{"as_of":"2026-08-19T18:13:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:49e74a71e18d27beb034622e72dbb020685244e63cc044ac0c8f7f5439895bc4","coverage":[{"denominator":38,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":38,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T18:51:41.694378Z","state":"measured"},{"denominator":39,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":39,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+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":"2026-08-03T18:04:35.879834Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2512.03628","snapshot_observed_at":"2026-08-03T18:04:35.879834Z","title":"Planar Diagrams","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2512.07753","last_updated":"2026-06-24T12:40:12Z","snapshot_observed_at":"2026-08-14T17:28:49.164749Z","submitted_at":"2025-12-08T17:37:52Z","title":"Enumeration of maps with the Dumitriu-Edelman model","version":2},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-03T18:04:35.879834Z"},"links":{"cited_paper":"/paper/2512.03628","citing_paper":"/paper/2512.07753"},"observation_digest":"sha256:ad422c0c49cd116e01dcc14b945e74a1556860d258758b87887acd934c9288aa","observation_id":"e8e9dd23-7758-4520-9548-79c4eebda5bd","resolution":{"observed_at":"2026-08-03T18:04:35.879834Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2512.03628/citation-record","integrity":"/paper/2512.03628/integrity","json":"/paper/2512.03628/citation-record.json","paper":"/paper/2512.03628"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:38.487541Z","title":"A clt for the characteristic polynomial of random jacobi matrices, and the g e","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:38.487541Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:95f8a639ecf468d8bbf47390a96e2cfa0b9dbaa7c0d6b9b629c9e5a629b36dab","observation_id":"c3db21ed-ee53-40bb-9c3e-1b8815504012","resolution":{"observed_at":"2026-08-03T18:51:38.487541Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:38.627378Z","title":"Anderson, Alice Guionnet, and Ofer Zeitouni","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:38.627378Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:b7fa38386553b014687bbaf94330f18ce251d097b33800591d208181d8eabf37","observation_id":"a54a103f-fbdb-468c-8584-4894ad754837","resolution":{"observed_at":"2026-08-03T18:51:38.627378Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:38.711791Z","title":null,"venue":null,"work_id":null,"year":1965},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:38.711791Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:742acfe3be1a402e3d0b16b5c42a73cd01022414e9eb2182c06899f61203f032","observation_id":"b7eff74e-29da-4d93-889a-d72aec34a24f","resolution":{"observed_at":"2026-08-03T18:51:38.711791Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:38.768155Z","title":"An Invitation to C \\^ *-Algebras , volume 39 of Graduate Texts in Mathematics","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:38.768155Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:34ec702b08a006c538b4403942b374f9c4beacf75f0b4578ddd3a92d23216fc1","observation_id":"80b0f8f9-73fd-44b7-9ab4-de175d4982e3","resolution":{"observed_at":"2026-08-03T18:51:38.768155Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:38.800317Z","title":"Anderson and Ofer Zeitouni","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:38.800317Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:02a0a49604fe2655e4c34f84eadad5707d40c113a2d2fdc9de57426e6d3c4f4b","observation_id":"987ca031-7833-4cab-bc18-71e7b52f4080","resolution":{"observed_at":"2026-08-03T18:51:38.800317Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:38.870830Z","title":"Methodologies in spectral analysis of large dimensional random matrices, a review","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:38.870830Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:3989eb3ec76b7d112053a678734d2c562ac94790f6e15d324b31ab92830e0fbe","observation_id":"c17f0b3c-20ab-4e59-8f87-4264d7ac8939","resolution":{"observed_at":"2026-08-03T18:51:38.870830Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:38.922394Z","title":"Limiting spectral distributions of some band matrices","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:38.922394Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:8737c057058ded634507ec4d6123112a3110a41d2795c934a5a3560322efb9b1","observation_id":"563c1563-2999-4d05-a939-85781ed8a3ae","resolution":{"observed_at":"2026-08-03T18:51:38.922394Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:38.995986Z","title":"Limiting spectral distributions of some band matrices","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:38.995986Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:a010e20a2728d5b4b6076e187ae5ce34d9eb3bcb4e0a7aec5e16c11e06924c68","observation_id":"9fa9ddd4-c9a5-4a38-8e53-5aa09e065a1c","resolution":{"observed_at":"2026-08-03T18:51:38.995986Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:39.011060Z","title":"a nd \\'e n, Mikael Passare, and Mihai Putinar, editors, Notions of Positivity and the Geometry of Polynomials , Trends in Mathematics, pages 153--190. Birkh \\","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:39.011060Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:480629353f5f1d62318d8e1cc433ba36cad177fdcae3bf2adbd1661fecb32d0c","observation_id":"6429a2c0-fd6d-4be6-aa8c-c28e7ea878ea","resolution":{"observed_at":"2026-08-03T18:51:39.011060Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:39.061641Z","title":"Patterned random matrices and method of moments","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:39.061641Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:37daa3b42291a085d19ad147eda4238ca5215ca6370ced769d30b0568ad5b9bd","observation_id":"3c414288-a381-424f-b631-052e7d0cfa44","resolution":{"observed_at":"2026-08-03T18:51:39.061641Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:39.116788Z","title":"Finite diagonal random matrices","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:39.116788Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:802e42baa9747083eeb7f8f4bdf4eced8839ea6073341d2a9ce1e6692ab43af6","observation_id":"8e00314d-273d-4f26-92fe-6b018cd7193b","resolution":{"observed_at":"2026-08-03T18:51:39.116788Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2205.10811","last_updated":"2022-05-22T13:04:17Z","snapshot_observed_at":"2026-08-16T16:58:38.007622Z","submitted_at":"2022-05-22T13:04:17Z","title":"$XX^T$ Matrices With Independent Entries","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.10811","snapshot_observed_at":"2026-08-03T18:51:39.176555Z","title":"xx^t matrices with independent entries","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:39.176555Z"},"links":{"cited_paper":"/paper/2205.10811","citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:9bad20bf3572330433c175df89f2cd29c44f524e86578c44b508f2bc80d20147","observation_id":"12912732-f8e5-4afd-8d84-a7a5d48616dc","resolution":{"observed_at":"2026-08-03T18:51:39.176555Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:39.258671Z","title":"Some patterned matrices with independent entries","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:39.258671Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:ba21ba2df01edb17884096651ab5d6cf7ad8e917fb4b8eee6cd929b3f7bab567","observation_id":"03831bd0-52df-4b7c-9562-2b6325e92609","resolution":{"observed_at":"2026-08-03T18:51:39.258671Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:39.360081Z","title":"Introduction aux grandes matrices aléatoires","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:39.360081Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:91f156c11d9620290e252c0e15966f0b5fba93389ad0e1bf37d0d0ecc8441739","observation_id":"51ca00f1-be25-42a3-bc00-13dc1cf34656","resolution":{"observed_at":"2026-08-03T18:51:39.360081Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:39.449583Z","title":"da Fonseca","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:39.449583Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:8e17ba534643168514a40bc4158b08b18df0ac42130711a89022fb0d36a52802","observation_id":"abf389e0-aa4c-4dc5-ba69-86d4491be221","resolution":{"observed_at":"2026-08-03T18:51:39.449583Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:39.507195Z","title":"Aspects of large random markov kernels","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:39.507195Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:3b4b9817f64e6e871b7d8d75c13654482361bd0a720d05e0d88f98e537adcdee","observation_id":"b475c34d-3f6d-4bda-907f-0120eda3e1a0","resolution":{"observed_at":"2026-08-03T18:51:39.507195Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:39.606161Z","title":"Matrix models for beta ensembles","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:39.606161Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:c7d68cc615966e90a530343345fb8d0261f08e7e558e4a6c5ca66bb9f76502c5","observation_id":"825e28e1-bbc7-4f96-a059-205a28c3b374","resolution":{"observed_at":"2026-08-03T18:51:39.606161Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.16720","last_updated":"2025-05-14T09:24:39Z","snapshot_observed_at":"2026-08-18T01:43:36.642148Z","submitted_at":"2023-06-29T06:38:26Z","title":"Asymptotic analysis of the characteristic polynomial for the Elliptic Ginibre Ensemble","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.16720","snapshot_observed_at":"2026-08-03T18:51:39.717309Z","title":"Asymptotic analysis of the characteristic polynomial for the elliptic ginibre ensemble","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:39.717309Z"},"links":{"cited_paper":"/paper/2306.16720","citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:5b4757882a263f550cacd71e058af9e65f572993d2aa52d9f8cf1cbf2da462ce","observation_id":"f8921e12-80ef-4d2f-ac1b-79d893555df9","resolution":{"observed_at":"2026-08-03T18:51:39.717309Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:39.866314Z","title":"Forrester","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:39.866314Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:9b27d1510d4e4aa9c847bd1193031be0d3f87d284c13f1e24b774fe870afe522","observation_id":"e300b4b4-61a1-41f9-b484-09f1fa527f44","resolution":{"observed_at":"2026-08-03T18:51:39.866314Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:39.987865Z","title":"Universality of the stochastic airy operator","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:39.987865Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:269ef8988292033522ce85a835c22e95298cbb2487103347613936dad6a7c0c2","observation_id":"5c9b8b0d-2f0f-4f8a-bca1-e9ca130ece2f","resolution":{"observed_at":"2026-08-03T18:51:39.987865Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:40.089899Z","title":"Eigenvalue statistics for cmv matrices: from poisson to clock via random matrix ensembles","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:40.089899Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:d6f3d6c4158c3843641301c95693ce1bc5d93f3559d6962376d6369f4b6604e4","observation_id":"1cb2294b-357f-4880-b60c-8cceaaceb34b","resolution":{"observed_at":"2026-08-03T18:51:40.089899Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.01458","last_updated":"2025-08-02T18:22:58Z","snapshot_observed_at":"2026-08-19T15:51:21.348997Z","submitted_at":"2025-08-02T18:22:58Z","title":"Bulk asymptotics of the Gaussian $\\beta$-ensemble characteristic polynomial","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.01458","snapshot_observed_at":"2026-08-03T18:51:40.160738Z","title":"Bulk asymptotics of the gaussian beta-ensemble characteristic polynomial","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:40.160738Z"},"links":{"cited_paper":"/paper/2508.01458","citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:9431eed47712ca98d15a2826214adc9189839f5c5704f9001eb34baedd74019e","observation_id":"46113b77-ed2a-4f58-abd9-66793a37ddd7","resolution":{"observed_at":"2026-08-03T18:51:40.160738Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:40.249463Z","title":"On fluctuations for random band toeplitz matrices","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:40.249463Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:7a25960c5eeb842917d37ab6a8e4596ae5f88a35d5ce1bf9c943011384249391","observation_id":"b0a6ba54-e5ab-4625-814c-b52b14033a6c","resolution":{"observed_at":"2026-08-03T18:51:40.249463Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:40.328814Z","title":"Fluctuation of eigenvalues for random toeplitz and related matrices, 2010","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:40.328814Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:9b44abc0977238606f4d5b5e7a30e4a3748fe15e9c33858c66d8fd15dfbf21e5","observation_id":"c77530f4-56be-44b4-8ae6-0cc71b743182","resolution":{"observed_at":"2026-08-03T18:51:40.328814Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:40.432261Z","title":"Random matrices , volume 142","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:40.432261Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:953ed6dfbc6b39f7ec4e3b8d74616438beb51e09c329512fdf173ea0d9e64824","observation_id":"c02d36c2-d7a1-4f4d-85e0-5c6738f2e9e9","resolution":{"observed_at":"2026-08-03T18:51:40.432261Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:40.511132Z","title":"General tridiagonal random matrix models, limiting distributions and fluctuations","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:40.511132Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:93240d864be9461b0400410a8907de7b1b56abc12eb82cb7a304dde486d457fe","observation_id":"075fe5e1-7665-450a-8433-6887339900c4","resolution":{"observed_at":"2026-08-03T18:51:40.511132Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:40.574109Z","title":"Ram \\'i rez, Brian Rider, and B \\'a lint Vir \\'a g","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:40.574109Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:22fc72fb88219bc6f12ddc77c0826fd2fbf4d8d04bd6cd84c47707050f032dc8","observation_id":"40a1e51c-2e61-4654-afdf-c73f77992bde","resolution":{"observed_at":"2026-08-03T18:51:40.574109Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:40.678358Z","title":"Free calculus","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:40.678358Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:50156ff80ffda9b972e9ba0f74c0149b14cf26d62e569d3beb2257812473315d","observation_id":"4b1c44f2-e646-48fd-b60e-b07b53d05296","resolution":{"observed_at":"2026-08-03T18:51:40.678358Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:40.817402Z","title":"Free probability theory, 2009","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:40.817402Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:4644d41504a0f64c63bd5407f1bf463183c8d368fb93bfcca07a1c5d168df120","observation_id":"5f32fd0b-5523-4abe-aaf9-a05f882f9ee3","resolution":{"observed_at":"2026-08-03T18:51:40.817402Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:40.906598Z","title":"Global spectrum fluctuations for gaussian beta ensembles: a martingale approach","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:40.906598Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:22fa686ede47f36be63b23d46474dcec06179eda5a8da56369bcbee0921015b0","observation_id":"a2eb4871-5432-4bc0-966a-cd466c7e4ae9","resolution":{"observed_at":"2026-08-03T18:51:40.906598Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:41.007013Z","title":null,"venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:41.007013Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:0aae2e41a9160a3319043aad36c199ffe4a6654f7206559e7f27c548dc843ea0","observation_id":"f4b0a648-5360-42c4-9666-dcbc48096e7e","resolution":{"observed_at":"2026-08-03T18:51:41.007013Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:41.100255Z","title":"Dykema, and Alexandru Nica","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:41.100255Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:30ec6f8c7955f2ad39b537627e156fec8857278a1d2a2abdb80e3a7ca6478932","observation_id":"d7413214-e3dd-4c76-9dfa-529b5c5cc7d4","resolution":{"observed_at":"2026-08-03T18:51:41.100255Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:41.198524Z","title":"Optimal Transport: Old and New , volume 338 of Grundlehren der Mathematischen Wissenschaften","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:41.198524Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:84b1fa5c429d0b4465966293addfc3363e96b061839ab08b4ed0a189cb6b1ccb","observation_id":"d2f373c8-8284-4005-a489-08dbd9c4b835","resolution":{"observed_at":"2026-08-03T18:51:41.198524Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:41.326463Z","title":"Continuum limits of random matrices and the brownian carousel","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:41.326463Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:4fca3998a06e2b5bc07bf15e70a4b10fa194e853669c68ee2ba2cef807ebe071","observation_id":"1b95fb55-f6cb-4297-98c7-2ba9068dbfa1","resolution":{"observed_at":"2026-08-03T18:51:41.326463Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:41.397092Z","title":null,"venue":null,"work_id":null,"year":1958},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:41.397092Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:17b8fbc0a1c27f19408f8c9697a8469926dc76ef1fd07987a5fa8167f1bb3c2f","observation_id":"15c58a45-f36b-4de1-a7eb-787d3230bd32","resolution":{"observed_at":"2026-08-03T18:51:41.397092Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:41.495754Z","title":"On the distribution of the roots of certain symmetric matrices","venue":null,"work_id":null,"year":1958},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:41.495754Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:39989fe422c7b18366774b0023de97c9f6721f2dad6ecda0395ba73424b528bc","observation_id":"7fc6bef2-942c-4408-99d4-f4814df49a2b","resolution":{"observed_at":"2026-08-03T18:51:41.495754Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:41.594594Z","title":"Tridiagonal random matrix: Gaussian fluctuations and deviations","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:41.594594Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:af415939bdbd3d2c09ca3599ef178761a3650bfbae3b90776d364202bbdf3d6f","observation_id":"efa886ad-9b1d-4050-b91c-80805992e8e5","resolution":{"observed_at":"2026-08-03T18:51:41.594594Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T18:51:41.694378Z","title":"A graphon approach to limiting spectral distributions of wigner‐type matrices","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach","version":2},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-03T18:51:41.694378Z"},"links":{"citing_paper":"/paper/2512.03628"},"observation_digest":"sha256:0d462282c765062124933f06f8545d9adfa234fb28596ac1b76eebfbc150ec4a","observation_id":"f2946ae1-ddd5-4dd3-9f84-c34a6cbaebeb","resolution":{"observed_at":"2026-08-03T18:51:41.694378Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2512.03628","last_updated":"2026-07-25T23:05:28Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-18T21:02:33.630157Z","submitted_at":"2025-12-03T10:06:18Z","title":"Tridiagonal random matrices, an analytic approach"},"reference_resolution":{"displayed":38,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":38,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":38},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2512.03628."}