{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:E76FKLASEVUUZXIGU54RFNK5M7","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":"b21c7a6b7ec0f4ad6a67b5b975eb3f2028c136d9a24d4fc920f7d0c29b725daa","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2024-01-11T15:38:31Z","title_canon_sha256":"7d6ed738050d58af050ae6b959a417f299330dba41bc6e313085388f8ca2a60e"},"schema_version":"1.0","source":{"id":"2401.05984","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.05984","created_at":"2026-07-05T07:33:25Z"},{"alias_kind":"arxiv_version","alias_value":"2401.05984v2","created_at":"2026-07-05T07:33:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.05984","created_at":"2026-07-05T07:33:25Z"},{"alias_kind":"pith_short_12","alias_value":"E76FKLASEVUU","created_at":"2026-07-05T07:33:25Z"},{"alias_kind":"pith_short_16","alias_value":"E76FKLASEVUUZXIG","created_at":"2026-07-05T07:33:25Z"},{"alias_kind":"pith_short_8","alias_value":"E76FKLAS","created_at":"2026-07-05T07:33:25Z"}],"graph_snapshots":[{"event_id":"sha256:4e8c328bbd6120e2dc34c15f081bed51d1f845eac8e28ee28251e21bd3383104","target":"graph","created_at":"2026-07-05T07:33:25Z","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/2401.05984/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a new software package, \"HybridOctree_Hex,\" for adaptive all-hexahedral mesh generation based on hybrid octree and quality improvement with Jacobian control. The proposed HybridOctree_Hex begins by detecting curvatures and narrow regions of the input boundary to identify key surface features and initialize an octree structure. Subsequently, a strongly balanced octree is constructed using the balancing and pairing rules. Inspired by our earlier preliminary hybrid octree-based work, templates are designed to guarantee an all-hexahedral dual mesh generation directly from the strongly b","authors_text":"Eni Halilaj, Hua Tong, Yongjie Jessica Zhang","cross_cats":["cs.NA","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2024-01-11T15:38:31Z","title":"HybridOctree_Hex: Hybrid Octree-Based Adaptive All-Hexahedral Mesh Generation with Jacobian Control"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.05984","kind":"arxiv","version":2},"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:aa6e17653bbea79886b7e8b231e9b2bb4f1653b4c0e8912e2f217c4eb49589a5","target":"record","created_at":"2026-07-05T07:33:25Z","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":"b21c7a6b7ec0f4ad6a67b5b975eb3f2028c136d9a24d4fc920f7d0c29b725daa","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2024-01-11T15:38:31Z","title_canon_sha256":"7d6ed738050d58af050ae6b959a417f299330dba41bc6e313085388f8ca2a60e"},"schema_version":"1.0","source":{"id":"2401.05984","kind":"arxiv","version":2}},"canonical_sha256":"27fc552c1225694cdd06a77912b55d67eba3534fbf078c7d5d1261682cce107b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27fc552c1225694cdd06a77912b55d67eba3534fbf078c7d5d1261682cce107b","first_computed_at":"2026-07-05T07:33:25.937868Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:33:25.937868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+rGWkiBd4bHuKgMoVp3wsOD9eTcmBFoffxc126GCU0csBDTi45EXej5iBtR5oczL43GFrzPo5+obpcgl7OuxCA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:33:25.938292Z","signed_message":"canonical_sha256_bytes"},"source_id":"2401.05984","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa6e17653bbea79886b7e8b231e9b2bb4f1653b4c0e8912e2f217c4eb49589a5","sha256:4e8c328bbd6120e2dc34c15f081bed51d1f845eac8e28ee28251e21bd3383104"],"state_sha256":"4ea4d52ff4f69982ef160077bdf404f802cdc2911fafe3dc2e3d23bd53ce2802"}