{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:ARVLQCV5OH7SMHFIULD7FDZXDL","short_pith_number":"pith:ARVLQCV5","schema_version":"1.0","canonical_sha256":"046ab80abd71ff261ca8a2c7f28f371acda41b82d141501684f0de1442559ebe","source":{"kind":"arxiv","id":"1212.0369","version":1},"attestation_state":"computed","paper":{"title":"Consistency of l1 recovery from noisy deterministic measurements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Charles Dossal, R\\'emi Tesson","submitted_at":"2012-12-03T12:52:03Z","abstract_excerpt":"In this paper a new result of recovery of sparse vectors from deterministic and noisy measurements by l1 minimization is given. The sparse vector is randomly chosen and follows a generic p-sparse model introduced by Candes and al. The main theorem ensures consistency of l1 minimization with high probability. This first result is secondly extended to compressible vectors."},"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":"1212.0369","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-12-03T12:52:03Z","cross_cats_sorted":[],"title_canon_sha256":"2bce6d08c9b979b1fae3c694ff74b08387ee7e36c1bc30acdd494cf878d5dbdc","abstract_canon_sha256":"97b318bf751f7040480002d6128fd4a38eb118b44e80ca8d7760eb1a01c647a5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:39:17.732257Z","signature_b64":"SlisoyDfmE1GFa6Filq2gryXxv7o/t49qTICUe7VblWhiMmvfYoAQTYfjlLjZAGv0E0idcqENut1MBhUJEWgDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"046ab80abd71ff261ca8a2c7f28f371acda41b82d141501684f0de1442559ebe","last_reissued_at":"2026-05-18T03:39:17.731703Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:39:17.731703Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Consistency of l1 recovery from noisy deterministic measurements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Charles Dossal, R\\'emi Tesson","submitted_at":"2012-12-03T12:52:03Z","abstract_excerpt":"In this paper a new result of recovery of sparse vectors from deterministic and noisy measurements by l1 minimization is given. The sparse vector is randomly chosen and follows a generic p-sparse model introduced by Candes and al. The main theorem ensures consistency of l1 minimization with high probability. This first result is secondly extended to compressible vectors."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.0369","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":"1212.0369","created_at":"2026-05-18T03:39:17.731798+00:00"},{"alias_kind":"arxiv_version","alias_value":"1212.0369v1","created_at":"2026-05-18T03:39:17.731798+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.0369","created_at":"2026-05-18T03:39:17.731798+00:00"},{"alias_kind":"pith_short_12","alias_value":"ARVLQCV5OH7S","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_16","alias_value":"ARVLQCV5OH7SMHFI","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_8","alias_value":"ARVLQCV5","created_at":"2026-05-18T12:26:58.693483+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/ARVLQCV5OH7SMHFIULD7FDZXDL","json":"https://pith.science/pith/ARVLQCV5OH7SMHFIULD7FDZXDL.json","graph_json":"https://pith.science/api/pith-number/ARVLQCV5OH7SMHFIULD7FDZXDL/graph.json","events_json":"https://pith.science/api/pith-number/ARVLQCV5OH7SMHFIULD7FDZXDL/events.json","paper":"https://pith.science/paper/ARVLQCV5"},"agent_actions":{"view_html":"https://pith.science/pith/ARVLQCV5OH7SMHFIULD7FDZXDL","download_json":"https://pith.science/pith/ARVLQCV5OH7SMHFIULD7FDZXDL.json","view_paper":"https://pith.science/paper/ARVLQCV5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1212.0369&json=true","fetch_graph":"https://pith.science/api/pith-number/ARVLQCV5OH7SMHFIULD7FDZXDL/graph.json","fetch_events":"https://pith.science/api/pith-number/ARVLQCV5OH7SMHFIULD7FDZXDL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ARVLQCV5OH7SMHFIULD7FDZXDL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ARVLQCV5OH7SMHFIULD7FDZXDL/action/storage_attestation","attest_author":"https://pith.science/pith/ARVLQCV5OH7SMHFIULD7FDZXDL/action/author_attestation","sign_citation":"https://pith.science/pith/ARVLQCV5OH7SMHFIULD7FDZXDL/action/citation_signature","submit_replication":"https://pith.science/pith/ARVLQCV5OH7SMHFIULD7FDZXDL/action/replication_record"}},"created_at":"2026-05-18T03:39:17.731798+00:00","updated_at":"2026-05-18T03:39:17.731798+00:00"}