{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:RJJYE2HSY26S7B24BL7CCDJ2TY","short_pith_number":"pith:RJJYE2HS","canonical_record":{"source":{"id":"1408.6937","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-08-29T07:36:22Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"5d944672d71dc7095f79c1395cf5b1031fa376134766f553798baa5054d6fc7e","abstract_canon_sha256":"8338134d8ba86857e5cb6563f60f823319b4c9adcf011b89374e85f91b03ab8c"},"schema_version":"1.0"},"canonical_sha256":"8a538268f2c6bd2f875c0afe210d3a9e09667bece91ef55a7cc7cb6d7a281d2e","source":{"kind":"arxiv","id":"1408.6937","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.6937","created_at":"2026-05-18T02:39:33Z"},{"alias_kind":"arxiv_version","alias_value":"1408.6937v3","created_at":"2026-05-18T02:39:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.6937","created_at":"2026-05-18T02:39:33Z"},{"alias_kind":"pith_short_12","alias_value":"RJJYE2HSY26S","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RJJYE2HSY26S7B24","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RJJYE2HS","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:RJJYE2HSY26S7B24BL7CCDJ2TY","target":"record","payload":{"canonical_record":{"source":{"id":"1408.6937","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-08-29T07:36:22Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"5d944672d71dc7095f79c1395cf5b1031fa376134766f553798baa5054d6fc7e","abstract_canon_sha256":"8338134d8ba86857e5cb6563f60f823319b4c9adcf011b89374e85f91b03ab8c"},"schema_version":"1.0"},"canonical_sha256":"8a538268f2c6bd2f875c0afe210d3a9e09667bece91ef55a7cc7cb6d7a281d2e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:33.336041Z","signature_b64":"n/iSY+o0eYjF0BqNMbNX9OCFuZJYj9urbVJgk09qmOXzQnsDkJwrVZXpvBS2delr4/yylA9fLk82XvuSItA+Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a538268f2c6bd2f875c0afe210d3a9e09667bece91ef55a7cc7cb6d7a281d2e","last_reissued_at":"2026-05-18T02:39:33.335524Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:33.335524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.6937","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:39:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EAD4+xy8TSNzW1YKcd5eUcmyms3iIneD1xOwGGUwOsb90s83hAJnTCspSl38TNkL3dZmfGaFkuyDYpV4gY5WCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T12:51:58.401706Z"},"content_sha256":"e2345fc9b9e29000be9cd4723448540d783a3e92d21eb06f1f0f4d48f92c01f7","schema_version":"1.0","event_id":"sha256:e2345fc9b9e29000be9cd4723448540d783a3e92d21eb06f1f0f4d48f92c01f7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:RJJYE2HSY26S7B24BL7CCDJ2TY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An Exact Formula for the Average Run Length to False Alarm of the Generalized Shiryaev-Roberts Procedure for Change-Point Detection under Exponential Observations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"stat.ME","authors_text":"Aleksey S. Polunchenko, Grigory Sokolov, Wenyu Du","submitted_at":"2014-08-29T07:36:22Z","abstract_excerpt":"We derive analytically an exact closed-form formula for the standard minimax Average Run Length (ARL) to false alarm delivered by the Generalized Shiryaev-Roberts (GSR) change-point detection procedure devised to detect a shift in the baseline mean of a sequence of independent exponentially distributed observations. Specifically, the formula is found through direct solution of the respective integral (renewal) equation, and is a general result in that the GSR procedure's headstart is not restricted to a bounded range, nor is there a \"ceiling\" value for the detection threshold. Apart from the t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.6937","kind":"arxiv","version":3},"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":"2026-05-18T02:39:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rkNG2+xhSSSPlTwAk/mmdeuNqYuugzb3PIi0JuMLqF5udqHIaOlVKJ9dfxfbV0/E1MkSO/IBg0bKBVfVvhz1CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T12:51:58.402124Z"},"content_sha256":"ad59dcf44952948488978b6c0f2f28e61a8d2cd83d503d9354e5df5172c5d8a3","schema_version":"1.0","event_id":"sha256:ad59dcf44952948488978b6c0f2f28e61a8d2cd83d503d9354e5df5172c5d8a3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RJJYE2HSY26S7B24BL7CCDJ2TY/bundle.json","state_url":"https://pith.science/pith/RJJYE2HSY26S7B24BL7CCDJ2TY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RJJYE2HSY26S7B24BL7CCDJ2TY/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":"2026-06-06T12:51:58Z","links":{"resolver":"https://pith.science/pith/RJJYE2HSY26S7B24BL7CCDJ2TY","bundle":"https://pith.science/pith/RJJYE2HSY26S7B24BL7CCDJ2TY/bundle.json","state":"https://pith.science/pith/RJJYE2HSY26S7B24BL7CCDJ2TY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RJJYE2HSY26S7B24BL7CCDJ2TY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RJJYE2HSY26S7B24BL7CCDJ2TY","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":"8338134d8ba86857e5cb6563f60f823319b4c9adcf011b89374e85f91b03ab8c","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-08-29T07:36:22Z","title_canon_sha256":"5d944672d71dc7095f79c1395cf5b1031fa376134766f553798baa5054d6fc7e"},"schema_version":"1.0","source":{"id":"1408.6937","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.6937","created_at":"2026-05-18T02:39:33Z"},{"alias_kind":"arxiv_version","alias_value":"1408.6937v3","created_at":"2026-05-18T02:39:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.6937","created_at":"2026-05-18T02:39:33Z"},{"alias_kind":"pith_short_12","alias_value":"RJJYE2HSY26S","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RJJYE2HSY26S7B24","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RJJYE2HS","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:ad59dcf44952948488978b6c0f2f28e61a8d2cd83d503d9354e5df5172c5d8a3","target":"graph","created_at":"2026-05-18T02:39:33Z","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":"We derive analytically an exact closed-form formula for the standard minimax Average Run Length (ARL) to false alarm delivered by the Generalized Shiryaev-Roberts (GSR) change-point detection procedure devised to detect a shift in the baseline mean of a sequence of independent exponentially distributed observations. Specifically, the formula is found through direct solution of the respective integral (renewal) equation, and is a general result in that the GSR procedure's headstart is not restricted to a bounded range, nor is there a \"ceiling\" value for the detection threshold. Apart from the t","authors_text":"Aleksey S. Polunchenko, Grigory Sokolov, Wenyu Du","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-08-29T07:36:22Z","title":"An Exact Formula for the Average Run Length to False Alarm of the Generalized Shiryaev-Roberts Procedure for Change-Point Detection under Exponential Observations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.6937","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:e2345fc9b9e29000be9cd4723448540d783a3e92d21eb06f1f0f4d48f92c01f7","target":"record","created_at":"2026-05-18T02:39:33Z","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":"8338134d8ba86857e5cb6563f60f823319b4c9adcf011b89374e85f91b03ab8c","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-08-29T07:36:22Z","title_canon_sha256":"5d944672d71dc7095f79c1395cf5b1031fa376134766f553798baa5054d6fc7e"},"schema_version":"1.0","source":{"id":"1408.6937","kind":"arxiv","version":3}},"canonical_sha256":"8a538268f2c6bd2f875c0afe210d3a9e09667bece91ef55a7cc7cb6d7a281d2e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a538268f2c6bd2f875c0afe210d3a9e09667bece91ef55a7cc7cb6d7a281d2e","first_computed_at":"2026-05-18T02:39:33.335524Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:33.335524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n/iSY+o0eYjF0BqNMbNX9OCFuZJYj9urbVJgk09qmOXzQnsDkJwrVZXpvBS2delr4/yylA9fLk82XvuSItA+Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:33.336041Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.6937","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2345fc9b9e29000be9cd4723448540d783a3e92d21eb06f1f0f4d48f92c01f7","sha256:ad59dcf44952948488978b6c0f2f28e61a8d2cd83d503d9354e5df5172c5d8a3"],"state_sha256":"0511e596d6977755916657b65d1e759d9d97022f7f777d0064b5d36ddbb45337"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KuGXgYS0N1E8Ih+pGLKAh7lfmH2lKMqmGEa1H1pO26a5xs+5bn4C5pbDfyVG9daU0KqRUwHkLhKgA2KqE59BCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T12:51:58.404111Z","bundle_sha256":"1ca08dfe21889dcff5b1205ed69f9c0d0686cb73ad6a9a55a040d656ecd01a5c"}}