{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:H4NFHU2HKSDRHI2USLITAQSVY3","short_pith_number":"pith:H4NFHU2H","canonical_record":{"source":{"id":"1410.5240","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-10-20T12:13:37Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"377f26d317eca0a404b6563c3381e5d74ca0d253cb001cd9a7747311110a9915","abstract_canon_sha256":"a92e5fb7748cf426669ee271fd1f0d4a9e23d0a99001fbea7c36e16dfe2dd92b"},"schema_version":"1.0"},"canonical_sha256":"3f1a53d347548713a35492d1304255c6e4d11a67a0c0311bad67340a63fb45ce","source":{"kind":"arxiv","id":"1410.5240","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.5240","created_at":"2026-05-18T02:39:46Z"},{"alias_kind":"arxiv_version","alias_value":"1410.5240v1","created_at":"2026-05-18T02:39:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.5240","created_at":"2026-05-18T02:39:46Z"},{"alias_kind":"pith_short_12","alias_value":"H4NFHU2HKSDR","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"H4NFHU2HKSDRHI2U","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"H4NFHU2H","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:H4NFHU2HKSDRHI2USLITAQSVY3","target":"record","payload":{"canonical_record":{"source":{"id":"1410.5240","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-10-20T12:13:37Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"377f26d317eca0a404b6563c3381e5d74ca0d253cb001cd9a7747311110a9915","abstract_canon_sha256":"a92e5fb7748cf426669ee271fd1f0d4a9e23d0a99001fbea7c36e16dfe2dd92b"},"schema_version":"1.0"},"canonical_sha256":"3f1a53d347548713a35492d1304255c6e4d11a67a0c0311bad67340a63fb45ce","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:46.518735Z","signature_b64":"EDjElIknFA/YtbTxc6PDu51OjXTycOx2xB6ue5xj+6FqsBjBO3DO1UeFRnkES1YNN3gaexXDSoQmIH0FiAqpBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f1a53d347548713a35492d1304255c6e4d11a67a0c0311bad67340a63fb45ce","last_reissued_at":"2026-05-18T02:39:46.518183Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:46.518183Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.5240","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:39:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U/1CiKpEl1j3SrNYwAnwooHg36XWnCpC6FXujDGhU/6gNQC1JJ6lXIqNHrbWranZjhk08DSUppzChNS0h2heCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T00:53:18.721922Z"},"content_sha256":"365f3cc9d2456969f9335ea95eb084947c51e12f5ef59215ddb3ac1fde7688c7","schema_version":"1.0","event_id":"sha256:365f3cc9d2456969f9335ea95eb084947c51e12f5ef59215ddb3ac1fde7688c7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:H4NFHU2HKSDRHI2USLITAQSVY3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Energy-Spectral Efficiency Trade-off for a Massive SU-MIMO System with Transceiver Power Consumption","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Saif Khan Mohammed, Sudarshan Mukherjee","submitted_at":"2014-10-20T12:13:37Z","abstract_excerpt":"We consider a single user (SU) massive MIMO system with multiple antennas at the transmitter (base station) and a single antenna at the user terminal (UT). Taking transceiver power consumption into consideration, for a given spectral efficiency (SE) we maximize the energy efficiency (EE) as a function of the number of base station (BS) antennas $M$, resulting in a closed-form expression for the optimal SE-EE trade-off. It is observed that in contrast to the classical SE-EE trade-off (which considers only the radiated power), with transceiver power consumption taken into account, the EE increas"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.5240","kind":"arxiv","version":1},"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":"2026-05-18T02:39:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aMOvx+05zTEuhHhcJSMquvMwsHVDfcf84UTLy8uZKBoOu8Nd3jYaqqv9id9bLh475rlU2s/xIGDR1G12d6rJAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T00:53:18.722260Z"},"content_sha256":"48fe5276bc65ff9658a5048ab6116ead28a6bac41385d0a343fdfbf767b7c3ae","schema_version":"1.0","event_id":"sha256:48fe5276bc65ff9658a5048ab6116ead28a6bac41385d0a343fdfbf767b7c3ae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H4NFHU2HKSDRHI2USLITAQSVY3/bundle.json","state_url":"https://pith.science/pith/H4NFHU2HKSDRHI2USLITAQSVY3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H4NFHU2HKSDRHI2USLITAQSVY3/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":"2026-06-29T00:53:18Z","links":{"resolver":"https://pith.science/pith/H4NFHU2HKSDRHI2USLITAQSVY3","bundle":"https://pith.science/pith/H4NFHU2HKSDRHI2USLITAQSVY3/bundle.json","state":"https://pith.science/pith/H4NFHU2HKSDRHI2USLITAQSVY3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H4NFHU2HKSDRHI2USLITAQSVY3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:H4NFHU2HKSDRHI2USLITAQSVY3","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":"a92e5fb7748cf426669ee271fd1f0d4a9e23d0a99001fbea7c36e16dfe2dd92b","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-10-20T12:13:37Z","title_canon_sha256":"377f26d317eca0a404b6563c3381e5d74ca0d253cb001cd9a7747311110a9915"},"schema_version":"1.0","source":{"id":"1410.5240","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.5240","created_at":"2026-05-18T02:39:46Z"},{"alias_kind":"arxiv_version","alias_value":"1410.5240v1","created_at":"2026-05-18T02:39:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.5240","created_at":"2026-05-18T02:39:46Z"},{"alias_kind":"pith_short_12","alias_value":"H4NFHU2HKSDR","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"H4NFHU2HKSDRHI2U","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"H4NFHU2H","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:48fe5276bc65ff9658a5048ab6116ead28a6bac41385d0a343fdfbf767b7c3ae","target":"graph","created_at":"2026-05-18T02:39:46Z","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":"We consider a single user (SU) massive MIMO system with multiple antennas at the transmitter (base station) and a single antenna at the user terminal (UT). Taking transceiver power consumption into consideration, for a given spectral efficiency (SE) we maximize the energy efficiency (EE) as a function of the number of base station (BS) antennas $M$, resulting in a closed-form expression for the optimal SE-EE trade-off. It is observed that in contrast to the classical SE-EE trade-off (which considers only the radiated power), with transceiver power consumption taken into account, the EE increas","authors_text":"Saif Khan Mohammed, Sudarshan Mukherjee","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-10-20T12:13:37Z","title":"Energy-Spectral Efficiency Trade-off for a Massive SU-MIMO System with Transceiver Power Consumption"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.5240","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":"sha256:365f3cc9d2456969f9335ea95eb084947c51e12f5ef59215ddb3ac1fde7688c7","target":"record","created_at":"2026-05-18T02:39:46Z","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":"a92e5fb7748cf426669ee271fd1f0d4a9e23d0a99001fbea7c36e16dfe2dd92b","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-10-20T12:13:37Z","title_canon_sha256":"377f26d317eca0a404b6563c3381e5d74ca0d253cb001cd9a7747311110a9915"},"schema_version":"1.0","source":{"id":"1410.5240","kind":"arxiv","version":1}},"canonical_sha256":"3f1a53d347548713a35492d1304255c6e4d11a67a0c0311bad67340a63fb45ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f1a53d347548713a35492d1304255c6e4d11a67a0c0311bad67340a63fb45ce","first_computed_at":"2026-05-18T02:39:46.518183Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:46.518183Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EDjElIknFA/YtbTxc6PDu51OjXTycOx2xB6ue5xj+6FqsBjBO3DO1UeFRnkES1YNN3gaexXDSoQmIH0FiAqpBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:46.518735Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.5240","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:365f3cc9d2456969f9335ea95eb084947c51e12f5ef59215ddb3ac1fde7688c7","sha256:48fe5276bc65ff9658a5048ab6116ead28a6bac41385d0a343fdfbf767b7c3ae"],"state_sha256":"a4560433e3dea06be0533e181fa45bcd2f4670096d4f2c315dd67f64e31fa651"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nT5BwFDSivUSaLiXv8bs04dmiZtIQZ3i819gOw++MQ9qrWaA1/OOhDHMjcoRD43rkj7YaHGZjEjbu4Kmkp5xCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T00:53:18.724077Z","bundle_sha256":"521ada34faa11dbed607af856575685a1cfd5e8c31c259d909de32ba71f8c8c7"}}