{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:PYPIICLPKST5YYS26I7RDEJUTX","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":"b9d039b6b0d2558756c10d9af9fb22faa20b94c6fd7946824582593ad91b1386","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-18T17:47:49Z","title_canon_sha256":"1a9d27a59262a6bc9ec051c6f6c452c0cb381d0e30d878fea81b0c0bc08fc2fb"},"schema_version":"1.0","source":{"id":"1703.06323","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.06323","created_at":"2026-06-04T18:10:39Z"},{"alias_kind":"arxiv_version","alias_value":"1703.06323v2","created_at":"2026-06-04T18:10:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.06323","created_at":"2026-06-04T18:10:39Z"},{"alias_kind":"pith_short_12","alias_value":"PYPIICLPKST5","created_at":"2026-06-04T18:10:39Z"},{"alias_kind":"pith_short_16","alias_value":"PYPIICLPKST5YYS2","created_at":"2026-06-04T18:10:39Z"},{"alias_kind":"pith_short_8","alias_value":"PYPIICLP","created_at":"2026-06-04T18:10:39Z"}],"graph_snapshots":[{"event_id":"sha256:bff5889b0dd01038ab17dae3c56f09c10eaa02dd7321429502413908f68b246d","target":"graph","created_at":"2026-06-04T18:10:39Z","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/1703.06323/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Unfitted finite element methods, e.g., extended finite element techniques or the so-called finite cell method, have a great potential for large scale simulations, since they avoid the generation of body-fitted meshes and the use of graph partitioning techniques, two main bottlenecks for problems with non-trivial geometries. However, the linear systems that arise from these discretizations can be much more ill-conditioned, due to the so-called small cut cell problem. The state-of-the-art approach is to rely on sparse direct methods, which have quadratic complexity and are thus not well suited f","authors_text":"Francesc Verdugo, Santiago Badia","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-18T17:47:49Z","title":"Robust and scalable domain decomposition solvers for unfitted finite element methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.06323","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":"sha256:36eca6fa56e90552bf940c897ca93cd1232c817216edbc3ba27587927fb710ed","target":"record","created_at":"2026-06-04T18:10:39Z","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":"b9d039b6b0d2558756c10d9af9fb22faa20b94c6fd7946824582593ad91b1386","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-18T17:47:49Z","title_canon_sha256":"1a9d27a59262a6bc9ec051c6f6c452c0cb381d0e30d878fea81b0c0bc08fc2fb"},"schema_version":"1.0","source":{"id":"1703.06323","kind":"arxiv","version":2}},"canonical_sha256":"7e1e84096f54a7dc625af23f1191349df389ada2ce15c070222fc7ab8aa20af2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e1e84096f54a7dc625af23f1191349df389ada2ce15c070222fc7ab8aa20af2","first_computed_at":"2026-06-04T18:10:39.667988Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T18:10:39.667988Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NXA402GlmUsFXzVqbmMkm07kzw0PMCr715uEglr0FFuDvRaYmuIX+AebLv6i+5JdUrgEcGwK95s3i8CWI0oBAQ==","signature_status":"signed_v1","signed_at":"2026-06-04T18:10:39.668485Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.06323","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36eca6fa56e90552bf940c897ca93cd1232c817216edbc3ba27587927fb710ed","sha256:bff5889b0dd01038ab17dae3c56f09c10eaa02dd7321429502413908f68b246d"],"state_sha256":"cd56259473c89e3b3d21e73ea87bb04c900220f04a78da3e434a81ad2719b1df"}