{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:TZTSIRDOUN3BHXAVEV3ZDQV5YE","short_pith_number":"pith:TZTSIRDO","canonical_record":{"source":{"id":"1001.2939","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-01-18T01:45:31Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"a247af3bdd9cb9e479b001574728cf925d3da50aa6c75a3f39bffa6a101c7eeb","abstract_canon_sha256":"41e6dcefa8baf84f7a712b546ba34497c8fe47bfb0ba3193f0eb05b5d93b280d"},"schema_version":"1.0"},"canonical_sha256":"9e6724446ea37613dc15257791c2bdc10c62fea05454fde19ac6aa84c75e4181","source":{"kind":"arxiv","id":"1001.2939","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.2939","created_at":"2026-05-18T00:32:47Z"},{"alias_kind":"arxiv_version","alias_value":"1001.2939v1","created_at":"2026-05-18T00:32:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.2939","created_at":"2026-05-18T00:32:47Z"},{"alias_kind":"pith_short_12","alias_value":"TZTSIRDOUN3B","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"TZTSIRDOUN3BHXAV","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"TZTSIRDO","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:TZTSIRDOUN3BHXAVEV3ZDQV5YE","target":"record","payload":{"canonical_record":{"source":{"id":"1001.2939","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-01-18T01:45:31Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"a247af3bdd9cb9e479b001574728cf925d3da50aa6c75a3f39bffa6a101c7eeb","abstract_canon_sha256":"41e6dcefa8baf84f7a712b546ba34497c8fe47bfb0ba3193f0eb05b5d93b280d"},"schema_version":"1.0"},"canonical_sha256":"9e6724446ea37613dc15257791c2bdc10c62fea05454fde19ac6aa84c75e4181","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:47.800752Z","signature_b64":"6lCfp1ge5MjJc4k1LBfa9CiJWuwte6nN0FoL6J8SFOdJRN2vXG9XPalDRrdQQz8H/FP4SEVH3ToMbqtpMwwxDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9e6724446ea37613dc15257791c2bdc10c62fea05454fde19ac6aa84c75e4181","last_reissued_at":"2026-05-18T00:32:47.800095Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:47.800095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1001.2939","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:32:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MIhZ13kkYT8H0PGcqV1A5F2IdX5pwUjGxvulNbe6rEsaPA6GyvUY0y3RyKlxU6YnxOcE4Lqa5v5NXG4lJJOJCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T09:50:08.791402Z"},"content_sha256":"d70bff24dba2d62d2ea4bd7444fe0630f17ad2948346960f31ae313613c976a0","schema_version":"1.0","event_id":"sha256:d70bff24dba2d62d2ea4bd7444fe0630f17ad2948346960f31ae313613c976a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:TZTSIRDOUN3BHXAVEV3ZDQV5YE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Admissibility of the usual confidence interval in linear regression","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Hannes Leeb, Khageswor Giri, Paul Kabaila","submitted_at":"2010-01-18T01:45:31Z","abstract_excerpt":"Consider a linear regression model with independent and identically normally distributed random errors. Suppose that the parameter of interest is a specified linear combination of the regression parameters. We prove that the usual confidence interval for this parameter is admissible within a broad class of confidence intervals."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.2939","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:32:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c8YAMYQpe1JgaDISyaZgP31XmADbb6RDKXAmkOIrI2D/DqnEArglhlEW33sns4Tbuo46tO2vb7uIT1EQD/z3Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T09:50:08.791758Z"},"content_sha256":"3de61b1e77afca582f74941361ac26c903cc951caf060ba4872809a70c9d4b7f","schema_version":"1.0","event_id":"sha256:3de61b1e77afca582f74941361ac26c903cc951caf060ba4872809a70c9d4b7f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TZTSIRDOUN3BHXAVEV3ZDQV5YE/bundle.json","state_url":"https://pith.science/pith/TZTSIRDOUN3BHXAVEV3ZDQV5YE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TZTSIRDOUN3BHXAVEV3ZDQV5YE/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-26T09:50:08Z","links":{"resolver":"https://pith.science/pith/TZTSIRDOUN3BHXAVEV3ZDQV5YE","bundle":"https://pith.science/pith/TZTSIRDOUN3BHXAVEV3ZDQV5YE/bundle.json","state":"https://pith.science/pith/TZTSIRDOUN3BHXAVEV3ZDQV5YE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TZTSIRDOUN3BHXAVEV3ZDQV5YE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:TZTSIRDOUN3BHXAVEV3ZDQV5YE","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":"41e6dcefa8baf84f7a712b546ba34497c8fe47bfb0ba3193f0eb05b5d93b280d","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-01-18T01:45:31Z","title_canon_sha256":"a247af3bdd9cb9e479b001574728cf925d3da50aa6c75a3f39bffa6a101c7eeb"},"schema_version":"1.0","source":{"id":"1001.2939","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.2939","created_at":"2026-05-18T00:32:47Z"},{"alias_kind":"arxiv_version","alias_value":"1001.2939v1","created_at":"2026-05-18T00:32:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.2939","created_at":"2026-05-18T00:32:47Z"},{"alias_kind":"pith_short_12","alias_value":"TZTSIRDOUN3B","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"TZTSIRDOUN3BHXAV","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"TZTSIRDO","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:3de61b1e77afca582f74941361ac26c903cc951caf060ba4872809a70c9d4b7f","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 independent and identically normally distributed random errors. Suppose that the parameter of interest is a specified linear combination of the regression parameters. We prove that the usual confidence interval for this parameter is admissible within a broad class of confidence intervals.","authors_text":"Hannes Leeb, Khageswor Giri, Paul Kabaila","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-01-18T01:45:31Z","title":"Admissibility of the usual confidence interval in linear regression"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.2939","kind":"arxiv","version":1},"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:d70bff24dba2d62d2ea4bd7444fe0630f17ad2948346960f31ae313613c976a0","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":"41e6dcefa8baf84f7a712b546ba34497c8fe47bfb0ba3193f0eb05b5d93b280d","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-01-18T01:45:31Z","title_canon_sha256":"a247af3bdd9cb9e479b001574728cf925d3da50aa6c75a3f39bffa6a101c7eeb"},"schema_version":"1.0","source":{"id":"1001.2939","kind":"arxiv","version":1}},"canonical_sha256":"9e6724446ea37613dc15257791c2bdc10c62fea05454fde19ac6aa84c75e4181","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e6724446ea37613dc15257791c2bdc10c62fea05454fde19ac6aa84c75e4181","first_computed_at":"2026-05-18T00:32:47.800095Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:47.800095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6lCfp1ge5MjJc4k1LBfa9CiJWuwte6nN0FoL6J8SFOdJRN2vXG9XPalDRrdQQz8H/FP4SEVH3ToMbqtpMwwxDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:47.800752Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.2939","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d70bff24dba2d62d2ea4bd7444fe0630f17ad2948346960f31ae313613c976a0","sha256:3de61b1e77afca582f74941361ac26c903cc951caf060ba4872809a70c9d4b7f"],"state_sha256":"6766eac9d97312cfe1c6b02ab911a3886fed71f3c2d995f7a97aa688652ccd93"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HvXAjzbadcrhP0x7sz0Mqrx8r60rIbjaL4cMd8PNU/yQ8fWKYLYq5pBM/qpoj2uGqyyYtx5sOtnnXF/eFwZFAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T09:50:08.794155Z","bundle_sha256":"14adf2a6e6897437e0f0108bb300d5b257cf5920491edc60d2703ac50b46427c"}}