{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:QM7A5GZIZRYF4265FNP5UQ3FE6","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":"45a28bb5e97864f576ea69d50adde2f79f3896e294772947d294a64caa03038f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.OC","submitted_at":"2024-11-21T05:03:12Z","title_canon_sha256":"3ea4b9fee85de409660f6b68f6cd989573355122778606da6dba0c8ce023f902"},"schema_version":"1.0","source":{"id":"2411.13843","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.13843","created_at":"2026-07-05T09:38:37Z"},{"alias_kind":"arxiv_version","alias_value":"2411.13843v1","created_at":"2026-07-05T09:38:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.13843","created_at":"2026-07-05T09:38:37Z"},{"alias_kind":"pith_short_12","alias_value":"QM7A5GZIZRYF","created_at":"2026-07-05T09:38:37Z"},{"alias_kind":"pith_short_16","alias_value":"QM7A5GZIZRYF4265","created_at":"2026-07-05T09:38:37Z"},{"alias_kind":"pith_short_8","alias_value":"QM7A5GZI","created_at":"2026-07-05T09:38:37Z"}],"graph_snapshots":[{"event_id":"sha256:2774de3008581f7140002f0f7110b282436397c7132df7fbb98e512a3cac90cb","target":"graph","created_at":"2026-07-05T09:38:37Z","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/2411.13843/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a two-level structural optimization method for obtaining an approximate optimal shape of piecewise developable surface without specifying internal boundaries between surface patches. The condition for developability of a polyhedral surface onto a plane is formulated using the area of discrete Gauss map formed by unit normal vectors at the faces adjacent to each vertex. The objective function of the lower-level optimization problem is the sum of square errors for developability at all interior vertices. The contribution of large error to the objective function is underestimated by fi","authors_text":"Jingyao Zhang, Kentaro Hayakawa, Makoto Ohsaki","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.OC","submitted_at":"2024-11-21T05:03:12Z","title":"Non-parametric structural shape optimization of piecewise developable surfaces using discrete differential geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.13843","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:ac8795726d2f7b850933147f8bc7a9cac30151a99b54bc69788532a0d4cfdcb6","target":"record","created_at":"2026-07-05T09:38:37Z","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":"45a28bb5e97864f576ea69d50adde2f79f3896e294772947d294a64caa03038f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.OC","submitted_at":"2024-11-21T05:03:12Z","title_canon_sha256":"3ea4b9fee85de409660f6b68f6cd989573355122778606da6dba0c8ce023f902"},"schema_version":"1.0","source":{"id":"2411.13843","kind":"arxiv","version":1}},"canonical_sha256":"833e0e9b28cc705e6bdd2b5fda436527925aeb9a79bf1f03cff7677576c1443f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"833e0e9b28cc705e6bdd2b5fda436527925aeb9a79bf1f03cff7677576c1443f","first_computed_at":"2026-07-05T09:38:37.893162Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:38:37.893162Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EJKWWHu6Pv+8fLOsJYznnrCmuBOocBkgdW8iE+LftTHPnRD2/WhQQG6yCLoibrjzG28PVyoIwQOkJopNrz9PCw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:38:37.893625Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.13843","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac8795726d2f7b850933147f8bc7a9cac30151a99b54bc69788532a0d4cfdcb6","sha256:2774de3008581f7140002f0f7110b282436397c7132df7fbb98e512a3cac90cb"],"state_sha256":"24fb3a057cfb98ef12058fda408a63673dc428154759f86a06ed31bd5a51f993"}