{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:N7QXXRP56ZDZVTRLXALELGAJ2B","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":"eb192d436968ed6822ae30385f608390873adfa23ba29ba6c519efc8e389766d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.med-ph","submitted_at":"2016-01-23T03:14:20Z","title_canon_sha256":"8f7ff7d8d045d58b90494c5b7776482130fcab82bd0700cac2615c0bab6ae595"},"schema_version":"1.0","source":{"id":"1601.06221","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.06221","created_at":"2026-05-18T01:22:05Z"},{"alias_kind":"arxiv_version","alias_value":"1601.06221v1","created_at":"2026-05-18T01:22:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.06221","created_at":"2026-05-18T01:22:05Z"},{"alias_kind":"pith_short_12","alias_value":"N7QXXRP56ZDZ","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"N7QXXRP56ZDZVTRL","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"N7QXXRP5","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:cea31c226f1d7653269ad69ac32b67318de339fec4190d698c9664cd257ae429","target":"graph","created_at":"2026-05-18T01:22:05Z","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":"In limited-view computed tomography reconstruction, iterative image reconstruction with sparsity-exploiting methods, such as total variation (TV) minimization, inspired by compressive sensing, potentially claims large reductions in sampling requirements. However, a quantitative notion of this claim is non-trivial because of the ill-defined reduction in sampling achieved by the sparsity-exploiting method. In this paper, exact reconstruction sampling condition for limited-view problem is studied by verifying the uniqueness of solution in TV minimization model. Uniqueness is tested by solving a c","authors_text":"Bin Yan, Hanming Zhang, Lei Li, Linyuan Wang, Wenkun Zhang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.med-ph","submitted_at":"2016-01-23T03:14:20Z","title":"Quantitative Study on Exact Reconstruction Sampling Condition in Limited-view CT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.06221","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:cae5c5c4ac8d5b6cac84e2672834a69060439d156ad379877aa3ee998c7ab38c","target":"record","created_at":"2026-05-18T01:22:05Z","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":"eb192d436968ed6822ae30385f608390873adfa23ba29ba6c519efc8e389766d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.med-ph","submitted_at":"2016-01-23T03:14:20Z","title_canon_sha256":"8f7ff7d8d045d58b90494c5b7776482130fcab82bd0700cac2615c0bab6ae595"},"schema_version":"1.0","source":{"id":"1601.06221","kind":"arxiv","version":1}},"canonical_sha256":"6fe17bc5fdf6479ace2bb816459809d0404e79941e69a1aa8946ac6d9197c449","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6fe17bc5fdf6479ace2bb816459809d0404e79941e69a1aa8946ac6d9197c449","first_computed_at":"2026-05-18T01:22:05.057072Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:05.057072Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vwJSilhDbEAbnuXR2fNDSzc8yHHjn6lodLjfv2isD9fGrQQHbU6XWUI3dHD7DlawvTamkU5pBnrDz+UuysliBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:05.057643Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.06221","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cae5c5c4ac8d5b6cac84e2672834a69060439d156ad379877aa3ee998c7ab38c","sha256:cea31c226f1d7653269ad69ac32b67318de339fec4190d698c9664cd257ae429"],"state_sha256":"80ed91d184cdcb858bdecb7a2f709ae27bdf797e46b5882785645ad326acf294"}