{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:NDX653KE5R6RCK4PSL5X3IMZNN","short_pith_number":"pith:NDX653KE","schema_version":"1.0","canonical_sha256":"68efeeed44ec7d112b8f92fb7da1996b51deea6aa976d48504bb9b95da68056c","source":{"kind":"arxiv","id":"1902.10523","version":1},"attestation_state":"computed","paper":{"title":"Symplectic Model Order Reduction with Non-Orthonormal Bases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Ashish Bhatt, Bernard Haasdonk, Patrick Buchfink","submitted_at":"2019-02-27T13:44:22Z","abstract_excerpt":"Parametric high-fidelity simulations are of interest for a wide range of applications. But the restriction of computational resources renders such models to be inapplicable in a real-time context or in multi-query scenarios. Model order reduction (MOR) is used to tackle this issue. Recently, MOR is extended to preserve specific structures of the model throughout the reduction, e.g. structure-preserving MOR for Hamiltonian systems. This is referred to as symplectic MOR. It is based on the classical projection-based MOR and uses a symplectic reduced order basis (ROB). Such a ROB can be derived i"},"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":"1902.10523","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-02-27T13:44:22Z","cross_cats_sorted":[],"title_canon_sha256":"43a2991e645d68841348e3fca0bcdf1b2781f2663671832fb00e2bc59d8ea6cc","abstract_canon_sha256":"395989cf9daac477950a6bb763f7898e81b10f63a6b7fafcd5ee07eaa68a8412"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:30.636448Z","signature_b64":"Zb4PVI5IFyhLmKh3c4jxZ53DJv1j9f2vK/b6xSEmZ5M1RNkth7XCkCk4qSgtnUVRS3l50smkkUBi6YcbwbsPBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68efeeed44ec7d112b8f92fb7da1996b51deea6aa976d48504bb9b95da68056c","last_reissued_at":"2026-05-17T23:52:30.635953Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:30.635953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symplectic Model Order Reduction with Non-Orthonormal Bases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Ashish Bhatt, Bernard Haasdonk, Patrick Buchfink","submitted_at":"2019-02-27T13:44:22Z","abstract_excerpt":"Parametric high-fidelity simulations are of interest for a wide range of applications. But the restriction of computational resources renders such models to be inapplicable in a real-time context or in multi-query scenarios. Model order reduction (MOR) is used to tackle this issue. Recently, MOR is extended to preserve specific structures of the model throughout the reduction, e.g. structure-preserving MOR for Hamiltonian systems. This is referred to as symplectic MOR. It is based on the classical projection-based MOR and uses a symplectic reduced order basis (ROB). Such a ROB can be derived i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.10523","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1902.10523","created_at":"2026-05-17T23:52:30.636030+00:00"},{"alias_kind":"arxiv_version","alias_value":"1902.10523v1","created_at":"2026-05-17T23:52:30.636030+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.10523","created_at":"2026-05-17T23:52:30.636030+00:00"},{"alias_kind":"pith_short_12","alias_value":"NDX653KE5R6R","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_16","alias_value":"NDX653KE5R6RCK4P","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_8","alias_value":"NDX653KE","created_at":"2026-05-18T12:33:24.271573+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2602.09100","citing_title":"Area Scaling of Dynamical Degrees of Freedom in Regularised Scalar Field Theory","ref_index":50,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NDX653KE5R6RCK4PSL5X3IMZNN","json":"https://pith.science/pith/NDX653KE5R6RCK4PSL5X3IMZNN.json","graph_json":"https://pith.science/api/pith-number/NDX653KE5R6RCK4PSL5X3IMZNN/graph.json","events_json":"https://pith.science/api/pith-number/NDX653KE5R6RCK4PSL5X3IMZNN/events.json","paper":"https://pith.science/paper/NDX653KE"},"agent_actions":{"view_html":"https://pith.science/pith/NDX653KE5R6RCK4PSL5X3IMZNN","download_json":"https://pith.science/pith/NDX653KE5R6RCK4PSL5X3IMZNN.json","view_paper":"https://pith.science/paper/NDX653KE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1902.10523&json=true","fetch_graph":"https://pith.science/api/pith-number/NDX653KE5R6RCK4PSL5X3IMZNN/graph.json","fetch_events":"https://pith.science/api/pith-number/NDX653KE5R6RCK4PSL5X3IMZNN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NDX653KE5R6RCK4PSL5X3IMZNN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NDX653KE5R6RCK4PSL5X3IMZNN/action/storage_attestation","attest_author":"https://pith.science/pith/NDX653KE5R6RCK4PSL5X3IMZNN/action/author_attestation","sign_citation":"https://pith.science/pith/NDX653KE5R6RCK4PSL5X3IMZNN/action/citation_signature","submit_replication":"https://pith.science/pith/NDX653KE5R6RCK4PSL5X3IMZNN/action/replication_record"}},"created_at":"2026-05-17T23:52:30.636030+00:00","updated_at":"2026-05-17T23:52:30.636030+00:00"}