{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:5URXFBVTQ3R2YWIVORF3YFU7WW","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":"089b1fe73f5eecbb56a11b94d43d5122a6d798b5898248c088ad62712355ab8f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-07-30T08:47:18Z","title_canon_sha256":"d223d833991be63201f61c2065ad1f925aa7c4826aec376fffe5fd00e5690492"},"schema_version":"1.0","source":{"id":"1807.11232","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.11232","created_at":"2026-05-18T00:09:32Z"},{"alias_kind":"arxiv_version","alias_value":"1807.11232v1","created_at":"2026-05-18T00:09:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.11232","created_at":"2026-05-18T00:09:32Z"},{"alias_kind":"pith_short_12","alias_value":"5URXFBVTQ3R2","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5URXFBVTQ3R2YWIV","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5URXFBVT","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:73a5a1dd41fc114819829fc2383fe6ffb89ba1f8e116fa6d62ef776b966f22b8","target":"graph","created_at":"2026-05-18T00:09:32Z","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":"A novel methodology to efficiently approximate the Hessian for numerical shape optimization is considered. The method enhances operator symbol approximations by including body fitted coordinates and spatially changing symbols in a semi automated framework based on local Fourier analysis. Contrary to classical operator symbol methods, the proposed strategy will identify areas in which a non-smooth design is physically meaningful and will automatically turn off smoothing in these regions. A new strategy to also numerically identify the analytic symbol is derived, extending the procedure to a wid","authors_text":"Jonas Kusch, Nicolas R. Gauger, Stephan Schmidt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-07-30T08:47:18Z","title":"An Approximate Newton Smoothing Method for Shape Optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.11232","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":"sha256:8469a2a115e5617f87567396a7fb6c805866c106374ef19fc9df7ad589ea760b","target":"record","created_at":"2026-05-18T00:09:32Z","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":"089b1fe73f5eecbb56a11b94d43d5122a6d798b5898248c088ad62712355ab8f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-07-30T08:47:18Z","title_canon_sha256":"d223d833991be63201f61c2065ad1f925aa7c4826aec376fffe5fd00e5690492"},"schema_version":"1.0","source":{"id":"1807.11232","kind":"arxiv","version":1}},"canonical_sha256":"ed237286b386e3ac5915744bbc169fb58d45f4fd2f7bf02a5b8259a5168a559e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed237286b386e3ac5915744bbc169fb58d45f4fd2f7bf02a5b8259a5168a559e","first_computed_at":"2026-05-18T00:09:32.546308Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:32.546308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H2YNIeiy3LJMixf2rqK40Pi/iThC1Y8xMZRMkrwHIM/DD+eGGgMpgAxE/tDrwR2eZgPvW9ShVKpXnq81AAddBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:32.546780Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.11232","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8469a2a115e5617f87567396a7fb6c805866c106374ef19fc9df7ad589ea760b","sha256:73a5a1dd41fc114819829fc2383fe6ffb89ba1f8e116fa6d62ef776b966f22b8"],"state_sha256":"6fe8d0d9261aa2876bd7efbf9fb87f386bfff43c4220f048a9096dafeddc5809"}