{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:2KIMQUXISAFKZYJPWQCNXFR4AZ","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":"27a0c8de8b302cd430635ed48205a9f5f20d9b95bfd5641489d9aea0e608307d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.med-ph","submitted_at":"2015-03-05T18:18:48Z","title_canon_sha256":"ca207052827c5aadfe5919c42c934eabd4c1c0cd51bac19cdbf6759a27ab9951"},"schema_version":"1.0","source":{"id":"1503.01721","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.01721","created_at":"2026-05-18T00:51:18Z"},{"alias_kind":"arxiv_version","alias_value":"1503.01721v1","created_at":"2026-05-18T00:51:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.01721","created_at":"2026-05-18T00:51:18Z"},{"alias_kind":"pith_short_12","alias_value":"2KIMQUXISAFK","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"2KIMQUXISAFKZYJP","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"2KIMQUXI","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:f45846d35dc2fc862865d65e375b26cdfc1bd847ae52de0adaec780308db6c3f","target":"graph","created_at":"2026-05-18T00:51:18Z","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":"VMAT optimization is a computationally challenging problem due to its large data size, high degrees of freedom, and many hardware constraints. High-performance graphics processing units have been used to speed up the computations. However, its small memory size cannot handle cases with a large dose-deposition coefficient (DDC) matrix. This paper is to report an implementation of our column-generation based VMAT algorithm on a multi-GPU platform to solve the memory limitation problem. The column-generation approach generates apertures sequentially by solving a pricing problem (PP) and a master ","authors_text":"Fei Peng, Jun Tan, Michael Folkerts, Steve B. Jiang, Xun Jia, Zhen Tian","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.med-ph","submitted_at":"2015-03-05T18:18:48Z","title":"Multi-GPU implementation of a VMAT treatment plan optimization algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01721","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:af27e9a6ed5fd5e799a5f193dbf047ec3bbae04a955f37edbadc2e10016bdf3d","target":"record","created_at":"2026-05-18T00:51:18Z","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":"27a0c8de8b302cd430635ed48205a9f5f20d9b95bfd5641489d9aea0e608307d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.med-ph","submitted_at":"2015-03-05T18:18:48Z","title_canon_sha256":"ca207052827c5aadfe5919c42c934eabd4c1c0cd51bac19cdbf6759a27ab9951"},"schema_version":"1.0","source":{"id":"1503.01721","kind":"arxiv","version":1}},"canonical_sha256":"d290c852e8900aace12fb404db963c067d6fc4c70b605d34ff6b087dc999414c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d290c852e8900aace12fb404db963c067d6fc4c70b605d34ff6b087dc999414c","first_computed_at":"2026-05-18T00:51:18.735258Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:18.735258Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7kvfaiZsn3z2ir+1RYRzl9bATuLJXcCQCd8wuqEed69s9gMMXCEHtTsCJOJVeF8nsq8cZv6dXGI5Odb2ZT4YAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:18.735925Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.01721","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af27e9a6ed5fd5e799a5f193dbf047ec3bbae04a955f37edbadc2e10016bdf3d","sha256:f45846d35dc2fc862865d65e375b26cdfc1bd847ae52de0adaec780308db6c3f"],"state_sha256":"b4dc5b2b916294c3b69d0205c2463f3060d3df662390dbc04f28b0a462949152"}