{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:WGPJQ2YGDKMG7PMXIHDINU6E6C","short_pith_number":"pith:WGPJQ2YG","schema_version":"1.0","canonical_sha256":"b19e986b061a986fbd9741c686d3c4f0acfa2d304fa1cf3fe037ef3590b44cd8","source":{"kind":"arxiv","id":"1502.00738","version":1},"attestation_state":"computed","paper":{"title":"Polynomial Eulerian shape distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Francisco J. Caro-Lopera, Jos\\'e A. D\\'iaz-Garc\\'ia","submitted_at":"2015-02-03T04:49:07Z","abstract_excerpt":"In this paper a new approach is derived in the context of shape theory. The implemented methodology is motivated in an open problem proposed in \\citet{GM93} about the construction of certain shape density involving Euler hypergeometric functions of matrix arguments.\n  The associated distribution is obtained by establishing a connection between the required shape invariants and a known result on canonical correlations available since 1963; as usual in statistical shape theory and the addressed result, the densities are expressed in terms of infinite series of zonal polynomials which involves co"},"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":"1502.00738","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-02-03T04:49:07Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"7fed2359799790e8c5677b0fe502eeafc237935e741c1d9c053ac341def8e719","abstract_canon_sha256":"7455e0ec2446298afd623ca8d8845ed6de9bbc3b9b6e3dafdf238b2976c34e7a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:28:04.461743Z","signature_b64":"7ocEbE4owflXX8NjVovgQXa+hpREM9Z0O9py/vqMHMzrWObmu8AIYBFC+RqmLTOM0KiEO0vMajQZSHm9GSA9Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b19e986b061a986fbd9741c686d3c4f0acfa2d304fa1cf3fe037ef3590b44cd8","last_reissued_at":"2026-05-18T02:28:04.461303Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:28:04.461303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Polynomial Eulerian shape distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Francisco J. Caro-Lopera, Jos\\'e A. D\\'iaz-Garc\\'ia","submitted_at":"2015-02-03T04:49:07Z","abstract_excerpt":"In this paper a new approach is derived in the context of shape theory. The implemented methodology is motivated in an open problem proposed in \\citet{GM93} about the construction of certain shape density involving Euler hypergeometric functions of matrix arguments.\n  The associated distribution is obtained by establishing a connection between the required shape invariants and a known result on canonical correlations available since 1963; as usual in statistical shape theory and the addressed result, the densities are expressed in terms of infinite series of zonal polynomials which involves co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00738","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":"1502.00738","created_at":"2026-05-18T02:28:04.461392+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.00738v1","created_at":"2026-05-18T02:28:04.461392+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.00738","created_at":"2026-05-18T02:28:04.461392+00:00"},{"alias_kind":"pith_short_12","alias_value":"WGPJQ2YGDKMG","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_16","alias_value":"WGPJQ2YGDKMG7PMX","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_8","alias_value":"WGPJQ2YG","created_at":"2026-05-18T12:29:47.479230+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/WGPJQ2YGDKMG7PMXIHDINU6E6C","json":"https://pith.science/pith/WGPJQ2YGDKMG7PMXIHDINU6E6C.json","graph_json":"https://pith.science/api/pith-number/WGPJQ2YGDKMG7PMXIHDINU6E6C/graph.json","events_json":"https://pith.science/api/pith-number/WGPJQ2YGDKMG7PMXIHDINU6E6C/events.json","paper":"https://pith.science/paper/WGPJQ2YG"},"agent_actions":{"view_html":"https://pith.science/pith/WGPJQ2YGDKMG7PMXIHDINU6E6C","download_json":"https://pith.science/pith/WGPJQ2YGDKMG7PMXIHDINU6E6C.json","view_paper":"https://pith.science/paper/WGPJQ2YG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.00738&json=true","fetch_graph":"https://pith.science/api/pith-number/WGPJQ2YGDKMG7PMXIHDINU6E6C/graph.json","fetch_events":"https://pith.science/api/pith-number/WGPJQ2YGDKMG7PMXIHDINU6E6C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WGPJQ2YGDKMG7PMXIHDINU6E6C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WGPJQ2YGDKMG7PMXIHDINU6E6C/action/storage_attestation","attest_author":"https://pith.science/pith/WGPJQ2YGDKMG7PMXIHDINU6E6C/action/author_attestation","sign_citation":"https://pith.science/pith/WGPJQ2YGDKMG7PMXIHDINU6E6C/action/citation_signature","submit_replication":"https://pith.science/pith/WGPJQ2YGDKMG7PMXIHDINU6E6C/action/replication_record"}},"created_at":"2026-05-18T02:28:04.461392+00:00","updated_at":"2026-05-18T02:28:04.461392+00:00"}