{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:55JNZL3ITZ45K4MPHOZLVCVATM","short_pith_number":"pith:55JNZL3I","canonical_record":{"source":{"id":"1804.05291","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-04-15T00:25:13Z","cross_cats_sorted":[],"title_canon_sha256":"79a3431f7ea991757b1c23d3255c26c9fbc331aaddf6aa7f35c3b211bc7307fa","abstract_canon_sha256":"a51cf97a4634db4ecdc22fff8cd6103b8bfc7a7693effd127d02d3551e4b8065"},"schema_version":"1.0"},"canonical_sha256":"ef52dcaf689e79d5718f3bb2ba8aa09b37c03b1ee7a0ffc3f899c810f3741877","source":{"kind":"arxiv","id":"1804.05291","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.05291","created_at":"2026-05-18T00:13:59Z"},{"alias_kind":"arxiv_version","alias_value":"1804.05291v2","created_at":"2026-05-18T00:13:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.05291","created_at":"2026-05-18T00:13:59Z"},{"alias_kind":"pith_short_12","alias_value":"55JNZL3ITZ45","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"55JNZL3ITZ45K4MP","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"55JNZL3I","created_at":"2026-05-18T12:32:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:55JNZL3ITZ45K4MPHOZLVCVATM","target":"record","payload":{"canonical_record":{"source":{"id":"1804.05291","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-04-15T00:25:13Z","cross_cats_sorted":[],"title_canon_sha256":"79a3431f7ea991757b1c23d3255c26c9fbc331aaddf6aa7f35c3b211bc7307fa","abstract_canon_sha256":"a51cf97a4634db4ecdc22fff8cd6103b8bfc7a7693effd127d02d3551e4b8065"},"schema_version":"1.0"},"canonical_sha256":"ef52dcaf689e79d5718f3bb2ba8aa09b37c03b1ee7a0ffc3f899c810f3741877","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:59.962814Z","signature_b64":"WnhQbVuuvq9dcMFiRrNOZYvvm2SDWNo6d4LTImX8KXDnSZIsLDOCQVZ9YIYotxTdknTW8sczxvunBGdC00RxAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef52dcaf689e79d5718f3bb2ba8aa09b37c03b1ee7a0ffc3f899c810f3741877","last_reissued_at":"2026-05-18T00:13:59.961809Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:59.961809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.05291","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":"2026-05-18T00:13:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LZOAk3BpmCajV+sDQtolpGYh2PMJdqZs551u0HEuW4UiT8ZtA3SVqxyelqXN4Nps9NT97Vn1UimxJvamVQFbCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T08:16:39.464864Z"},"content_sha256":"9345eb5dfc2cc46b0a35f86d830af82940668633f51a5cef862914daebb55ab6","schema_version":"1.0","event_id":"sha256:9345eb5dfc2cc46b0a35f86d830af82940668633f51a5cef862914daebb55ab6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:55JNZL3ITZ45K4MPHOZLVCVATM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A data-driven Koopman model predictive control framework for nonlinear flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Hassan Arbabi, Igor Mezic, Milan Korda","submitted_at":"2018-04-15T00:25:13Z","abstract_excerpt":"The Koopman operator theory is an increasingly popular formalism of dynamical systems theory which enables analysis and prediction of the nonlinear dynamics from measurement data. Building on the recent development of the Koopman model predictive control framework (Korda and Mezic 2016), we propose a methodology for closed-loop feedback control of nonlinear flows in a fully data-driven and model-free manner. In the first step, we compute a Koopman-linear representation of the control system using a variation of the extended dynamic mode decomposition algorithm and then we apply model predictiv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.05291","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":"2026-05-18T00:13:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GBX6zF7zzjE7tzkkjH93Yeq7evu06YA4Wd42vp77bsnEMTQCmGXTwmmChK4nsqi7ie5mmNmFs4Ux6FZQzJCVBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T08:16:39.465858Z"},"content_sha256":"44fd197b225dc4d0e80cbd95a0c936958ba84ff7386dd702c8cf5f45009e2999","schema_version":"1.0","event_id":"sha256:44fd197b225dc4d0e80cbd95a0c936958ba84ff7386dd702c8cf5f45009e2999"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/55JNZL3ITZ45K4MPHOZLVCVATM/bundle.json","state_url":"https://pith.science/pith/55JNZL3ITZ45K4MPHOZLVCVATM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/55JNZL3ITZ45K4MPHOZLVCVATM/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":"2026-05-26T08:16:39Z","links":{"resolver":"https://pith.science/pith/55JNZL3ITZ45K4MPHOZLVCVATM","bundle":"https://pith.science/pith/55JNZL3ITZ45K4MPHOZLVCVATM/bundle.json","state":"https://pith.science/pith/55JNZL3ITZ45K4MPHOZLVCVATM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/55JNZL3ITZ45K4MPHOZLVCVATM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:55JNZL3ITZ45K4MPHOZLVCVATM","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":"a51cf97a4634db4ecdc22fff8cd6103b8bfc7a7693effd127d02d3551e4b8065","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-04-15T00:25:13Z","title_canon_sha256":"79a3431f7ea991757b1c23d3255c26c9fbc331aaddf6aa7f35c3b211bc7307fa"},"schema_version":"1.0","source":{"id":"1804.05291","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.05291","created_at":"2026-05-18T00:13:59Z"},{"alias_kind":"arxiv_version","alias_value":"1804.05291v2","created_at":"2026-05-18T00:13:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.05291","created_at":"2026-05-18T00:13:59Z"},{"alias_kind":"pith_short_12","alias_value":"55JNZL3ITZ45","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"55JNZL3ITZ45K4MP","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"55JNZL3I","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:44fd197b225dc4d0e80cbd95a0c936958ba84ff7386dd702c8cf5f45009e2999","target":"graph","created_at":"2026-05-18T00:13:59Z","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":"The Koopman operator theory is an increasingly popular formalism of dynamical systems theory which enables analysis and prediction of the nonlinear dynamics from measurement data. Building on the recent development of the Koopman model predictive control framework (Korda and Mezic 2016), we propose a methodology for closed-loop feedback control of nonlinear flows in a fully data-driven and model-free manner. In the first step, we compute a Koopman-linear representation of the control system using a variation of the extended dynamic mode decomposition algorithm and then we apply model predictiv","authors_text":"Hassan Arbabi, Igor Mezic, Milan Korda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-04-15T00:25:13Z","title":"A data-driven Koopman model predictive control framework for nonlinear flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.05291","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":"sha256:9345eb5dfc2cc46b0a35f86d830af82940668633f51a5cef862914daebb55ab6","target":"record","created_at":"2026-05-18T00:13:59Z","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":"a51cf97a4634db4ecdc22fff8cd6103b8bfc7a7693effd127d02d3551e4b8065","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-04-15T00:25:13Z","title_canon_sha256":"79a3431f7ea991757b1c23d3255c26c9fbc331aaddf6aa7f35c3b211bc7307fa"},"schema_version":"1.0","source":{"id":"1804.05291","kind":"arxiv","version":2}},"canonical_sha256":"ef52dcaf689e79d5718f3bb2ba8aa09b37c03b1ee7a0ffc3f899c810f3741877","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef52dcaf689e79d5718f3bb2ba8aa09b37c03b1ee7a0ffc3f899c810f3741877","first_computed_at":"2026-05-18T00:13:59.961809Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:59.961809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WnhQbVuuvq9dcMFiRrNOZYvvm2SDWNo6d4LTImX8KXDnSZIsLDOCQVZ9YIYotxTdknTW8sczxvunBGdC00RxAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:59.962814Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.05291","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9345eb5dfc2cc46b0a35f86d830af82940668633f51a5cef862914daebb55ab6","sha256:44fd197b225dc4d0e80cbd95a0c936958ba84ff7386dd702c8cf5f45009e2999"],"state_sha256":"410ae8e128f187a98e37cd646411f937cacbd9ef654c969ed2a606818c639217"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ihaa5t5kn9x3VoVSmzIK3VEqOIp7m+Qzn7Itwx7Dtf9fXYQfeBs6utwYWu2HfC5m+33PF22b0USSaKpiRCRrBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T08:16:39.470042Z","bundle_sha256":"3c238f863d56e8bd58dfc51eb703f461724181f0a31b7b6d15a0008a89feab9e"}}