{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:ERN7HS3PTZ45PMD46GM7KBUZR3","short_pith_number":"pith:ERN7HS3P","schema_version":"1.0","canonical_sha256":"245bf3cb6f9e79d7b07cf199f506998eed25e654dbbf327734c5b7a9179b83e1","source":{"kind":"arxiv","id":"1407.3064","version":3},"attestation_state":"computed","paper":{"title":"Distributed Compressed Sensing off the Grid","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Peilin Liu, Rendong Ying, Sumxin Jiang, Wenxian Yu, Zhenqi Lu","submitted_at":"2014-07-11T08:38:26Z","abstract_excerpt":"This letter investigates the joint recovery of a frequency-sparse signal ensemble sharing a common frequency-sparse component from the collection of their compressed measurements. Unlike conventional arts in compressed sensing, the frequencies follow an off-the-grid formulation and are continuously valued in $\\left\\lbrack 0,1 \\right\\rbrack$. As an extension of atomic norm, the concatenated atomic norm minimization approach is proposed to handle the exact recovery of signals, which is reformulated as a computationally tractable semidefinite program. The optimality of the proposed approach is ch"},"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":"1407.3064","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-07-11T08:38:26Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"ddcef7f854af2fb4e1f31a6a93e9699c7f96c123512c14d11460cf687e29515f","abstract_canon_sha256":"f4165a8a877e4aa8ecb8c6102011fc7c4171c1dacebd8a8d5da6f2e2db4908b3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:37.723085Z","signature_b64":"M6dit3Vuq5Np8HygNx0RYW0j86Kr9Sf8KIhs9XwZwb76sr4uDecyDWUjL7TJVnuCTZLAvZErNiucGdp3kWwgDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"245bf3cb6f9e79d7b07cf199f506998eed25e654dbbf327734c5b7a9179b83e1","last_reissued_at":"2026-05-18T01:42:37.722448Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:37.722448Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Distributed Compressed Sensing off the Grid","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Peilin Liu, Rendong Ying, Sumxin Jiang, Wenxian Yu, Zhenqi Lu","submitted_at":"2014-07-11T08:38:26Z","abstract_excerpt":"This letter investigates the joint recovery of a frequency-sparse signal ensemble sharing a common frequency-sparse component from the collection of their compressed measurements. Unlike conventional arts in compressed sensing, the frequencies follow an off-the-grid formulation and are continuously valued in $\\left\\lbrack 0,1 \\right\\rbrack$. As an extension of atomic norm, the concatenated atomic norm minimization approach is proposed to handle the exact recovery of signals, which is reformulated as a computationally tractable semidefinite program. The optimality of the proposed approach is ch"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.3064","kind":"arxiv","version":3},"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":"1407.3064","created_at":"2026-05-18T01:42:37.722553+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.3064v3","created_at":"2026-05-18T01:42:37.722553+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.3064","created_at":"2026-05-18T01:42:37.722553+00:00"},{"alias_kind":"pith_short_12","alias_value":"ERN7HS3PTZ45","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_16","alias_value":"ERN7HS3PTZ45PMD4","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_8","alias_value":"ERN7HS3P","created_at":"2026-05-18T12:28:28.263976+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/ERN7HS3PTZ45PMD46GM7KBUZR3","json":"https://pith.science/pith/ERN7HS3PTZ45PMD46GM7KBUZR3.json","graph_json":"https://pith.science/api/pith-number/ERN7HS3PTZ45PMD46GM7KBUZR3/graph.json","events_json":"https://pith.science/api/pith-number/ERN7HS3PTZ45PMD46GM7KBUZR3/events.json","paper":"https://pith.science/paper/ERN7HS3P"},"agent_actions":{"view_html":"https://pith.science/pith/ERN7HS3PTZ45PMD46GM7KBUZR3","download_json":"https://pith.science/pith/ERN7HS3PTZ45PMD46GM7KBUZR3.json","view_paper":"https://pith.science/paper/ERN7HS3P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.3064&json=true","fetch_graph":"https://pith.science/api/pith-number/ERN7HS3PTZ45PMD46GM7KBUZR3/graph.json","fetch_events":"https://pith.science/api/pith-number/ERN7HS3PTZ45PMD46GM7KBUZR3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ERN7HS3PTZ45PMD46GM7KBUZR3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ERN7HS3PTZ45PMD46GM7KBUZR3/action/storage_attestation","attest_author":"https://pith.science/pith/ERN7HS3PTZ45PMD46GM7KBUZR3/action/author_attestation","sign_citation":"https://pith.science/pith/ERN7HS3PTZ45PMD46GM7KBUZR3/action/citation_signature","submit_replication":"https://pith.science/pith/ERN7HS3PTZ45PMD46GM7KBUZR3/action/replication_record"}},"created_at":"2026-05-18T01:42:37.722553+00:00","updated_at":"2026-05-18T01:42:37.722553+00:00"}