{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:OBVDTDGNZLMKQZIXY6II4E45UP","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":"e4fadc7a5890d179a468573afb72a7805b13f80b8797b027242246889214a4dd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.med-ph","submitted_at":"2011-09-03T15:31:36Z","title_canon_sha256":"bf49805e55300c63add4027ca2755dae737eb8616fa3ebc8f9c0d3a236af8603"},"schema_version":"1.0","source":{"id":"1109.0629","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.0629","created_at":"2026-05-18T03:48:34Z"},{"alias_kind":"arxiv_version","alias_value":"1109.0629v3","created_at":"2026-05-18T03:48:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.0629","created_at":"2026-05-18T03:48:34Z"},{"alias_kind":"pith_short_12","alias_value":"OBVDTDGNZLMK","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"OBVDTDGNZLMKQZIX","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"OBVDTDGN","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:221d4f828df889fa3c1143fb2829c3e8bacf20da436f7e5646cee7bae1f1dfda","target":"graph","created_at":"2026-05-18T03:48:34Z","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":"Iterative image reconstruction (IIR) with sparsity-exploiting methods, such as total variation (TV) minimization, investigated in compressive sensing (CS) claim potentially large reductions in sampling requirements. Quantifying this claim for computed tomography (CT) is non-trivial, because both full sampling in the discrete-to-discrete imaging model and the reduction in sampling admitted by sparsity-exploiting methods are ill-defined. The present article proposes definitions of full sampling by introducing four sufficient-sampling conditions (SSCs). The SSCs are based on the condition number ","authors_text":"Emil Y. Sidky, Jakob H. J{\\o}rgensen, Xiaochuan Pan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.med-ph","submitted_at":"2011-09-03T15:31:36Z","title":"Quantifying admissible undersampling for sparsity-exploiting iterative image reconstruction in X-ray CT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.0629","kind":"arxiv","version":3},"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":"sha256:61dfe515f85f6f9ff10e36383b1fb7e6bc72a9ec10030a57491e3cb54e5029a5","target":"record","created_at":"2026-05-18T03:48:34Z","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":"e4fadc7a5890d179a468573afb72a7805b13f80b8797b027242246889214a4dd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.med-ph","submitted_at":"2011-09-03T15:31:36Z","title_canon_sha256":"bf49805e55300c63add4027ca2755dae737eb8616fa3ebc8f9c0d3a236af8603"},"schema_version":"1.0","source":{"id":"1109.0629","kind":"arxiv","version":3}},"canonical_sha256":"706a398ccdcad8a86517c7908e139da3cda0442d6bcbf5a692f6193a62f06ddf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"706a398ccdcad8a86517c7908e139da3cda0442d6bcbf5a692f6193a62f06ddf","first_computed_at":"2026-05-18T03:48:34.141563Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:48:34.141563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/yTydvMr3oVcOKrWmRKVaFa6RYneTp2AS3GNIpReOE0P4iQZMVyv9yLqEnI47IfucpoHaeA2mAcWVzmu2PlkBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:48:34.142084Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.0629","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:61dfe515f85f6f9ff10e36383b1fb7e6bc72a9ec10030a57491e3cb54e5029a5","sha256:221d4f828df889fa3c1143fb2829c3e8bacf20da436f7e5646cee7bae1f1dfda"],"state_sha256":"24731eefa53a82c0054f53f85f8fbb5e268329201771d917fb06faa968d64525"}