{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:I7D2JELPPNNQ4FU7RBKBBMCLDR","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":"dcf1b5089c8b12739decfd5beea20bd33cd9561f38a8a04d3ab9e86bda3be65d","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-09-20T07:17:29Z","title_canon_sha256":"46fb1b4fb3b8e2b0227c20a310113392070f265e171ed8f4c1a7f0fe3b319f9d"},"schema_version":"1.0","source":{"id":"1809.07503","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.07503","created_at":"2026-05-17T23:51:05Z"},{"alias_kind":"arxiv_version","alias_value":"1809.07503v2","created_at":"2026-05-17T23:51:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.07503","created_at":"2026-05-17T23:51:05Z"},{"alias_kind":"pith_short_12","alias_value":"I7D2JELPPNNQ","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"I7D2JELPPNNQ4FU7","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"I7D2JELP","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:a101f55626e6c78343ff466bd5467da2bd0fa7f94f6ac97a30ad8080b2d71959","target":"graph","created_at":"2026-05-17T23:51:05Z","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 develop a density based topology optimization method for linear elasticity based on the cut finite element method. More precisely, the design domain is discretized using cut finite elements which allow complicated geometry to be represented on a structured fixed background mesh. The geometry of the design domain is allowed to cut through the background mesh in an arbitrary way and certain stabilization terms are added in the vicinity of the cut boundary, which guarantee stability of the method. Furthermore, in addition to standard Dirichlet and Neumann conditions we consider interface condi","authors_text":"Daniel Elfverson, Erik Burman, Karl Larsson, Mats G. Larson, Peter Hansbo","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-09-20T07:17:29Z","title":"Cut Topology Optimization for Linear Elasticity with Coupling to Parametric Nondesign Domain Regions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.07503","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":"sha256:1dd82e6ffcd53b7685693e7e1341743c065403f251d7fbd2700bf6aa98a7e557","target":"record","created_at":"2026-05-17T23:51:05Z","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":"dcf1b5089c8b12739decfd5beea20bd33cd9561f38a8a04d3ab9e86bda3be65d","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-09-20T07:17:29Z","title_canon_sha256":"46fb1b4fb3b8e2b0227c20a310113392070f265e171ed8f4c1a7f0fe3b319f9d"},"schema_version":"1.0","source":{"id":"1809.07503","kind":"arxiv","version":2}},"canonical_sha256":"47c7a4916f7b5b0e169f885410b04b1c7e764f0195d92c6f920c707c8e6c2967","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47c7a4916f7b5b0e169f885410b04b1c7e764f0195d92c6f920c707c8e6c2967","first_computed_at":"2026-05-17T23:51:05.484627Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:05.484627Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g+Dxil983algLxgEMgnZFUuaN3JF9CvF8YrltBzfE/fCZaHvDbqk8VlDbYJBUOq5opZUuwkDXG7bDTPvn52EAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:05.485138Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.07503","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1dd82e6ffcd53b7685693e7e1341743c065403f251d7fbd2700bf6aa98a7e557","sha256:a101f55626e6c78343ff466bd5467da2bd0fa7f94f6ac97a30ad8080b2d71959"],"state_sha256":"a26ef5a2bd4a8a4eaf6e76a3cd4926bfb39114fe1cfdea49a3412061d972daf3"}