{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:M3W4V6ZVD6JSYVRDBI25TK5SKS","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":"520c83622eab00a7db7a888afc8e1d06b7d4278a8c279eb96b4a3416795b0dc0","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-02-20T11:31:23Z","title_canon_sha256":"68e0d9367508480fca50be9933e2a00d04fafc5d0612482fedfeed779d0c0222"},"schema_version":"1.0","source":{"id":"1802.07065","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.07065","created_at":"2026-05-18T00:22:53Z"},{"alias_kind":"arxiv_version","alias_value":"1802.07065v1","created_at":"2026-05-18T00:22:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.07065","created_at":"2026-05-18T00:22:53Z"},{"alias_kind":"pith_short_12","alias_value":"M3W4V6ZVD6JS","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"M3W4V6ZVD6JSYVRD","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"M3W4V6ZV","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:06a8ce4d04e701a9618c96355dc3fe8eddbbd73c842c6b1f430ab14c46bcaace","target":"graph","created_at":"2026-05-18T00:22:53Z","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":"This paper compares centralized and distributed methods to solve the power minimization problem with quality-of-service (QoS) constraints in the downlink (DL) of multi-cell Massive multiple-input multiple-output (MIMO) systems. In particular, we study the computational complexity, number of parameters that need to be exchanged between base stations (BSs), and the convergence of iterative implementations. Although a distributed implementation based on dual decomposition (which only requires statistical channel knowledge at each BS) typically converges to the global optimum after a few iteration","authors_text":"Emil Bj\\\"ornson, Erik G. Larsson, Trinh Van Chien, Tuan Anh Le","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-02-20T11:31:23Z","title":"Distributed Power Control in Downlink Cellular Massive MIMO Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.07065","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":"sha256:93371da3a41d90b946b5cfeed5af9a9170588a397e4fa0b247c0afcbe0b05fd8","target":"record","created_at":"2026-05-18T00:22:53Z","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":"520c83622eab00a7db7a888afc8e1d06b7d4278a8c279eb96b4a3416795b0dc0","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-02-20T11:31:23Z","title_canon_sha256":"68e0d9367508480fca50be9933e2a00d04fafc5d0612482fedfeed779d0c0222"},"schema_version":"1.0","source":{"id":"1802.07065","kind":"arxiv","version":1}},"canonical_sha256":"66edcafb351f932c56230a35d9abb25492f0500531453cead5db393b771c7aa2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"66edcafb351f932c56230a35d9abb25492f0500531453cead5db393b771c7aa2","first_computed_at":"2026-05-18T00:22:53.614732Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:53.614732Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tx71hza1renb18yGmHFIYHblx0bDQsslnL5s+Doc1AtboofFSpWSQMYchcJKK9nvsknZ+VoNkjGemuAFEdO/BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:53.615203Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.07065","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93371da3a41d90b946b5cfeed5af9a9170588a397e4fa0b247c0afcbe0b05fd8","sha256:06a8ce4d04e701a9618c96355dc3fe8eddbbd73c842c6b1f430ab14c46bcaace"],"state_sha256":"1e870c7a2eb81f6ed787055570f1dd9d9fb0f050b7337a38e1bf57b39e3166d4"}