{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:IAZAYUVBOM256YF4ZKWEOMITBP","short_pith_number":"pith:IAZAYUVB","canonical_record":{"source":{"id":"1610.04974","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-10-17T05:13:37Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"09ee4831f733aacc4d643fe6f34168683079c5267dbb572ac0ba44fa7afd48f8","abstract_canon_sha256":"96284ed156c275c9b789c31e6c5469f657a601f74b307958b4bd98f12bd789b2"},"schema_version":"1.0"},"canonical_sha256":"40320c52a17335df60bccaac4731130bf37c3b594388d787d8575b1db009abfa","source":{"kind":"arxiv","id":"1610.04974","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.04974","created_at":"2026-05-18T01:02:06Z"},{"alias_kind":"arxiv_version","alias_value":"1610.04974v1","created_at":"2026-05-18T01:02:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.04974","created_at":"2026-05-18T01:02:06Z"},{"alias_kind":"pith_short_12","alias_value":"IAZAYUVBOM25","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IAZAYUVBOM256YF4","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IAZAYUVB","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:IAZAYUVBOM256YF4ZKWEOMITBP","target":"record","payload":{"canonical_record":{"source":{"id":"1610.04974","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-10-17T05:13:37Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"09ee4831f733aacc4d643fe6f34168683079c5267dbb572ac0ba44fa7afd48f8","abstract_canon_sha256":"96284ed156c275c9b789c31e6c5469f657a601f74b307958b4bd98f12bd789b2"},"schema_version":"1.0"},"canonical_sha256":"40320c52a17335df60bccaac4731130bf37c3b594388d787d8575b1db009abfa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:02:06.537808Z","signature_b64":"4tOu5UYcJVY8gWzK+8QQ9Wc630YJYOqp/aYlK/snlgY2To3xL9KD2sCYJZDOMEnNomo28MpRpNr/M4XLF7X3DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40320c52a17335df60bccaac4731130bf37c3b594388d787d8575b1db009abfa","last_reissued_at":"2026-05-18T01:02:06.537335Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:02:06.537335Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.04974","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":"2026-05-18T01:02:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jcGEClwKC3BodGqnz7VW043PuIIyaKlcPVpWnB7bXfaz2TWTvHwY4epncbqMJeLj4qdGkHxE+Kh67OyZRc10Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T22:51:02.171270Z"},"content_sha256":"5250b8e2145f9f55d9f7ccf3630149f17a69ad4dc3d10c0fc274db7baa49b5a8","schema_version":"1.0","event_id":"sha256:5250b8e2145f9f55d9f7ccf3630149f17a69ad4dc3d10c0fc274db7baa49b5a8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:IAZAYUVBOM256YF4ZKWEOMITBP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Joint Relay-User Beamforming Design in Full-Duplex Two-Way Relay Channel","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Junwei Zou, Shuai Wang, Xiaoqing Liu, Zhigang Wen","submitted_at":"2016-10-17T05:13:37Z","abstract_excerpt":"A full-duplex two-way relay channel with multiple antennas is considered. For this three-node network, the beamforming design needs to suppress self-interference. While a traditional way is to apply zero-forcing for self-interference mitigation, it may harm the desired signals. In this paper, a design which reserves a fraction of self-interference is proposed by solving a quality-of-service constrained beamforming design problem. Since the problem is challenging due to the loop self-interference, a convergence-guaranteed alternating optimization algorithm is proposed to jointly design the rela"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.04974","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":"2026-05-18T01:02:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dum7XJiXSxmUfy8B37Qx8QjcfzR4MEDEVPBFqO7qDrR9Ggit5dESTkclZ2vdT7orTAG3Kj7JuSSYIKt4pZOcCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T22:51:02.171937Z"},"content_sha256":"f95152334bbc8ffa583a1668974573526d171d7df3904b0357b3f0bfc289a07a","schema_version":"1.0","event_id":"sha256:f95152334bbc8ffa583a1668974573526d171d7df3904b0357b3f0bfc289a07a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IAZAYUVBOM256YF4ZKWEOMITBP/bundle.json","state_url":"https://pith.science/pith/IAZAYUVBOM256YF4ZKWEOMITBP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IAZAYUVBOM256YF4ZKWEOMITBP/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":"2026-06-07T22:51:02Z","links":{"resolver":"https://pith.science/pith/IAZAYUVBOM256YF4ZKWEOMITBP","bundle":"https://pith.science/pith/IAZAYUVBOM256YF4ZKWEOMITBP/bundle.json","state":"https://pith.science/pith/IAZAYUVBOM256YF4ZKWEOMITBP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IAZAYUVBOM256YF4ZKWEOMITBP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:IAZAYUVBOM256YF4ZKWEOMITBP","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":"96284ed156c275c9b789c31e6c5469f657a601f74b307958b4bd98f12bd789b2","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-10-17T05:13:37Z","title_canon_sha256":"09ee4831f733aacc4d643fe6f34168683079c5267dbb572ac0ba44fa7afd48f8"},"schema_version":"1.0","source":{"id":"1610.04974","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.04974","created_at":"2026-05-18T01:02:06Z"},{"alias_kind":"arxiv_version","alias_value":"1610.04974v1","created_at":"2026-05-18T01:02:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.04974","created_at":"2026-05-18T01:02:06Z"},{"alias_kind":"pith_short_12","alias_value":"IAZAYUVBOM25","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IAZAYUVBOM256YF4","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IAZAYUVB","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:f95152334bbc8ffa583a1668974573526d171d7df3904b0357b3f0bfc289a07a","target":"graph","created_at":"2026-05-18T01:02:06Z","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":"A full-duplex two-way relay channel with multiple antennas is considered. For this three-node network, the beamforming design needs to suppress self-interference. While a traditional way is to apply zero-forcing for self-interference mitigation, it may harm the desired signals. In this paper, a design which reserves a fraction of self-interference is proposed by solving a quality-of-service constrained beamforming design problem. Since the problem is challenging due to the loop self-interference, a convergence-guaranteed alternating optimization algorithm is proposed to jointly design the rela","authors_text":"Junwei Zou, Shuai Wang, Xiaoqing Liu, Zhigang Wen","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-10-17T05:13:37Z","title":"Joint Relay-User Beamforming Design in Full-Duplex Two-Way Relay Channel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.04974","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":"sha256:5250b8e2145f9f55d9f7ccf3630149f17a69ad4dc3d10c0fc274db7baa49b5a8","target":"record","created_at":"2026-05-18T01:02:06Z","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":"96284ed156c275c9b789c31e6c5469f657a601f74b307958b4bd98f12bd789b2","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-10-17T05:13:37Z","title_canon_sha256":"09ee4831f733aacc4d643fe6f34168683079c5267dbb572ac0ba44fa7afd48f8"},"schema_version":"1.0","source":{"id":"1610.04974","kind":"arxiv","version":1}},"canonical_sha256":"40320c52a17335df60bccaac4731130bf37c3b594388d787d8575b1db009abfa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40320c52a17335df60bccaac4731130bf37c3b594388d787d8575b1db009abfa","first_computed_at":"2026-05-18T01:02:06.537335Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:06.537335Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4tOu5UYcJVY8gWzK+8QQ9Wc630YJYOqp/aYlK/snlgY2To3xL9KD2sCYJZDOMEnNomo28MpRpNr/M4XLF7X3DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:06.537808Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.04974","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5250b8e2145f9f55d9f7ccf3630149f17a69ad4dc3d10c0fc274db7baa49b5a8","sha256:f95152334bbc8ffa583a1668974573526d171d7df3904b0357b3f0bfc289a07a"],"state_sha256":"14a94d2dd9b442a80781bc56e8db44419d63a2258933ad260b4e9563cbbc7424"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pOENE7Wagx6+1qAZ+n4+GO2XUlqwVej5C2ovLWXeksdTiYGc6OngVCVvu+3mUD5u28g35ojTAQHvO36YGIKxAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T22:51:02.175459Z","bundle_sha256":"84a01e1fb9b4e709d84be0ee88b3b2f23ecf615eaaf14241adb7ca75a1f3d92a"}}