{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2W3R32WPYK43DTLSMMPLGHEDPF","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":"84d1ae6a6c83d23c6e8d10c81dbc21c5f805f5c0129e802edba98ada6c59ad4c","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-12-21T20:41:43Z","title_canon_sha256":"eb5b26b965e41be236797af95e13a2a1d99dcfdc7148897a3190118a5afacf7e"},"schema_version":"1.0","source":{"id":"1412.6833","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.6833","created_at":"2026-05-18T01:35:11Z"},{"alias_kind":"arxiv_version","alias_value":"1412.6833v1","created_at":"2026-05-18T01:35:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.6833","created_at":"2026-05-18T01:35:11Z"},{"alias_kind":"pith_short_12","alias_value":"2W3R32WPYK43","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2W3R32WPYK43DTLS","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2W3R32WP","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:cd409b60380b414cc0554ef7f4b5d21d6f9fbd216e506a05b11d288b3d43351f","target":"graph","created_at":"2026-05-18T01:35:11Z","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 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","authors_text":"Emil Y. Sidky, Jakob S. J{\\o}rgensen","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-12-21T20:41:43Z","title":"How little data is enough? Phase-diagram analysis of sparsity-regularized X-ray CT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.6833","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":"sha256:3a3f163b19c5c909aab830ab58d4dc23e42e3848ed59a63418620ffb5a79b2e7","target":"record","created_at":"2026-05-18T01:35:11Z","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":"84d1ae6a6c83d23c6e8d10c81dbc21c5f805f5c0129e802edba98ada6c59ad4c","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-12-21T20:41:43Z","title_canon_sha256":"eb5b26b965e41be236797af95e13a2a1d99dcfdc7148897a3190118a5afacf7e"},"schema_version":"1.0","source":{"id":"1412.6833","kind":"arxiv","version":1}},"canonical_sha256":"d5b71deacfc2b9b1cd72631eb31c8379732b8e0cef18f7a103431429792a7aee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5b71deacfc2b9b1cd72631eb31c8379732b8e0cef18f7a103431429792a7aee","first_computed_at":"2026-05-18T01:35:11.574934Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:11.574934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SQ968ggqPFdoIU3HFWpvQg466DiJ0ipoafru6/4WFDWjvCAorGg+oZ6mJejh6slx5iU9VkeOP2hS/hXu+6/OCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:11.575648Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.6833","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a3f163b19c5c909aab830ab58d4dc23e42e3848ed59a63418620ffb5a79b2e7","sha256:cd409b60380b414cc0554ef7f4b5d21d6f9fbd216e506a05b11d288b3d43351f"],"state_sha256":"7c2f0c25c5c1058e5d4778e6c2b0638633fd4a96c614dde1aaca7ca52284e513"}