{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:JWDXF7PVLWDO6TVIREFSI3Q65G","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":"edc3877201c2d2747a144a8633d209b4b3ce4f3f28e3d2c7a5fe98f6a82ae351","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-11-25T21:05:11Z","title_canon_sha256":"cba3d0f1cda66326834331c6bb8f087f8b21b80d04c44053746b3ee8dcd2633f"},"schema_version":"1.0","source":{"id":"1111.6110","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.6110","created_at":"2026-05-18T02:56:44Z"},{"alias_kind":"arxiv_version","alias_value":"1111.6110v2","created_at":"2026-05-18T02:56:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6110","created_at":"2026-05-18T02:56:44Z"},{"alias_kind":"pith_short_12","alias_value":"JWDXF7PVLWDO","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JWDXF7PVLWDO6TVI","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JWDXF7PV","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:aa2d9f608ee1ab5de72dab80ac4d9663ef60f98bb4ca3fdc365ba2e6b8e6b0ff","target":"graph","created_at":"2026-05-18T02:56:44Z","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":"While some of the enclosed already is a well-known derivation, and the remaining may have been obtained in earlier publications, this note computes the first two moments of a Student's variate truncated at zero and of an absolute (or folded) Student's variate.","authors_text":"Christian P. Robert (Universite Paris-Dauphine, CREST), IUF","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-11-25T21:05:11Z","title":"First moments of the truncated and absolute Student's variates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6110","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":"sha256:9d8f5274e7a2514031707e37d62298e88d1edaad2dad7066929473c2307874d3","target":"record","created_at":"2026-05-18T02:56:44Z","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":"edc3877201c2d2747a144a8633d209b4b3ce4f3f28e3d2c7a5fe98f6a82ae351","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-11-25T21:05:11Z","title_canon_sha256":"cba3d0f1cda66326834331c6bb8f087f8b21b80d04c44053746b3ee8dcd2633f"},"schema_version":"1.0","source":{"id":"1111.6110","kind":"arxiv","version":2}},"canonical_sha256":"4d8772fdf55d86ef4ea8890b246e1ee9844522bb120098e8e84eafe78f87dc3e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d8772fdf55d86ef4ea8890b246e1ee9844522bb120098e8e84eafe78f87dc3e","first_computed_at":"2026-05-18T02:56:44.597244Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:44.597244Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g3U245LkaeZUrJOxnc6BjfR6ZdySWSrsoCOc+wH2ZrjJDg+uWH7wz9kXd1lBx5J2siPsHMMzE2EQUt6MgVuWCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:44.597688Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.6110","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d8f5274e7a2514031707e37d62298e88d1edaad2dad7066929473c2307874d3","sha256:aa2d9f608ee1ab5de72dab80ac4d9663ef60f98bb4ca3fdc365ba2e6b8e6b0ff"],"state_sha256":"b113ffeb447e1785f357ecaf9f3b84c61b6f8a3db1534063ca426b4d0798ce34"}