{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:4IQM2TEVFV5PO7IMF2QWVQWEHL","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":"3b904ed980a3f77396aac2d535bc1ca32ce858883bea094bbad0500727a08243","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-06-05T12:35:25Z","title_canon_sha256":"8f12a799de0b29b8b04c10a0f659e59b4162a14a3f0780893ce6773440daf9a8"},"schema_version":"1.0","source":{"id":"1706.01291","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.01291","created_at":"2026-05-18T00:19:42Z"},{"alias_kind":"arxiv_version","alias_value":"1706.01291v6","created_at":"2026-05-18T00:19:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.01291","created_at":"2026-05-18T00:19:42Z"},{"alias_kind":"pith_short_12","alias_value":"4IQM2TEVFV5P","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"4IQM2TEVFV5PO7IM","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"4IQM2TEV","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:c887119a78079c949e6d0ed3da09de57eb564b705b9df92a1e942d5b41ddaefe","target":"graph","created_at":"2026-05-18T00:19:42Z","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":"A popular setting in medical statistics is a group sequential trial with independent and identically distributed normal outcomes, in which interim analyses of the sum of the outcomes are performed. Based on a prescribed stopping rule, one decides after each interim analysis whether the trial is stopped or continued. Consequently, the actual length of the study is a random variable. It is reported in the literature that the interim analyses may cause bias if one uses the ordinary sample mean to estimate the location parameter. For a generic stopping rule, which contains many classical stopping ","authors_text":"Anna Ivanova, Ben Berckmoes, Geert Molenberghs","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-06-05T12:35:25Z","title":"On the sample mean after a group sequential trial"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.01291","kind":"arxiv","version":6},"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":"sha256:16ef884f9d63e7f51f285e029a704fefcba773bf355ee0fca1252605a56aac21","target":"record","created_at":"2026-05-18T00:19:42Z","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":"3b904ed980a3f77396aac2d535bc1ca32ce858883bea094bbad0500727a08243","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-06-05T12:35:25Z","title_canon_sha256":"8f12a799de0b29b8b04c10a0f659e59b4162a14a3f0780893ce6773440daf9a8"},"schema_version":"1.0","source":{"id":"1706.01291","kind":"arxiv","version":6}},"canonical_sha256":"e220cd4c952d7af77d0c2ea16ac2c43ae44b0c39d42aab54772125cd4c3c60b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e220cd4c952d7af77d0c2ea16ac2c43ae44b0c39d42aab54772125cd4c3c60b2","first_computed_at":"2026-05-18T00:19:42.244308Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:42.244308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/85jVCtgPwz1q/OpO9kQIynrWbKf+TZbyGRmuv1KHqHIDs0AGkXv9xy/lqBEnjHrjBNhki857Ay0KIvGig7/DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:42.245075Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.01291","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:16ef884f9d63e7f51f285e029a704fefcba773bf355ee0fca1252605a56aac21","sha256:c887119a78079c949e6d0ed3da09de57eb564b705b9df92a1e942d5b41ddaefe"],"state_sha256":"5428087baf6512c207c6fa5c7431361cdf6bfc47c164ba8552c67cdbc21156fe"}