{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:P24F5UXQBVUSW6L6HYDURN2RE2","short_pith_number":"pith:P24F5UXQ","canonical_record":{"source":{"id":"1206.2729","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-06-13T06:48:59Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"c94e8d543781ceac5e7526ed0d5a8a8e740355efcec37b14c7b354296886c815","abstract_canon_sha256":"d50f2f641e1d7f7aa5fdfa43945cf70b3697b06966f6adf3b4269ce69281bcf3"},"schema_version":"1.0"},"canonical_sha256":"7eb85ed2f00d692b797e3e0748b75126bcadaa9e3b37e8fe38cb274c29f74225","source":{"kind":"arxiv","id":"1206.2729","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.2729","created_at":"2026-05-18T03:32:20Z"},{"alias_kind":"arxiv_version","alias_value":"1206.2729v2","created_at":"2026-05-18T03:32:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.2729","created_at":"2026-05-18T03:32:20Z"},{"alias_kind":"pith_short_12","alias_value":"P24F5UXQBVUS","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"P24F5UXQBVUSW6L6","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"P24F5UXQ","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:P24F5UXQBVUSW6L6HYDURN2RE2","target":"record","payload":{"canonical_record":{"source":{"id":"1206.2729","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-06-13T06:48:59Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"c94e8d543781ceac5e7526ed0d5a8a8e740355efcec37b14c7b354296886c815","abstract_canon_sha256":"d50f2f641e1d7f7aa5fdfa43945cf70b3697b06966f6adf3b4269ce69281bcf3"},"schema_version":"1.0"},"canonical_sha256":"7eb85ed2f00d692b797e3e0748b75126bcadaa9e3b37e8fe38cb274c29f74225","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:32:20.048526Z","signature_b64":"i14sfAEhQbin3W9/41pzT4ll6qrQoNqyduAipTHCqlp2xSncGTiqempxWJcHdEP+N5vynk1eT6IHlfgfSJNTBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7eb85ed2f00d692b797e3e0748b75126bcadaa9e3b37e8fe38cb274c29f74225","last_reissued_at":"2026-05-18T03:32:20.047986Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:32:20.047986Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.2729","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:32:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9nPIJbzFNFoOiCGrr4L4Uw4udC9zaDQku7wgHry4wYO5/uXAuTqf1EMtEklzgG4ti/mQHciN76s5rncFt1PnCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T11:01:08.244006Z"},"content_sha256":"2d59d87e94cdd63712658d7888bdafbce65623a09219acfc7c6c946a4424b54a","schema_version":"1.0","event_id":"sha256:2d59d87e94cdd63712658d7888bdafbce65623a09219acfc7c6c946a4424b54a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:P24F5UXQBVUSW6L6HYDURN2RE2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two tests for sequential detection of a change-point in a nonlinear model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Gabriela Ciuperca","submitted_at":"2012-06-13T06:48:59Z","abstract_excerpt":"In this paper, two tests, based on CUSUM of the residuals and least squares estimation, are studied to detect in real time a change-point in a nonlinear model. A first test statistic is proposed by extension of a method already used in the literature but for the linear models. It is tested the null hypothesis, at each sequential observation, that there is no change in the model against a change presence. The asymptotic distribution of the test statistic under the null hypothesis is given and its convergence in probability to infinity is proved when a change occurs. These results will allow to "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.2729","kind":"arxiv","version":2},"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":"2026-05-18T03:32:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OsF0wku6yjnKEcUZRzXFm6wDn7HUfu9XuYJkzSTeN3hZnnng+i1nc2cejaEb8LTaGnsbA3lq8MC6zqxQ3MNIDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T11:01:08.244502Z"},"content_sha256":"18ed6e96142abb7a43e2b8705d9bdde8eda63077697d31f42f8dae11d5cc4c8e","schema_version":"1.0","event_id":"sha256:18ed6e96142abb7a43e2b8705d9bdde8eda63077697d31f42f8dae11d5cc4c8e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P24F5UXQBVUSW6L6HYDURN2RE2/bundle.json","state_url":"https://pith.science/pith/P24F5UXQBVUSW6L6HYDURN2RE2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P24F5UXQBVUSW6L6HYDURN2RE2/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":"2026-06-24T11:01:08Z","links":{"resolver":"https://pith.science/pith/P24F5UXQBVUSW6L6HYDURN2RE2","bundle":"https://pith.science/pith/P24F5UXQBVUSW6L6HYDURN2RE2/bundle.json","state":"https://pith.science/pith/P24F5UXQBVUSW6L6HYDURN2RE2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P24F5UXQBVUSW6L6HYDURN2RE2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:P24F5UXQBVUSW6L6HYDURN2RE2","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":"d50f2f641e1d7f7aa5fdfa43945cf70b3697b06966f6adf3b4269ce69281bcf3","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-06-13T06:48:59Z","title_canon_sha256":"c94e8d543781ceac5e7526ed0d5a8a8e740355efcec37b14c7b354296886c815"},"schema_version":"1.0","source":{"id":"1206.2729","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.2729","created_at":"2026-05-18T03:32:20Z"},{"alias_kind":"arxiv_version","alias_value":"1206.2729v2","created_at":"2026-05-18T03:32:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.2729","created_at":"2026-05-18T03:32:20Z"},{"alias_kind":"pith_short_12","alias_value":"P24F5UXQBVUS","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"P24F5UXQBVUSW6L6","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"P24F5UXQ","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:18ed6e96142abb7a43e2b8705d9bdde8eda63077697d31f42f8dae11d5cc4c8e","target":"graph","created_at":"2026-05-18T03:32:20Z","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":"In this paper, two tests, based on CUSUM of the residuals and least squares estimation, are studied to detect in real time a change-point in a nonlinear model. A first test statistic is proposed by extension of a method already used in the literature but for the linear models. It is tested the null hypothesis, at each sequential observation, that there is no change in the model against a change presence. The asymptotic distribution of the test statistic under the null hypothesis is given and its convergence in probability to infinity is proved when a change occurs. These results will allow to ","authors_text":"Gabriela Ciuperca","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-06-13T06:48:59Z","title":"Two tests for sequential detection of a change-point in a nonlinear model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.2729","kind":"arxiv","version":2},"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":"sha256:2d59d87e94cdd63712658d7888bdafbce65623a09219acfc7c6c946a4424b54a","target":"record","created_at":"2026-05-18T03:32:20Z","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":"d50f2f641e1d7f7aa5fdfa43945cf70b3697b06966f6adf3b4269ce69281bcf3","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-06-13T06:48:59Z","title_canon_sha256":"c94e8d543781ceac5e7526ed0d5a8a8e740355efcec37b14c7b354296886c815"},"schema_version":"1.0","source":{"id":"1206.2729","kind":"arxiv","version":2}},"canonical_sha256":"7eb85ed2f00d692b797e3e0748b75126bcadaa9e3b37e8fe38cb274c29f74225","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7eb85ed2f00d692b797e3e0748b75126bcadaa9e3b37e8fe38cb274c29f74225","first_computed_at":"2026-05-18T03:32:20.047986Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:32:20.047986Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i14sfAEhQbin3W9/41pzT4ll6qrQoNqyduAipTHCqlp2xSncGTiqempxWJcHdEP+N5vynk1eT6IHlfgfSJNTBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:32:20.048526Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.2729","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d59d87e94cdd63712658d7888bdafbce65623a09219acfc7c6c946a4424b54a","sha256:18ed6e96142abb7a43e2b8705d9bdde8eda63077697d31f42f8dae11d5cc4c8e"],"state_sha256":"af55e3cc45cb7075eb3fd6fc27dd8130ba7f1cbd8f8af1e963c3a6521c1b688e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0CzAZ8N4cPw7C/juyGEuxTo3asGCQ0o1R4qOGOLASd3LT5S6pJ+jaLVzEY34HU21YEAc26pb/zqh2SGxi+v2DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T11:01:08.247114Z","bundle_sha256":"5a9a8559f702b39a28e4723980b8d50aa50d8a15baf039f0861241b83e64b456"}}