{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:74A4YJX7HWDRURR73EQHQVVOOF","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":"1d77d4d371862d49a4a110ad01fa0b8c09ecb5662deaae17f638e9905fea4fff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-02-28T14:59:41Z","title_canon_sha256":"d3e58e8249f4f871a41f1a08587787e05b993f436f7d1be0767dad93d298e243"},"schema_version":"1.0","source":{"id":"1602.08727","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.08727","created_at":"2026-05-18T01:19:52Z"},{"alias_kind":"arxiv_version","alias_value":"1602.08727v1","created_at":"2026-05-18T01:19:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.08727","created_at":"2026-05-18T01:19:52Z"},{"alias_kind":"pith_short_12","alias_value":"74A4YJX7HWDR","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"74A4YJX7HWDRURR7","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"74A4YJX7","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:61f7b96d00b03851c38fb3b583b21071780536532b0b6b0d59640d2815e967d6","target":"graph","created_at":"2026-05-18T01:19:52Z","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 describe the development of a high-performance solution framework for isogeometric discrete differential forms based on B-splines: PetIGA-MF. Built on top of PetIGA, PetIGA-MF is a general multi-field discretization tool. To test the capabilities of our implementation, we solve different viscous flow problems such as Darcy, Stokes, Brinkman, and Navier-Stokes equations. Several convergence benchmarks based on manufactured solutions are presented assuring optimal convergence rates of the approximations, showing the accuracy and robustness of our solver.","authors_text":"A. F. Sarmiento, A. M. A. Cortes, D. A. Garcia, L. Dalcin, N. Collier, V. M. Calo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-02-28T14:59:41Z","title":"PetIGA-MF: a multi-field high-performance toolbox for structure-preserving B-splines spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.08727","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:c6b3096371763120677364a4f5104c5673ed0ada276a58a3ab19a2b06ed847e4","target":"record","created_at":"2026-05-18T01:19:52Z","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":"1d77d4d371862d49a4a110ad01fa0b8c09ecb5662deaae17f638e9905fea4fff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-02-28T14:59:41Z","title_canon_sha256":"d3e58e8249f4f871a41f1a08587787e05b993f436f7d1be0767dad93d298e243"},"schema_version":"1.0","source":{"id":"1602.08727","kind":"arxiv","version":1}},"canonical_sha256":"ff01cc26ff3d871a463fd9207856ae714f124d0b44b0fb41b365ae7b3fd82baf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ff01cc26ff3d871a463fd9207856ae714f124d0b44b0fb41b365ae7b3fd82baf","first_computed_at":"2026-05-18T01:19:52.079953Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:52.079953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GMKii1Z+kG7Cmav2lEGeAgn42ca9TBFaBFNQvyZE+stzoyffiEkG3OkFcXb2xz7K356ooi8ZLrsHA55rHCAHAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:52.080557Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.08727","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6b3096371763120677364a4f5104c5673ed0ada276a58a3ab19a2b06ed847e4","sha256:61f7b96d00b03851c38fb3b583b21071780536532b0b6b0d59640d2815e967d6"],"state_sha256":"eeb60a902c4df90d181aa5e80d23b169fdd4981361cd38ad92fa229c7470a4c7"}