{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5PYGJVFI3SNLE2LSLTEKIKR5DR","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":"12e2bed99c7af681d38f4904498f6179816cc010deb795e2b45424a025e34463","cross_cats_sorted":["stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-01-19T23:09:08Z","title_canon_sha256":"0b5972e25852d473655278001ad1f00253c8a3b6f962bb04779f6e33d2728aa0"},"schema_version":"1.0","source":{"id":"1701.05638","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.05638","created_at":"2026-05-18T00:21:28Z"},{"alias_kind":"arxiv_version","alias_value":"1701.05638v4","created_at":"2026-05-18T00:21:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.05638","created_at":"2026-05-18T00:21:28Z"},{"alias_kind":"pith_short_12","alias_value":"5PYGJVFI3SNL","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5PYGJVFI3SNLE2LS","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5PYGJVFI","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:58dfd6a76fbda905e7da1c22e09960c4a3fc0ad5fa1dba4bf24106bee3a1d02f","target":"graph","created_at":"2026-05-18T00:21:28Z","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":"An objective Bayesian approach to estimate the number of degrees of freedom $(\\nu)$ for the multivariate $t$ distribution and for the $t$-copula, when the parameter is considered discrete, is proposed. Inference on this parameter has been problematic for the multivariate $t$ and, for the absence of any method, for the $t$-copula. An objective criterion based on loss functions which allows to overcome the issue of defining objective probabilities directly is employed. The support of the prior for $\\nu$ is truncated, which derives from the property of both the multivariate $t$ and the $t$-copula","authors_text":"Cristiano Villa, Francisco J. Rubio","cross_cats":["stat.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-01-19T23:09:08Z","title":"Objective priors for the number of degrees of freedom of a multivariate t distribution and the t-copula"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05638","kind":"arxiv","version":4},"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":"sha256:46017c2e62d379c75395cdf6a4f8b776108ea30a85c19e5786c1d55a1929bb69","target":"record","created_at":"2026-05-18T00:21:28Z","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":"12e2bed99c7af681d38f4904498f6179816cc010deb795e2b45424a025e34463","cross_cats_sorted":["stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-01-19T23:09:08Z","title_canon_sha256":"0b5972e25852d473655278001ad1f00253c8a3b6f962bb04779f6e33d2728aa0"},"schema_version":"1.0","source":{"id":"1701.05638","kind":"arxiv","version":4}},"canonical_sha256":"ebf064d4a8dc9ab269725cc8a42a3d1c55f588dd9d75e6a59704c3a20859fa03","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ebf064d4a8dc9ab269725cc8a42a3d1c55f588dd9d75e6a59704c3a20859fa03","first_computed_at":"2026-05-18T00:21:28.950165Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:28.950165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LcOpmyx321DZI0X19T/VsfGUjB6BlAA8XNIQHBKkQK7328tegFlvgVOy7AYmc3MGdqXl/QYG0wJMq6kTvZhGDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:28.950862Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.05638","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46017c2e62d379c75395cdf6a4f8b776108ea30a85c19e5786c1d55a1929bb69","sha256:58dfd6a76fbda905e7da1c22e09960c4a3fc0ad5fa1dba4bf24106bee3a1d02f"],"state_sha256":"cdf382d63877f72af1abed82498cb0bfb3b983b66bc0a8e8dc217166142bb713"}