{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:5ENP6EJSMYWKFEZ3LLMQTN5DTI","short_pith_number":"pith:5ENP6EJS","schema_version":"1.0","canonical_sha256":"e91aff1132662ca2933b5ad909b7a39a0c2632ad54e92a61e38172a967ff4a24","source":{"kind":"arxiv","id":"1304.5292","version":2},"attestation_state":"computed","paper":{"title":"A generalised Kotz type distribution and Riesz distribution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Jose A. Diaz-Garcia","submitted_at":"2013-04-19T01:20:33Z","abstract_excerpt":"This article derives the distribution of random matrix $\\mathbf{X}$ associated with the transformation $\\mathbf{Y} = \\mathbf{X}^{*}\\mathbf{X}$, such that $\\mathbf{Y}$ has a Riesz distribution for real normed division algebras. Two versions of this distributions are proposed and some of their properties are studied."},"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":"1304.5292","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-04-19T01:20:33Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"f091cccc499943a4483606028ef73a1459ccae80d429b7e20490d20cc4a0672a","abstract_canon_sha256":"1f87c933596057990c193d2013b7d1e1aecf1367a4c2ecc706d5ecb172f2dc00"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:48:06.991880Z","signature_b64":"uZMhbSw3l3LMmKe2uEyqIV3N+1531wM/zfRWWvGltWE3TgMuPTYzlOXDZh9d7xDY+8twlpJ3+F3S30jkzc5yAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e91aff1132662ca2933b5ad909b7a39a0c2632ad54e92a61e38172a967ff4a24","last_reissued_at":"2026-05-18T01:48:06.991469Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:48:06.991469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A generalised Kotz type distribution and Riesz distribution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Jose A. Diaz-Garcia","submitted_at":"2013-04-19T01:20:33Z","abstract_excerpt":"This article derives the distribution of random matrix $\\mathbf{X}$ associated with the transformation $\\mathbf{Y} = \\mathbf{X}^{*}\\mathbf{X}$, such that $\\mathbf{Y}$ has a Riesz distribution for real normed division algebras. Two versions of this distributions are proposed and some of their properties are studied."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.5292","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":"1304.5292","created_at":"2026-05-18T01:48:06.991534+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.5292v2","created_at":"2026-05-18T01:48:06.991534+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.5292","created_at":"2026-05-18T01:48:06.991534+00:00"},{"alias_kind":"pith_short_12","alias_value":"5ENP6EJSMYWK","created_at":"2026-05-18T12:27:34.582898+00:00"},{"alias_kind":"pith_short_16","alias_value":"5ENP6EJSMYWKFEZ3","created_at":"2026-05-18T12:27:34.582898+00:00"},{"alias_kind":"pith_short_8","alias_value":"5ENP6EJS","created_at":"2026-05-18T12:27:34.582898+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/5ENP6EJSMYWKFEZ3LLMQTN5DTI","json":"https://pith.science/pith/5ENP6EJSMYWKFEZ3LLMQTN5DTI.json","graph_json":"https://pith.science/api/pith-number/5ENP6EJSMYWKFEZ3LLMQTN5DTI/graph.json","events_json":"https://pith.science/api/pith-number/5ENP6EJSMYWKFEZ3LLMQTN5DTI/events.json","paper":"https://pith.science/paper/5ENP6EJS"},"agent_actions":{"view_html":"https://pith.science/pith/5ENP6EJSMYWKFEZ3LLMQTN5DTI","download_json":"https://pith.science/pith/5ENP6EJSMYWKFEZ3LLMQTN5DTI.json","view_paper":"https://pith.science/paper/5ENP6EJS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.5292&json=true","fetch_graph":"https://pith.science/api/pith-number/5ENP6EJSMYWKFEZ3LLMQTN5DTI/graph.json","fetch_events":"https://pith.science/api/pith-number/5ENP6EJSMYWKFEZ3LLMQTN5DTI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5ENP6EJSMYWKFEZ3LLMQTN5DTI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5ENP6EJSMYWKFEZ3LLMQTN5DTI/action/storage_attestation","attest_author":"https://pith.science/pith/5ENP6EJSMYWKFEZ3LLMQTN5DTI/action/author_attestation","sign_citation":"https://pith.science/pith/5ENP6EJSMYWKFEZ3LLMQTN5DTI/action/citation_signature","submit_replication":"https://pith.science/pith/5ENP6EJSMYWKFEZ3LLMQTN5DTI/action/replication_record"}},"created_at":"2026-05-18T01:48:06.991534+00:00","updated_at":"2026-05-18T01:48:06.991534+00:00"}