{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:OINPCRY3BRD6FAK3E54ZMSG6KE","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":"a8e7c13fd861f83528c6b6801e0191863ffbcdac54b330cabb39034e24e03173","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-03-20T20:55:47Z","title_canon_sha256":"fb8d949bafe3339e1845cf50aa00cc2c2ba08f619476fdd0ede28812da895023"},"schema_version":"1.0","source":{"id":"1303.5097","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.5097","created_at":"2026-05-18T03:30:14Z"},{"alias_kind":"arxiv_version","alias_value":"1303.5097v1","created_at":"2026-05-18T03:30:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.5097","created_at":"2026-05-18T03:30:14Z"},{"alias_kind":"pith_short_12","alias_value":"OINPCRY3BRD6","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"OINPCRY3BRD6FAK3","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"OINPCRY3","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:19401999ca67a938a8d79ad60a618c83d6b966546d615f266ce1ef7439d07405","target":"graph","created_at":"2026-05-18T03:30:14Z","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":"This short note proves the $\\ell_2-\\ell_1$ instance optimality of a $\\ell_1/\\ell_1$ solver, i.e a variant of \\emph{basis pursuit denoising} with a $\\ell_1$ fidelity constraint, when applied to the estimation of sparse (or compressible) signals observed by sparsely corrupted compressive measurements. The approach simply combines two known results due to Y. Plan, R. Vershynin and E. Cand\\`es.","authors_text":"Laurent Jacques","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-03-20T20:55:47Z","title":"On the optimality of a L1/L1 solver for sparse signal recovery from sparsely corrupted compressive measurements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.5097","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":"sha256:0e34aedd3b174febc6b0925bb4c0a8c929cc808cda4991c87e6678cce952c930","target":"record","created_at":"2026-05-18T03:30:14Z","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":"a8e7c13fd861f83528c6b6801e0191863ffbcdac54b330cabb39034e24e03173","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-03-20T20:55:47Z","title_canon_sha256":"fb8d949bafe3339e1845cf50aa00cc2c2ba08f619476fdd0ede28812da895023"},"schema_version":"1.0","source":{"id":"1303.5097","kind":"arxiv","version":1}},"canonical_sha256":"721af1471b0c47e2815b27799648de5117f785ede3bc5e35c3e6f55afbae44c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"721af1471b0c47e2815b27799648de5117f785ede3bc5e35c3e6f55afbae44c3","first_computed_at":"2026-05-18T03:30:14.593320Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:14.593320Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dmrxLbDDnG8QPpJd9CZD+Phxssxy/DsTPoGhZZiTRUoBsoq++6AW3gGwVhLVgRWb5K8VaveYlWz8aI6Rb5wQBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:14.593924Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.5097","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e34aedd3b174febc6b0925bb4c0a8c929cc808cda4991c87e6678cce952c930","sha256:19401999ca67a938a8d79ad60a618c83d6b966546d615f266ce1ef7439d07405"],"state_sha256":"ca4bc24ddaebb89184f154fb9310e3219b033040685cd1af175012fc429f1d28"}