{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:WCQSTXDTKONGUZIAXHXZVYLFEQ","short_pith_number":"pith:WCQSTXDT","canonical_record":{"source":{"id":"1810.06218","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-10-15T08:12:23Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"4be8ae0bad9f8dadfa68a411b2368768153c1235ca39e048b73b0751f22e603a","abstract_canon_sha256":"0b6670c43fed5d20f5eee5147b2241f102337745b989c3fbdae340f64b705e48"},"schema_version":"1.0"},"canonical_sha256":"b0a129dc73539a6a6500b9ef9ae165243f3d3c5ef1e8b19865da57b917fd6a27","source":{"kind":"arxiv","id":"1810.06218","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.06218","created_at":"2026-05-18T00:03:21Z"},{"alias_kind":"arxiv_version","alias_value":"1810.06218v1","created_at":"2026-05-18T00:03:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.06218","created_at":"2026-05-18T00:03:21Z"},{"alias_kind":"pith_short_12","alias_value":"WCQSTXDTKONG","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"WCQSTXDTKONGUZIA","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"WCQSTXDT","created_at":"2026-05-18T12:32:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:WCQSTXDTKONGUZIAXHXZVYLFEQ","target":"record","payload":{"canonical_record":{"source":{"id":"1810.06218","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-10-15T08:12:23Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"4be8ae0bad9f8dadfa68a411b2368768153c1235ca39e048b73b0751f22e603a","abstract_canon_sha256":"0b6670c43fed5d20f5eee5147b2241f102337745b989c3fbdae340f64b705e48"},"schema_version":"1.0"},"canonical_sha256":"b0a129dc73539a6a6500b9ef9ae165243f3d3c5ef1e8b19865da57b917fd6a27","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:21.096819Z","signature_b64":"1ya0KNr0Jg4j2vzq155iXse2qKXluQNGsW8iZu8GkrW5+uXy4A/5GPV5mO/HpNvtqoytHBciRAglaZGJFIhnDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b0a129dc73539a6a6500b9ef9ae165243f3d3c5ef1e8b19865da57b917fd6a27","last_reissued_at":"2026-05-18T00:03:21.096371Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:21.096371Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.06218","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":"2026-05-18T00:03:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ufozPYIJ66sDSK6bNIjEsq2HnZpRpsaeesVHNAt+4TgB4kX3DeCt1x3jERM+xOCD4dRkm5T91NB4mNsZVn32Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T14:54:26.047256Z"},"content_sha256":"137b9e3df0d00b87f21b29128239bf05b6f3886da97facd8cc6c95aeba3a2dd3","schema_version":"1.0","event_id":"sha256:137b9e3df0d00b87f21b29128239bf05b6f3886da97facd8cc6c95aeba3a2dd3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:WCQSTXDTKONGUZIAXHXZVYLFEQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Energy Efficiency Fairness for Multi-Pair Wireless-Powered Relaying Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Kien-Giang Nguyen, Le-Nam Tran, Markku Juntti, Quang-Doanh Vu","submitted_at":"2018-10-15T08:12:23Z","abstract_excerpt":"We consider a multi-pair amplify-and-forward relay network where the energy-constrained relays adopting time-switching protocol harvest energy from the radio frequency signals transmitted by the users for assisting user data transmission. Both one-way and two-way relaying techniques are investigated. Aiming at energy efficiency (EE) fairness among the user pairs, we construct an energy consumption model incorporating rate-dependent signal processing power, the dependence on output power level of power amplifiers' efficiency, and nonlinear energy harvesting (EH) circuits. Then we formulate the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.06218","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":"2026-05-18T00:03:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hldH0QhIH/gun8voJMMOskYnjc0HFzQ8u0Se9CFcCUEQIGJqb0w9Cacq079nKHEqCDKuxPVqTWkwC/W5yJ9yDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T14:54:26.047625Z"},"content_sha256":"c343a7831322f7a5b387e6bb685b831d447e227cbbe8ab85816c58540c16e355","schema_version":"1.0","event_id":"sha256:c343a7831322f7a5b387e6bb685b831d447e227cbbe8ab85816c58540c16e355"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WCQSTXDTKONGUZIAXHXZVYLFEQ/bundle.json","state_url":"https://pith.science/pith/WCQSTXDTKONGUZIAXHXZVYLFEQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WCQSTXDTKONGUZIAXHXZVYLFEQ/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":"2026-06-09T14:54:26Z","links":{"resolver":"https://pith.science/pith/WCQSTXDTKONGUZIAXHXZVYLFEQ","bundle":"https://pith.science/pith/WCQSTXDTKONGUZIAXHXZVYLFEQ/bundle.json","state":"https://pith.science/pith/WCQSTXDTKONGUZIAXHXZVYLFEQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WCQSTXDTKONGUZIAXHXZVYLFEQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:WCQSTXDTKONGUZIAXHXZVYLFEQ","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":"0b6670c43fed5d20f5eee5147b2241f102337745b989c3fbdae340f64b705e48","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-10-15T08:12:23Z","title_canon_sha256":"4be8ae0bad9f8dadfa68a411b2368768153c1235ca39e048b73b0751f22e603a"},"schema_version":"1.0","source":{"id":"1810.06218","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.06218","created_at":"2026-05-18T00:03:21Z"},{"alias_kind":"arxiv_version","alias_value":"1810.06218v1","created_at":"2026-05-18T00:03:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.06218","created_at":"2026-05-18T00:03:21Z"},{"alias_kind":"pith_short_12","alias_value":"WCQSTXDTKONG","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"WCQSTXDTKONGUZIA","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"WCQSTXDT","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:c343a7831322f7a5b387e6bb685b831d447e227cbbe8ab85816c58540c16e355","target":"graph","created_at":"2026-05-18T00:03:21Z","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":"We consider a multi-pair amplify-and-forward relay network where the energy-constrained relays adopting time-switching protocol harvest energy from the radio frequency signals transmitted by the users for assisting user data transmission. Both one-way and two-way relaying techniques are investigated. Aiming at energy efficiency (EE) fairness among the user pairs, we construct an energy consumption model incorporating rate-dependent signal processing power, the dependence on output power level of power amplifiers' efficiency, and nonlinear energy harvesting (EH) circuits. Then we formulate the ","authors_text":"Kien-Giang Nguyen, Le-Nam Tran, Markku Juntti, Quang-Doanh Vu","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-10-15T08:12:23Z","title":"Energy Efficiency Fairness for Multi-Pair Wireless-Powered Relaying Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.06218","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":"sha256:137b9e3df0d00b87f21b29128239bf05b6f3886da97facd8cc6c95aeba3a2dd3","target":"record","created_at":"2026-05-18T00:03:21Z","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":"0b6670c43fed5d20f5eee5147b2241f102337745b989c3fbdae340f64b705e48","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-10-15T08:12:23Z","title_canon_sha256":"4be8ae0bad9f8dadfa68a411b2368768153c1235ca39e048b73b0751f22e603a"},"schema_version":"1.0","source":{"id":"1810.06218","kind":"arxiv","version":1}},"canonical_sha256":"b0a129dc73539a6a6500b9ef9ae165243f3d3c5ef1e8b19865da57b917fd6a27","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b0a129dc73539a6a6500b9ef9ae165243f3d3c5ef1e8b19865da57b917fd6a27","first_computed_at":"2026-05-18T00:03:21.096371Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:21.096371Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1ya0KNr0Jg4j2vzq155iXse2qKXluQNGsW8iZu8GkrW5+uXy4A/5GPV5mO/HpNvtqoytHBciRAglaZGJFIhnDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:21.096819Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.06218","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:137b9e3df0d00b87f21b29128239bf05b6f3886da97facd8cc6c95aeba3a2dd3","sha256:c343a7831322f7a5b387e6bb685b831d447e227cbbe8ab85816c58540c16e355"],"state_sha256":"6a6cc3e067e78e4448295e561d8c51c332791aa15ce13f2f52ab73bf09a9b8b4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1rOdqOyZKE/b90pL+a5lrTOpa/ShFaoGcBQny/rDfnOA5t+Gxm5JGwKt2y3m0nFUqu27jRCrb+PK/aOtP1OnAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T14:54:26.049705Z","bundle_sha256":"a1c7a60f0f0341b2e6ad67ea168cd1cf148c8b82eac97bc6276fb6b35eca8fb3"}}