{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:BE4DAZPYNUQDG2UVW74SGO7OVK","short_pith_number":"pith:BE4DAZPY","schema_version":"1.0","canonical_sha256":"09383065f86d20336a95b7f9233beeaab76946a68c59d1edc67f412b7a5d06b8","source":{"kind":"arxiv","id":"1908.03834","version":1},"attestation_state":"computed","paper":{"title":"Distribution of Eigenvalues of Random Real Symmetric Block Matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.NT"],"primary_cat":"math.PR","authors_text":"Charles Devlin VI, Keller Blackwell, Mengxi Wang, Neelima Borade, Noah Luntzlara, Renyuan Ma, Steven J. Miller, Wanqiao Xu","submitted_at":"2019-08-11T00:45:10Z","abstract_excerpt":"Random Matrix Theory (RMT) has successfully modeled diverse systems, from energy levels of heavy nuclei to zeros of $L$-functions. Many statistics in one can be interpreted in terms of quantities of the other; for example, zeros of $L$-functions correspond to eigenvalues of matrices, and values of $L$-functions to values of the characteristic polynomials. This correspondence has allowed RMT to successfully predict many number theory behaviors; however, there are some operations which to date have no RMT analogue. The motivation of this paper is to try and find an RMT equivalent to Rankin-Selbe"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1908.03834","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-08-11T00:45:10Z","cross_cats_sorted":["math-ph","math.MP","math.NT"],"title_canon_sha256":"9ab4e61e1121d062d28997e516e0def9ef843f9f7c6513d23d43bf5ae7949e18","abstract_canon_sha256":"66f22142d67e0824ca65844bb68d7bb52e70005c6a217de9875ea829630d98eb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:53:18.644795Z","signature_b64":"IlQ9ae1c0QnicnfYbNJf/Xca/UVksLM1pSCXIVruWAvJ741MmePl2Lik2WljwFdJYJR0/6NWrX6J1lRNGV/7CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"09383065f86d20336a95b7f9233beeaab76946a68c59d1edc67f412b7a5d06b8","last_reissued_at":"2026-07-04T23:53:18.644231Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:53:18.644231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Distribution of Eigenvalues of Random Real Symmetric Block Matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.NT"],"primary_cat":"math.PR","authors_text":"Charles Devlin VI, Keller Blackwell, Mengxi Wang, Neelima Borade, Noah Luntzlara, Renyuan Ma, Steven J. Miller, Wanqiao Xu","submitted_at":"2019-08-11T00:45:10Z","abstract_excerpt":"Random Matrix Theory (RMT) has successfully modeled diverse systems, from energy levels of heavy nuclei to zeros of $L$-functions. Many statistics in one can be interpreted in terms of quantities of the other; for example, zeros of $L$-functions correspond to eigenvalues of matrices, and values of $L$-functions to values of the characteristic polynomials. This correspondence has allowed RMT to successfully predict many number theory behaviors; however, there are some operations which to date have no RMT analogue. The motivation of this paper is to try and find an RMT equivalent to Rankin-Selbe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.03834","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.03834/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1908.03834","created_at":"2026-07-04T23:53:18.644305+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.03834v1","created_at":"2026-07-04T23:53:18.644305+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.03834","created_at":"2026-07-04T23:53:18.644305+00:00"},{"alias_kind":"pith_short_12","alias_value":"BE4DAZPYNUQD","created_at":"2026-07-04T23:53:18.644305+00:00"},{"alias_kind":"pith_short_16","alias_value":"BE4DAZPYNUQDG2UV","created_at":"2026-07-04T23:53:18.644305+00:00"},{"alias_kind":"pith_short_8","alias_value":"BE4DAZPY","created_at":"2026-07-04T23:53:18.644305+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BE4DAZPYNUQDG2UVW74SGO7OVK","json":"https://pith.science/pith/BE4DAZPYNUQDG2UVW74SGO7OVK.json","graph_json":"https://pith.science/api/pith-number/BE4DAZPYNUQDG2UVW74SGO7OVK/graph.json","events_json":"https://pith.science/api/pith-number/BE4DAZPYNUQDG2UVW74SGO7OVK/events.json","paper":"https://pith.science/paper/BE4DAZPY"},"agent_actions":{"view_html":"https://pith.science/pith/BE4DAZPYNUQDG2UVW74SGO7OVK","download_json":"https://pith.science/pith/BE4DAZPYNUQDG2UVW74SGO7OVK.json","view_paper":"https://pith.science/paper/BE4DAZPY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.03834&json=true","fetch_graph":"https://pith.science/api/pith-number/BE4DAZPYNUQDG2UVW74SGO7OVK/graph.json","fetch_events":"https://pith.science/api/pith-number/BE4DAZPYNUQDG2UVW74SGO7OVK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BE4DAZPYNUQDG2UVW74SGO7OVK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BE4DAZPYNUQDG2UVW74SGO7OVK/action/storage_attestation","attest_author":"https://pith.science/pith/BE4DAZPYNUQDG2UVW74SGO7OVK/action/author_attestation","sign_citation":"https://pith.science/pith/BE4DAZPYNUQDG2UVW74SGO7OVK/action/citation_signature","submit_replication":"https://pith.science/pith/BE4DAZPYNUQDG2UVW74SGO7OVK/action/replication_record"}},"created_at":"2026-07-04T23:53:18.644305+00:00","updated_at":"2026-07-04T23:53:18.644305+00:00"}