{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:MAFKB4PEMFR4BS5ZWZMMTSBDKA","short_pith_number":"pith:MAFKB4PE","schema_version":"1.0","canonical_sha256":"600aa0f1e46163c0cbb9b658c9c82350009422c38031c9070948869fddf58af4","source":{"kind":"arxiv","id":"1302.5168","version":1},"attestation_state":"computed","paper":{"title":"q-ary Compressive Sensing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","math.ST","stat.TH"],"primary_cat":"cs.IT","authors_text":"Lorenzo Rosasco, Youssef Mroueh","submitted_at":"2013-02-21T03:27:46Z","abstract_excerpt":"We introduce q-ary compressive sensing, an extension of 1-bit compressive sensing. We propose a novel sensing mechanism and a corresponding recovery procedure. The recovery properties of the proposed approach are analyzed both theoretically and empirically. Results in 1-bit compressive sensing are recovered as a special case. Our theoretical results suggest a tradeoff between the quantization parameter q, and the number of measurements m in the control of the error of the resulting recovery algorithm, as well its robustness to noise."},"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":"1302.5168","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-02-21T03:27:46Z","cross_cats_sorted":["math.IT","math.ST","stat.TH"],"title_canon_sha256":"35bc9d25cb609caeba3c4d7f946e8932a85b254cfd24f39f1921c9eddf887963","abstract_canon_sha256":"6c7eebc5cf2819f51a5e4673d969ed15e361d4fc0d282745f2cd1630d0488190"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:32:59.498244Z","signature_b64":"9Cukf/RpJ1zc3xNePSSVnGAOJLKCD4OVi6AOdDGwM4Q6k8t6obeKv2fySu/NklxqnSkbBZmejXSdiZN/MJYlDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"600aa0f1e46163c0cbb9b658c9c82350009422c38031c9070948869fddf58af4","last_reissued_at":"2026-05-18T03:32:59.497454Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:32:59.497454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"q-ary Compressive Sensing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","math.ST","stat.TH"],"primary_cat":"cs.IT","authors_text":"Lorenzo Rosasco, Youssef Mroueh","submitted_at":"2013-02-21T03:27:46Z","abstract_excerpt":"We introduce q-ary compressive sensing, an extension of 1-bit compressive sensing. We propose a novel sensing mechanism and a corresponding recovery procedure. The recovery properties of the proposed approach are analyzed both theoretically and empirically. Results in 1-bit compressive sensing are recovered as a special case. Our theoretical results suggest a tradeoff between the quantization parameter q, and the number of measurements m in the control of the error of the resulting recovery algorithm, as well its robustness to noise."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.5168","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":"1302.5168","created_at":"2026-05-18T03:32:59.497583+00:00"},{"alias_kind":"arxiv_version","alias_value":"1302.5168v1","created_at":"2026-05-18T03:32:59.497583+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.5168","created_at":"2026-05-18T03:32:59.497583+00:00"},{"alias_kind":"pith_short_12","alias_value":"MAFKB4PEMFR4","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_16","alias_value":"MAFKB4PEMFR4BS5Z","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_8","alias_value":"MAFKB4PE","created_at":"2026-05-18T12:27:51.066281+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/MAFKB4PEMFR4BS5ZWZMMTSBDKA","json":"https://pith.science/pith/MAFKB4PEMFR4BS5ZWZMMTSBDKA.json","graph_json":"https://pith.science/api/pith-number/MAFKB4PEMFR4BS5ZWZMMTSBDKA/graph.json","events_json":"https://pith.science/api/pith-number/MAFKB4PEMFR4BS5ZWZMMTSBDKA/events.json","paper":"https://pith.science/paper/MAFKB4PE"},"agent_actions":{"view_html":"https://pith.science/pith/MAFKB4PEMFR4BS5ZWZMMTSBDKA","download_json":"https://pith.science/pith/MAFKB4PEMFR4BS5ZWZMMTSBDKA.json","view_paper":"https://pith.science/paper/MAFKB4PE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1302.5168&json=true","fetch_graph":"https://pith.science/api/pith-number/MAFKB4PEMFR4BS5ZWZMMTSBDKA/graph.json","fetch_events":"https://pith.science/api/pith-number/MAFKB4PEMFR4BS5ZWZMMTSBDKA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MAFKB4PEMFR4BS5ZWZMMTSBDKA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MAFKB4PEMFR4BS5ZWZMMTSBDKA/action/storage_attestation","attest_author":"https://pith.science/pith/MAFKB4PEMFR4BS5ZWZMMTSBDKA/action/author_attestation","sign_citation":"https://pith.science/pith/MAFKB4PEMFR4BS5ZWZMMTSBDKA/action/citation_signature","submit_replication":"https://pith.science/pith/MAFKB4PEMFR4BS5ZWZMMTSBDKA/action/replication_record"}},"created_at":"2026-05-18T03:32:59.497583+00:00","updated_at":"2026-05-18T03:32:59.497583+00:00"}