{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:T3ESXNWRSNBFLGPXI7SZVVLZYI","short_pith_number":"pith:T3ESXNWR","canonical_record":{"source":{"id":"1407.7790","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-07-29T17:35:11Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"946ff658cd7c750ba7e6753b34d1ce3388031079ab48933878ed07e41d22027f","abstract_canon_sha256":"2e848f08752c26aa287a77c6d86d99a7bb023342b783060c712f55152e104db2"},"schema_version":"1.0"},"canonical_sha256":"9ec92bb6d193425599f747e59ad579c21fb7eea9a0b8ae17e2175f53d2d18399","source":{"kind":"arxiv","id":"1407.7790","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.7790","created_at":"2026-05-18T02:25:49Z"},{"alias_kind":"arxiv_version","alias_value":"1407.7790v1","created_at":"2026-05-18T02:25:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7790","created_at":"2026-05-18T02:25:49Z"},{"alias_kind":"pith_short_12","alias_value":"T3ESXNWRSNBF","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"T3ESXNWRSNBFLGPX","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"T3ESXNWR","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:T3ESXNWRSNBFLGPXI7SZVVLZYI","target":"record","payload":{"canonical_record":{"source":{"id":"1407.7790","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-07-29T17:35:11Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"946ff658cd7c750ba7e6753b34d1ce3388031079ab48933878ed07e41d22027f","abstract_canon_sha256":"2e848f08752c26aa287a77c6d86d99a7bb023342b783060c712f55152e104db2"},"schema_version":"1.0"},"canonical_sha256":"9ec92bb6d193425599f747e59ad579c21fb7eea9a0b8ae17e2175f53d2d18399","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:49.094678Z","signature_b64":"j69SbPdVMy+/W/2RauAqN1tJQ564GRRRJhDp00txbgH0mGbXsIOpxQIHNry9u+on3F/V/gNJ5dIiA/+feVjcCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ec92bb6d193425599f747e59ad579c21fb7eea9a0b8ae17e2175f53d2d18399","last_reissued_at":"2026-05-18T02:25:49.094175Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:49.094175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.7790","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":"2026-05-18T02:25:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qtE0L2nNE2nkgX5zqLxRcqlBPH44sr5Dqc8FtAj9Ezj5v0rY4vxvdcI4m1aj+257XLAk+RhkTWuJ7I9j+OK0BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T09:04:24.779176Z"},"content_sha256":"7d41a9e2f01ea4e0fa8b2ebd37d9bb580b9980a08ceb0cc50d7783fd9ea0dcaa","schema_version":"1.0","event_id":"sha256:7d41a9e2f01ea4e0fa8b2ebd37d9bb580b9980a08ceb0cc50d7783fd9ea0dcaa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:T3ESXNWRSNBFLGPXI7SZVVLZYI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spectral and Energy Spectral Efficiency Optimization of Joint Transmit and Receive Beamforming Based Multi-Relay MIMO-OFDMA Cellular Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Kent Tsz Kan Cheung, Lajos Hanzo, Shaoshi Yang","submitted_at":"2014-07-29T17:35:11Z","abstract_excerpt":"We first conceive a novel transmission protocol for a multi-relay multiple-input--multiple-output orthogonal frequency-division multiple-access (MIMO-OFDMA) cellular network based on joint transmit and receive beamforming. We then address the associated network-wide spectral efficiency (SE) and energy spectral efficiency (ESE) optimization problems. More specifically, the network's MIMO channels are mathematically decomposed into several effective multiple-input--single-output (MISO) channels, which are essentially spatially multiplexed for transmission. Hence, these effective MISO channels ar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7790","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":"2026-05-18T02:25:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2uyHswn4jGUdxQxroOraXNc3szLkmz801YPzYLClMO56rtsWlFXuHCH8NQMsEzWs/mPK4ciohxj+BcyalUtsAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T09:04:24.779617Z"},"content_sha256":"1da7db16bb93d9d4446db5902d3a2ae068c81d0e71b087f1582b7cb3533a1dbb","schema_version":"1.0","event_id":"sha256:1da7db16bb93d9d4446db5902d3a2ae068c81d0e71b087f1582b7cb3533a1dbb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T3ESXNWRSNBFLGPXI7SZVVLZYI/bundle.json","state_url":"https://pith.science/pith/T3ESXNWRSNBFLGPXI7SZVVLZYI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T3ESXNWRSNBFLGPXI7SZVVLZYI/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":"2026-05-24T09:04:24Z","links":{"resolver":"https://pith.science/pith/T3ESXNWRSNBFLGPXI7SZVVLZYI","bundle":"https://pith.science/pith/T3ESXNWRSNBFLGPXI7SZVVLZYI/bundle.json","state":"https://pith.science/pith/T3ESXNWRSNBFLGPXI7SZVVLZYI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T3ESXNWRSNBFLGPXI7SZVVLZYI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:T3ESXNWRSNBFLGPXI7SZVVLZYI","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":"2e848f08752c26aa287a77c6d86d99a7bb023342b783060c712f55152e104db2","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-07-29T17:35:11Z","title_canon_sha256":"946ff658cd7c750ba7e6753b34d1ce3388031079ab48933878ed07e41d22027f"},"schema_version":"1.0","source":{"id":"1407.7790","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.7790","created_at":"2026-05-18T02:25:49Z"},{"alias_kind":"arxiv_version","alias_value":"1407.7790v1","created_at":"2026-05-18T02:25:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7790","created_at":"2026-05-18T02:25:49Z"},{"alias_kind":"pith_short_12","alias_value":"T3ESXNWRSNBF","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"T3ESXNWRSNBFLGPX","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"T3ESXNWR","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:1da7db16bb93d9d4446db5902d3a2ae068c81d0e71b087f1582b7cb3533a1dbb","target":"graph","created_at":"2026-05-18T02:25:49Z","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 first conceive a novel transmission protocol for a multi-relay multiple-input--multiple-output orthogonal frequency-division multiple-access (MIMO-OFDMA) cellular network based on joint transmit and receive beamforming. We then address the associated network-wide spectral efficiency (SE) and energy spectral efficiency (ESE) optimization problems. More specifically, the network's MIMO channels are mathematically decomposed into several effective multiple-input--single-output (MISO) channels, which are essentially spatially multiplexed for transmission. Hence, these effective MISO channels ar","authors_text":"Kent Tsz Kan Cheung, Lajos Hanzo, Shaoshi Yang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-07-29T17:35:11Z","title":"Spectral and Energy Spectral Efficiency Optimization of Joint Transmit and Receive Beamforming Based Multi-Relay MIMO-OFDMA Cellular Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7790","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":"sha256:7d41a9e2f01ea4e0fa8b2ebd37d9bb580b9980a08ceb0cc50d7783fd9ea0dcaa","target":"record","created_at":"2026-05-18T02:25:49Z","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":"2e848f08752c26aa287a77c6d86d99a7bb023342b783060c712f55152e104db2","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-07-29T17:35:11Z","title_canon_sha256":"946ff658cd7c750ba7e6753b34d1ce3388031079ab48933878ed07e41d22027f"},"schema_version":"1.0","source":{"id":"1407.7790","kind":"arxiv","version":1}},"canonical_sha256":"9ec92bb6d193425599f747e59ad579c21fb7eea9a0b8ae17e2175f53d2d18399","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ec92bb6d193425599f747e59ad579c21fb7eea9a0b8ae17e2175f53d2d18399","first_computed_at":"2026-05-18T02:25:49.094175Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:49.094175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j69SbPdVMy+/W/2RauAqN1tJQ564GRRRJhDp00txbgH0mGbXsIOpxQIHNry9u+on3F/V/gNJ5dIiA/+feVjcCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:49.094678Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.7790","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d41a9e2f01ea4e0fa8b2ebd37d9bb580b9980a08ceb0cc50d7783fd9ea0dcaa","sha256:1da7db16bb93d9d4446db5902d3a2ae068c81d0e71b087f1582b7cb3533a1dbb"],"state_sha256":"ab0128d779e2b66837652db81ff58938ddf57d4973037e005ebba27bd3a8c00a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PFSdO+jjt/b/26Tsc8V2mTf4QKEzziL6tH95IPPLqin4j99K9E5NVxIxI4oUqomvxT4Qx/d0Tp8wRaJtf9k9CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T09:04:24.782138Z","bundle_sha256":"d9b2449baaebd6e39d8f035a5374e3d738d3d570483dfd2c9415c1a6298ba411"}}