{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:ELB7ULXAPFRMXXMC7QWETKJI73","short_pith_number":"pith:ELB7ULXA","canonical_record":{"source":{"id":"1509.04442","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-09-15T08:39:08Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"4abe7254367bc415b3c84654e708d2a27c7814b5689e9f18569a83e3744b565b","abstract_canon_sha256":"9e0fc4f7cc68ec37b470eba11d9f67539f0d56fd0c3fbf722e534ff912cc1706"},"schema_version":"1.0"},"canonical_sha256":"22c3fa2ee07962cbdd82fc2c49a928fed107a420d014c4ebc76341144897c5ff","source":{"kind":"arxiv","id":"1509.04442","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.04442","created_at":"2026-05-18T01:32:58Z"},{"alias_kind":"arxiv_version","alias_value":"1509.04442v1","created_at":"2026-05-18T01:32:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.04442","created_at":"2026-05-18T01:32:58Z"},{"alias_kind":"pith_short_12","alias_value":"ELB7ULXAPFRM","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"ELB7ULXAPFRMXXMC","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"ELB7ULXA","created_at":"2026-05-18T12:29:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:ELB7ULXAPFRMXXMC7QWETKJI73","target":"record","payload":{"canonical_record":{"source":{"id":"1509.04442","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-09-15T08:39:08Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"4abe7254367bc415b3c84654e708d2a27c7814b5689e9f18569a83e3744b565b","abstract_canon_sha256":"9e0fc4f7cc68ec37b470eba11d9f67539f0d56fd0c3fbf722e534ff912cc1706"},"schema_version":"1.0"},"canonical_sha256":"22c3fa2ee07962cbdd82fc2c49a928fed107a420d014c4ebc76341144897c5ff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:32:58.910149Z","signature_b64":"frLdfEAfQBKNEQNa9BlAwaBtMteqYzG+EXCfgmtfD/LuQZpkAmlEMugcxP+7bTccic8tkTzgNfe18Bpjifh0Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22c3fa2ee07962cbdd82fc2c49a928fed107a420d014c4ebc76341144897c5ff","last_reissued_at":"2026-05-18T01:32:58.909532Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:32:58.909532Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.04442","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":"2026-05-18T01:32:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QmJhcGNjREky9Iwh48sz6fM7rT8YYcymQm9pPO7Le/0p/Jz0YhEgoehPyj0Hpf9ZFNmXHEZRco22kNCQvQFJAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T06:52:55.671963Z"},"content_sha256":"a485ed5a1c1ac2ba774839dba1ec8e490033cdede7a6b3ce33d7519cf1e22dd6","schema_version":"1.0","event_id":"sha256:a485ed5a1c1ac2ba774839dba1ec8e490033cdede7a6b3ce33d7519cf1e22dd6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:ELB7ULXAPFRMXXMC7QWETKJI73","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Energy Harvesting for Physical-Layer Security in OFDMA Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Meng Zhang, Yuan Liu","submitted_at":"2015-09-15T08:39:08Z","abstract_excerpt":"In this paper, we study the simultaneous wireless information and power transfer (SWIPT) in downlink multiuser orthogonal frequency-division multiple access (OFDMA) systems, where each user applies power splitting scheme to coordinate the energy harvesting and secrecy information decoding processes. Assuming equal power allocation across subcarriers, we formulate the problem to maximize the aggregate harvested power of all users while satisfying secrecy rate requirement of individual user by joint subcarrier allocation and optimal power splitting ratio selection. Due to the NP-hardness of the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.04442","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":"2026-05-18T01:32:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HvKfkGEVkO4allHWULp9iSKsfUiXp0wsDT0Hn6uMzf/i55jxZabpo/jz8AEQtAscoXiE5CzuYbzAqJr4gRiqDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T06:52:55.672625Z"},"content_sha256":"05451f1a9dc0c753b1adbeb7f25a7d60c295613296777827de98a18ece67fffe","schema_version":"1.0","event_id":"sha256:05451f1a9dc0c753b1adbeb7f25a7d60c295613296777827de98a18ece67fffe"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ELB7ULXAPFRMXXMC7QWETKJI73/bundle.json","state_url":"https://pith.science/pith/ELB7ULXAPFRMXXMC7QWETKJI73/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ELB7ULXAPFRMXXMC7QWETKJI73/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":"2026-06-10T06:52:55Z","links":{"resolver":"https://pith.science/pith/ELB7ULXAPFRMXXMC7QWETKJI73","bundle":"https://pith.science/pith/ELB7ULXAPFRMXXMC7QWETKJI73/bundle.json","state":"https://pith.science/pith/ELB7ULXAPFRMXXMC7QWETKJI73/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ELB7ULXAPFRMXXMC7QWETKJI73/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ELB7ULXAPFRMXXMC7QWETKJI73","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":"9e0fc4f7cc68ec37b470eba11d9f67539f0d56fd0c3fbf722e534ff912cc1706","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-09-15T08:39:08Z","title_canon_sha256":"4abe7254367bc415b3c84654e708d2a27c7814b5689e9f18569a83e3744b565b"},"schema_version":"1.0","source":{"id":"1509.04442","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.04442","created_at":"2026-05-18T01:32:58Z"},{"alias_kind":"arxiv_version","alias_value":"1509.04442v1","created_at":"2026-05-18T01:32:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.04442","created_at":"2026-05-18T01:32:58Z"},{"alias_kind":"pith_short_12","alias_value":"ELB7ULXAPFRM","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"ELB7ULXAPFRMXXMC","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"ELB7ULXA","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:05451f1a9dc0c753b1adbeb7f25a7d60c295613296777827de98a18ece67fffe","target":"graph","created_at":"2026-05-18T01:32:58Z","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 study the simultaneous wireless information and power transfer (SWIPT) in downlink multiuser orthogonal frequency-division multiple access (OFDMA) systems, where each user applies power splitting scheme to coordinate the energy harvesting and secrecy information decoding processes. Assuming equal power allocation across subcarriers, we formulate the problem to maximize the aggregate harvested power of all users while satisfying secrecy rate requirement of individual user by joint subcarrier allocation and optimal power splitting ratio selection. Due to the NP-hardness of the ","authors_text":"Meng Zhang, Yuan Liu","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-09-15T08:39:08Z","title":"Energy Harvesting for Physical-Layer Security in OFDMA Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.04442","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:a485ed5a1c1ac2ba774839dba1ec8e490033cdede7a6b3ce33d7519cf1e22dd6","target":"record","created_at":"2026-05-18T01:32:58Z","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":"9e0fc4f7cc68ec37b470eba11d9f67539f0d56fd0c3fbf722e534ff912cc1706","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-09-15T08:39:08Z","title_canon_sha256":"4abe7254367bc415b3c84654e708d2a27c7814b5689e9f18569a83e3744b565b"},"schema_version":"1.0","source":{"id":"1509.04442","kind":"arxiv","version":1}},"canonical_sha256":"22c3fa2ee07962cbdd82fc2c49a928fed107a420d014c4ebc76341144897c5ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22c3fa2ee07962cbdd82fc2c49a928fed107a420d014c4ebc76341144897c5ff","first_computed_at":"2026-05-18T01:32:58.909532Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:58.909532Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"frLdfEAfQBKNEQNa9BlAwaBtMteqYzG+EXCfgmtfD/LuQZpkAmlEMugcxP+7bTccic8tkTzgNfe18Bpjifh0Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:58.910149Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.04442","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a485ed5a1c1ac2ba774839dba1ec8e490033cdede7a6b3ce33d7519cf1e22dd6","sha256:05451f1a9dc0c753b1adbeb7f25a7d60c295613296777827de98a18ece67fffe"],"state_sha256":"7f001ac78b6e424d2b386783b3cf33940f0de82375b5110a97c397432c53014b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h+pygSyxoSXiHn7BMCu7q96dsJpJv7CaxnvDehXbDXevH7PfvQo9kJRY+asJR9UOlpUNEn9g4phzLrlBGCeMAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T06:52:55.676700Z","bundle_sha256":"2889b06cab8d75d0789745b32e4b5108327ceeb2cbb6a77c8ea0ce31ef72668d"}}