{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:TGSXQVPN55YQP2IMUTELMUUKF7","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":"63e78ff00fa431ef1d4b1b1ba1e18eb58d9114a79cc1d7fee3d1ec77207b88ca","cross_cats_sorted":["cs.SY","math.IT","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-08-25T08:35:39Z","title_canon_sha256":"9c031a278c0f591b04fdc5c1cb96a0fca61e76707a53915bc760fb840d52458a"},"schema_version":"1.0","source":{"id":"1108.5037","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.5037","created_at":"2026-05-18T02:00:48Z"},{"alias_kind":"arxiv_version","alias_value":"1108.5037v2","created_at":"2026-05-18T02:00:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.5037","created_at":"2026-05-18T02:00:48Z"},{"alias_kind":"pith_short_12","alias_value":"TGSXQVPN55YQ","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TGSXQVPN55YQP2IM","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TGSXQVPN","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:d196f7cf04c24bad75315763836cd69b4330b98bce98c4716c8a3e3b7fa97013","target":"graph","created_at":"2026-05-18T02:00:48Z","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":"Compressed sensing aims at reconstructing sparse signals from significantly reduced number of samples, and a popular reconstruction approach is $\\ell_1$-norm minimization. In this correspondence, a method called orthonormal expansion is presented to reformulate the basis pursuit problem for noiseless compressed sensing. Two algorithms are proposed based on convex optimization: one exactly solves the problem and the other is a relaxed version of the first one. The latter can be considered as a modified iterative soft thresholding algorithm and is easy to implement. Numerical simulation shows th","authors_text":"Cishen Zhang, Jun Deng, Wenmiao Lu, Zai Yang","cross_cats":["cs.SY","math.IT","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-08-25T08:35:39Z","title":"Orthonormal Expansion l1-Minimization Algorithms for Compressed Sensing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.5037","kind":"arxiv","version":2},"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":"sha256:4f6c8c759fdc3c8458edd9ee8f04458ced1ea38ec69900194d4cfa3450954ee6","target":"record","created_at":"2026-05-18T02:00:48Z","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":"63e78ff00fa431ef1d4b1b1ba1e18eb58d9114a79cc1d7fee3d1ec77207b88ca","cross_cats_sorted":["cs.SY","math.IT","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-08-25T08:35:39Z","title_canon_sha256":"9c031a278c0f591b04fdc5c1cb96a0fca61e76707a53915bc760fb840d52458a"},"schema_version":"1.0","source":{"id":"1108.5037","kind":"arxiv","version":2}},"canonical_sha256":"99a57855edef7107e90ca4c8b6528a2fdc6cab38520dd15631458c7c21f106ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99a57855edef7107e90ca4c8b6528a2fdc6cab38520dd15631458c7c21f106ce","first_computed_at":"2026-05-18T02:00:48.277485Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:48.277485Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LWYmg70eE0Jp3pEPIUMWvI+T4tZE3xA79xbKClUqTia7OaVZ3bgKEn3UTYSuvsj7OKv+UtSZc/U+EVr4j7WEDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:48.278200Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.5037","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f6c8c759fdc3c8458edd9ee8f04458ced1ea38ec69900194d4cfa3450954ee6","sha256:d196f7cf04c24bad75315763836cd69b4330b98bce98c4716c8a3e3b7fa97013"],"state_sha256":"a3fbafe532d788cf27d5b6dbb2db7cf791a218c9b949f736093a9f4ee714c605"}