{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:44TAEB5JIB2UYS3BEFALXU6ZFG","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":"8f1e2a62d1159e4493023d549b7fc4b330e0e3eaebcfbb8a04071fb737838e0f","cross_cats_sorted":["cs.CG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2020-09-06T07:31:29Z","title_canon_sha256":"1e6e02105021feb1b872634c496d435ae8dcb67f6a4ec2675cc4bde153477f83"},"schema_version":"1.0","source":{"id":"2009.02660","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2009.02660","created_at":"2026-07-05T01:33:24Z"},{"alias_kind":"arxiv_version","alias_value":"2009.02660v1","created_at":"2026-07-05T01:33:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.02660","created_at":"2026-07-05T01:33:24Z"},{"alias_kind":"pith_short_12","alias_value":"44TAEB5JIB2U","created_at":"2026-07-05T01:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"44TAEB5JIB2UYS3B","created_at":"2026-07-05T01:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"44TAEB5J","created_at":"2026-07-05T01:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:4337000cefb4333749f1b803e11ccc04e7a00aaab4b044d0af09c35530e60073","target":"graph","created_at":"2026-07-05T01:33:24Z","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/2009.02660/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper presents a new method to generate tool paths for machining freeform surfaces represented either as parametric surfaces or as triangular meshes. This method allows for the optimal tradeoff between the preferred feed direction field and the constant scallop height, and yields a minimized overall path length. The optimality is achieved by formulating tool path planning as a Poisson problem that minimizes a simple, quadratic energy. This Poisson formulation considers all tool paths at once, without resorting to any heuristic sampling or initial tool path choosing as in existing methods,","authors_text":"Charlie C. L. Wang, Hsi-Yung Feng, Qiang Zou","cross_cats":["cs.CG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2020-09-06T07:31:29Z","title":"Length-optimal tool path planning for freeform surfaces with preferred feed directions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.02660","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":"sha256:32e56a000d010e550cad584e22a7cfee3b676eeaece1070b98d96b0d090b0207","target":"record","created_at":"2026-07-05T01:33:24Z","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":"8f1e2a62d1159e4493023d549b7fc4b330e0e3eaebcfbb8a04071fb737838e0f","cross_cats_sorted":["cs.CG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GR","submitted_at":"2020-09-06T07:31:29Z","title_canon_sha256":"1e6e02105021feb1b872634c496d435ae8dcb67f6a4ec2675cc4bde153477f83"},"schema_version":"1.0","source":{"id":"2009.02660","kind":"arxiv","version":1}},"canonical_sha256":"e7260207a940754c4b612140bbd3d92980a29c5bf8123a0671155526d51379fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e7260207a940754c4b612140bbd3d92980a29c5bf8123a0671155526d51379fd","first_computed_at":"2026-07-05T01:33:24.622387Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:33:24.622387Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Eq1CLGjkvSh7Y4prCsgKx7HyLpqvellgq1ms5dZjcBTRfvi3dAa6N/uoSBqByP3Bz5b0gvBK3GUedYRGxWDsBg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:33:24.622730Z","signed_message":"canonical_sha256_bytes"},"source_id":"2009.02660","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32e56a000d010e550cad584e22a7cfee3b676eeaece1070b98d96b0d090b0207","sha256:4337000cefb4333749f1b803e11ccc04e7a00aaab4b044d0af09c35530e60073"],"state_sha256":"b625e856d1411fcbb603574510b80d8dedcdd4d1b63826d6539c64662a982acb"}