{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:VTIFO6D5WBCFRDTLMGYIKSYK46","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":"03884b8caadfcf635cc34ad24a4a573d6c3859d493a4249495c6ad1d6dba8e9e","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2009-12-07T07:57:08Z","title_canon_sha256":"b7956aa841d041b09fb93552aba0a3f58dae3ed81a8059c0a47629bdb716d852"},"schema_version":"1.0","source":{"id":"0912.1178","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.1178","created_at":"2026-05-18T01:04:59Z"},{"alias_kind":"arxiv_version","alias_value":"0912.1178v1","created_at":"2026-05-18T01:04:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.1178","created_at":"2026-05-18T01:04:59Z"},{"alias_kind":"pith_short_12","alias_value":"VTIFO6D5WBCF","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"VTIFO6D5WBCFRDTL","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"VTIFO6D5","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:4936dbbd49f31aaa577c64205bf12d76a022620c23035156336d46b5f80f551b","target":"graph","created_at":"2026-05-18T01:04:59Z","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":"Elementary techniques from operational calculus, differential algebra, and noncommutative algebra lead to a new approach for change-point detection, which is an important field of investigation in various areas of applied sciences and engineering. Several successful numerical experiments are presented.","authors_text":"C\\'edric Join (INRIA Saclay - Ile de France, CRAN), INRIA Saclay - Ile de France), Mamadou Mboup (INRIA Saclay - Ile de France), Michel Fliess (LIX","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2009-12-07T07:57:08Z","title":"Algebraic Change-Point Detection"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.1178","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":"sha256:0e2743caf8ef36b17b30ceafc2e35e320651ad58d68ef09a6349bb01d1781f73","target":"record","created_at":"2026-05-18T01:04:59Z","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":"03884b8caadfcf635cc34ad24a4a573d6c3859d493a4249495c6ad1d6dba8e9e","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2009-12-07T07:57:08Z","title_canon_sha256":"b7956aa841d041b09fb93552aba0a3f58dae3ed81a8059c0a47629bdb716d852"},"schema_version":"1.0","source":{"id":"0912.1178","kind":"arxiv","version":1}},"canonical_sha256":"acd057787db044588e6b61b0854b0ae785669c6689f27f986ee797f79e7c3bd0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"acd057787db044588e6b61b0854b0ae785669c6689f27f986ee797f79e7c3bd0","first_computed_at":"2026-05-18T01:04:59.428484Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:59.428484Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"28giltSIDBPYnjMRDDKMXfSel5pH/JIqC2jNf7zELaqaIzB+tJ2xXIf1lz7E2fJ6BpEcVc8E0LG6imgT8CZpBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:59.429070Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.1178","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e2743caf8ef36b17b30ceafc2e35e320651ad58d68ef09a6349bb01d1781f73","sha256:4936dbbd49f31aaa577c64205bf12d76a022620c23035156336d46b5f80f551b"],"state_sha256":"ae05c669ba6d0c9066446e2ccd66be85fae0e6df87083c1972aeac78ad3ae040"}