{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BDN57JOP7FDGPYSG3PI2PNKER2","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":"c73b9a6bdd5177a495d648a82a0233a80b06b34fed0f9d6ee770d4508af5f725","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-05-02T12:13:16Z","title_canon_sha256":"9cd82ceefb6ad003c33dc2d6356e476dd011d0b5075bf1c8e343660546a208eb"},"schema_version":"1.0","source":{"id":"1705.00934","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.00934","created_at":"2026-05-18T00:45:09Z"},{"alias_kind":"arxiv_version","alias_value":"1705.00934v1","created_at":"2026-05-18T00:45:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00934","created_at":"2026-05-18T00:45:09Z"},{"alias_kind":"pith_short_12","alias_value":"BDN57JOP7FDG","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BDN57JOP7FDGPYSG","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BDN57JOP","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:043d0660ab941fe6cd5de1ee49bceb252fc0949cec99ca7a8cdf00683b2a990b","target":"graph","created_at":"2026-05-18T00:45:09Z","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":"We discuss model reduction for a particular class of quadratic-bilinear (QB) descriptor systems. The main goal of this article is to extend the recently studied interpolation-based optimal model reduction framework for QBODEs [Benner et al. '16] to a class of descriptor systems in an efficient and reliable way. Recently, it has been shown in the case of linear or bilinear systems that a direct extension of interpolation-based model reduction techniques to descriptor systems, without any modifications, may lead to poor reduced-order systems. Therefore, for the analysis, we aim at transforming t","authors_text":"Pawan Goyal, Peter Benner","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-05-02T12:13:16Z","title":"An Iterative Model Reduction Scheme for Quadratic-Bilinear Descriptor Systems with an Application to Navier-Stokes Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00934","kind":"arxiv","version":1},"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":"sha256:0958dcba7527301f34acf25e7a498bdff700753174f4d6b79e2f28678d6a5995","target":"record","created_at":"2026-05-18T00:45:09Z","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":"c73b9a6bdd5177a495d648a82a0233a80b06b34fed0f9d6ee770d4508af5f725","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-05-02T12:13:16Z","title_canon_sha256":"9cd82ceefb6ad003c33dc2d6356e476dd011d0b5075bf1c8e343660546a208eb"},"schema_version":"1.0","source":{"id":"1705.00934","kind":"arxiv","version":1}},"canonical_sha256":"08dbdfa5cff94667e246dbd1a7b5448eac9893ad41011f1db1493ca4476542a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"08dbdfa5cff94667e246dbd1a7b5448eac9893ad41011f1db1493ca4476542a3","first_computed_at":"2026-05-18T00:45:09.338030Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:09.338030Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/xDjKqWzPtMt00PksJQ0QFhBwzRVFrvUuh3v/EAcSH4cVVmT4gZ2QHToyFoKTrKIDouMToNL7HyrSbm70kh1AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:09.338484Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.00934","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0958dcba7527301f34acf25e7a498bdff700753174f4d6b79e2f28678d6a5995","sha256:043d0660ab941fe6cd5de1ee49bceb252fc0949cec99ca7a8cdf00683b2a990b"],"state_sha256":"3f2a81b493b098bc7a4a556d1ba53b980aef8c1ea6edb03659402f73b22d363d"}