{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:N347VRU6L3ESMGAJKMZCJK6O7U","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":"9d66e7598d26c42e56e47c39a70eb452b27d5a8d075c81a92a1502c6d478c1d8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CE","submitted_at":"2024-08-22T14:10:49Z","title_canon_sha256":"efb4bb7f32459a75ef54ef9c34e296053e363f8be2f9db091037703b635693ee"},"schema_version":"1.0","source":{"id":"2408.12415","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.12415","created_at":"2026-07-05T08:58:08Z"},{"alias_kind":"arxiv_version","alias_value":"2408.12415v1","created_at":"2026-07-05T08:58:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.12415","created_at":"2026-07-05T08:58:08Z"},{"alias_kind":"pith_short_12","alias_value":"N347VRU6L3ES","created_at":"2026-07-05T08:58:08Z"},{"alias_kind":"pith_short_16","alias_value":"N347VRU6L3ESMGAJ","created_at":"2026-07-05T08:58:08Z"},{"alias_kind":"pith_short_8","alias_value":"N347VRU6","created_at":"2026-07-05T08:58:08Z"}],"graph_snapshots":[{"event_id":"sha256:700974cadcaa56b96caf5344410cbe7ea474ffc581be47796d03ca4d80b46278","target":"graph","created_at":"2026-07-05T08:58:08Z","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/2408.12415/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The proper orthogonal decomposition (POD) -- a popular projection-based model order reduction (MOR) method -- may require significant model dimensionalities to successfully capture a nonlinear solution manifold resulting from a parameterised quasi-static solid-mechanical problem. The local basis method by Amsallem et al. [1] addresses this deficiency by introducing a locally, rather than globally, linear approximation of the solution manifold. However, this generally successful approach comes with some limitations, especially in the data-poor setting. In this proof-of-concept investigation, we","authors_text":"Erik Faust, Lisa Scheunemann","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CE","submitted_at":"2024-08-22T14:10:49Z","title":"A manifold learning approach to nonlinear model order reduction of quasi-static problems in solid mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.12415","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":"sha256:6c0d9ee1ca11a3f1270e174fec36152325d2a3e40e9549903145a8327475f3ca","target":"record","created_at":"2026-07-05T08:58:08Z","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":"9d66e7598d26c42e56e47c39a70eb452b27d5a8d075c81a92a1502c6d478c1d8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CE","submitted_at":"2024-08-22T14:10:49Z","title_canon_sha256":"efb4bb7f32459a75ef54ef9c34e296053e363f8be2f9db091037703b635693ee"},"schema_version":"1.0","source":{"id":"2408.12415","kind":"arxiv","version":1}},"canonical_sha256":"6ef9fac69e5ec9261809533224abcefd13080fafa93cee1daf480bf1a63a13cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ef9fac69e5ec9261809533224abcefd13080fafa93cee1daf480bf1a63a13cb","first_computed_at":"2026-07-05T08:58:08.874606Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:58:08.874606Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5ufhraFNu/42e4KbKg9po+BWD3HMGAwOi1fuHWju47hZmzA/ien1kp8IhkWnDSAA8zfqdhbcarJgNn7szEwXCw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:58:08.875010Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.12415","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c0d9ee1ca11a3f1270e174fec36152325d2a3e40e9549903145a8327475f3ca","sha256:700974cadcaa56b96caf5344410cbe7ea474ffc581be47796d03ca4d80b46278"],"state_sha256":"c2a6f50965851d8c31ee187e5fa0a2f870b5804622e6faad98d2badd5be45e13"}