{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:VTIFO6D5WBCFRDTLMGYIKSYK46","short_pith_number":"pith:VTIFO6D5","canonical_record":{"source":{"id":"0912.1178","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2009-12-07T07:57:08Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"b7956aa841d041b09fb93552aba0a3f58dae3ed81a8059c0a47629bdb716d852","abstract_canon_sha256":"03884b8caadfcf635cc34ad24a4a573d6c3859d493a4249495c6ad1d6dba8e9e"},"schema_version":"1.0"},"canonical_sha256":"acd057787db044588e6b61b0854b0ae785669c6689f27f986ee797f79e7c3bd0","source":{"kind":"arxiv","id":"0912.1178","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:VTIFO6D5WBCFRDTLMGYIKSYK46","target":"record","payload":{"canonical_record":{"source":{"id":"0912.1178","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2009-12-07T07:57:08Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"b7956aa841d041b09fb93552aba0a3f58dae3ed81a8059c0a47629bdb716d852","abstract_canon_sha256":"03884b8caadfcf635cc34ad24a4a573d6c3859d493a4249495c6ad1d6dba8e9e"},"schema_version":"1.0"},"canonical_sha256":"acd057787db044588e6b61b0854b0ae785669c6689f27f986ee797f79e7c3bd0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:59.429070Z","signature_b64":"28giltSIDBPYnjMRDDKMXfSel5pH/JIqC2jNf7zELaqaIzB+tJ2xXIf1lz7E2fJ6BpEcVc8E0LG6imgT8CZpBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"acd057787db044588e6b61b0854b0ae785669c6689f27f986ee797f79e7c3bd0","last_reissued_at":"2026-05-18T01:04:59.428484Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:59.428484Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0912.1178","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":"2026-05-18T01:04:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3LevdGq068q+VfKN074hbf3Nm5+g88fhDX/nJD5DfFTc3LsmZ11UPg8zIf3/ZZs9ESVJQl4JyO9swZADzXS4BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T17:40:21.031901Z"},"content_sha256":"0e2743caf8ef36b17b30ceafc2e35e320651ad58d68ef09a6349bb01d1781f73","schema_version":"1.0","event_id":"sha256:0e2743caf8ef36b17b30ceafc2e35e320651ad58d68ef09a6349bb01d1781f73"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:VTIFO6D5WBCFRDTLMGYIKSYK46","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Algebraic Change-Point Detection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"cs.NA","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","submitted_at":"2009-12-07T07:57:08Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.1178","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":"2026-05-18T01:04:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ECc/glb5O21RT0NQYun1ni5G63raKqhBqMbj1n7vwWRAb6pyr94YdWmakTzM9niKnhhMwOcLaW6GDypsZ95BAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T17:40:21.032374Z"},"content_sha256":"4936dbbd49f31aaa577c64205bf12d76a022620c23035156336d46b5f80f551b","schema_version":"1.0","event_id":"sha256:4936dbbd49f31aaa577c64205bf12d76a022620c23035156336d46b5f80f551b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VTIFO6D5WBCFRDTLMGYIKSYK46/bundle.json","state_url":"https://pith.science/pith/VTIFO6D5WBCFRDTLMGYIKSYK46/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VTIFO6D5WBCFRDTLMGYIKSYK46/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":"2026-06-23T17:40:21Z","links":{"resolver":"https://pith.science/pith/VTIFO6D5WBCFRDTLMGYIKSYK46","bundle":"https://pith.science/pith/VTIFO6D5WBCFRDTLMGYIKSYK46/bundle.json","state":"https://pith.science/pith/VTIFO6D5WBCFRDTLMGYIKSYK46/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VTIFO6D5WBCFRDTLMGYIKSYK46/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k8y8+YKRm7q1HThfpXJUC26S2n4q67uof2GUdljll4uBMOhmiPQ3Lhnbg2sBtGFySGDpNUUaw/kz25m5ngEjCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T17:40:21.034786Z","bundle_sha256":"8c8693872b2bf4848d5c446b8a0d0298a7038b9af6d7dca7dbb317a0881a6c99"}}