{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:S55PBUVZZGDGGZPATIB465OAOZ","short_pith_number":"pith:S55PBUVZ","schema_version":"1.0","canonical_sha256":"977af0d2b9c9866365e09a03cf75c07643fdcf324f207bd9152db86046cfe96c","source":{"kind":"arxiv","id":"2607.18133","version":1},"attestation_state":"computed","paper":{"title":"Physics-Guided Spectral Parametric Reduced-Order Modeling for Transient Prediction of Controlled Dynamical Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Antonio Cammi, Ao Zhang, Tian Zhang, Xiang Wang","submitted_at":"2026-07-20T16:25:24Z","abstract_excerpt":"Efficient parametric transient prediction at unseen parameter values and under new operating conditions remains challenging because repeated high-fidelity simulations are computationally prohibitive. Existing data-driven surrogates and parametric reduced-order models perform well within sampled ranges but often lose reliability beyond them. This study proposes a physics-guided spectral parametric reduced-order modeling framework for controlled dynamical systems. Parameter-dependent reduced spectral operators are identified from transient snapshots using Dynamic Mode Decomposition with control,"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2607.18133","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2026-07-20T16:25:24Z","cross_cats_sorted":[],"title_canon_sha256":"3cfb84d981c8b706fdad779af4e5a52db6a5fe25e7bcdb797038854c10a9de67","abstract_canon_sha256":"09f003201d7dd4605726b3614041e410fd440e2601b69248708ce81afc4b7662"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-21T02:22:18.383552Z","signature_b64":"C32GGSdN3OkMpkJZAK/fZR79ek+N12Y4zvyn/9oOV5jF076lTp+UPrSR/SP7quCeB9joNg+3X4mdeAKQARlaBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"977af0d2b9c9866365e09a03cf75c07643fdcf324f207bd9152db86046cfe96c","last_reissued_at":"2026-07-21T02:22:18.382712Z","signature_status":"signed_v1","first_computed_at":"2026-07-21T02:22:18.382712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Physics-Guided Spectral Parametric Reduced-Order Modeling for Transient Prediction of Controlled Dynamical Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Antonio Cammi, Ao Zhang, Tian Zhang, Xiang Wang","submitted_at":"2026-07-20T16:25:24Z","abstract_excerpt":"Efficient parametric transient prediction at unseen parameter values and under new operating conditions remains challenging because repeated high-fidelity simulations are computationally prohibitive. Existing data-driven surrogates and parametric reduced-order models perform well within sampled ranges but often lose reliability beyond them. This study proposes a physics-guided spectral parametric reduced-order modeling framework for controlled dynamical systems. Parameter-dependent reduced spectral operators are identified from transient snapshots using Dynamic Mode Decomposition with control,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.18133","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.18133/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2607.18133","created_at":"2026-07-21T02:22:18.383146+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.18133v1","created_at":"2026-07-21T02:22:18.383146+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.18133","created_at":"2026-07-21T02:22:18.383146+00:00"},{"alias_kind":"pith_short_12","alias_value":"S55PBUVZZGDG","created_at":"2026-07-21T02:22:18.383146+00:00"},{"alias_kind":"pith_short_16","alias_value":"S55PBUVZZGDGGZPA","created_at":"2026-07-21T02:22:18.383146+00:00"},{"alias_kind":"pith_short_8","alias_value":"S55PBUVZ","created_at":"2026-07-21T02:22:18.383146+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/S55PBUVZZGDGGZPATIB465OAOZ","json":"https://pith.science/pith/S55PBUVZZGDGGZPATIB465OAOZ.json","graph_json":"https://pith.science/api/pith-number/S55PBUVZZGDGGZPATIB465OAOZ/graph.json","events_json":"https://pith.science/api/pith-number/S55PBUVZZGDGGZPATIB465OAOZ/events.json","paper":"https://pith.science/paper/S55PBUVZ"},"agent_actions":{"view_html":"https://pith.science/pith/S55PBUVZZGDGGZPATIB465OAOZ","download_json":"https://pith.science/pith/S55PBUVZZGDGGZPATIB465OAOZ.json","view_paper":"https://pith.science/paper/S55PBUVZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.18133&json=true","fetch_graph":"https://pith.science/api/pith-number/S55PBUVZZGDGGZPATIB465OAOZ/graph.json","fetch_events":"https://pith.science/api/pith-number/S55PBUVZZGDGGZPATIB465OAOZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S55PBUVZZGDGGZPATIB465OAOZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S55PBUVZZGDGGZPATIB465OAOZ/action/storage_attestation","attest_author":"https://pith.science/pith/S55PBUVZZGDGGZPATIB465OAOZ/action/author_attestation","sign_citation":"https://pith.science/pith/S55PBUVZZGDGGZPATIB465OAOZ/action/citation_signature","submit_replication":"https://pith.science/pith/S55PBUVZZGDGGZPATIB465OAOZ/action/replication_record"}},"created_at":"2026-07-21T02:22:18.383146+00:00","updated_at":"2026-07-21T02:22:18.383146+00:00"}