{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:J7CIJVSPBLL5O3LH3F54P5X4OS","short_pith_number":"pith:J7CIJVSP","canonical_record":{"source":{"id":"2312.07889","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-12-13T04:23:44Z","cross_cats_sorted":["cs.CE","cs.CG","cs.GR"],"title_canon_sha256":"0129fb6808653338f8c864786a50ca7b18e80bcaa781cccee8d0e5fd24798ff7","abstract_canon_sha256":"879a3c7dc0f3d799de77d2213b7b2172c6e3f91208e63e493732c576e5e77960"},"schema_version":"1.0"},"canonical_sha256":"4fc484d64f0ad7d76d67d97bc7f6fc748b9f502b7f25824339b37c492a32cafb","source":{"kind":"arxiv","id":"2312.07889","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.07889","created_at":"2026-07-05T07:23:38Z"},{"alias_kind":"arxiv_version","alias_value":"2312.07889v1","created_at":"2026-07-05T07:23:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.07889","created_at":"2026-07-05T07:23:38Z"},{"alias_kind":"pith_short_12","alias_value":"J7CIJVSPBLL5","created_at":"2026-07-05T07:23:38Z"},{"alias_kind":"pith_short_16","alias_value":"J7CIJVSPBLL5O3LH","created_at":"2026-07-05T07:23:38Z"},{"alias_kind":"pith_short_8","alias_value":"J7CIJVSP","created_at":"2026-07-05T07:23:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:J7CIJVSPBLL5O3LH3F54P5X4OS","target":"record","payload":{"canonical_record":{"source":{"id":"2312.07889","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-12-13T04:23:44Z","cross_cats_sorted":["cs.CE","cs.CG","cs.GR"],"title_canon_sha256":"0129fb6808653338f8c864786a50ca7b18e80bcaa781cccee8d0e5fd24798ff7","abstract_canon_sha256":"879a3c7dc0f3d799de77d2213b7b2172c6e3f91208e63e493732c576e5e77960"},"schema_version":"1.0"},"canonical_sha256":"4fc484d64f0ad7d76d67d97bc7f6fc748b9f502b7f25824339b37c492a32cafb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:23:38.775433Z","signature_b64":"Y4eGmzZQrrRyrjYyUKnS3+M18jYqf82ddcM9L0lwlF7OtX/s8CByGyBOCXGm/oPXtYE4iOB12KMlPQn8abL/DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4fc484d64f0ad7d76d67d97bc7f6fc748b9f502b7f25824339b37c492a32cafb","last_reissued_at":"2026-07-05T07:23:38.774926Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:23:38.774926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2312.07889","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:23:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qdeTPf3JXrYYpAWNDWPcaE+RvBxvfexrLAhDcquV/bQMlWVH7UIb1TLf5DJ0ShQKov/H/hsU/dKhyiQx+xlWDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T23:24:12.408603Z"},"content_sha256":"4a95872196e6a767779f1fedb50ce9fb3f42066a48dbdc03c54f10e22c3858fb","schema_version":"1.0","event_id":"sha256:4a95872196e6a767779f1fedb50ce9fb3f42066a48dbdc03c54f10e22c3858fb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:J7CIJVSPBLL5O3LH3F54P5X4OS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Adaptive Isogeometric Topology Optimization of Shell Structures based on PHT-splines","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CE","cs.CG","cs.GR"],"primary_cat":"math.OC","authors_text":"Falai Chen, Hongmei Kang, Qiong Pan, Xiaoya Zhai, Zepeng Wen","submitted_at":"2023-12-13T04:23:44Z","abstract_excerpt":"This paper proposes an Adaptive Isogeometric Topology Optimization framework for shell structures based on PHT-splines (PHT-AITO). In this framework, the design domain, displacement, and density are represented by PHT-splines. Leveraging the local refinement capability of PHT-splines, mesh elements defining the density function are adaptively refined to achieve a suitable resolution at the interface between solid and void regions. This addresses the issue of excessive degrees of freedom resulting from global refinement. The refinement of the mesh elements is driven by their density. During the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.07889","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2312.07889/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:23:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T6CWc7ZSK734RF7M2TyGWzYg8pS3G3aFfB3Zhkfe8d6N820+b0VXd3j++XoSIxvkMt8/z85A3O4ENFrzvCzJAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T23:24:12.408978Z"},"content_sha256":"aad0a83f1874eacef8663681f9d4406e59a5b1364908552a55df24c1cce5b4b0","schema_version":"1.0","event_id":"sha256:aad0a83f1874eacef8663681f9d4406e59a5b1364908552a55df24c1cce5b4b0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J7CIJVSPBLL5O3LH3F54P5X4OS/bundle.json","state_url":"https://pith.science/pith/J7CIJVSPBLL5O3LH3F54P5X4OS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J7CIJVSPBLL5O3LH3F54P5X4OS/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-06T23:24:12Z","links":{"resolver":"https://pith.science/pith/J7CIJVSPBLL5O3LH3F54P5X4OS","bundle":"https://pith.science/pith/J7CIJVSPBLL5O3LH3F54P5X4OS/bundle.json","state":"https://pith.science/pith/J7CIJVSPBLL5O3LH3F54P5X4OS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J7CIJVSPBLL5O3LH3F54P5X4OS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:J7CIJVSPBLL5O3LH3F54P5X4OS","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":"879a3c7dc0f3d799de77d2213b7b2172c6e3f91208e63e493732c576e5e77960","cross_cats_sorted":["cs.CE","cs.CG","cs.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-12-13T04:23:44Z","title_canon_sha256":"0129fb6808653338f8c864786a50ca7b18e80bcaa781cccee8d0e5fd24798ff7"},"schema_version":"1.0","source":{"id":"2312.07889","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.07889","created_at":"2026-07-05T07:23:38Z"},{"alias_kind":"arxiv_version","alias_value":"2312.07889v1","created_at":"2026-07-05T07:23:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.07889","created_at":"2026-07-05T07:23:38Z"},{"alias_kind":"pith_short_12","alias_value":"J7CIJVSPBLL5","created_at":"2026-07-05T07:23:38Z"},{"alias_kind":"pith_short_16","alias_value":"J7CIJVSPBLL5O3LH","created_at":"2026-07-05T07:23:38Z"},{"alias_kind":"pith_short_8","alias_value":"J7CIJVSP","created_at":"2026-07-05T07:23:38Z"}],"graph_snapshots":[{"event_id":"sha256:aad0a83f1874eacef8663681f9d4406e59a5b1364908552a55df24c1cce5b4b0","target":"graph","created_at":"2026-07-05T07:23:38Z","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/2312.07889/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper proposes an Adaptive Isogeometric Topology Optimization framework for shell structures based on PHT-splines (PHT-AITO). In this framework, the design domain, displacement, and density are represented by PHT-splines. Leveraging the local refinement capability of PHT-splines, mesh elements defining the density function are adaptively refined to achieve a suitable resolution at the interface between solid and void regions. This addresses the issue of excessive degrees of freedom resulting from global refinement. The refinement of the mesh elements is driven by their density. During the","authors_text":"Falai Chen, Hongmei Kang, Qiong Pan, Xiaoya Zhai, Zepeng Wen","cross_cats":["cs.CE","cs.CG","cs.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-12-13T04:23:44Z","title":"Adaptive Isogeometric Topology Optimization of Shell Structures based on PHT-splines"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.07889","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":"sha256:4a95872196e6a767779f1fedb50ce9fb3f42066a48dbdc03c54f10e22c3858fb","target":"record","created_at":"2026-07-05T07:23:38Z","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":"879a3c7dc0f3d799de77d2213b7b2172c6e3f91208e63e493732c576e5e77960","cross_cats_sorted":["cs.CE","cs.CG","cs.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-12-13T04:23:44Z","title_canon_sha256":"0129fb6808653338f8c864786a50ca7b18e80bcaa781cccee8d0e5fd24798ff7"},"schema_version":"1.0","source":{"id":"2312.07889","kind":"arxiv","version":1}},"canonical_sha256":"4fc484d64f0ad7d76d67d97bc7f6fc748b9f502b7f25824339b37c492a32cafb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4fc484d64f0ad7d76d67d97bc7f6fc748b9f502b7f25824339b37c492a32cafb","first_computed_at":"2026-07-05T07:23:38.774926Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:23:38.774926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y4eGmzZQrrRyrjYyUKnS3+M18jYqf82ddcM9L0lwlF7OtX/s8CByGyBOCXGm/oPXtYE4iOB12KMlPQn8abL/DQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:23:38.775433Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.07889","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a95872196e6a767779f1fedb50ce9fb3f42066a48dbdc03c54f10e22c3858fb","sha256:aad0a83f1874eacef8663681f9d4406e59a5b1364908552a55df24c1cce5b4b0"],"state_sha256":"c96ef8e7cdb3e4316000707b867d7632f36969bb38563de45a45a2b3c0869edf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"otYABvoY8smn91JujdF8oeV815kN0rvDY5dSOdgF7A1IH+O+HdPLpff0mlh0hIUMbEhkeEEC+ra6H9sZlxPFBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T23:24:12.411131Z","bundle_sha256":"af6be464289329ab94394532920d81e3974a31d3061ffc8ec20d9dca7b1a43f6"}}