{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:YQBLKDE5GUSMYKFII57GCEQ7L3","short_pith_number":"pith:YQBLKDE5","schema_version":"1.0","canonical_sha256":"c402b50c9d3524cc28a8477e61121f5ef88bf04e150a14a463396b309dda3cee","source":{"kind":"arxiv","id":"1706.08914","version":2},"attestation_state":"computed","paper":{"title":"Determinants of Random Block Hankel Matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Dominik Tomecki, Holger Dette","submitted_at":"2017-06-27T15:45:13Z","abstract_excerpt":"We consider the moment space $\\mathcal{M}^{p}_{2n+1}$ of moments up to the order $2n + 1$ of $p_n\\times p_n$ real matrix measures defined on the interval $[0,1]$. The asymptotic properties of the Hankel determinant $\\{\\log\\det (M_{i+j}^{p_n})_{i,j=0,\\ldots,\\lfloor nt\\rfloor}\\}_{t\\in [0,1]}$ of a uniformly distributed vector $(M_1,\\dots ,M_{2n+1})^t\\sim\\mathcal{U}(\\mathcal{M}_{2n+1})$ are studied when the dimension $n$ of the moment space and the size of the matrices $p_n$ converge to infinity. In particular weak convergence of an appropriately centered and standardized version of this process "},"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":"1706.08914","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-06-27T15:45:13Z","cross_cats_sorted":[],"title_canon_sha256":"d64780bafcf0b27e0d70b6673eb45012909d9dc01330ff41cdf461bfe94239b3","abstract_canon_sha256":"fafcb84f7df9a1065ad693da8c8fa273466c9fe99116b1e54d0582f5f4362691"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:12.114983Z","signature_b64":"isDcdN/DW7NFkXGzdbkK0RQvhnS1IpVbJZVavlZZBJhuSnR341IyEPDm9o7/jojkMgEusVM8Juxs6xTXJYtWDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c402b50c9d3524cc28a8477e61121f5ef88bf04e150a14a463396b309dda3cee","last_reissued_at":"2026-05-18T00:41:12.114310Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:12.114310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Determinants of Random Block Hankel Matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Dominik Tomecki, Holger Dette","submitted_at":"2017-06-27T15:45:13Z","abstract_excerpt":"We consider the moment space $\\mathcal{M}^{p}_{2n+1}$ of moments up to the order $2n + 1$ of $p_n\\times p_n$ real matrix measures defined on the interval $[0,1]$. The asymptotic properties of the Hankel determinant $\\{\\log\\det (M_{i+j}^{p_n})_{i,j=0,\\ldots,\\lfloor nt\\rfloor}\\}_{t\\in [0,1]}$ of a uniformly distributed vector $(M_1,\\dots ,M_{2n+1})^t\\sim\\mathcal{U}(\\mathcal{M}_{2n+1})$ are studied when the dimension $n$ of the moment space and the size of the matrices $p_n$ converge to infinity. In particular weak convergence of an appropriately centered and standardized version of this process "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.08914","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1706.08914","created_at":"2026-05-18T00:41:12.114434+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.08914v2","created_at":"2026-05-18T00:41:12.114434+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.08914","created_at":"2026-05-18T00:41:12.114434+00:00"},{"alias_kind":"pith_short_12","alias_value":"YQBLKDE5GUSM","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_16","alias_value":"YQBLKDE5GUSMYKFI","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_8","alias_value":"YQBLKDE5","created_at":"2026-05-18T12:31:56.362134+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/YQBLKDE5GUSMYKFII57GCEQ7L3","json":"https://pith.science/pith/YQBLKDE5GUSMYKFII57GCEQ7L3.json","graph_json":"https://pith.science/api/pith-number/YQBLKDE5GUSMYKFII57GCEQ7L3/graph.json","events_json":"https://pith.science/api/pith-number/YQBLKDE5GUSMYKFII57GCEQ7L3/events.json","paper":"https://pith.science/paper/YQBLKDE5"},"agent_actions":{"view_html":"https://pith.science/pith/YQBLKDE5GUSMYKFII57GCEQ7L3","download_json":"https://pith.science/pith/YQBLKDE5GUSMYKFII57GCEQ7L3.json","view_paper":"https://pith.science/paper/YQBLKDE5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.08914&json=true","fetch_graph":"https://pith.science/api/pith-number/YQBLKDE5GUSMYKFII57GCEQ7L3/graph.json","fetch_events":"https://pith.science/api/pith-number/YQBLKDE5GUSMYKFII57GCEQ7L3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YQBLKDE5GUSMYKFII57GCEQ7L3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YQBLKDE5GUSMYKFII57GCEQ7L3/action/storage_attestation","attest_author":"https://pith.science/pith/YQBLKDE5GUSMYKFII57GCEQ7L3/action/author_attestation","sign_citation":"https://pith.science/pith/YQBLKDE5GUSMYKFII57GCEQ7L3/action/citation_signature","submit_replication":"https://pith.science/pith/YQBLKDE5GUSMYKFII57GCEQ7L3/action/replication_record"}},"created_at":"2026-05-18T00:41:12.114434+00:00","updated_at":"2026-05-18T00:41:12.114434+00:00"}