd9ea7bbe7732c3421","observation_id":"ed65ce88-94f5-4472-be9b-01ea92898029","resolution":{"observed_at":"2026-08-08T16:46:08.125669Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-08T16:46:08.107578Z","title":"Investigation of continuo us-time quantum walk on root lattice an and hon- eycomb lattice","venue":null,"work_id":"66d8ed57-7c28-4226-9a6a-820c07a32ad4","year":2007},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.616311Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:fb7aee4acd5edc41c8f2982f2b8e479c0b18f2792834fc1948680a22fc7ce11a","observation_id":"3690aee6-1b37-46f1-bcf5-59a998e9c5c4","resolution":{"observed_at":"2026-08-08T16:46:08.112269Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-08T16:46:08.093807Z","title":"Convex hulls of random walks, hyperplane arrangements, and weyl chambers","venue":null,"work_id":"f7792e9c-4d5a-4d6d-b6b5-83c737e2ffd1","year":2017},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.620672Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:9bcf53915d68d0cf7795c83b6ff4e6ac5a88d7d180fbda8ebe5d8ca0b8737289","observation_id":"e3d7aabe-aef6-46f9-b708-0acb1274a589","resolution":{"observed_at":"2026-08-08T16:46:08.098520Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-08T16:46:08.079958Z","title":"Exact lyapunov exponent for infinite products of random matrices","venue":null,"work_id":"f9da4eaa-503c-4e92-a418-477792342957","year":1994},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.625489Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:c983d3614228b1414212ba0568aeccc70748042e2ea6893af3d64f47dc495ba5","observation_id":"c7655f81-714d-4468-a3f9-588edc052d40","resolution":{"observed_at":"2026-08-08T16:46:08.084663Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-08T16:46:08.065676Z","title":"Lyapunov ex ponent, universality and phase transition for products of random matrices","venue":null,"work_id":"cd74b6cf-966f-4376-b8f5-e4dade4ec4b0","year":2023},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.630088Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:235f75940f5918d95f4e809573eccac12d5bd3686642b3cca7ec6a6183d50c14","observation_id":"6683f44d-5a7f-49e1-87e1-077cfd6bf168","resolution":{"observed_at":"2026-08-08T16:46:08.070332Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-08T16:46:08.051609Z","title":"Orthogonal polynomials associated wi th root systems","venue":null,"work_id":"11f5d275-1d62-4b74-b3c7-305bac29ab4c","year":1990},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.634486Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:981d722f2ea18d3d1ae2a546f8bc13a8a90c6a197b34a2313dddea201f6918f7","observation_id":"3696e8f1-4cea-4171-a214-760f8b237b32","resolution":{"observed_at":"2026-08-08T16:46:08.056237Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-08T16:46:08.037482Z","title":"Spherical functions on a p-adic ch evalley group","venue":null,"work_id":"3a8e8927-ef19-4e87-ada5-38322d8f322e","year":1968},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.638819Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:b2d14feefb05dfeaed234acf61a27e4ada0ca23089d0c0974c683c132663ab39","observation_id":"6c9b853f-033b-4521-9b15-c5fbd59944d4","resolution":{"observed_at":"2026-08-08T16:46:08.042026Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-08T16:46:08.023629Z","title":"Random walks on lattices","venue":null,"work_id":"0458b757-e71f-42b8-9de2-f5d9ad1d792d","year":1964},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.643123Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:4b07c9a4574bcbf2543dffefcb4fd7248d948a32b02bf64086ccece14b20883b","observation_id":"05a11111-3a39-4ca8-8694-e87a925709fa","resolution":{"observed_at":"2026-08-08T16:46:08.028041Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-08T16:46:08.008171Z","title":"The distribution of lyapunov exponen ts: exact results for random matrices","venue":null,"work_id":"87f4e75b-e80f-4bc3-8a17-a901a30693aa","year":1986},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.647490Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:5db150101d4d4d4148ebec8852fa70878a2c4ef26a55a443174600e5fc7f19b1","observation_id":"ee4423a8-2079-407d-8914-c7a06cb3f303","resolution":{"observed_at":"2026-08-08T16:46:08.013303Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-08T16:46:07.992573Z","title":"Buildings, groups of lie type, and ran dom walks","venue":null,"work_id":"551c7475-6351-4482-94ec-e42b1b853d76","year":2017},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.651755Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:c197b355f9be82d55678b73bbc7becb6620b50853d70de38fbb06e7aab4417a9","observation_id":"98acf915-b09b-490e-a9d5-016ab8bbad12","resolution":{"observed_at":"2026-08-08T16:46:07.997317Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-08T16:46:07.978391Z","title":"Random walk on a building of type ˜Ar and brownian motion of the weyl chamber","venue":null,"work_id":"32f35ce8-7473-4d4f-b857-9d00a3fef3f7","year":2009},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.655959Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:d55dd6c8ba053d2a029b74d525acee6e5237f1f5b0898cb5e5b107715961e50d","observation_id":"7e2fdd64-06a7-4dea-a941-abbab5fc2438","resolution":{"observed_at":"2026-08-08T16:46:07.983023Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-08T16:46:07.964130Z","title":"Compact lie groups","venue":null,"work_id":"384a2f50-bd0c-49c9-b97f-47328749bd81","year":2007},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.660222Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:2ad8e3094f1fa268173410b1b52c853250610ce34893d91d7062a8a8a32e2810","observation_id":"34a43635-9189-4dd6-aaaa-d120cd1861a4","resolution":{"observed_at":"2026-08-08T16:46:07.968661Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-08T16:46:07.664692Z","title":"Gaussian universality of p-adic random matrix products via corners","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.664692Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:f90db6385bad351377b0fd987f5667476df4600bf12771355446b697436e183a","observation_id":"50e89277-7061-40cc-8118-3a4644777748","resolution":{"observed_at":"2026-08-08T16:46:07.664692Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.05999","last_updated":"2025-04-16T17:30:46Z","snapshot_observed_at":"2026-08-17T04:59:48.426728Z","submitted_at":"2024-12-08T17:13:18Z","title":"Non-Archimedean GUE corners and Hecke modules","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.05999","snapshot_observed_at":"2026-08-08T16:46:07.668836Z","title":"Non-archimedean gue cor ners and hecke modules","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.668836Z"},"links":{"cited_paper":"/paper/2412.05999","citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:441594c3c7e84393ec083daff35345bde7067029435068dca548d4ccf55447a3","observation_id":"7628f5d1-3099-4485-b37f-40ee1f9fd699","resolution":{"observed_at":"2026-08-08T16:46:07.668836Z","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":"2026-08-08T16:46:07.947796Z","title":"Limits and fluctuations of p-adic rando m matrix products","venue":null,"work_id":"3e1f8dbf-2c4f-4606-95ef-0caafee2da6d","year":2021},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.673389Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:d80d850d9d27368d94f283549fb29f1a8e93838ea998b039ea38e11e7edb1d0c","observation_id":"b0cdfc01-ed71-4a6c-8299-42a26286059c","resolution":{"observed_at":"2026-08-08T16:46:07.953344Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2309.02865","last_updated":"2024-06-12T16:44:34Z","snapshot_observed_at":"2026-08-16T15:02:54.054959Z","submitted_at":"2023-09-06T09:45:33Z","title":"What is a $p$-adic Dyson Brownian motion?","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.02865","snapshot_observed_at":"2026-08-08T16:46:07.677662Z","title":"What is a p-adic dyson brownian motion? arXiv preprint arXiv:2309.02865 , 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.677662Z"},"links":{"cited_paper":"/paper/2309.02865","citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:698fa77ebe397fa0cbb542771f30354f38bed9c6bb7698b7b11bbb1998c02911","observation_id":"b82af198-4505-4345-9ce0-029298e65817","resolution":{"observed_at":"2026-08-08T16:46:07.677662Z","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":"2026-08-08T16:46:07.931197Z","title":"Estimating generalized lyapunov exponent s for products of random matrices","venue":null,"work_id":"34597c91-60e9-43da-8d39-5cfb56a891ea","year":2010},"citing_paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-08T16:46:07.682307Z"},"links":{"citing_paper":"/paper/2502.06143"},"observation_digest":"sha256:6131fd324360559413d814165989ec74d4aced5364f21ea101fad62b75c630a3","observation_id":"b0b616b3-7b2a-4d98-9f87-23ac606883c0","resolution":{"observed_at":"2026-08-08T16:46:07.937548Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2502.06143","last_updated":"2025-02-10T04:19:37Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-17T06:53:41.237587Z","submitted_at":"2025-02-10T04:19:37Z","title":"Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism"},"reference_resolution":{"displayed":32,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":0,"verified_fuzzy":27},"total_outbound_references":32},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2502.06143."}