{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:5YVBVD4AVQN4VSJ6JUTCLNL7CI","short_pith_number":"pith:5YVBVD4A","schema_version":"1.0","canonical_sha256":"ee2a1a8f80ac1bcac93e4d2625b57f12266db09453911dc10221443c88b1dc4f","source":{"kind":"arxiv","id":"1104.4218","version":1},"attestation_state":"computed","paper":{"title":"A Generalization of the Skew-Normal Distribution: The Beta Skew-Normal","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"stat.ME","authors_text":"Monica Musio, Valentina Mameli","submitted_at":"2011-04-21T09:53:52Z","abstract_excerpt":"The aim of this article is to introduce a new family of distributions, which generalizes the skew normal distribution (SN). This new family, called Beta skew-normal (BSN), arises naturally when we consider the distributions of order statistics of the SN. The BSN can also be obtained as a special case of the Beta generated distribution (Jones (2004)). In this work we pay attention to three other generalizations of the SN distribution: the Balakrishnan skew-normal (SNB) (Balakrishnan (2002), as a discussant of Arnold and Beaver (2002), Gupta and Gupta (2004), Sharafi and Behboodian (2008)), the "},"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":"1104.4218","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-04-21T09:53:52Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"b0d524dac1cb13946571510d08892d77ff0edd6b6dbcdf98ce3867dced2b81d3","abstract_canon_sha256":"36995fe4f201149a7910cfff99c67fa58281063da69ed6257e16df0669776a68"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:22:01.595926Z","signature_b64":"2nVCTQE7pl5LXiVVq2GJBC/K7vK81wsuBC+VbpwAg/j9KvxerJLomo4Rdo8HFWq+gQVxIJlc/paek8YKBIdvAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ee2a1a8f80ac1bcac93e4d2625b57f12266db09453911dc10221443c88b1dc4f","last_reissued_at":"2026-05-18T02:22:01.595065Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:22:01.595065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Generalization of the Skew-Normal Distribution: The Beta Skew-Normal","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"stat.ME","authors_text":"Monica Musio, Valentina Mameli","submitted_at":"2011-04-21T09:53:52Z","abstract_excerpt":"The aim of this article is to introduce a new family of distributions, which generalizes the skew normal distribution (SN). This new family, called Beta skew-normal (BSN), arises naturally when we consider the distributions of order statistics of the SN. The BSN can also be obtained as a special case of the Beta generated distribution (Jones (2004)). In this work we pay attention to three other generalizations of the SN distribution: the Balakrishnan skew-normal (SNB) (Balakrishnan (2002), as a discussant of Arnold and Beaver (2002), Gupta and Gupta (2004), Sharafi and Behboodian (2008)), the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.4218","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":"1104.4218","created_at":"2026-05-18T02:22:01.595208+00:00"},{"alias_kind":"arxiv_version","alias_value":"1104.4218v1","created_at":"2026-05-18T02:22:01.595208+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.4218","created_at":"2026-05-18T02:22:01.595208+00:00"},{"alias_kind":"pith_short_12","alias_value":"5YVBVD4AVQN4","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_16","alias_value":"5YVBVD4AVQN4VSJ6","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_8","alias_value":"5YVBVD4A","created_at":"2026-05-18T12:26:22.705136+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/5YVBVD4AVQN4VSJ6JUTCLNL7CI","json":"https://pith.science/pith/5YVBVD4AVQN4VSJ6JUTCLNL7CI.json","graph_json":"https://pith.science/api/pith-number/5YVBVD4AVQN4VSJ6JUTCLNL7CI/graph.json","events_json":"https://pith.science/api/pith-number/5YVBVD4AVQN4VSJ6JUTCLNL7CI/events.json","paper":"https://pith.science/paper/5YVBVD4A"},"agent_actions":{"view_html":"https://pith.science/pith/5YVBVD4AVQN4VSJ6JUTCLNL7CI","download_json":"https://pith.science/pith/5YVBVD4AVQN4VSJ6JUTCLNL7CI.json","view_paper":"https://pith.science/paper/5YVBVD4A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1104.4218&json=true","fetch_graph":"https://pith.science/api/pith-number/5YVBVD4AVQN4VSJ6JUTCLNL7CI/graph.json","fetch_events":"https://pith.science/api/pith-number/5YVBVD4AVQN4VSJ6JUTCLNL7CI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5YVBVD4AVQN4VSJ6JUTCLNL7CI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5YVBVD4AVQN4VSJ6JUTCLNL7CI/action/storage_attestation","attest_author":"https://pith.science/pith/5YVBVD4AVQN4VSJ6JUTCLNL7CI/action/author_attestation","sign_citation":"https://pith.science/pith/5YVBVD4AVQN4VSJ6JUTCLNL7CI/action/citation_signature","submit_replication":"https://pith.science/pith/5YVBVD4AVQN4VSJ6JUTCLNL7CI/action/replication_record"}},"created_at":"2026-05-18T02:22:01.595208+00:00","updated_at":"2026-05-18T02:22:01.595208+00:00"}