{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:3URYC73KVKWTNJSP42HLOYTM47","short_pith_number":"pith:3URYC73K","canonical_record":{"source":{"id":"1605.05231","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-05-17T16:39:54Z","cross_cats_sorted":["cs.CE","physics.med-ph"],"title_canon_sha256":"7f354a698bd09ad0ade8b2ee4fd0932a6d7c10c7fb94bb1cd30c1efc691567bb","abstract_canon_sha256":"bfb73ede3f7d60052dcbf456421497339ce96b6b6e582fadaa6644fe3f8b80a3"},"schema_version":"1.0"},"canonical_sha256":"dd23817f6aaaad36a64fe68eb7626ce7ec7c471b5dff2dc0d72188b742e44219","source":{"kind":"arxiv","id":"1605.05231","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.05231","created_at":"2026-05-18T01:14:37Z"},{"alias_kind":"arxiv_version","alias_value":"1605.05231v1","created_at":"2026-05-18T01:14:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.05231","created_at":"2026-05-18T01:14:37Z"},{"alias_kind":"pith_short_12","alias_value":"3URYC73KVKWT","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"3URYC73KVKWTNJSP","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"3URYC73K","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:3URYC73KVKWTNJSP42HLOYTM47","target":"record","payload":{"canonical_record":{"source":{"id":"1605.05231","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-05-17T16:39:54Z","cross_cats_sorted":["cs.CE","physics.med-ph"],"title_canon_sha256":"7f354a698bd09ad0ade8b2ee4fd0932a6d7c10c7fb94bb1cd30c1efc691567bb","abstract_canon_sha256":"bfb73ede3f7d60052dcbf456421497339ce96b6b6e582fadaa6644fe3f8b80a3"},"schema_version":"1.0"},"canonical_sha256":"dd23817f6aaaad36a64fe68eb7626ce7ec7c471b5dff2dc0d72188b742e44219","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:14:37.012503Z","signature_b64":"yr97JA0+UdIVw2qBn7SyvV/A+i8IkEkPK3OXMhLmZnw3sQD+fmI2fWQWrfKIXyH9Vrwpkktv6Cl+b/5ZwXNgCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd23817f6aaaad36a64fe68eb7626ce7ec7c471b5dff2dc0d72188b742e44219","last_reissued_at":"2026-05-18T01:14:37.011790Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:14:37.011790Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.05231","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":"2026-05-18T01:14:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AiEtFdP8hVbRhFmhKvFcT/tbyTfA57/a3KEsylK1U2tl7fIO5dZP//2rH6g2pWzuYoTBun5EMRJQFeJCJRQYCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T00:04:52.763937Z"},"content_sha256":"ac6df1e7e0eaafdfc62660deb4a815569d393a1a42163de48ebef58748982d0d","schema_version":"1.0","event_id":"sha256:ac6df1e7e0eaafdfc62660deb4a815569d393a1a42163de48ebef58748982d0d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:3URYC73KVKWTNJSP42HLOYTM47","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Non-uniform Fast Fourier Transform in Computed Tomography","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CE","physics.med-ph"],"primary_cat":"cs.DS","authors_text":"Junqi Tang","submitted_at":"2016-05-17T16:39:54Z","abstract_excerpt":"This project is aimed at designing the fast forward projection algorithm and also the backprojection algorithm for cone beam CT imaging systems with circular X-ray source trajectory. The principle of the designs is based on utilizing the potential computational efficiency which the Fourier Slice Theorem and the Non-uniform Fast Fourier Transform (NUFFT) will bring forth. In this Masters report, the detailed design of the NUFFT based forward projector including a novel 3D (derivative of) Radon space resampling method will be given. Meanwhile the complexity of the NUFFT based forward projector i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.05231","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":"2026-05-18T01:14:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZwaIcT7DlFL/QRMXqMU1n/FCKz1vN4YF52F+2osiLz1ikWZ+MytnXsnb01BjOIZS76eQqaGMA+9mgBkhvb7yAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T00:04:52.764342Z"},"content_sha256":"0ae672bf7e72c5c1722fc98f6c5638c5a379fce1c47abc6944b20ccb5081747b","schema_version":"1.0","event_id":"sha256:0ae672bf7e72c5c1722fc98f6c5638c5a379fce1c47abc6944b20ccb5081747b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3URYC73KVKWTNJSP42HLOYTM47/bundle.json","state_url":"https://pith.science/pith/3URYC73KVKWTNJSP42HLOYTM47/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3URYC73KVKWTNJSP42HLOYTM47/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":"2026-06-22T00:04:52Z","links":{"resolver":"https://pith.science/pith/3URYC73KVKWTNJSP42HLOYTM47","bundle":"https://pith.science/pith/3URYC73KVKWTNJSP42HLOYTM47/bundle.json","state":"https://pith.science/pith/3URYC73KVKWTNJSP42HLOYTM47/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3URYC73KVKWTNJSP42HLOYTM47/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3URYC73KVKWTNJSP42HLOYTM47","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":"bfb73ede3f7d60052dcbf456421497339ce96b6b6e582fadaa6644fe3f8b80a3","cross_cats_sorted":["cs.CE","physics.med-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-05-17T16:39:54Z","title_canon_sha256":"7f354a698bd09ad0ade8b2ee4fd0932a6d7c10c7fb94bb1cd30c1efc691567bb"},"schema_version":"1.0","source":{"id":"1605.05231","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.05231","created_at":"2026-05-18T01:14:37Z"},{"alias_kind":"arxiv_version","alias_value":"1605.05231v1","created_at":"2026-05-18T01:14:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.05231","created_at":"2026-05-18T01:14:37Z"},{"alias_kind":"pith_short_12","alias_value":"3URYC73KVKWT","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"3URYC73KVKWTNJSP","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"3URYC73K","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:0ae672bf7e72c5c1722fc98f6c5638c5a379fce1c47abc6944b20ccb5081747b","target":"graph","created_at":"2026-05-18T01:14:37Z","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":"This project is aimed at designing the fast forward projection algorithm and also the backprojection algorithm for cone beam CT imaging systems with circular X-ray source trajectory. The principle of the designs is based on utilizing the potential computational efficiency which the Fourier Slice Theorem and the Non-uniform Fast Fourier Transform (NUFFT) will bring forth. In this Masters report, the detailed design of the NUFFT based forward projector including a novel 3D (derivative of) Radon space resampling method will be given. Meanwhile the complexity of the NUFFT based forward projector i","authors_text":"Junqi Tang","cross_cats":["cs.CE","physics.med-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-05-17T16:39:54Z","title":"The Non-uniform Fast Fourier Transform in Computed Tomography"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.05231","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:ac6df1e7e0eaafdfc62660deb4a815569d393a1a42163de48ebef58748982d0d","target":"record","created_at":"2026-05-18T01:14:37Z","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":"bfb73ede3f7d60052dcbf456421497339ce96b6b6e582fadaa6644fe3f8b80a3","cross_cats_sorted":["cs.CE","physics.med-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2016-05-17T16:39:54Z","title_canon_sha256":"7f354a698bd09ad0ade8b2ee4fd0932a6d7c10c7fb94bb1cd30c1efc691567bb"},"schema_version":"1.0","source":{"id":"1605.05231","kind":"arxiv","version":1}},"canonical_sha256":"dd23817f6aaaad36a64fe68eb7626ce7ec7c471b5dff2dc0d72188b742e44219","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd23817f6aaaad36a64fe68eb7626ce7ec7c471b5dff2dc0d72188b742e44219","first_computed_at":"2026-05-18T01:14:37.011790Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:14:37.011790Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yr97JA0+UdIVw2qBn7SyvV/A+i8IkEkPK3OXMhLmZnw3sQD+fmI2fWQWrfKIXyH9Vrwpkktv6Cl+b/5ZwXNgCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:14:37.012503Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.05231","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac6df1e7e0eaafdfc62660deb4a815569d393a1a42163de48ebef58748982d0d","sha256:0ae672bf7e72c5c1722fc98f6c5638c5a379fce1c47abc6944b20ccb5081747b"],"state_sha256":"9a226550bacac2e61ff6f18ee85eca0368ad68e4051a5caebcf481fba6924f83"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cSFQ0Wm44zhNhnXIXbqWpGimnK5T4t5IfhH8m5nfEIMFOYnlYCi1pz5C51DsD4ZEneL1+N0GJ1SKcfUKN7xqDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T00:04:52.766305Z","bundle_sha256":"2bd70d7e9e4f4045847c3d5be335c8a207314eb446f07c78a2fd377135eebc36"}}