{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DPLQ6VBYTHFQ2LNBR2HX5HNWSJ","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":"44ae5d9d6cfb4bb0a0834fd649a65c4de26c9a4d3fe0fd7b27fb646ceaf2bdd6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-06-15T08:18:32Z","title_canon_sha256":"78de8438e87bfb122c11a728ad04fd2f7c3761fedad8dbcbaa51ef3668e53d92"},"schema_version":"1.0","source":{"id":"1606.04670","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.04670","created_at":"2026-05-18T00:37:48Z"},{"alias_kind":"arxiv_version","alias_value":"1606.04670v1","created_at":"2026-05-18T00:37:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.04670","created_at":"2026-05-18T00:37:48Z"},{"alias_kind":"pith_short_12","alias_value":"DPLQ6VBYTHFQ","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DPLQ6VBYTHFQ2LNB","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DPLQ6VBY","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:2d4657d9444681920976a99719371942aae63612e23e11343858a1267f355423","target":"graph","created_at":"2026-05-18T00:37:48Z","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":"Redundancy is related to the amount of functionality that the structure can sustain in the worst-case scenario of structural degradation. This paper proposes a widely-applicable concept of redundancy optimization of finite-dimensional structures. The concept is consistent with the robust structural optimization, as well as the quantitative measure of structural redundancy based on the information-gap theory. A derivative-free algorithm is proposed based on the sequential quadratic programming (SQP) method, where we use the finite-difference method with adaptively varying the difference increme","authors_text":"Yoshihiro Kanno","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-06-15T08:18:32Z","title":"Redundancy Optimization of Finite-Dimensional Structures: A Concept and a Derivative-Free Algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.04670","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":"sha256:98a2feb3f8828bd7442d2215a8b36a634494d6524b91c8c24e828d852278ff2a","target":"record","created_at":"2026-05-18T00:37:48Z","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":"44ae5d9d6cfb4bb0a0834fd649a65c4de26c9a4d3fe0fd7b27fb646ceaf2bdd6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-06-15T08:18:32Z","title_canon_sha256":"78de8438e87bfb122c11a728ad04fd2f7c3761fedad8dbcbaa51ef3668e53d92"},"schema_version":"1.0","source":{"id":"1606.04670","kind":"arxiv","version":1}},"canonical_sha256":"1bd70f543899cb0d2da18e8f7e9db69250f0a498121d24fa01cc1eacda8a6f15","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1bd70f543899cb0d2da18e8f7e9db69250f0a498121d24fa01cc1eacda8a6f15","first_computed_at":"2026-05-18T00:37:48.454934Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:48.454934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qi7qJe2Uen9yjRqbmL/ch2Q1ttVLMWnf6pwU38UoZM87eqUmNzR41LsoszprKvEobwMV3n9yuwoWYCL2ewKnAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:48.455535Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.04670","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98a2feb3f8828bd7442d2215a8b36a634494d6524b91c8c24e828d852278ff2a","sha256:2d4657d9444681920976a99719371942aae63612e23e11343858a1267f355423"],"state_sha256":"b0e3371f6264b841a340b4f077344f1e9bf8215fc2518df21f482ac0b11721af"}