{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:LRMENJCUOOS7F3IYZNPE6W57JV","short_pith_number":"pith:LRMENJCU","canonical_record":{"source":{"id":"1606.08651","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-06-28T11:13:14Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"ea8c4a5f79dc10f02227a042b2000b7369ef305e954f877d1c67c56103e0c4ad","abstract_canon_sha256":"78304e523bdf03fb35e84935b3fe3ae5632de9d278282d206621d0cdfb7d2e7c"},"schema_version":"1.0"},"canonical_sha256":"5c5846a45473a5f2ed18cb5e4f5bbf4d60b854c4c8474854f1cab3fe7f938be6","source":{"kind":"arxiv","id":"1606.08651","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.08651","created_at":"2026-05-18T00:48:09Z"},{"alias_kind":"arxiv_version","alias_value":"1606.08651v2","created_at":"2026-05-18T00:48:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.08651","created_at":"2026-05-18T00:48:09Z"},{"alias_kind":"pith_short_12","alias_value":"LRMENJCUOOS7","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LRMENJCUOOS7F3IY","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LRMENJCU","created_at":"2026-05-18T12:30:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:LRMENJCUOOS7F3IYZNPE6W57JV","target":"record","payload":{"canonical_record":{"source":{"id":"1606.08651","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-06-28T11:13:14Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"ea8c4a5f79dc10f02227a042b2000b7369ef305e954f877d1c67c56103e0c4ad","abstract_canon_sha256":"78304e523bdf03fb35e84935b3fe3ae5632de9d278282d206621d0cdfb7d2e7c"},"schema_version":"1.0"},"canonical_sha256":"5c5846a45473a5f2ed18cb5e4f5bbf4d60b854c4c8474854f1cab3fe7f938be6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:09.776606Z","signature_b64":"JlIh2fdA0gkWAWLwdQzWZZ/oVMbX/SZ93cosvGa1iR40061CyaidXKDKE7vEdOASx+67a+y3XXB0riITrL3QCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c5846a45473a5f2ed18cb5e4f5bbf4d60b854c4c8474854f1cab3fe7f938be6","last_reissued_at":"2026-05-18T00:48:09.775694Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:09.775694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.08651","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":"2026-05-18T00:48:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nxlbzTa6O8NedniBt5SnnSOq95MIyFLS/wugC/lhciuvKAiDQP4ZTXfzIl+DtQbsG7CfXCZPzbfp1Peo0xSNAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T00:16:45.727334Z"},"content_sha256":"2cb73a5798b2d66b23c2944c498cee86378f085b102918ef7bcb11d4898a5423","schema_version":"1.0","event_id":"sha256:2cb73a5798b2d66b23c2944c498cee86378f085b102918ef7bcb11d4898a5423"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:LRMENJCUOOS7F3IYZNPE6W57JV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-way relay beamforming optimization for full-duplex SWIPT systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Alexander A. Okandeji, Kai-Kit Wong, Muhammad R. A. Khandaker","submitted_at":"2016-06-28T11:13:14Z","abstract_excerpt":"In this paper, we investigate the problem of two-way relay beamforming optimization to maximize the achievable sum-rate of a simultaneous wireless information and power transfer (SWIPT) system with a full-duplex (FD) multiple-input multiple-output (MIMO) amplify-and-forward (AF) relay. In particular, we address the optimal joint design of the receiver power splitting (PS) ratio and the beamforming matrix at the relay node given the channel state information (CSI). Our contribution is an iterative algorithm based on difference of convex (DC) programming and one-dimensional searching to achieve "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.08651","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":"2026-05-18T00:48:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/glr7yyjWQTAAlSnsm68eZraOy23ChNaPN8KJl6uW7DWB1lYYOBQ1BYlkhLEYGMKQakZjGeUj/udnD2CmQWxBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T00:16:45.728022Z"},"content_sha256":"467c058e785ee30c8578c14078ad7ffbe4167606e6885d22153774449749778f","schema_version":"1.0","event_id":"sha256:467c058e785ee30c8578c14078ad7ffbe4167606e6885d22153774449749778f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LRMENJCUOOS7F3IYZNPE6W57JV/bundle.json","state_url":"https://pith.science/pith/LRMENJCUOOS7F3IYZNPE6W57JV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LRMENJCUOOS7F3IYZNPE6W57JV/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":"2026-06-05T00:16:45Z","links":{"resolver":"https://pith.science/pith/LRMENJCUOOS7F3IYZNPE6W57JV","bundle":"https://pith.science/pith/LRMENJCUOOS7F3IYZNPE6W57JV/bundle.json","state":"https://pith.science/pith/LRMENJCUOOS7F3IYZNPE6W57JV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LRMENJCUOOS7F3IYZNPE6W57JV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LRMENJCUOOS7F3IYZNPE6W57JV","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":"78304e523bdf03fb35e84935b3fe3ae5632de9d278282d206621d0cdfb7d2e7c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-06-28T11:13:14Z","title_canon_sha256":"ea8c4a5f79dc10f02227a042b2000b7369ef305e954f877d1c67c56103e0c4ad"},"schema_version":"1.0","source":{"id":"1606.08651","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.08651","created_at":"2026-05-18T00:48:09Z"},{"alias_kind":"arxiv_version","alias_value":"1606.08651v2","created_at":"2026-05-18T00:48:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.08651","created_at":"2026-05-18T00:48:09Z"},{"alias_kind":"pith_short_12","alias_value":"LRMENJCUOOS7","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LRMENJCUOOS7F3IY","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LRMENJCU","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:467c058e785ee30c8578c14078ad7ffbe4167606e6885d22153774449749778f","target":"graph","created_at":"2026-05-18T00:48:09Z","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 paper, we investigate the problem of two-way relay beamforming optimization to maximize the achievable sum-rate of a simultaneous wireless information and power transfer (SWIPT) system with a full-duplex (FD) multiple-input multiple-output (MIMO) amplify-and-forward (AF) relay. In particular, we address the optimal joint design of the receiver power splitting (PS) ratio and the beamforming matrix at the relay node given the channel state information (CSI). Our contribution is an iterative algorithm based on difference of convex (DC) programming and one-dimensional searching to achieve ","authors_text":"Alexander A. Okandeji, Kai-Kit Wong, Muhammad R. A. Khandaker","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-06-28T11:13:14Z","title":"Two-way relay beamforming optimization for full-duplex SWIPT systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.08651","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":"sha256:2cb73a5798b2d66b23c2944c498cee86378f085b102918ef7bcb11d4898a5423","target":"record","created_at":"2026-05-18T00:48:09Z","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":"78304e523bdf03fb35e84935b3fe3ae5632de9d278282d206621d0cdfb7d2e7c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-06-28T11:13:14Z","title_canon_sha256":"ea8c4a5f79dc10f02227a042b2000b7369ef305e954f877d1c67c56103e0c4ad"},"schema_version":"1.0","source":{"id":"1606.08651","kind":"arxiv","version":2}},"canonical_sha256":"5c5846a45473a5f2ed18cb5e4f5bbf4d60b854c4c8474854f1cab3fe7f938be6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c5846a45473a5f2ed18cb5e4f5bbf4d60b854c4c8474854f1cab3fe7f938be6","first_computed_at":"2026-05-18T00:48:09.775694Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:09.775694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JlIh2fdA0gkWAWLwdQzWZZ/oVMbX/SZ93cosvGa1iR40061CyaidXKDKE7vEdOASx+67a+y3XXB0riITrL3QCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:09.776606Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.08651","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2cb73a5798b2d66b23c2944c498cee86378f085b102918ef7bcb11d4898a5423","sha256:467c058e785ee30c8578c14078ad7ffbe4167606e6885d22153774449749778f"],"state_sha256":"ac0ad62bae02e0ca20a2792ad3c4f3798408595e44e6c630bd0d2b2b64c301b5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iBKIv/+OAtd166mD6ZzqYHX6STnztbd6YO04sybQXvu5FSfyir1+hl82pmibCwHju8KvrFW95a29v8jLctLyAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T00:16:45.731775Z","bundle_sha256":"ec9d1f2e8d83c87bf7e8b2594bb2fbb0cd2926a7086106eb609942f6ddb34df6"}}