{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:VSNY25XEZHNKMBABJV4EMHMXX3","short_pith_number":"pith:VSNY25XE","canonical_record":{"source":{"id":"1304.6157","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-04-23T03:09:49Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"913d1c0c69f3f0de451ed0ec5ba98a73eb13c2eb9aece1e290a10f62821ab842","abstract_canon_sha256":"a0d06c9685875d86250981a8e3245da11d98557202c3a0a5db90294bbcd11c7a"},"schema_version":"1.0"},"canonical_sha256":"ac9b8d76e4c9daa604014d78461d97bedd743e919df997c870aa695419725b48","source":{"kind":"arxiv","id":"1304.6157","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.6157","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"arxiv_version","alias_value":"1304.6157v1","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.6157","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"pith_short_12","alias_value":"VSNY25XEZHNK","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VSNY25XEZHNKMBAB","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VSNY25XE","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:VSNY25XEZHNKMBABJV4EMHMXX3","target":"record","payload":{"canonical_record":{"source":{"id":"1304.6157","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-04-23T03:09:49Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"913d1c0c69f3f0de451ed0ec5ba98a73eb13c2eb9aece1e290a10f62821ab842","abstract_canon_sha256":"a0d06c9685875d86250981a8e3245da11d98557202c3a0a5db90294bbcd11c7a"},"schema_version":"1.0"},"canonical_sha256":"ac9b8d76e4c9daa604014d78461d97bedd743e919df997c870aa695419725b48","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:56.434675Z","signature_b64":"AXfCfI07YbiNBQxxT5ZZdqOpKdOCPLvvczSZY1GL9QafhSUDWdNxD/OlNHUM7nUHbs7NO1i/SpglqGckizAKCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac9b8d76e4c9daa604014d78461d97bedd743e919df997c870aa695419725b48","last_reissued_at":"2026-05-18T00:57:56.434280Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:56.434280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.6157","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":"2026-05-18T00:57:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hmQKvjGFWzm1VU1mzplsTPiX2/OjzAnJiBMJQKjCqEYhgx7cwI24qsGohKMHVDUgy4UKEca5I5+mvkiizLqvCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T19:16:51.984398Z"},"content_sha256":"2dfe1dde7427fb92f2892a78b65732dd84b5363d5d52046b2d27938a617af2e0","schema_version":"1.0","event_id":"sha256:2dfe1dde7427fb92f2892a78b65732dd84b5363d5d52046b2d27938a617af2e0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:VSNY25XEZHNKMBABJV4EMHMXX3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Linear Precoding for Broadcast Channels with Confidential Messages under Transmit-Side Channel Correlation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Azzam Y. Al-nahari, Giovanni Geraci, Iain B. Collings, Jinhong Yuan","submitted_at":"2013-04-23T03:09:49Z","abstract_excerpt":"In this paper, we analyze the performance of regularized channel inversion (RCI) precoding in multiple-input single-output (MISO) broadcast channels with confidential messages under transmit-side channel correlation. We derive a deterministic equivalent for the achievable per-user secrecy rate which is almost surely exact as the number of transmit antennas and the number of users grow to infinity in a fixed ratio, and we determine the optimal regularization parameter that maximizes the secrecy rate. Furthermore, we obtain deterministic equivalents for the secrecy rates achievable by: (i) zero "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.6157","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":"2026-05-18T00:57:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LZKXD+eBmBmjFr79P9oOsbB3WR6J5JMiLd2X2mQR+bTaYT+DCNO3zQGmgnul/ilBmXaTf7yPUYAQIJtY7fSRCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T19:16:51.985122Z"},"content_sha256":"f89a47dcf22f7a792b87f0849075c41816875c9e7a4b9b91e423430ec70137ad","schema_version":"1.0","event_id":"sha256:f89a47dcf22f7a792b87f0849075c41816875c9e7a4b9b91e423430ec70137ad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VSNY25XEZHNKMBABJV4EMHMXX3/bundle.json","state_url":"https://pith.science/pith/VSNY25XEZHNKMBABJV4EMHMXX3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VSNY25XEZHNKMBABJV4EMHMXX3/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":"2026-05-31T19:16:51Z","links":{"resolver":"https://pith.science/pith/VSNY25XEZHNKMBABJV4EMHMXX3","bundle":"https://pith.science/pith/VSNY25XEZHNKMBABJV4EMHMXX3/bundle.json","state":"https://pith.science/pith/VSNY25XEZHNKMBABJV4EMHMXX3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VSNY25XEZHNKMBABJV4EMHMXX3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:VSNY25XEZHNKMBABJV4EMHMXX3","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":"a0d06c9685875d86250981a8e3245da11d98557202c3a0a5db90294bbcd11c7a","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-04-23T03:09:49Z","title_canon_sha256":"913d1c0c69f3f0de451ed0ec5ba98a73eb13c2eb9aece1e290a10f62821ab842"},"schema_version":"1.0","source":{"id":"1304.6157","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.6157","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"arxiv_version","alias_value":"1304.6157v1","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.6157","created_at":"2026-05-18T00:57:56Z"},{"alias_kind":"pith_short_12","alias_value":"VSNY25XEZHNK","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VSNY25XEZHNKMBAB","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VSNY25XE","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:f89a47dcf22f7a792b87f0849075c41816875c9e7a4b9b91e423430ec70137ad","target":"graph","created_at":"2026-05-18T00:57:56Z","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 analyze the performance of regularized channel inversion (RCI) precoding in multiple-input single-output (MISO) broadcast channels with confidential messages under transmit-side channel correlation. We derive a deterministic equivalent for the achievable per-user secrecy rate which is almost surely exact as the number of transmit antennas and the number of users grow to infinity in a fixed ratio, and we determine the optimal regularization parameter that maximizes the secrecy rate. Furthermore, we obtain deterministic equivalents for the secrecy rates achievable by: (i) zero ","authors_text":"Azzam Y. Al-nahari, Giovanni Geraci, Iain B. Collings, Jinhong Yuan","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-04-23T03:09:49Z","title":"Linear Precoding for Broadcast Channels with Confidential Messages under Transmit-Side Channel Correlation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.6157","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":"sha256:2dfe1dde7427fb92f2892a78b65732dd84b5363d5d52046b2d27938a617af2e0","target":"record","created_at":"2026-05-18T00:57:56Z","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":"a0d06c9685875d86250981a8e3245da11d98557202c3a0a5db90294bbcd11c7a","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-04-23T03:09:49Z","title_canon_sha256":"913d1c0c69f3f0de451ed0ec5ba98a73eb13c2eb9aece1e290a10f62821ab842"},"schema_version":"1.0","source":{"id":"1304.6157","kind":"arxiv","version":1}},"canonical_sha256":"ac9b8d76e4c9daa604014d78461d97bedd743e919df997c870aa695419725b48","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac9b8d76e4c9daa604014d78461d97bedd743e919df997c870aa695419725b48","first_computed_at":"2026-05-18T00:57:56.434280Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:56.434280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AXfCfI07YbiNBQxxT5ZZdqOpKdOCPLvvczSZY1GL9QafhSUDWdNxD/OlNHUM7nUHbs7NO1i/SpglqGckizAKCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:56.434675Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.6157","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2dfe1dde7427fb92f2892a78b65732dd84b5363d5d52046b2d27938a617af2e0","sha256:f89a47dcf22f7a792b87f0849075c41816875c9e7a4b9b91e423430ec70137ad"],"state_sha256":"ec658d323995d12e150961a49dcf8e54b49d4283903dd5dcbfa16dae426cb075"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+XWuOq1maW/xq/yaTIjq54hHcwWd5i6hQrHQhTw6L6YTvqN1F/XjdcH0Zv0Uip4/XhKsYO6LBAEZ/nq4wCMDCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T19:16:51.988859Z","bundle_sha256":"aa185bbd53bbda0a22c8f09472d814758cea16ca263640a398ba17a8f2520197"}}