{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:KTKVZTQYCGIBVREASVZSZD5XT7","short_pith_number":"pith:KTKVZTQY","canonical_record":{"source":{"id":"1511.03914","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.med-ph","submitted_at":"2015-11-12T14:57:59Z","cross_cats_sorted":["q-bio.TO"],"title_canon_sha256":"82b5fa0c0d6aea736523c56bdc75f51ef7cac79c637ba552b835213f9a01fe45","abstract_canon_sha256":"9cd0015e25d8bdf6c4d48eed0c3c7022db765195c55fd8c780a19cc202727e49"},"schema_version":"1.0"},"canonical_sha256":"54d55cce1811901ac48095732c8fb79fe3baec702426d98b53b1cd3549a1ab5f","source":{"kind":"arxiv","id":"1511.03914","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.03914","created_at":"2026-05-18T01:27:06Z"},{"alias_kind":"arxiv_version","alias_value":"1511.03914v1","created_at":"2026-05-18T01:27:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.03914","created_at":"2026-05-18T01:27:06Z"},{"alias_kind":"pith_short_12","alias_value":"KTKVZTQYCGIB","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KTKVZTQYCGIBVREA","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KTKVZTQY","created_at":"2026-05-18T12:29:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:KTKVZTQYCGIBVREASVZSZD5XT7","target":"record","payload":{"canonical_record":{"source":{"id":"1511.03914","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.med-ph","submitted_at":"2015-11-12T14:57:59Z","cross_cats_sorted":["q-bio.TO"],"title_canon_sha256":"82b5fa0c0d6aea736523c56bdc75f51ef7cac79c637ba552b835213f9a01fe45","abstract_canon_sha256":"9cd0015e25d8bdf6c4d48eed0c3c7022db765195c55fd8c780a19cc202727e49"},"schema_version":"1.0"},"canonical_sha256":"54d55cce1811901ac48095732c8fb79fe3baec702426d98b53b1cd3549a1ab5f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:27:06.504569Z","signature_b64":"Dn1+YcJn2+sbtuEN/g5W7Nrp+vNQ9GvsZ71dSrSoJgMQS01QdnAOkc/tz6PSOV+6n6Xs00BNKuht075MoPg/BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"54d55cce1811901ac48095732c8fb79fe3baec702426d98b53b1cd3549a1ab5f","last_reissued_at":"2026-05-18T01:27:06.503930Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:27:06.503930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.03914","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:27:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vDOiOibLPpDez56MkGnlx0qCoPlIrw4n7nAZYyLOzKliZvRs/UKfLykoG0dQH0O+C41aU6e1nuTYtm/4xobyAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T18:45:08.031406Z"},"content_sha256":"bc0d6f0f789ebfef2f312e1e80a02da8ca6e52989e77c3cb9209084e0c1eb29d","schema_version":"1.0","event_id":"sha256:bc0d6f0f789ebfef2f312e1e80a02da8ca6e52989e77c3cb9209084e0c1eb29d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:KTKVZTQYCGIBVREASVZSZD5XT7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A kinetic model of tumor growth and its radiation response with an application to Gamma Knife stereotactic radiosurgery","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.TO"],"primary_cat":"physics.med-ph","authors_text":"Erik L. Dahlman, Kevin Z. Leder, Susanta K. Hui, Yoichi Watanabe","submitted_at":"2015-11-12T14:57:59Z","abstract_excerpt":"We developed a mathematical model to simulate the growth of tumor volume and its response to a single fraction of high dose irradiation. We made several key assumptions of the model. Tumor volume is composed of proliferating (or dividing) cancer cells and non-dividing (or dead) cells. Tumor growth rate (or tumor volume doubling time, Td) is proportional to the ratio of the volumes of tumor vasculature and the tumor. The vascular volume grows slower than the tumor by introducing the vascular growth retardation factor, theta. Upon irradiation the proliferating cells gradually die over a fixed ti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.03914","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:27:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BACo5FYlvhx1eilFn3aZHhjr6n5ejmZDKmnoYDh95qFG5LaPmmOvHnD9xZnO6M3V4RSj7byjF/77n0zQ655CCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T18:45:08.031756Z"},"content_sha256":"70117831f4829343d1d6a08b6f80abc1a1b858909e29f3bc4d760d86c6069dd8","schema_version":"1.0","event_id":"sha256:70117831f4829343d1d6a08b6f80abc1a1b858909e29f3bc4d760d86c6069dd8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KTKVZTQYCGIBVREASVZSZD5XT7/bundle.json","state_url":"https://pith.science/pith/KTKVZTQYCGIBVREASVZSZD5XT7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KTKVZTQYCGIBVREASVZSZD5XT7/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-28T18:45:08Z","links":{"resolver":"https://pith.science/pith/KTKVZTQYCGIBVREASVZSZD5XT7","bundle":"https://pith.science/pith/KTKVZTQYCGIBVREASVZSZD5XT7/bundle.json","state":"https://pith.science/pith/KTKVZTQYCGIBVREASVZSZD5XT7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KTKVZTQYCGIBVREASVZSZD5XT7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KTKVZTQYCGIBVREASVZSZD5XT7","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":"9cd0015e25d8bdf6c4d48eed0c3c7022db765195c55fd8c780a19cc202727e49","cross_cats_sorted":["q-bio.TO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.med-ph","submitted_at":"2015-11-12T14:57:59Z","title_canon_sha256":"82b5fa0c0d6aea736523c56bdc75f51ef7cac79c637ba552b835213f9a01fe45"},"schema_version":"1.0","source":{"id":"1511.03914","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.03914","created_at":"2026-05-18T01:27:06Z"},{"alias_kind":"arxiv_version","alias_value":"1511.03914v1","created_at":"2026-05-18T01:27:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.03914","created_at":"2026-05-18T01:27:06Z"},{"alias_kind":"pith_short_12","alias_value":"KTKVZTQYCGIB","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KTKVZTQYCGIBVREA","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KTKVZTQY","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:70117831f4829343d1d6a08b6f80abc1a1b858909e29f3bc4d760d86c6069dd8","target":"graph","created_at":"2026-05-18T01:27:06Z","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":"We developed a mathematical model to simulate the growth of tumor volume and its response to a single fraction of high dose irradiation. We made several key assumptions of the model. Tumor volume is composed of proliferating (or dividing) cancer cells and non-dividing (or dead) cells. Tumor growth rate (or tumor volume doubling time, Td) is proportional to the ratio of the volumes of tumor vasculature and the tumor. The vascular volume grows slower than the tumor by introducing the vascular growth retardation factor, theta. Upon irradiation the proliferating cells gradually die over a fixed ti","authors_text":"Erik L. Dahlman, Kevin Z. Leder, Susanta K. Hui, Yoichi Watanabe","cross_cats":["q-bio.TO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.med-ph","submitted_at":"2015-11-12T14:57:59Z","title":"A kinetic model of tumor growth and its radiation response with an application to Gamma Knife stereotactic radiosurgery"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.03914","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:bc0d6f0f789ebfef2f312e1e80a02da8ca6e52989e77c3cb9209084e0c1eb29d","target":"record","created_at":"2026-05-18T01:27:06Z","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":"9cd0015e25d8bdf6c4d48eed0c3c7022db765195c55fd8c780a19cc202727e49","cross_cats_sorted":["q-bio.TO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.med-ph","submitted_at":"2015-11-12T14:57:59Z","title_canon_sha256":"82b5fa0c0d6aea736523c56bdc75f51ef7cac79c637ba552b835213f9a01fe45"},"schema_version":"1.0","source":{"id":"1511.03914","kind":"arxiv","version":1}},"canonical_sha256":"54d55cce1811901ac48095732c8fb79fe3baec702426d98b53b1cd3549a1ab5f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"54d55cce1811901ac48095732c8fb79fe3baec702426d98b53b1cd3549a1ab5f","first_computed_at":"2026-05-18T01:27:06.503930Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:27:06.503930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Dn1+YcJn2+sbtuEN/g5W7Nrp+vNQ9GvsZ71dSrSoJgMQS01QdnAOkc/tz6PSOV+6n6Xs00BNKuht075MoPg/BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:27:06.504569Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.03914","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc0d6f0f789ebfef2f312e1e80a02da8ca6e52989e77c3cb9209084e0c1eb29d","sha256:70117831f4829343d1d6a08b6f80abc1a1b858909e29f3bc4d760d86c6069dd8"],"state_sha256":"1d79060457632188f050ceed9669dbb82a98c35a40e8d5acaad9767fc05a87e6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gwhZ4biiSPwhCOBIckd352avMPZkV2JqxkfFMJHph6Q5m3L3DFvJfNJBh0Eg16e4FkTlOyH+wnokjATPdNYQAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T18:45:08.033855Z","bundle_sha256":"90dec46b78355ead104239095fe8c0abcd367c32c3e5c3691ed4deae915be4ef"}}