{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:KI2MITENLAB6N6T7LB4NM363EM","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":"5d3c71a1b3b90b847131274279eb6ea8c7a91f612214ecce3b4eac2564e718c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2021-12-06T13:01:21Z","title_canon_sha256":"e69a107baf66a1d394b02e755c8e15b6b01d8aa542eb25faf0ba319fcfe5e982"},"schema_version":"1.0","source":{"id":"2112.02985","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.02985","created_at":"2026-07-05T05:23:56Z"},{"alias_kind":"arxiv_version","alias_value":"2112.02985v2","created_at":"2026-07-05T05:23:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.02985","created_at":"2026-07-05T05:23:56Z"},{"alias_kind":"pith_short_12","alias_value":"KI2MITENLAB6","created_at":"2026-07-05T05:23:56Z"},{"alias_kind":"pith_short_16","alias_value":"KI2MITENLAB6N6T7","created_at":"2026-07-05T05:23:56Z"},{"alias_kind":"pith_short_8","alias_value":"KI2MITEN","created_at":"2026-07-05T05:23:56Z"}],"graph_snapshots":[{"event_id":"sha256:ca4979d0cc1ea2992a9bde69391fa01b8c57171505fa10a717a0704bd024bf2b","target":"graph","created_at":"2026-07-05T05:23:56Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2112.02985/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work proposes a Linear-Time-Invariance (LTI) notion to the Koopman analysis, finding an invariant subspace on which Koopman modes are consistent and physically meaningful. It also develops the Koopman-LTI architecture -- a systematic procedure to associate fluid excitation and structure surface pressure by matching Koopman eigen tuples, solving a longstanding problem for fluid-structure interactions. The architecture is data-driven and modular, accommodating all types of data and Koopman algorithms. Through a pedagogical demonstration on a prism wake and the rudimentary Dynamic Mode Decom","authors_text":"Asiri Umenga Weerasuriya, Cruz Y. Li, Tim K.T. Tse, Xisheng Lin, Xuelin Zhang, Yunfei Fu, Zengshun Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2021-12-06T13:01:21Z","title":"The Linear-Time-Invariance Notion of the Koopman Analysis-Part 1: The Architecture, Practical Rendering on the Prism Wake, and Fluid-Structure Association"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.02985","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":"sha256:85ec154f552df8ca7b34d4039b5074bc22a85bf20a73e66f6e0d8db814d91d35","target":"record","created_at":"2026-07-05T05:23:56Z","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":"5d3c71a1b3b90b847131274279eb6ea8c7a91f612214ecce3b4eac2564e718c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2021-12-06T13:01:21Z","title_canon_sha256":"e69a107baf66a1d394b02e755c8e15b6b01d8aa542eb25faf0ba319fcfe5e982"},"schema_version":"1.0","source":{"id":"2112.02985","kind":"arxiv","version":2}},"canonical_sha256":"5234c44c8d5803e6fa7f5878d66fdb23118605deab0f6029864c1fb1165ad6a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5234c44c8d5803e6fa7f5878d66fdb23118605deab0f6029864c1fb1165ad6a0","first_computed_at":"2026-07-05T05:23:56.569538Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:23:56.569538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rF2VVL4buv979yKk3CNkoezZeUC5ga7O/cq0fZt/vfocPx6QDnPus2mS+jZwX3LKo0J7o6OAKcTHmt6bFX37Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:23:56.569901Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.02985","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:85ec154f552df8ca7b34d4039b5074bc22a85bf20a73e66f6e0d8db814d91d35","sha256:ca4979d0cc1ea2992a9bde69391fa01b8c57171505fa10a717a0704bd024bf2b"],"state_sha256":"4c806134991e5c9a69c3a2b87d52ad511009971426caadc6657b1af72cbc8443"}