{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:2W3R32WPYK43DTLSMMPLGHEDPF","short_pith_number":"pith:2W3R32WP","schema_version":"1.0","canonical_sha256":"d5b71deacfc2b9b1cd72631eb31c8379732b8e0cef18f7a103431429792a7aee","source":{"kind":"arxiv","id":"1412.6833","version":1},"attestation_state":"computed","paper":{"title":"How little data is enough? Phase-diagram analysis of sparsity-regularized X-ray CT","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"math.OC","authors_text":"Emil Y. Sidky, Jakob S. J{\\o}rgensen","submitted_at":"2014-12-21T20:41:43Z","abstract_excerpt":"We introduce phase-diagram analysis, a standard tool in compressed sensing, to the X-ray CT community as a systematic method for determining how few projections suffice for accurate sparsity-regularized reconstruction. In compressed sensing a phase diagram is a convenient way to study and express certain theoretical relations between sparsity and sufficient sampling. We adapt phase-diagram analysis for empirical use in X-ray CT for which the same theoretical results do not hold. We demonstrate in three case studies the potential of phase-diagram analysis for providing quantitative answers to q"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1412.6833","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-12-21T20:41:43Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"eb5b26b965e41be236797af95e13a2a1d99dcfdc7148897a3190118a5afacf7e","abstract_canon_sha256":"84d1ae6a6c83d23c6e8d10c81dbc21c5f805f5c0129e802edba98ada6c59ad4c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:11.575648Z","signature_b64":"SQ968ggqPFdoIU3HFWpvQg466DiJ0ipoafru6/4WFDWjvCAorGg+oZ6mJejh6slx5iU9VkeOP2hS/hXu+6/OCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5b71deacfc2b9b1cd72631eb31c8379732b8e0cef18f7a103431429792a7aee","last_reissued_at":"2026-05-18T01:35:11.574934Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:11.574934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"How little data is enough? Phase-diagram analysis of sparsity-regularized X-ray CT","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"math.OC","authors_text":"Emil Y. Sidky, Jakob S. J{\\o}rgensen","submitted_at":"2014-12-21T20:41:43Z","abstract_excerpt":"We introduce phase-diagram analysis, a standard tool in compressed sensing, to the X-ray CT community as a systematic method for determining how few projections suffice for accurate sparsity-regularized reconstruction. In compressed sensing a phase diagram is a convenient way to study and express certain theoretical relations between sparsity and sufficient sampling. We adapt phase-diagram analysis for empirical use in X-ray CT for which the same theoretical results do not hold. We demonstrate in three case studies the potential of phase-diagram analysis for providing quantitative answers to q"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.6833","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1412.6833","created_at":"2026-05-18T01:35:11.575043+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.6833v1","created_at":"2026-05-18T01:35:11.575043+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.6833","created_at":"2026-05-18T01:35:11.575043+00:00"},{"alias_kind":"pith_short_12","alias_value":"2W3R32WPYK43","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"2W3R32WPYK43DTLS","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"2W3R32WP","created_at":"2026-05-18T12:28:11.866339+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2W3R32WPYK43DTLSMMPLGHEDPF","json":"https://pith.science/pith/2W3R32WPYK43DTLSMMPLGHEDPF.json","graph_json":"https://pith.science/api/pith-number/2W3R32WPYK43DTLSMMPLGHEDPF/graph.json","events_json":"https://pith.science/api/pith-number/2W3R32WPYK43DTLSMMPLGHEDPF/events.json","paper":"https://pith.science/paper/2W3R32WP"},"agent_actions":{"view_html":"https://pith.science/pith/2W3R32WPYK43DTLSMMPLGHEDPF","download_json":"https://pith.science/pith/2W3R32WPYK43DTLSMMPLGHEDPF.json","view_paper":"https://pith.science/paper/2W3R32WP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.6833&json=true","fetch_graph":"https://pith.science/api/pith-number/2W3R32WPYK43DTLSMMPLGHEDPF/graph.json","fetch_events":"https://pith.science/api/pith-number/2W3R32WPYK43DTLSMMPLGHEDPF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2W3R32WPYK43DTLSMMPLGHEDPF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2W3R32WPYK43DTLSMMPLGHEDPF/action/storage_attestation","attest_author":"https://pith.science/pith/2W3R32WPYK43DTLSMMPLGHEDPF/action/author_attestation","sign_citation":"https://pith.science/pith/2W3R32WPYK43DTLSMMPLGHEDPF/action/citation_signature","submit_replication":"https://pith.science/pith/2W3R32WPYK43DTLSMMPLGHEDPF/action/replication_record"}},"created_at":"2026-05-18T01:35:11.575043+00:00","updated_at":"2026-05-18T01:35:11.575043+00:00"}