{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BTML6E3PF473JZ7XEEWNERET33","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"3abaaf3bc8d40b21e65c25342119d5617453993e9d9e14957779a28ad3b7e9bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-11-21T09:31:14Z","title_canon_sha256":"27978eecf1dbc59b8cf799b8a43e9c15a23fd3ff80cf2492a2cdc4b13392fc96"},"schema_version":"1.0","source":{"id":"1711.10463","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.10463","created_at":"2026-05-18T00:29:22Z"},{"alias_kind":"arxiv_version","alias_value":"1711.10463v1","created_at":"2026-05-18T00:29:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.10463","created_at":"2026-05-18T00:29:22Z"},{"alias_kind":"pith_short_12","alias_value":"BTML6E3PF473","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BTML6E3PF473JZ7X","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BTML6E3P","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:d514d0b21696328e4af9530c825be7874d45b757354c948f3927692ba0e00b15","target":"graph","created_at":"2026-05-18T00:29:22Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The contribution of this work is the introduction of a multivariate circular-linear (or poly- cylindrical) distribution obtained by combining the projected and the skew-normal. We show the flexibility of our proposal, its property of closure under marginalization and how to quantify multivariate dependence. Due to a non-identifiability issue that our proposal inherits from the projected normal, a compu- tational problem arises. We overcome it in a Bayesian framework, adding suitable latent variables and showing that posterior samples can be obtained with a post-processing of the estimation alg","authors_text":"Gianluca Mastrantonio","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-11-21T09:31:14Z","title":"The joint projected normal and skew-normal: a distribution for poly-cylindrical data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.10463","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:0637b571c5d20ea6fabba575bada32faf5e877b977b7787ceb01ce1b1081847f","target":"record","created_at":"2026-05-18T00:29:22Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"3abaaf3bc8d40b21e65c25342119d5617453993e9d9e14957779a28ad3b7e9bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-11-21T09:31:14Z","title_canon_sha256":"27978eecf1dbc59b8cf799b8a43e9c15a23fd3ff80cf2492a2cdc4b13392fc96"},"schema_version":"1.0","source":{"id":"1711.10463","kind":"arxiv","version":1}},"canonical_sha256":"0cd8bf136f2f3fb4e7f7212cd24493dec0f66cc9d5df4cd666bd730fe39fd2b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0cd8bf136f2f3fb4e7f7212cd24493dec0f66cc9d5df4cd666bd730fe39fd2b2","first_computed_at":"2026-05-18T00:29:22.052237Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:22.052237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S/TIlJMqrSVuVAf9sR2RDMfRI40nLU121WXjn1g1DHc9t5L1mNx5ytCjHVklxdSUO4elDdAweUSVyYKbwN+NCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:22.052899Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.10463","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0637b571c5d20ea6fabba575bada32faf5e877b977b7787ceb01ce1b1081847f","sha256:d514d0b21696328e4af9530c825be7874d45b757354c948f3927692ba0e00b15"],"state_sha256":"bcb6fb95e0a790a92af5f7dfba8d3199aee08f8debb905e03f0be01ef142670e"}