{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:RIPLZG72ZZO4LGBCEOLFN7Y56J","short_pith_number":"pith:RIPLZG72","canonical_record":{"source":{"id":"1309.2143","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-09-09T12:59:02Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"ee4f09aa54e21b60042756ab9248ee050c93d5613f80aba8ffb6a7554b0a6dd4","abstract_canon_sha256":"d6461bf64834763cebdf0367437af260476f2eb6ff424ff32abb946ca07e706e"},"schema_version":"1.0"},"canonical_sha256":"8a1ebc9bface5dc59822239656ff1df27e78a8568338a4663e37f2bdec6d0304","source":{"kind":"arxiv","id":"1309.2143","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.2143","created_at":"2026-05-18T00:58:42Z"},{"alias_kind":"arxiv_version","alias_value":"1309.2143v3","created_at":"2026-05-18T00:58:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.2143","created_at":"2026-05-18T00:58:42Z"},{"alias_kind":"pith_short_12","alias_value":"RIPLZG72ZZO4","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"RIPLZG72ZZO4LGBC","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"RIPLZG72","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:RIPLZG72ZZO4LGBCEOLFN7Y56J","target":"record","payload":{"canonical_record":{"source":{"id":"1309.2143","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-09-09T12:59:02Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"ee4f09aa54e21b60042756ab9248ee050c93d5613f80aba8ffb6a7554b0a6dd4","abstract_canon_sha256":"d6461bf64834763cebdf0367437af260476f2eb6ff424ff32abb946ca07e706e"},"schema_version":"1.0"},"canonical_sha256":"8a1ebc9bface5dc59822239656ff1df27e78a8568338a4663e37f2bdec6d0304","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:42.024937Z","signature_b64":"QMrY3EtDXToEi8WizEQv7MKiBjz0rRs6Qcwi4AJxsMSqcEZlLBpuPFv5JyAXU8Y7Y+jHT3ksifUm346ZTlL6AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a1ebc9bface5dc59822239656ff1df27e78a8568338a4663e37f2bdec6d0304","last_reissued_at":"2026-05-18T00:58:42.024205Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:42.024205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.2143","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:58:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P5tgBdRUdzXXILFCqxse/05/Gg766OUxf4ToHNjLUvK0EqP6Bp4PdvidHo9yAiBOcptievoD40wv3b7r4ab2Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:10:06.439699Z"},"content_sha256":"3342a760ee3a950e3af3d284ecc9e0519346f2a11213143d7d555067477f6302","schema_version":"1.0","event_id":"sha256:3342a760ee3a950e3af3d284ecc9e0519346f2a11213143d7d555067477f6302"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:RIPLZG72ZZO4LGBCEOLFN7Y56J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Secure Layered Transmission in Multicast Systems with Wireless Information and Power Transfer","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Derrick Wing Kwan Ng, Hussein Alnuweiri, Robert Schober","submitted_at":"2013-09-09T12:59:02Z","abstract_excerpt":"This paper considers downlink multicast transmit beamforming for secure layered transmission systems with wireless simultaneous information and power transfer. We study the power allocation algorithm design for minimizing the total transmit power in the presence of passive eavesdroppers and energy harvesting receivers. The algorithm design is formulated as a non-convex optimization problem. Our problem formulation promotes the dual use of energy signals in providing secure communication and facilitating efficient energy transfer. Besides, we take into account a minimum required power for energ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.2143","kind":"arxiv","version":3},"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":"2026-05-18T00:58:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ID4eWLooTKwXjc9VQU5cjhDNKRWK3Rh0TrHd9bd8Yv9Jsa2YVddgAfFnud+kyjfGnkkfMn+UXlpc+AGt/fgrBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:10:06.440293Z"},"content_sha256":"e205d4a63c68858e8e5f2aaef094928a28713a3e44f859dca0463b58d03067e7","schema_version":"1.0","event_id":"sha256:e205d4a63c68858e8e5f2aaef094928a28713a3e44f859dca0463b58d03067e7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RIPLZG72ZZO4LGBCEOLFN7Y56J/bundle.json","state_url":"https://pith.science/pith/RIPLZG72ZZO4LGBCEOLFN7Y56J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RIPLZG72ZZO4LGBCEOLFN7Y56J/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":"2026-05-28T19:10:06Z","links":{"resolver":"https://pith.science/pith/RIPLZG72ZZO4LGBCEOLFN7Y56J","bundle":"https://pith.science/pith/RIPLZG72ZZO4LGBCEOLFN7Y56J/bundle.json","state":"https://pith.science/pith/RIPLZG72ZZO4LGBCEOLFN7Y56J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RIPLZG72ZZO4LGBCEOLFN7Y56J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:RIPLZG72ZZO4LGBCEOLFN7Y56J","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":"d6461bf64834763cebdf0367437af260476f2eb6ff424ff32abb946ca07e706e","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-09-09T12:59:02Z","title_canon_sha256":"ee4f09aa54e21b60042756ab9248ee050c93d5613f80aba8ffb6a7554b0a6dd4"},"schema_version":"1.0","source":{"id":"1309.2143","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.2143","created_at":"2026-05-18T00:58:42Z"},{"alias_kind":"arxiv_version","alias_value":"1309.2143v3","created_at":"2026-05-18T00:58:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.2143","created_at":"2026-05-18T00:58:42Z"},{"alias_kind":"pith_short_12","alias_value":"RIPLZG72ZZO4","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"RIPLZG72ZZO4LGBC","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"RIPLZG72","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:e205d4a63c68858e8e5f2aaef094928a28713a3e44f859dca0463b58d03067e7","target":"graph","created_at":"2026-05-18T00:58:42Z","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 considers downlink multicast transmit beamforming for secure layered transmission systems with wireless simultaneous information and power transfer. We study the power allocation algorithm design for minimizing the total transmit power in the presence of passive eavesdroppers and energy harvesting receivers. The algorithm design is formulated as a non-convex optimization problem. Our problem formulation promotes the dual use of energy signals in providing secure communication and facilitating efficient energy transfer. Besides, we take into account a minimum required power for energ","authors_text":"Derrick Wing Kwan Ng, Hussein Alnuweiri, Robert Schober","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-09-09T12:59:02Z","title":"Secure Layered Transmission in Multicast Systems with Wireless Information and Power Transfer"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.2143","kind":"arxiv","version":3},"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":"sha256:3342a760ee3a950e3af3d284ecc9e0519346f2a11213143d7d555067477f6302","target":"record","created_at":"2026-05-18T00:58:42Z","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":"d6461bf64834763cebdf0367437af260476f2eb6ff424ff32abb946ca07e706e","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-09-09T12:59:02Z","title_canon_sha256":"ee4f09aa54e21b60042756ab9248ee050c93d5613f80aba8ffb6a7554b0a6dd4"},"schema_version":"1.0","source":{"id":"1309.2143","kind":"arxiv","version":3}},"canonical_sha256":"8a1ebc9bface5dc59822239656ff1df27e78a8568338a4663e37f2bdec6d0304","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a1ebc9bface5dc59822239656ff1df27e78a8568338a4663e37f2bdec6d0304","first_computed_at":"2026-05-18T00:58:42.024205Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:42.024205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QMrY3EtDXToEi8WizEQv7MKiBjz0rRs6Qcwi4AJxsMSqcEZlLBpuPFv5JyAXU8Y7Y+jHT3ksifUm346ZTlL6AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:42.024937Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.2143","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3342a760ee3a950e3af3d284ecc9e0519346f2a11213143d7d555067477f6302","sha256:e205d4a63c68858e8e5f2aaef094928a28713a3e44f859dca0463b58d03067e7"],"state_sha256":"6c2021233b789322808ef8d37fa464c0e7387d46fcb1bf6b55611d6bf760390d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3L4C10+qPfR0FKYol6zUBokHNH4LCEbWPTTCLBO8vJFo8Rd1anWG/BmbD4oCLRpwGQgXB4HD8/R7VYvZBJfxBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T19:10:06.443090Z","bundle_sha256":"6c9ff295b1a2239a9ff89ed1644a44b1e895a6d47d33ad3409436fc98be55673"}}