{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FYT2UIA4P3XGKDVU5KVDH6N3YQ","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":"ef14f35bc5c75c0341b33e6c3f2be17a6983c6c5c0eccd016510a2520acdb9d7","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-10-12T08:27:29Z","title_canon_sha256":"dcdb375f97d0e055d3832c0266cb591ee91f043607b04b3e5fd2270350d436e2"},"schema_version":"1.0","source":{"id":"1810.05400","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.05400","created_at":"2026-05-18T00:03:30Z"},{"alias_kind":"arxiv_version","alias_value":"1810.05400v1","created_at":"2026-05-18T00:03:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.05400","created_at":"2026-05-18T00:03:30Z"},{"alias_kind":"pith_short_12","alias_value":"FYT2UIA4P3XG","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"FYT2UIA4P3XGKDVU","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"FYT2UIA4","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:0d5412926d343d0ecdc83259f8b04e97c03cafd9f1d58f2816b39c38b7177aa8","target":"graph","created_at":"2026-05-18T00:03:30Z","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":"In this paper, we study an interference alignment (IA) scheme with finite time extension and beamformer selection method with low computational complexity for X channel. An IA scheme with a chain structure by the Latin square is proposed for Kx3 multiple-input multiple-output (MIMO) X channel. Since the proposed scheme can have a larger set of possible beamformers than the conventional schemes, its performance is improved by the efficient beamformer selection for a given channel. Also, we propose a condition number (CN) based beamformer selection method with low computational complexity and it","authors_text":"Jong-Seon No, Jong-Yoon Yoon, Sang-Hyo Kim, Young-Sik Moon","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-10-12T08:27:29Z","title":"Interference Alignment Schemes Using Latin Square for Kx3 MIMO X Channel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.05400","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":"sha256:343daad323775db84bd152840470cc95a87aa89aab1fb0f14b1e70ca603c6be4","target":"record","created_at":"2026-05-18T00:03:30Z","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":"ef14f35bc5c75c0341b33e6c3f2be17a6983c6c5c0eccd016510a2520acdb9d7","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-10-12T08:27:29Z","title_canon_sha256":"dcdb375f97d0e055d3832c0266cb591ee91f043607b04b3e5fd2270350d436e2"},"schema_version":"1.0","source":{"id":"1810.05400","kind":"arxiv","version":1}},"canonical_sha256":"2e27aa201c7eee650eb4eaaa33f9bbc406ad16e969c89f943b7748a783749ad9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e27aa201c7eee650eb4eaaa33f9bbc406ad16e969c89f943b7748a783749ad9","first_computed_at":"2026-05-18T00:03:30.699333Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:30.699333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T13J+9BlQe0VQQNlaOh3BAV1I6W1HHbE7dihzAuhEdV4npVcQ079NYWGIMqNYwd1ygnvUtGGysW3nLO/oWQVAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:30.699837Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.05400","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:343daad323775db84bd152840470cc95a87aa89aab1fb0f14b1e70ca603c6be4","sha256:0d5412926d343d0ecdc83259f8b04e97c03cafd9f1d58f2816b39c38b7177aa8"],"state_sha256":"e399b785107111020356b057967818c3a0f01966b325ae3fa0180346d2f75c52"}