{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:TL6LAG53BWDUMVWSN5KJS5ERND","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":"82e3e1a9e51abe2476692d2fcc53c27827313ef5f0e1f4c13430338496792115","cross_cats_sorted":[],"license":"","primary_cat":"physics.med-ph","submitted_at":"2007-07-27T16:11:09Z","title_canon_sha256":"e27c3adc599451f80bdb4af92fcb588934bf73ef609c1a9eb9a1c1c4445abea9"},"schema_version":"1.0","source":{"id":"0707.4144","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0707.4144","created_at":"2026-05-18T04:09:15Z"},{"alias_kind":"arxiv_version","alias_value":"0707.4144v2","created_at":"2026-05-18T04:09:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.4144","created_at":"2026-05-18T04:09:15Z"},{"alias_kind":"pith_short_12","alias_value":"TL6LAG53BWDU","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"TL6LAG53BWDUMVWS","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"TL6LAG53","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:0feeba7d6915e6555e5c80c34919b9fcaf766c60b6cb301adb8981db958bc867","target":"graph","created_at":"2026-05-18T04:09:15Z","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":"A new variant of the pencil-beam (PB) algorithm for dose distribution calculation for radiotherapy with protons and heavier ions, the grid-dose spreading (GDS) algorithm, is proposed. The GDS algorithm is intrinsically faster than conventional PB algorithms due to approximations in convolution integral, where physical calculations are decoupled from simple grid-to-grid energy transfer. It was effortlessly implemented to a carbon-ion radiotherapy treatment planning system to enable realistic beam blurring in the field, which was absent with the broad-beam (BB) algorithm. For a typical prostate ","authors_text":"Azusa Ishizaki, Nobuyuki Kanematsu, Shunsuke Yonai","cross_cats":[],"headline":"","license":"","primary_cat":"physics.med-ph","submitted_at":"2007-07-27T16:11:09Z","title":"The grid-dose-spreading algorithm for dose distribution calculation in heavy charged particle radiotherapy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.4144","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":"sha256:31633a2cce93dfc11d1d115fdcce6c934422edc25328fd1d581fe05f43d8f838","target":"record","created_at":"2026-05-18T04:09:15Z","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":"82e3e1a9e51abe2476692d2fcc53c27827313ef5f0e1f4c13430338496792115","cross_cats_sorted":[],"license":"","primary_cat":"physics.med-ph","submitted_at":"2007-07-27T16:11:09Z","title_canon_sha256":"e27c3adc599451f80bdb4af92fcb588934bf73ef609c1a9eb9a1c1c4445abea9"},"schema_version":"1.0","source":{"id":"0707.4144","kind":"arxiv","version":2}},"canonical_sha256":"9afcb01bbb0d874656d26f5499749168d6f8f499667de6a61f8c264eb65f94c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9afcb01bbb0d874656d26f5499749168d6f8f499667de6a61f8c264eb65f94c5","first_computed_at":"2026-05-18T04:09:15.391179Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:09:15.391179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"La4t5WTAhu0njkf8uTctIXwnzZZPsNQj+ReF7AIfGDpeG50VdVnxbcLOoLQbj5v7TGf84MLy0NtLGGIHWudmBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:09:15.391664Z","signed_message":"canonical_sha256_bytes"},"source_id":"0707.4144","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31633a2cce93dfc11d1d115fdcce6c934422edc25328fd1d581fe05f43d8f838","sha256:0feeba7d6915e6555e5c80c34919b9fcaf766c60b6cb301adb8981db958bc867"],"state_sha256":"ce50d7ba76b312491afe8319a453d37f1fc42eb952d4f27508c26826668146af"}