{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:577XR53SCU53REN3UGIKKMDSD7","short_pith_number":"pith:577XR53S","canonical_record":{"source":{"id":"1312.3695","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-12-13T03:28:42Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"9e0297bf9d8ce3e7ea7c61ee00bc43073972e4c1bc26e712778abdff04b86b68","abstract_canon_sha256":"447db128ed785447ccad040b62ecf6cc73fdd16ccd6dc15b4bac8ee5d99ef509"},"schema_version":"1.0"},"canonical_sha256":"efff78f772153bb891bba190a530721fe9f27f300f64768b64c0e098ceaaa4ab","source":{"kind":"arxiv","id":"1312.3695","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.3695","created_at":"2026-05-18T01:45:50Z"},{"alias_kind":"arxiv_version","alias_value":"1312.3695v1","created_at":"2026-05-18T01:45:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.3695","created_at":"2026-05-18T01:45:50Z"},{"alias_kind":"pith_short_12","alias_value":"577XR53SCU53","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"577XR53SCU53REN3","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"577XR53S","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:577XR53SCU53REN3UGIKKMDSD7","target":"record","payload":{"canonical_record":{"source":{"id":"1312.3695","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-12-13T03:28:42Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"9e0297bf9d8ce3e7ea7c61ee00bc43073972e4c1bc26e712778abdff04b86b68","abstract_canon_sha256":"447db128ed785447ccad040b62ecf6cc73fdd16ccd6dc15b4bac8ee5d99ef509"},"schema_version":"1.0"},"canonical_sha256":"efff78f772153bb891bba190a530721fe9f27f300f64768b64c0e098ceaaa4ab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:45:50.980169Z","signature_b64":"lhNyyrUVHr/Eo6kkbpUyQ1isY7HQpWLSfnjKYCg4/wXsW31YTT+yY10lxfVEG6X0tNGEVL1dgaQQrM1qQvDwBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"efff78f772153bb891bba190a530721fe9f27f300f64768b64c0e098ceaaa4ab","last_reissued_at":"2026-05-18T01:45:50.979766Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:45:50.979766Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.3695","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":"2026-05-18T01:45:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xJRMI8WjSK/xenrGxFUX45gexy9keDczfvdjrAcvZNP8eSefR/01SKrBE9PI+qih1MJoUlqG5DeI53LF4J91AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T02:11:30.452879Z"},"content_sha256":"49b7d5fbfa4937043fdbd067b4184ab6e2fc7e075809ae8d4f0c8650e9360769","schema_version":"1.0","event_id":"sha256:49b7d5fbfa4937043fdbd067b4184ab6e2fc7e075809ae8d4f0c8650e9360769"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:577XR53SCU53REN3UGIKKMDSD7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Secure Beamforming for MIMO Two-Way Communications with an Untrusted Relay","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Jianhua Mo, Meixia Tao, Rui Wang, Yuan Liu","submitted_at":"2013-12-13T03:28:42Z","abstract_excerpt":"This paper studies the secure beamforming design in a multiple-antenna three-node system where two source nodes exchange messages with the help of an untrusted relay node. The relay acts as both an essential signal forwarder and a potential eavesdropper. Both two-phase and three-phase two-way relay strategies are considered. Our goal is to jointly optimize the source and relay beamformers for maximizing the secrecy sum rate of the two-way communications. We first derive the optimal relay beamformer structures. Then, iterative algorithms are proposed to find source and relay beamformers jointly"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.3695","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":"2026-05-18T01:45:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kpXd6pLEv3VKqe6OCuPgVcQlW6yYA1qrl8X+7W2z7eLVnrpTSW7wxm9a7aMZvcjG5/fLuMxRdWE9uP22yB5FDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T02:11:30.453651Z"},"content_sha256":"7ec9547aa4b6aba3b7fb51ee837feb10f7197f1357b029c1683731b9c61d8aa0","schema_version":"1.0","event_id":"sha256:7ec9547aa4b6aba3b7fb51ee837feb10f7197f1357b029c1683731b9c61d8aa0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/577XR53SCU53REN3UGIKKMDSD7/bundle.json","state_url":"https://pith.science/pith/577XR53SCU53REN3UGIKKMDSD7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/577XR53SCU53REN3UGIKKMDSD7/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":"2026-06-10T02:11:30Z","links":{"resolver":"https://pith.science/pith/577XR53SCU53REN3UGIKKMDSD7","bundle":"https://pith.science/pith/577XR53SCU53REN3UGIKKMDSD7/bundle.json","state":"https://pith.science/pith/577XR53SCU53REN3UGIKKMDSD7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/577XR53SCU53REN3UGIKKMDSD7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:577XR53SCU53REN3UGIKKMDSD7","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":"447db128ed785447ccad040b62ecf6cc73fdd16ccd6dc15b4bac8ee5d99ef509","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-12-13T03:28:42Z","title_canon_sha256":"9e0297bf9d8ce3e7ea7c61ee00bc43073972e4c1bc26e712778abdff04b86b68"},"schema_version":"1.0","source":{"id":"1312.3695","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.3695","created_at":"2026-05-18T01:45:50Z"},{"alias_kind":"arxiv_version","alias_value":"1312.3695v1","created_at":"2026-05-18T01:45:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.3695","created_at":"2026-05-18T01:45:50Z"},{"alias_kind":"pith_short_12","alias_value":"577XR53SCU53","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"577XR53SCU53REN3","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"577XR53S","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:7ec9547aa4b6aba3b7fb51ee837feb10f7197f1357b029c1683731b9c61d8aa0","target":"graph","created_at":"2026-05-18T01:45:50Z","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":"This paper studies the secure beamforming design in a multiple-antenna three-node system where two source nodes exchange messages with the help of an untrusted relay node. The relay acts as both an essential signal forwarder and a potential eavesdropper. Both two-phase and three-phase two-way relay strategies are considered. Our goal is to jointly optimize the source and relay beamformers for maximizing the secrecy sum rate of the two-way communications. We first derive the optimal relay beamformer structures. Then, iterative algorithms are proposed to find source and relay beamformers jointly","authors_text":"Jianhua Mo, Meixia Tao, Rui Wang, Yuan Liu","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-12-13T03:28:42Z","title":"Secure Beamforming for MIMO Two-Way Communications with an Untrusted Relay"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.3695","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":"sha256:49b7d5fbfa4937043fdbd067b4184ab6e2fc7e075809ae8d4f0c8650e9360769","target":"record","created_at":"2026-05-18T01:45:50Z","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":"447db128ed785447ccad040b62ecf6cc73fdd16ccd6dc15b4bac8ee5d99ef509","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-12-13T03:28:42Z","title_canon_sha256":"9e0297bf9d8ce3e7ea7c61ee00bc43073972e4c1bc26e712778abdff04b86b68"},"schema_version":"1.0","source":{"id":"1312.3695","kind":"arxiv","version":1}},"canonical_sha256":"efff78f772153bb891bba190a530721fe9f27f300f64768b64c0e098ceaaa4ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"efff78f772153bb891bba190a530721fe9f27f300f64768b64c0e098ceaaa4ab","first_computed_at":"2026-05-18T01:45:50.979766Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:45:50.979766Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lhNyyrUVHr/Eo6kkbpUyQ1isY7HQpWLSfnjKYCg4/wXsW31YTT+yY10lxfVEG6X0tNGEVL1dgaQQrM1qQvDwBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:45:50.980169Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.3695","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:49b7d5fbfa4937043fdbd067b4184ab6e2fc7e075809ae8d4f0c8650e9360769","sha256:7ec9547aa4b6aba3b7fb51ee837feb10f7197f1357b029c1683731b9c61d8aa0"],"state_sha256":"a1e66d2a6ff5a7e1311607fd1b9ae30a507a8543b01ede4433047585b72ec48a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AkndzJ2YQpjny3njNoNIm4HtbMyHXmIEYUo10j3J7MonErQaC75qpeSw5I/anpTvMzXerEjneTPPFq6o8kQBBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T02:11:30.457988Z","bundle_sha256":"b15b79f6fed7b4dfee03c51e62c8a0788787776ca57941048eced41413531d23"}}