{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:UGWF5NB2JED2EES4UF5WRBTKXN","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":"244554011eb3337238a891eef77e369631920bc1f6afb1802f4b077f9820ee2e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.CE","submitted_at":"2026-06-09T07:36:49Z","title_canon_sha256":"8197eaccda6d86dfb047e080495634d5c05a2c12d77baa3410537e8d6da5d112"},"schema_version":"1.0","source":{"id":"2606.10509","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.10509","created_at":"2026-06-10T01:10:23Z"},{"alias_kind":"arxiv_version","alias_value":"2606.10509v1","created_at":"2026-06-10T01:10:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.10509","created_at":"2026-06-10T01:10:23Z"},{"alias_kind":"pith_short_12","alias_value":"UGWF5NB2JED2","created_at":"2026-06-10T01:10:23Z"},{"alias_kind":"pith_short_16","alias_value":"UGWF5NB2JED2EES4","created_at":"2026-06-10T01:10:23Z"},{"alias_kind":"pith_short_8","alias_value":"UGWF5NB2","created_at":"2026-06-10T01:10:23Z"}],"graph_snapshots":[{"event_id":"sha256:a1d92d9a357217a9aca9e9517459d3e170b870515e257f3ac0a74375b02000a0","target":"graph","created_at":"2026-06-10T01:10:23Z","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/2606.10509/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Checkerboard patterns are a well-known numerical artifact in density-based topology optimization using the Solid Isotropic Material with Penalization (SIMP) method and linear finite elements. Existing explanations based on mixed-field incompatibility or locking-induced stiffness overestimation explain the artificial stiffness of checkerboard layouts but do not clarify their characteristic spatial localization. In this work, we show that checkerboard patterns systematically emerge in multiaxial load-transfer regions, whereas predominantly uniaxial stress regions remain checkerboard-free. Throug","authors_text":"Dominik Schillinger, Iulian Paunel, Jonathan Stollberg","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.CE","submitted_at":"2026-06-09T07:36:49Z","title":"On the Localization of Checkerboarding in Multiaxial Stress Regions under SIMP Penalization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.10509","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:a95776accce8eed8c96b1416000295d7e151c12c07ca606bc7a46c3a75d6e6eb","target":"record","created_at":"2026-06-10T01:10:23Z","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":"244554011eb3337238a891eef77e369631920bc1f6afb1802f4b077f9820ee2e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.CE","submitted_at":"2026-06-09T07:36:49Z","title_canon_sha256":"8197eaccda6d86dfb047e080495634d5c05a2c12d77baa3410537e8d6da5d112"},"schema_version":"1.0","source":{"id":"2606.10509","kind":"arxiv","version":1}},"canonical_sha256":"a1ac5eb43a4907a2125ca17b68866abb5ff19b368e88d9e6aa26ac17be314b3a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a1ac5eb43a4907a2125ca17b68866abb5ff19b368e88d9e6aa26ac17be314b3a","first_computed_at":"2026-06-10T01:10:23.404721Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-10T01:10:23.404721Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z7pVftx3NW+eqHh1JgiWYVqDGzvH6nUIsI3pR0SAn1hOJBHoBkg3bKRb1XeRcLM3xR/wVDiWUe4wUFlJGDNbDg==","signature_status":"signed_v1","signed_at":"2026-06-10T01:10:23.405575Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.10509","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a95776accce8eed8c96b1416000295d7e151c12c07ca606bc7a46c3a75d6e6eb","sha256:a1d92d9a357217a9aca9e9517459d3e170b870515e257f3ac0a74375b02000a0"],"state_sha256":"7cbffc11701bc20b23e1e40af16083265683cb3bb3801eca42c9627d96fcfce8"}