{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:O57WG6I4XGQVJ4XP2ALOQWYWR4","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":"f5a02ea4919149237304b6f7da95efc07a5c51b0b973651ef6eaeefdcd5a17e8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.OC","submitted_at":"2021-08-06T17:15:08Z","title_canon_sha256":"d413e8f8c94281e3ff0bae84d8928aa33344b97e72372fd1b30896a7aa061642"},"schema_version":"1.0","source":{"id":"2108.03209","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2108.03209","created_at":"2026-07-05T03:03:47Z"},{"alias_kind":"arxiv_version","alias_value":"2108.03209v1","created_at":"2026-07-05T03:03:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.03209","created_at":"2026-07-05T03:03:47Z"},{"alias_kind":"pith_short_12","alias_value":"O57WG6I4XGQV","created_at":"2026-07-05T03:03:47Z"},{"alias_kind":"pith_short_16","alias_value":"O57WG6I4XGQVJ4XP","created_at":"2026-07-05T03:03:47Z"},{"alias_kind":"pith_short_8","alias_value":"O57WG6I4","created_at":"2026-07-05T03:03:47Z"}],"graph_snapshots":[{"event_id":"sha256:85b67ef2bf4db95b35b09eaad946b4371542c87ad197abe9e19f485090c6bb0a","target":"graph","created_at":"2026-07-05T03:03:47Z","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/2108.03209/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In cancer radiotherapy, the standard formulation of the optimal fractionation problem based on the linear-quadratic dose-response model is a non-convex quadratically constrained quadratic program (QCQP). An optimal solution for this QCQP can be derived by solving a two-variable linear program. Feasibility of this solution, however, crucially depends on the so-called alphaover-beta ratios for the organs-at-risk, whose true values are unknown. Consequently, the dosing schedule presumed optimal, in fact, may not even be feasible in practice. We address this by proposing a robust counterpart of th","authors_text":"Ali Ajdari, Archis Ghate","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.OC","submitted_at":"2021-08-06T17:15:08Z","title":"Robust fractionation in cancer radiotherapy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.03209","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":"sha256:3fabdee3bbf084cec05aab9263bfdbda16eb18374fee984cf11f5fa600e6ac68","target":"record","created_at":"2026-07-05T03:03:47Z","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":"f5a02ea4919149237304b6f7da95efc07a5c51b0b973651ef6eaeefdcd5a17e8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.OC","submitted_at":"2021-08-06T17:15:08Z","title_canon_sha256":"d413e8f8c94281e3ff0bae84d8928aa33344b97e72372fd1b30896a7aa061642"},"schema_version":"1.0","source":{"id":"2108.03209","kind":"arxiv","version":1}},"canonical_sha256":"777f63791cb9a154f2efd016e85b168f05dee9f4a79601a2a3c14286009c60a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"777f63791cb9a154f2efd016e85b168f05dee9f4a79601a2a3c14286009c60a1","first_computed_at":"2026-07-05T03:03:47.440903Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:03:47.440903Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ih90wEpFWulFAMRwZdy0di/o6CMaBBjyvSoAb9joZ7AT4tmJc/kLycvKR1WSZNQqcx6gSafHcASVMKEkpmSPBg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:03:47.441305Z","signed_message":"canonical_sha256_bytes"},"source_id":"2108.03209","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3fabdee3bbf084cec05aab9263bfdbda16eb18374fee984cf11f5fa600e6ac68","sha256:85b67ef2bf4db95b35b09eaad946b4371542c87ad197abe9e19f485090c6bb0a"],"state_sha256":"bacb1ad05e366ff3578af913e1be4392d5f04ad3e246801ffdf278e4ea10b2e1"}