{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:IXDFLXIJGU7RRSHSN4LBBYKLYP","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":"b9270131cb141292c3eb1b9e6c117176fe66f1193da4d989665b4cfe015a1f1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-11-09T06:45:22Z","title_canon_sha256":"248f527cd7bb2f9bdc946ee0fc272a727cd9dcfde6630100019af3042dbd0c6a"},"schema_version":"1.0","source":{"id":"1111.2113","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.2113","created_at":"2026-05-18T00:32:47Z"},{"alias_kind":"arxiv_version","alias_value":"1111.2113v3","created_at":"2026-05-18T00:32:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.2113","created_at":"2026-05-18T00:32:47Z"},{"alias_kind":"pith_short_12","alias_value":"IXDFLXIJGU7R","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"IXDFLXIJGU7RRSHS","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"IXDFLXIJ","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:2d97aba583f0cf919fa5bd9fbe6bb754ce5f4a789a8e680fbc741b1733dd21ec","target":"graph","created_at":"2026-05-18T00:32:47Z","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":"Consider a linear regression model with n-dimensional response vector, regression parameter \\beta = (\\beta_1, ..., \\beta_p) and independent and identically N(0, \\sigma^2) distributed errors. Suppose that the parameter of interest is \\theta = a^T \\beta where a is a specified vector. Define the parameter \\tau = c^T \\beta - t where c and t are specified. Also suppose that we have uncertain prior information that \\tau = 0. Part of our evaluation of a frequentist confidence interval for \\theta is the ratio (expected length of this confidence interval)/(expected length of standard 1-\\alpha confidenc","authors_text":"Khageswor Giri, Paul Kabaila","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-11-09T06:45:22Z","title":"Further properties of frequentist confidence intervals in regression that utilize uncertain prior information"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.2113","kind":"arxiv","version":3},"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:d68f43b67a11a0555896ed713e74dde040d0014723a8fc79bbc7709f0e33f05a","target":"record","created_at":"2026-05-18T00:32:47Z","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":"b9270131cb141292c3eb1b9e6c117176fe66f1193da4d989665b4cfe015a1f1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-11-09T06:45:22Z","title_canon_sha256":"248f527cd7bb2f9bdc946ee0fc272a727cd9dcfde6630100019af3042dbd0c6a"},"schema_version":"1.0","source":{"id":"1111.2113","kind":"arxiv","version":3}},"canonical_sha256":"45c655dd09353f18c8f26f1610e14bc3f5526b72f3a52e104b10521d8a571853","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"45c655dd09353f18c8f26f1610e14bc3f5526b72f3a52e104b10521d8a571853","first_computed_at":"2026-05-18T00:32:47.724373Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:47.724373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xVAH6Pkcyu4Gx/vuiLQHiQ0GBO+ofG85HFqQZ8IhUJeic0Gn7K1FLYIRRNXPbGF0pLqqVLXXPupUyWhfAxwDCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:47.725148Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.2113","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d68f43b67a11a0555896ed713e74dde040d0014723a8fc79bbc7709f0e33f05a","sha256:2d97aba583f0cf919fa5bd9fbe6bb754ce5f4a789a8e680fbc741b1733dd21ec"],"state_sha256":"29597bd9cc599ec264a8779727a996f2c71aa32c8a680756c67ca60fd5eaf334"}