{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:MSKA6VQPFQB24WEZPF6LEVQPYR","short_pith_number":"pith:MSKA6VQP","canonical_record":{"source":{"id":"1804.10758","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2018-04-28T07:52:23Z","cross_cats_sorted":[],"title_canon_sha256":"f0a5de60650ea4d36046227911d49fc773cae83620f9dc931e0eb47507329f75","abstract_canon_sha256":"1489a196f36c7d80a28a78a2abdbd566647717ab25b8fbaf31998a79d2496d40"},"schema_version":"1.0"},"canonical_sha256":"64940f560f2c03ae5899797cb2560fc44edef4f6837c16271c63910f7f9e87f6","source":{"kind":"arxiv","id":"1804.10758","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.10758","created_at":"2026-05-18T00:17:15Z"},{"alias_kind":"arxiv_version","alias_value":"1804.10758v1","created_at":"2026-05-18T00:17:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.10758","created_at":"2026-05-18T00:17:15Z"},{"alias_kind":"pith_short_12","alias_value":"MSKA6VQPFQB2","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"MSKA6VQPFQB24WEZ","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"MSKA6VQP","created_at":"2026-05-18T12:32:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:MSKA6VQPFQB24WEZPF6LEVQPYR","target":"record","payload":{"canonical_record":{"source":{"id":"1804.10758","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2018-04-28T07:52:23Z","cross_cats_sorted":[],"title_canon_sha256":"f0a5de60650ea4d36046227911d49fc773cae83620f9dc931e0eb47507329f75","abstract_canon_sha256":"1489a196f36c7d80a28a78a2abdbd566647717ab25b8fbaf31998a79d2496d40"},"schema_version":"1.0"},"canonical_sha256":"64940f560f2c03ae5899797cb2560fc44edef4f6837c16271c63910f7f9e87f6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:15.658749Z","signature_b64":"7Sn6qCSEt74f6kVEavH40NwrT12ekOQnIDOz7PB/Giu1VdbiP4n7IktFovaGrg+ytVz8y0vyxTlsWYlOhZFJAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"64940f560f2c03ae5899797cb2560fc44edef4f6837c16271c63910f7f9e87f6","last_reissued_at":"2026-05-18T00:17:15.658275Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:15.658275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.10758","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":"2026-05-18T00:17:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rvD+YBdv1vIM8OR3BxmK7oGQJJ+/QGtDLiT59SUHl6vY/Qtjqt1Dke/pyjFfyKVAIDiliqVc3X4xCwp2DEZSBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T12:56:13.155716Z"},"content_sha256":"3ab86c0339659edfa1cc6670f019859a3dc5291aa33a20e6a556213111617e35","schema_version":"1.0","event_id":"sha256:3ab86c0339659edfa1cc6670f019859a3dc5291aa33a20e6a556213111617e35"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:MSKA6VQPFQB24WEZPF6LEVQPYR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Grey-box state-space identification of nonlinear mechanical vibrations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SY","authors_text":"Jean-Philippe No\\\"el, Johan Schoukens","submitted_at":"2018-04-28T07:52:23Z","abstract_excerpt":"The present paper deals with the identification of nonlinear mechanical vibrations. A grey-box, or semi-physical, nonlinear state-space representation is introduced, expressing the nonlinear basis functions using a limited number of measured output variables. This representation assumes that the observed nonlinearities are localised in physical space, which is a generic case in mechanics. A two-step identification procedure is derived for the grey-box model parameters, integrating nonlinear subspace initialisation and weighted least-squares optimisation. The complete procedure is applied to an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.10758","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":"2026-05-18T00:17:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0TKWy0QQ/MSUMIYBHTAxKbe+4S1IgXC9PBHY9fnJ5TdJmLq4OeR5Kgu+GDJPIHO8fW45ZK0CnnYtmtZC7Kb+CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T12:56:13.156057Z"},"content_sha256":"c85a0c83a5fa81c4d962db5123a20e583ffc69c7eead1e84164e305698b1e027","schema_version":"1.0","event_id":"sha256:c85a0c83a5fa81c4d962db5123a20e583ffc69c7eead1e84164e305698b1e027"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MSKA6VQPFQB24WEZPF6LEVQPYR/bundle.json","state_url":"https://pith.science/pith/MSKA6VQPFQB24WEZPF6LEVQPYR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MSKA6VQPFQB24WEZPF6LEVQPYR/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":"2026-06-09T12:56:13Z","links":{"resolver":"https://pith.science/pith/MSKA6VQPFQB24WEZPF6LEVQPYR","bundle":"https://pith.science/pith/MSKA6VQPFQB24WEZPF6LEVQPYR/bundle.json","state":"https://pith.science/pith/MSKA6VQPFQB24WEZPF6LEVQPYR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MSKA6VQPFQB24WEZPF6LEVQPYR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MSKA6VQPFQB24WEZPF6LEVQPYR","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":"1489a196f36c7d80a28a78a2abdbd566647717ab25b8fbaf31998a79d2496d40","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2018-04-28T07:52:23Z","title_canon_sha256":"f0a5de60650ea4d36046227911d49fc773cae83620f9dc931e0eb47507329f75"},"schema_version":"1.0","source":{"id":"1804.10758","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.10758","created_at":"2026-05-18T00:17:15Z"},{"alias_kind":"arxiv_version","alias_value":"1804.10758v1","created_at":"2026-05-18T00:17:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.10758","created_at":"2026-05-18T00:17:15Z"},{"alias_kind":"pith_short_12","alias_value":"MSKA6VQPFQB2","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"MSKA6VQPFQB24WEZ","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"MSKA6VQP","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:c85a0c83a5fa81c4d962db5123a20e583ffc69c7eead1e84164e305698b1e027","target":"graph","created_at":"2026-05-18T00:17:15Z","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":"The present paper deals with the identification of nonlinear mechanical vibrations. A grey-box, or semi-physical, nonlinear state-space representation is introduced, expressing the nonlinear basis functions using a limited number of measured output variables. This representation assumes that the observed nonlinearities are localised in physical space, which is a generic case in mechanics. A two-step identification procedure is derived for the grey-box model parameters, integrating nonlinear subspace initialisation and weighted least-squares optimisation. The complete procedure is applied to an","authors_text":"Jean-Philippe No\\\"el, Johan Schoukens","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2018-04-28T07:52:23Z","title":"Grey-box state-space identification of nonlinear mechanical vibrations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.10758","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":"sha256:3ab86c0339659edfa1cc6670f019859a3dc5291aa33a20e6a556213111617e35","target":"record","created_at":"2026-05-18T00:17:15Z","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":"1489a196f36c7d80a28a78a2abdbd566647717ab25b8fbaf31998a79d2496d40","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2018-04-28T07:52:23Z","title_canon_sha256":"f0a5de60650ea4d36046227911d49fc773cae83620f9dc931e0eb47507329f75"},"schema_version":"1.0","source":{"id":"1804.10758","kind":"arxiv","version":1}},"canonical_sha256":"64940f560f2c03ae5899797cb2560fc44edef4f6837c16271c63910f7f9e87f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64940f560f2c03ae5899797cb2560fc44edef4f6837c16271c63910f7f9e87f6","first_computed_at":"2026-05-18T00:17:15.658275Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:15.658275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7Sn6qCSEt74f6kVEavH40NwrT12ekOQnIDOz7PB/Giu1VdbiP4n7IktFovaGrg+ytVz8y0vyxTlsWYlOhZFJAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:15.658749Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.10758","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ab86c0339659edfa1cc6670f019859a3dc5291aa33a20e6a556213111617e35","sha256:c85a0c83a5fa81c4d962db5123a20e583ffc69c7eead1e84164e305698b1e027"],"state_sha256":"46f6a4e3ffb06da6061ece81b144104c03c491bd86baa026938bddf095d26c15"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6ac6RVRJ/6nCAe+yaxRtcssx+kps/xugsfGnwaT0S2R1RbIWBJJ4qax2/5oMTRVqXRUB0wmYNU4nwMdcFiGADQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T12:56:13.157924Z","bundle_sha256":"67eda871bcd01c5f00a2a324edd4ca3e1bae3eef14cbb1979faf1012d5d484ff"}}