{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:YHNH5EIVOAKIEEDSY44QYZ26GF","short_pith_number":"pith:YHNH5EIV","schema_version":"1.0","canonical_sha256":"c1da7e91157014821072c7390c675e3145d091ae61446f6ea5b5ae33e1af71e2","source":{"kind":"arxiv","id":"1808.07505","version":2},"attestation_state":"computed","paper":{"title":"Coprime Sensing via Chinese Remaindering over Quadratic Fields, Part I: Array Designs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"eess.SP","authors_text":"Conghui Li, Cong Ling, Lu Gan","submitted_at":"2018-08-22T18:17:39Z","abstract_excerpt":"A coprime antenna array consists of two or more sparse subarrays featuring enhanced degrees of freedom (DOF) and reduced mutual coupling. This paper introduces a new class of planar coprime arrays, based on the theory of ideal lattices. In quadratic number fields, a splitting prime $p$ can be decomposed into the product of two distinct prime ideals, which give rise to the two sparse subarrays. Their virtual difference coarray enjoys a quadratic gain in DOF, thanks to the generalized Chinese Remainder Theorem (CRT). To enlarge the contiguous aperture of the coarray, we present hole-free symmetr"},"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":"1808.07505","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2018-08-22T18:17:39Z","cross_cats_sorted":[],"title_canon_sha256":"4eddffb0ab2b081dfa92884236a28f250bf9c4d91242fe09eac37ced3f6095d6","abstract_canon_sha256":"eb58117928aa4434223986f582c3993c1e2b7e9111245e7316c10a3d8cefa695"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:36.134406Z","signature_b64":"Cht8KZzedC37oO34A3PaX8dwivWSPqRXusnnRnQD0YLVCLO2F18SrnsaMW61pvn2SCrfDdEO9HClaJUvPruqAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c1da7e91157014821072c7390c675e3145d091ae61446f6ea5b5ae33e1af71e2","last_reissued_at":"2026-05-17T23:47:36.134009Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:36.134009Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Coprime Sensing via Chinese Remaindering over Quadratic Fields, Part I: Array Designs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"eess.SP","authors_text":"Conghui Li, Cong Ling, Lu Gan","submitted_at":"2018-08-22T18:17:39Z","abstract_excerpt":"A coprime antenna array consists of two or more sparse subarrays featuring enhanced degrees of freedom (DOF) and reduced mutual coupling. This paper introduces a new class of planar coprime arrays, based on the theory of ideal lattices. In quadratic number fields, a splitting prime $p$ can be decomposed into the product of two distinct prime ideals, which give rise to the two sparse subarrays. Their virtual difference coarray enjoys a quadratic gain in DOF, thanks to the generalized Chinese Remainder Theorem (CRT). To enlarge the contiguous aperture of the coarray, we present hole-free symmetr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.07505","kind":"arxiv","version":2},"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":"1808.07505","created_at":"2026-05-17T23:47:36.134068+00:00"},{"alias_kind":"arxiv_version","alias_value":"1808.07505v2","created_at":"2026-05-17T23:47:36.134068+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.07505","created_at":"2026-05-17T23:47:36.134068+00:00"},{"alias_kind":"pith_short_12","alias_value":"YHNH5EIVOAKI","created_at":"2026-05-18T12:33:04.347982+00:00"},{"alias_kind":"pith_short_16","alias_value":"YHNH5EIVOAKIEEDS","created_at":"2026-05-18T12:33:04.347982+00:00"},{"alias_kind":"pith_short_8","alias_value":"YHNH5EIV","created_at":"2026-05-18T12:33:04.347982+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/YHNH5EIVOAKIEEDSY44QYZ26GF","json":"https://pith.science/pith/YHNH5EIVOAKIEEDSY44QYZ26GF.json","graph_json":"https://pith.science/api/pith-number/YHNH5EIVOAKIEEDSY44QYZ26GF/graph.json","events_json":"https://pith.science/api/pith-number/YHNH5EIVOAKIEEDSY44QYZ26GF/events.json","paper":"https://pith.science/paper/YHNH5EIV"},"agent_actions":{"view_html":"https://pith.science/pith/YHNH5EIVOAKIEEDSY44QYZ26GF","download_json":"https://pith.science/pith/YHNH5EIVOAKIEEDSY44QYZ26GF.json","view_paper":"https://pith.science/paper/YHNH5EIV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1808.07505&json=true","fetch_graph":"https://pith.science/api/pith-number/YHNH5EIVOAKIEEDSY44QYZ26GF/graph.json","fetch_events":"https://pith.science/api/pith-number/YHNH5EIVOAKIEEDSY44QYZ26GF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YHNH5EIVOAKIEEDSY44QYZ26GF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YHNH5EIVOAKIEEDSY44QYZ26GF/action/storage_attestation","attest_author":"https://pith.science/pith/YHNH5EIVOAKIEEDSY44QYZ26GF/action/author_attestation","sign_citation":"https://pith.science/pith/YHNH5EIVOAKIEEDSY44QYZ26GF/action/citation_signature","submit_replication":"https://pith.science/pith/YHNH5EIVOAKIEEDSY44QYZ26GF/action/replication_record"}},"created_at":"2026-05-17T23:47:36.134068+00:00","updated_at":"2026-05-17T23:47:36.134068+00:00"}