{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JDEEJ6JIRMMVK45C4K4ORKTQ5P","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":"c0c9a18cd60502d5f4a48d895cfe03644fb7c84f0ca54c9a2811170f8b3b6916","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2014-05-31T20:49:05Z","title_canon_sha256":"03f8af87db8c7a01c0c5dbcbe6cd8188c7023b5ee461d4851bb6cd1e3a0d6cc5"},"schema_version":"1.0","source":{"id":"1406.0111","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.0111","created_at":"2026-05-18T01:15:24Z"},{"alias_kind":"arxiv_version","alias_value":"1406.0111v2","created_at":"2026-05-18T01:15:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.0111","created_at":"2026-05-18T01:15:24Z"},{"alias_kind":"pith_short_12","alias_value":"JDEEJ6JIRMMV","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"JDEEJ6JIRMMVK45C","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"JDEEJ6JI","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:b5dc29e06b3a3a904550ac7c22726af79d47535473fea66ca4c629edf28747f1","target":"graph","created_at":"2026-05-18T01:15:24Z","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":"In this paper, we provide the R\\'enyi entropy and complexity measure for a novel, flexible class of skew-gaussian distributions and their related families, as a characteristic form of the skew-gaussian Shannon entropy. We give closed expressions considering a more general class of closed skew-gaussian distributions and the weighted moments estimation method. In addition, closed expressions of R\\'enyi entropy are presented for extended skew-gaussian and truncated skew-gaussian distributions. Finally, additional inequalities for skew-gaussian and extended skew-gaussian R\\'enyi and Shannon entrop","authors_text":"Javier E. Contreras-Reyes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2014-05-31T20:49:05Z","title":"R\\'enyi entropy and complexity measure for skew-gaussian distributions and related families"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.0111","kind":"arxiv","version":2},"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":"sha256:1010055f3781a2938c248c99dfce30e37a92ac2acaf32c90da4fe638a969629f","target":"record","created_at":"2026-05-18T01:15:24Z","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":"c0c9a18cd60502d5f4a48d895cfe03644fb7c84f0ca54c9a2811170f8b3b6916","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2014-05-31T20:49:05Z","title_canon_sha256":"03f8af87db8c7a01c0c5dbcbe6cd8188c7023b5ee461d4851bb6cd1e3a0d6cc5"},"schema_version":"1.0","source":{"id":"1406.0111","kind":"arxiv","version":2}},"canonical_sha256":"48c844f9288b195573a2e2b8e8aa70ebfb1509e8d6f20e4c9593b54e259de057","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48c844f9288b195573a2e2b8e8aa70ebfb1509e8d6f20e4c9593b54e259de057","first_computed_at":"2026-05-18T01:15:24.013044Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:24.013044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BI7ocNvtOVxTpHs1fZe95vMORiGWucvf/N60P4Isdb1qY+C+HRDkgrVYGt+51IBMWzy1y7fltp/t7Opzu9UxBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:24.013808Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.0111","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1010055f3781a2938c248c99dfce30e37a92ac2acaf32c90da4fe638a969629f","sha256:b5dc29e06b3a3a904550ac7c22726af79d47535473fea66ca4c629edf28747f1"],"state_sha256":"56e2fd06542f9e337d2fa41b81b6f444463619bae8dd31bd34394d7e5b5300ca"}