{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:PH3WK2PM2F5BSVE4ER6OD6UMQI","short_pith_number":"pith:PH3WK2PM","schema_version":"1.0","canonical_sha256":"79f76569ecd17a19549c247ce1fa8c8234fafc85472a3076d02f51d86ce1feea","source":{"kind":"arxiv","id":"1307.5965","version":1},"attestation_state":"computed","paper":{"title":"Minima and maxima of elliptical arrays and spherical processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Enkelejd Hashorva","submitted_at":"2013-07-23T07:34:11Z","abstract_excerpt":"In this paper, we investigate first the asymptotics of the minima of elliptical triangular arrays. Motivated by the findings of Kabluchko (Extremes 14 (2011) 285-310), we discuss further the asymptotic behaviour of the maxima of elliptical triangular arrays with marginal distribution functions in the Gumbel or Weibull max-domain of attraction. We present an application concerning the asymptotics of the maximum and the minimum of independent spherical processes."},"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":"1307.5965","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2013-07-23T07:34:11Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"9d3057cfc48f7333f5905503b4960b0b514136e107167e44f6f735bdaad501bc","abstract_canon_sha256":"1c2248aab32eb8ea4e56947864881c4c8971b79c44ca0c57141ae8e15bd41b47"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:17:45.684045Z","signature_b64":"CNH0kvaruGlY04/eg6DR6hJjB3TJUXsZf6/JBPiyExqBbRQwVFDWR4hiv/003M91HydvTPw1jqiK8j8Hdu13Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"79f76569ecd17a19549c247ce1fa8c8234fafc85472a3076d02f51d86ce1feea","last_reissued_at":"2026-05-18T03:17:45.683360Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:17:45.683360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Minima and maxima of elliptical arrays and spherical processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Enkelejd Hashorva","submitted_at":"2013-07-23T07:34:11Z","abstract_excerpt":"In this paper, we investigate first the asymptotics of the minima of elliptical triangular arrays. Motivated by the findings of Kabluchko (Extremes 14 (2011) 285-310), we discuss further the asymptotic behaviour of the maxima of elliptical triangular arrays with marginal distribution functions in the Gumbel or Weibull max-domain of attraction. We present an application concerning the asymptotics of the maximum and the minimum of independent spherical processes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.5965","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":""},"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":"1307.5965","created_at":"2026-05-18T03:17:45.683455+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.5965v1","created_at":"2026-05-18T03:17:45.683455+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.5965","created_at":"2026-05-18T03:17:45.683455+00:00"},{"alias_kind":"pith_short_12","alias_value":"PH3WK2PM2F5B","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_16","alias_value":"PH3WK2PM2F5BSVE4","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_8","alias_value":"PH3WK2PM","created_at":"2026-05-18T12:27:54.935989+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/PH3WK2PM2F5BSVE4ER6OD6UMQI","json":"https://pith.science/pith/PH3WK2PM2F5BSVE4ER6OD6UMQI.json","graph_json":"https://pith.science/api/pith-number/PH3WK2PM2F5BSVE4ER6OD6UMQI/graph.json","events_json":"https://pith.science/api/pith-number/PH3WK2PM2F5BSVE4ER6OD6UMQI/events.json","paper":"https://pith.science/paper/PH3WK2PM"},"agent_actions":{"view_html":"https://pith.science/pith/PH3WK2PM2F5BSVE4ER6OD6UMQI","download_json":"https://pith.science/pith/PH3WK2PM2F5BSVE4ER6OD6UMQI.json","view_paper":"https://pith.science/paper/PH3WK2PM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.5965&json=true","fetch_graph":"https://pith.science/api/pith-number/PH3WK2PM2F5BSVE4ER6OD6UMQI/graph.json","fetch_events":"https://pith.science/api/pith-number/PH3WK2PM2F5BSVE4ER6OD6UMQI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PH3WK2PM2F5BSVE4ER6OD6UMQI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PH3WK2PM2F5BSVE4ER6OD6UMQI/action/storage_attestation","attest_author":"https://pith.science/pith/PH3WK2PM2F5BSVE4ER6OD6UMQI/action/author_attestation","sign_citation":"https://pith.science/pith/PH3WK2PM2F5BSVE4ER6OD6UMQI/action/citation_signature","submit_replication":"https://pith.science/pith/PH3WK2PM2F5BSVE4ER6OD6UMQI/action/replication_record"}},"created_at":"2026-05-18T03:17:45.683455+00:00","updated_at":"2026-05-18T03:17:45.683455+00:00"}