{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:DDOYSWUD7HPN6FG3FRYPHRAWZB","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":"d01dda5b4e7536ad01894520186a8b6e09d704a471329e08fe3e8b2a84f6b0e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-05-09T11:01:32Z","title_canon_sha256":"a014094beb7799fab1673d618181508f7b538ddd3d7ff1319113c0f40eef2a24"},"schema_version":"1.0","source":{"id":"1205.1937","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.1937","created_at":"2026-05-18T03:55:58Z"},{"alias_kind":"arxiv_version","alias_value":"1205.1937v1","created_at":"2026-05-18T03:55:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.1937","created_at":"2026-05-18T03:55:58Z"},{"alias_kind":"pith_short_12","alias_value":"DDOYSWUD7HPN","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"DDOYSWUD7HPN6FG3","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"DDOYSWUD","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:70180fcf70311c45039273548cea97609ca7c598de5e69acb6958aa0cb59fdc8","target":"graph","created_at":"2026-05-18T03:55:58Z","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 show optimality, in a well-defined sense, using cumulative sum (CUSUM) charts for detecting changes in distributions. We consider a setting with multiple changes between two known distributions. This result advocates the use of non-restarting CUSUM charts with an upper boundary. Typically, after signalling, a CUSUM chart is restarted by setting it to some value below the threshold. A non-restarting CUSUM chart is not reset after signalling; thus is able to signal continuously. Imposing an upper boundary prevents the CUSUM chart rising too high, which facilitates detection in our setting. We","authors_text":"Axel Gandy, F. Din-Houn Lau","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-05-09T11:01:32Z","title":"Optimality of Non-Restarting CUSUM charts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.1937","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":"sha256:7ce255e4599d92aba4ac32caae091ee617cbba0849954cebad322d713f4339d6","target":"record","created_at":"2026-05-18T03:55:58Z","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":"d01dda5b4e7536ad01894520186a8b6e09d704a471329e08fe3e8b2a84f6b0e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2012-05-09T11:01:32Z","title_canon_sha256":"a014094beb7799fab1673d618181508f7b538ddd3d7ff1319113c0f40eef2a24"},"schema_version":"1.0","source":{"id":"1205.1937","kind":"arxiv","version":1}},"canonical_sha256":"18dd895a83f9dedf14db2c70f3c416c8569619f8a40b1b9723e4eca3856cf4c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"18dd895a83f9dedf14db2c70f3c416c8569619f8a40b1b9723e4eca3856cf4c5","first_computed_at":"2026-05-18T03:55:58.219877Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:58.219877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IWNZspEeMsUu+70e/7JS90+rj9BO2NUKtVyQIUtzzQHVXKyS/IAQg+TeoxNIuA4piNnbBxUPQ46wlkYw5FG+Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:58.220411Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.1937","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7ce255e4599d92aba4ac32caae091ee617cbba0849954cebad322d713f4339d6","sha256:70180fcf70311c45039273548cea97609ca7c598de5e69acb6958aa0cb59fdc8"],"state_sha256":"091a020b990dc19bb2bba7a82525fee91031592e8fdc1400166d3722597e3a2c"}