{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:FPCCW4QCHRQRQWBB4RPVBTBTSN","short_pith_number":"pith:FPCCW4QC","schema_version":"1.0","canonical_sha256":"2bc42b72023c61185821e45f50cc33936e778361fac46065affcefc035251e11","source":{"kind":"arxiv","id":"2601.13039","version":2},"attestation_state":"computed","paper":{"title":"Model Reduction for Switched Linear Systems via Generalized Lyapunov Equations","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Benjamin Unger, Mattia Manucci","submitted_at":"2026-01-19T13:21:48Z","abstract_excerpt":"In this work, we study projection-based model order reduction (MOR) for switched linear systems (SLS) in control form, where the projection matrices are obtained from the solutions of generalized Lyapunov equations (GLEs). We investigate how numerical inaccuracies in solving the GLEs propagate through the MOR process and impact the accuracy and reliability of the resulting reduced-order model. This highlights the importance of accounting for such inaccuracies, motivating the introduction of a novel error bound to quantify and control the error in the approximation of the GLE solution.\n  Moreov"},"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":"2601.13039","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NA","submitted_at":"2026-01-19T13:21:48Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"ed23f16be35e76df288f13101e9c97eccdd13e1e296fbb00f44b017ff1fb0db9","abstract_canon_sha256":"e3cd8d008648bd49c2dae78a28818f5f3b12e86774b816e232093b6746ee26a6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:00:32.119432Z","signature_b64":"zDu+RVH5FKW8dl9QpbwHfNPQx5Zs5WgPdVm2H699d35UVYdfPBBfHmX6PhYeytrh47RPEh6a9kekxAHhhspDBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2bc42b72023c61185821e45f50cc33936e778361fac46065affcefc035251e11","last_reissued_at":"2026-05-20T00:00:32.118959Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:00:32.118959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Model Reduction for Switched Linear Systems via Generalized Lyapunov Equations","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Benjamin Unger, Mattia Manucci","submitted_at":"2026-01-19T13:21:48Z","abstract_excerpt":"In this work, we study projection-based model order reduction (MOR) for switched linear systems (SLS) in control form, where the projection matrices are obtained from the solutions of generalized Lyapunov equations (GLEs). We investigate how numerical inaccuracies in solving the GLEs propagate through the MOR process and impact the accuracy and reliability of the resulting reduced-order model. This highlights the importance of accounting for such inaccuracies, motivating the introduction of a novel error bound to quantify and control the error in the approximation of the GLE solution.\n  Moreov"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.13039","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2601.13039/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":"2601.13039","created_at":"2026-05-20T00:00:32.119030+00:00"},{"alias_kind":"arxiv_version","alias_value":"2601.13039v2","created_at":"2026-05-20T00:00:32.119030+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.13039","created_at":"2026-05-20T00:00:32.119030+00:00"},{"alias_kind":"pith_short_12","alias_value":"FPCCW4QCHRQR","created_at":"2026-05-20T00:00:32.119030+00:00"},{"alias_kind":"pith_short_16","alias_value":"FPCCW4QCHRQRQWBB","created_at":"2026-05-20T00:00:32.119030+00:00"},{"alias_kind":"pith_short_8","alias_value":"FPCCW4QC","created_at":"2026-05-20T00:00:32.119030+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/FPCCW4QCHRQRQWBB4RPVBTBTSN","json":"https://pith.science/pith/FPCCW4QCHRQRQWBB4RPVBTBTSN.json","graph_json":"https://pith.science/api/pith-number/FPCCW4QCHRQRQWBB4RPVBTBTSN/graph.json","events_json":"https://pith.science/api/pith-number/FPCCW4QCHRQRQWBB4RPVBTBTSN/events.json","paper":"https://pith.science/paper/FPCCW4QC"},"agent_actions":{"view_html":"https://pith.science/pith/FPCCW4QCHRQRQWBB4RPVBTBTSN","download_json":"https://pith.science/pith/FPCCW4QCHRQRQWBB4RPVBTBTSN.json","view_paper":"https://pith.science/paper/FPCCW4QC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2601.13039&json=true","fetch_graph":"https://pith.science/api/pith-number/FPCCW4QCHRQRQWBB4RPVBTBTSN/graph.json","fetch_events":"https://pith.science/api/pith-number/FPCCW4QCHRQRQWBB4RPVBTBTSN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FPCCW4QCHRQRQWBB4RPVBTBTSN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FPCCW4QCHRQRQWBB4RPVBTBTSN/action/storage_attestation","attest_author":"https://pith.science/pith/FPCCW4QCHRQRQWBB4RPVBTBTSN/action/author_attestation","sign_citation":"https://pith.science/pith/FPCCW4QCHRQRQWBB4RPVBTBTSN/action/citation_signature","submit_replication":"https://pith.science/pith/FPCCW4QCHRQRQWBB4RPVBTBTSN/action/replication_record"}},"created_at":"2026-05-20T00:00:32.119030+00:00","updated_at":"2026-05-20T00:00:32.119030+00:00"}