{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YETWJURKQNYKCGI5CCFHRN2RRF","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":"43f042cfd26fd3dd373b4224785687f27bb5a73df3eba9525ce02bb739af7c3b","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-22T00:49:27Z","title_canon_sha256":"47a9f3d3bee88d43e1b4c8c3bbb9bf2fe05b41e061c7f897d88151046c8d0d91"},"schema_version":"1.0","source":{"id":"1409.6059","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.6059","created_at":"2026-05-18T02:42:13Z"},{"alias_kind":"arxiv_version","alias_value":"1409.6059v1","created_at":"2026-05-18T02:42:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.6059","created_at":"2026-05-18T02:42:13Z"},{"alias_kind":"pith_short_12","alias_value":"YETWJURKQNYK","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YETWJURKQNYKCGI5","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YETWJURK","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:e85aa7c4f9c67791f04583fb9e8c676e739bec552f3c2742fadecd38885e412b","target":"graph","created_at":"2026-05-18T02:42:13Z","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 consider a multiuser multiple-input multiple-output (MU-MIMO) communication system between a base station equipped with multiple antennas and multiple mobile users each equipped with a single antenna. The uplink scenario is considered. The uplink channels are acquired by the base station through a training phase. Two linear processing schemes are considered, namely maximum-ratio combining (MRC) and zero-forcing (ZF). We optimize the training period and optimal training energy under the average and peak power constraint so that an achievable sum rate is maximized.","authors_text":"Songtao Lu, Zhengdao Wang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-22T00:49:27Z","title":"Joint Optimization of Power Allocation and Training Duration for Uplink Multiuser MIMO Communications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.6059","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":"sha256:3f430758349d290a419e71da1f66402c20cc58529f9bb0aa96ae357a8a8120a1","target":"record","created_at":"2026-05-18T02:42:13Z","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":"43f042cfd26fd3dd373b4224785687f27bb5a73df3eba9525ce02bb739af7c3b","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-22T00:49:27Z","title_canon_sha256":"47a9f3d3bee88d43e1b4c8c3bbb9bf2fe05b41e061c7f897d88151046c8d0d91"},"schema_version":"1.0","source":{"id":"1409.6059","kind":"arxiv","version":1}},"canonical_sha256":"c12764d22a8370a1191d108a78b75189741d6a7a422fc82e9fc047b6c4b8392c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c12764d22a8370a1191d108a78b75189741d6a7a422fc82e9fc047b6c4b8392c","first_computed_at":"2026-05-18T02:42:13.846296Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:13.846296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LiBK/upgbwZ8JP8dYu192So1D15Kzvq7O2BfGc3eMuqQX6wShEr85vm6F2T2OuIPgO2NfOnJuRD2oFVsbempDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:13.846677Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.6059","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3f430758349d290a419e71da1f66402c20cc58529f9bb0aa96ae357a8a8120a1","sha256:e85aa7c4f9c67791f04583fb9e8c676e739bec552f3c2742fadecd38885e412b"],"state_sha256":"75b37eae5c7e20a17673a21ac8d11bfc8ecb585687f3988e46f15932236cb913"}