{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:5ZXIQ47BNXCDNHK4BLUQJVB4NG","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":"2c917a5d21146c5aa7fbb9b3814cb8b3488ae650553a76800a266918ed6e4dbb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-10-29T21:56:36Z","title_canon_sha256":"08f687f86732f55e6abc056b2b0eb47d63ebc6955d3039fa7268a455cda993ed"},"schema_version":"1.0","source":{"id":"1810.12425","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.12425","created_at":"2026-05-17T23:50:41Z"},{"alias_kind":"arxiv_version","alias_value":"1810.12425v2","created_at":"2026-05-17T23:50:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.12425","created_at":"2026-05-17T23:50:41Z"},{"alias_kind":"pith_short_12","alias_value":"5ZXIQ47BNXCD","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5ZXIQ47BNXCDNHK4","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5ZXIQ47B","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:5782ed456a90d7afd2194eed606e3080df031951f6d970af8981050d0d64b036","target":"graph","created_at":"2026-05-17T23:50:41Z","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":"The construction of volumetric parametrizations for computational domains is a key step in the pipeline of isogeometric analysis. Here, we investigate a solution to this problem based on the mesh deformation approach. The desired domain is modeled as a deformed configuration of an initial simple geometry. Assuming that the parametrization of the initial domain is bijective and that it is possible to find a locally invertible displacement field, the method yields a bijective parametrization of the target domain. We compute the displacement field by solving the equations of nonlinear elasticity ","authors_text":"Alexander Shamanskiy, Bernd Simeon, Jochen Hinz, Michael Helmut Gfrerer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-10-29T21:56:36Z","title":"Isogeometric Parametrization Inspired by Large Elastic Deformation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.12425","kind":"arxiv","version":2},"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:c329c1d1b4ade8222d10bcaec0827b494589424983c31e04082d151e9ea74786","target":"record","created_at":"2026-05-17T23:50:41Z","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":"2c917a5d21146c5aa7fbb9b3814cb8b3488ae650553a76800a266918ed6e4dbb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-10-29T21:56:36Z","title_canon_sha256":"08f687f86732f55e6abc056b2b0eb47d63ebc6955d3039fa7268a455cda993ed"},"schema_version":"1.0","source":{"id":"1810.12425","kind":"arxiv","version":2}},"canonical_sha256":"ee6e8873e16dc4369d5c0ae904d43c69a05e6a437d7fed1484224d59a5ea279c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ee6e8873e16dc4369d5c0ae904d43c69a05e6a437d7fed1484224d59a5ea279c","first_computed_at":"2026-05-17T23:50:41.007626Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:41.007626Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ilhuvCetxendtJpYsAq2QqDHise14Mlx/40kHXLiz1MMyuX98SF0bIbbgNdaKcgsVMBfLO7ITmwPYvOYbk3VAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:41.008065Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.12425","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c329c1d1b4ade8222d10bcaec0827b494589424983c31e04082d151e9ea74786","sha256:5782ed456a90d7afd2194eed606e3080df031951f6d970af8981050d0d64b036"],"state_sha256":"0963da920b33580ec18ada01af769abc3265e7aef432ad61cf8ad68b689e9e43"}