{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:2TBEVWY3MP455SUG3FMYLO4B72","short_pith_number":"pith:2TBEVWY3","canonical_record":{"source":{"id":"1405.7412","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-05-28T22:14:14Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"8ece63c8a4400d2196e6ff6960837cb941081f1e0bcb30a3d6e51c83b4a832b0","abstract_canon_sha256":"886f5beee273ab22e3a39496b3bb3f65c7ffd54f0c05f34c62b5cbad877e05f8"},"schema_version":"1.0"},"canonical_sha256":"d4c24adb1b63f9deca86d95985bb81fe9beb2b29b4bcc26e44d31c38d0332141","source":{"kind":"arxiv","id":"1405.7412","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.7412","created_at":"2026-05-18T02:41:10Z"},{"alias_kind":"arxiv_version","alias_value":"1405.7412v2","created_at":"2026-05-18T02:41:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.7412","created_at":"2026-05-18T02:41:10Z"},{"alias_kind":"pith_short_12","alias_value":"2TBEVWY3MP45","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2TBEVWY3MP455SUG","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2TBEVWY3","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:2TBEVWY3MP455SUG3FMYLO4B72","target":"record","payload":{"canonical_record":{"source":{"id":"1405.7412","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-05-28T22:14:14Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"8ece63c8a4400d2196e6ff6960837cb941081f1e0bcb30a3d6e51c83b4a832b0","abstract_canon_sha256":"886f5beee273ab22e3a39496b3bb3f65c7ffd54f0c05f34c62b5cbad877e05f8"},"schema_version":"1.0"},"canonical_sha256":"d4c24adb1b63f9deca86d95985bb81fe9beb2b29b4bcc26e44d31c38d0332141","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:10.040351Z","signature_b64":"1bmnE2O662WUvwfE+zrcb0SYBrfmQgKHhFidmqV+w7tcyXSzh5LuSlaVNq3wlrdK7YCYuvb03mpInL4iUwukDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4c24adb1b63f9deca86d95985bb81fe9beb2b29b4bcc26e44d31c38d0332141","last_reissued_at":"2026-05-18T02:41:10.039880Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:10.039880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.7412","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:41:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5EWCrsQS3QHvI5KBtPfucRKcTN/WN9veUnnWB1/uv3omk2qGK95VvsTlesUErzNR1AkxZv8gpSSp0W+f7+GxBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T07:19:14.086167Z"},"content_sha256":"344c2ff650dcaf492301e2f9470cd127b590d1a0c4ad696ac657593ac3aa8576","schema_version":"1.0","event_id":"sha256:344c2ff650dcaf492301e2f9470cd127b590d1a0c4ad696ac657593ac3aa8576"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:2TBEVWY3MP455SUG3FMYLO4B72","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Power Allocation for Precoding in Large-Scale MIMO Systems with Per-Antenna Constraint","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Boyu Li, Dengkui Zhu, Ping Liang","submitted_at":"2014-05-28T22:14:14Z","abstract_excerpt":"Large-scale MIMO systems have been considered as one of the possible candidates for the next-generation wireless communication technique, due to their potential to provide significant higher throughput than conventional wireless systems. For such systems, Zero-Forcing (ZF) and Conjugate Beamforming (CB) precoding have been considered as two possible practical spatial multiplexing techniques, and their average achievable sum rates have been derived on the sum power constraint. However, in practice, the transmitting power at a base station is constrained under each antenna. In this case, the opt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.7412","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:41:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WfIBS61HDBtJhUGGye76mnrjeD2LcVRy950NjM2QjMrOODhyyWQP3RKChyFw8DhHigPO6aAiLwQ3yRvT6C9zBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T07:19:14.086763Z"},"content_sha256":"0e659fc7ae76e2269215bd5f97f2bc6bfa49f67a269c70fdbe424b521e17b164","schema_version":"1.0","event_id":"sha256:0e659fc7ae76e2269215bd5f97f2bc6bfa49f67a269c70fdbe424b521e17b164"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2TBEVWY3MP455SUG3FMYLO4B72/bundle.json","state_url":"https://pith.science/pith/2TBEVWY3MP455SUG3FMYLO4B72/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2TBEVWY3MP455SUG3FMYLO4B72/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-04T07:19:14Z","links":{"resolver":"https://pith.science/pith/2TBEVWY3MP455SUG3FMYLO4B72","bundle":"https://pith.science/pith/2TBEVWY3MP455SUG3FMYLO4B72/bundle.json","state":"https://pith.science/pith/2TBEVWY3MP455SUG3FMYLO4B72/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2TBEVWY3MP455SUG3FMYLO4B72/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2TBEVWY3MP455SUG3FMYLO4B72","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":"886f5beee273ab22e3a39496b3bb3f65c7ffd54f0c05f34c62b5cbad877e05f8","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-05-28T22:14:14Z","title_canon_sha256":"8ece63c8a4400d2196e6ff6960837cb941081f1e0bcb30a3d6e51c83b4a832b0"},"schema_version":"1.0","source":{"id":"1405.7412","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.7412","created_at":"2026-05-18T02:41:10Z"},{"alias_kind":"arxiv_version","alias_value":"1405.7412v2","created_at":"2026-05-18T02:41:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.7412","created_at":"2026-05-18T02:41:10Z"},{"alias_kind":"pith_short_12","alias_value":"2TBEVWY3MP45","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2TBEVWY3MP455SUG","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2TBEVWY3","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:0e659fc7ae76e2269215bd5f97f2bc6bfa49f67a269c70fdbe424b521e17b164","target":"graph","created_at":"2026-05-18T02:41:10Z","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":"Large-scale MIMO systems have been considered as one of the possible candidates for the next-generation wireless communication technique, due to their potential to provide significant higher throughput than conventional wireless systems. For such systems, Zero-Forcing (ZF) and Conjugate Beamforming (CB) precoding have been considered as two possible practical spatial multiplexing techniques, and their average achievable sum rates have been derived on the sum power constraint. However, in practice, the transmitting power at a base station is constrained under each antenna. In this case, the opt","authors_text":"Boyu Li, Dengkui Zhu, Ping Liang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-05-28T22:14:14Z","title":"Power Allocation for Precoding in Large-Scale MIMO Systems with Per-Antenna Constraint"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.7412","kind":"arxiv","version":2},"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":"sha256:344c2ff650dcaf492301e2f9470cd127b590d1a0c4ad696ac657593ac3aa8576","target":"record","created_at":"2026-05-18T02:41:10Z","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":"886f5beee273ab22e3a39496b3bb3f65c7ffd54f0c05f34c62b5cbad877e05f8","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-05-28T22:14:14Z","title_canon_sha256":"8ece63c8a4400d2196e6ff6960837cb941081f1e0bcb30a3d6e51c83b4a832b0"},"schema_version":"1.0","source":{"id":"1405.7412","kind":"arxiv","version":2}},"canonical_sha256":"d4c24adb1b63f9deca86d95985bb81fe9beb2b29b4bcc26e44d31c38d0332141","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4c24adb1b63f9deca86d95985bb81fe9beb2b29b4bcc26e44d31c38d0332141","first_computed_at":"2026-05-18T02:41:10.039880Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:10.039880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1bmnE2O662WUvwfE+zrcb0SYBrfmQgKHhFidmqV+w7tcyXSzh5LuSlaVNq3wlrdK7YCYuvb03mpInL4iUwukDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:10.040351Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.7412","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:344c2ff650dcaf492301e2f9470cd127b590d1a0c4ad696ac657593ac3aa8576","sha256:0e659fc7ae76e2269215bd5f97f2bc6bfa49f67a269c70fdbe424b521e17b164"],"state_sha256":"a8846c38b63f65a9aa44846918bec8682fe1977bc6fd7574fe11da19b57619bd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hz1aWue8xRmhMCKA2ZSctRzrtSo7/mMyHxg+Hs2OswdOwZHIWGySrb+7kdZGyJW9F3LedzK95E0EnGSfnysCAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T07:19:14.089724Z","bundle_sha256":"3c01c591155d9274b54f65397663372416fd0c291d12b044cf1cb7f9c7360b26"}}