{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:6JJ4AUXV7AH4RY2RT2SJH5I5XP","short_pith_number":"pith:6JJ4AUXV","canonical_record":{"source":{"id":"1809.01975","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-09-05T14:58:04Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"ad44a298e859b2693894750f3d4fcbd8d7b797b9a10f9781df4f2cefbf0ab48c","abstract_canon_sha256":"5ab6d11d4a6fc0368f560654d48cb53718cd4f75593b3a12eaa8b0fa42c48066"},"schema_version":"1.0"},"canonical_sha256":"f253c052f5f80fc8e3519ea493f51dbbc8061f5500bbac23461be6c085a48b1e","source":{"kind":"arxiv","id":"1809.01975","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.01975","created_at":"2026-05-18T00:06:21Z"},{"alias_kind":"arxiv_version","alias_value":"1809.01975v1","created_at":"2026-05-18T00:06:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.01975","created_at":"2026-05-18T00:06:21Z"},{"alias_kind":"pith_short_12","alias_value":"6JJ4AUXV7AH4","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"6JJ4AUXV7AH4RY2R","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"6JJ4AUXV","created_at":"2026-05-18T12:32:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:6JJ4AUXV7AH4RY2RT2SJH5I5XP","target":"record","payload":{"canonical_record":{"source":{"id":"1809.01975","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-09-05T14:58:04Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"ad44a298e859b2693894750f3d4fcbd8d7b797b9a10f9781df4f2cefbf0ab48c","abstract_canon_sha256":"5ab6d11d4a6fc0368f560654d48cb53718cd4f75593b3a12eaa8b0fa42c48066"},"schema_version":"1.0"},"canonical_sha256":"f253c052f5f80fc8e3519ea493f51dbbc8061f5500bbac23461be6c085a48b1e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:21.584533Z","signature_b64":"/xvDvP+OH7cRZduXeGvAzl7jb7WYsek1GDLYl9+11EZnuZ4WLbuogJB+O8yOqYInEm5Tj4ooCZ6Moh5S2JuyBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f253c052f5f80fc8e3519ea493f51dbbc8061f5500bbac23461be6c085a48b1e","last_reissued_at":"2026-05-18T00:06:21.583952Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:21.583952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.01975","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":"2026-05-18T00:06:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mzdEDTRNTJwLpwz6nePHnhl/sMnWrvhyuHc7k+3FQQ3OpoN9dwKCg3ckD+/PeEXjOhMC6GriICEqTlcihis8Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T11:20:23.526546Z"},"content_sha256":"62597684acfaa7bdd9b5c1e15e187bfa12c070c4c45053f676393366d8fd336b","schema_version":"1.0","event_id":"sha256:62597684acfaa7bdd9b5c1e15e187bfa12c070c4c45053f676393366d8fd336b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:6JJ4AUXV7AH4RY2RT2SJH5I5XP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A change-point problem and inference for segment signals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Victor-Emmanuel Brunel","submitted_at":"2018-09-05T14:58:04Z","abstract_excerpt":"We address the problem of detection and estimation of one or two change-points in the mean of a series of random variables. We use the formalism of set estimation in regression: To each point of a design is attached a binary label that indicates whether that point belongs to an unknown segment and this label is contaminated with noise. The endpoints of the unknown segment are the change-points. We study the minimal size of the segment which allows statistical detection in different scenarios, including when the endpoints are separated from the boundary of the domain of the design, or when they"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.01975","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":"2026-05-18T00:06:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Tx+E8qWLhca26l7z3lksHieYlICcwVr59PL+Tvcz6R+zj/sr1XmlVjraj/ZZmhdZMAM4jNMktYNx3FovIlCCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T11:20:23.527131Z"},"content_sha256":"2f43bd487b248ee3f8d58512d8e3ddbf6d362adf36e8ea81c7a5dd2f1a930a22","schema_version":"1.0","event_id":"sha256:2f43bd487b248ee3f8d58512d8e3ddbf6d362adf36e8ea81c7a5dd2f1a930a22"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6JJ4AUXV7AH4RY2RT2SJH5I5XP/bundle.json","state_url":"https://pith.science/pith/6JJ4AUXV7AH4RY2RT2SJH5I5XP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6JJ4AUXV7AH4RY2RT2SJH5I5XP/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":"2026-05-27T11:20:23Z","links":{"resolver":"https://pith.science/pith/6JJ4AUXV7AH4RY2RT2SJH5I5XP","bundle":"https://pith.science/pith/6JJ4AUXV7AH4RY2RT2SJH5I5XP/bundle.json","state":"https://pith.science/pith/6JJ4AUXV7AH4RY2RT2SJH5I5XP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6JJ4AUXV7AH4RY2RT2SJH5I5XP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:6JJ4AUXV7AH4RY2RT2SJH5I5XP","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":"5ab6d11d4a6fc0368f560654d48cb53718cd4f75593b3a12eaa8b0fa42c48066","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-09-05T14:58:04Z","title_canon_sha256":"ad44a298e859b2693894750f3d4fcbd8d7b797b9a10f9781df4f2cefbf0ab48c"},"schema_version":"1.0","source":{"id":"1809.01975","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.01975","created_at":"2026-05-18T00:06:21Z"},{"alias_kind":"arxiv_version","alias_value":"1809.01975v1","created_at":"2026-05-18T00:06:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.01975","created_at":"2026-05-18T00:06:21Z"},{"alias_kind":"pith_short_12","alias_value":"6JJ4AUXV7AH4","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"6JJ4AUXV7AH4RY2R","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"6JJ4AUXV","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:2f43bd487b248ee3f8d58512d8e3ddbf6d362adf36e8ea81c7a5dd2f1a930a22","target":"graph","created_at":"2026-05-18T00:06:21Z","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 address the problem of detection and estimation of one or two change-points in the mean of a series of random variables. We use the formalism of set estimation in regression: To each point of a design is attached a binary label that indicates whether that point belongs to an unknown segment and this label is contaminated with noise. The endpoints of the unknown segment are the change-points. We study the minimal size of the segment which allows statistical detection in different scenarios, including when the endpoints are separated from the boundary of the domain of the design, or when they","authors_text":"Victor-Emmanuel Brunel","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-09-05T14:58:04Z","title":"A change-point problem and inference for segment signals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.01975","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":"sha256:62597684acfaa7bdd9b5c1e15e187bfa12c070c4c45053f676393366d8fd336b","target":"record","created_at":"2026-05-18T00:06:21Z","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":"5ab6d11d4a6fc0368f560654d48cb53718cd4f75593b3a12eaa8b0fa42c48066","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-09-05T14:58:04Z","title_canon_sha256":"ad44a298e859b2693894750f3d4fcbd8d7b797b9a10f9781df4f2cefbf0ab48c"},"schema_version":"1.0","source":{"id":"1809.01975","kind":"arxiv","version":1}},"canonical_sha256":"f253c052f5f80fc8e3519ea493f51dbbc8061f5500bbac23461be6c085a48b1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f253c052f5f80fc8e3519ea493f51dbbc8061f5500bbac23461be6c085a48b1e","first_computed_at":"2026-05-18T00:06:21.583952Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:21.583952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/xvDvP+OH7cRZduXeGvAzl7jb7WYsek1GDLYl9+11EZnuZ4WLbuogJB+O8yOqYInEm5Tj4ooCZ6Moh5S2JuyBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:21.584533Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.01975","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:62597684acfaa7bdd9b5c1e15e187bfa12c070c4c45053f676393366d8fd336b","sha256:2f43bd487b248ee3f8d58512d8e3ddbf6d362adf36e8ea81c7a5dd2f1a930a22"],"state_sha256":"2afcaac8b83375c4083a848bdc8a22721a122a88d0c33e784238adbd31b9fe77"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HRrVEP5PihVuqmkOYwSmzAaT9rZkeDd+Wof23bfb1yqRZw1Ate3E9fyfJ2er0eYhdqZNCU/jnZdySaeJROd0BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T11:20:23.530236Z","bundle_sha256":"33301da7fe1cc6f5d3cfe00d6561a02092cdf03f8a3f9f1c14cebadb58609eaf"}}