{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WQNCWFGCJA6J4RHDYMIG3ROEHJ","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":"55d14547643236f788cb2ae22bad59fec07f531978878f325a355086c8aabae0","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-02T11:43:31Z","title_canon_sha256":"228a205aea3485aa1c04587d8030ea0c379c035e3044bd528b39f32cdc281ae2"},"schema_version":"1.0","source":{"id":"1512.00658","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.00658","created_at":"2026-05-18T01:25:25Z"},{"alias_kind":"arxiv_version","alias_value":"1512.00658v1","created_at":"2026-05-18T01:25:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.00658","created_at":"2026-05-18T01:25:25Z"},{"alias_kind":"pith_short_12","alias_value":"WQNCWFGCJA6J","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WQNCWFGCJA6J4RHD","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WQNCWFGC","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:39fbc72bd3c881ba31e46120aebc85dc9685f6c7cdfb6fe87061fd82c66b7d0b","target":"graph","created_at":"2026-05-18T01:25:25Z","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 letter, we derive an approximate analytical expression for the uplink achievable rate of a massive multi-input multi-output (MIMO) antenna system when finite precision analog-digital converters (ADCs) and the common maximal ratio combining technique are used at the receivers. To obtain this expression, we treat quantization noise as an additive quantization noise model. Considering the obtained expression, we show that low-resolution ADCs lead to a decrease in the achievable rate but the performance loss can be compensated by increasing the number of receiving antennas. In addition, we","authors_text":"Chao-Kai Wen, Haixia Zhang, Li Fan, Shi Jin","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-02T11:43:31Z","title":"Uplink Achievable Rate for Massive MIMO with Low-Resolution ADC"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.00658","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":"sha256:8f2d988e2c3132211364b5ff044584fd960c0095d52300b13b15572e26b5df56","target":"record","created_at":"2026-05-18T01:25:25Z","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":"55d14547643236f788cb2ae22bad59fec07f531978878f325a355086c8aabae0","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-02T11:43:31Z","title_canon_sha256":"228a205aea3485aa1c04587d8030ea0c379c035e3044bd528b39f32cdc281ae2"},"schema_version":"1.0","source":{"id":"1512.00658","kind":"arxiv","version":1}},"canonical_sha256":"b41a2b14c2483c9e44e3c3106dc5c43a6bdd0303dbb96f198ecce144a648239a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b41a2b14c2483c9e44e3c3106dc5c43a6bdd0303dbb96f198ecce144a648239a","first_computed_at":"2026-05-18T01:25:25.448457Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:25.448457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wUOi8gAEDlSPg07RsjmoDAS8DsxhHPEX/HIgJzrlzmdLDK7Mr77JY5hWDxGG37nk6qTUyRpAEa7SsUTI3BIUBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:25.449021Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.00658","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8f2d988e2c3132211364b5ff044584fd960c0095d52300b13b15572e26b5df56","sha256:39fbc72bd3c881ba31e46120aebc85dc9685f6c7cdfb6fe87061fd82c66b7d0b"],"state_sha256":"390ce2e156c6d5945134d5e1cf9f5483f1deea85f46d3ff8c2055543aca0cd1b"}