{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:466GVPS64ZD5SLYELCYSM3U2F7","short_pith_number":"pith:466GVPS6","canonical_record":{"source":{"id":"1511.05539","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-11-17T20:34:48Z","cross_cats_sorted":["math.IT","math.OC"],"title_canon_sha256":"026f7b5b651d760f6e2ae611eae3c1117e9807a8d09719839120b96c6454b881","abstract_canon_sha256":"9b7dace0b5d60d6b0e9b3d24d59525ae878a7b8b9e6ecf90f8a4e98fad057b37"},"schema_version":"1.0"},"canonical_sha256":"e7bc6abe5ee647d92f0458b1266e9a2fd7583b35175f1fce9053b755ad71b686","source":{"kind":"arxiv","id":"1511.05539","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.05539","created_at":"2026-05-18T00:46:43Z"},{"alias_kind":"arxiv_version","alias_value":"1511.05539v1","created_at":"2026-05-18T00:46:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.05539","created_at":"2026-05-18T00:46:43Z"},{"alias_kind":"pith_short_12","alias_value":"466GVPS64ZD5","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"466GVPS64ZD5SLYE","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"466GVPS6","created_at":"2026-05-18T12:29:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:466GVPS64ZD5SLYELCYSM3U2F7","target":"record","payload":{"canonical_record":{"source":{"id":"1511.05539","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-11-17T20:34:48Z","cross_cats_sorted":["math.IT","math.OC"],"title_canon_sha256":"026f7b5b651d760f6e2ae611eae3c1117e9807a8d09719839120b96c6454b881","abstract_canon_sha256":"9b7dace0b5d60d6b0e9b3d24d59525ae878a7b8b9e6ecf90f8a4e98fad057b37"},"schema_version":"1.0"},"canonical_sha256":"e7bc6abe5ee647d92f0458b1266e9a2fd7583b35175f1fce9053b755ad71b686","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:43.054365Z","signature_b64":"DPzBmNOJ9nRoVYl3iRGzbvYE5BC1INdHGijx8g0oH7N7kVBTiWk96otg0ihS8Gi9icRRr6ECbWB0FTk5rL6UDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e7bc6abe5ee647d92f0458b1266e9a2fd7583b35175f1fce9053b755ad71b686","last_reissued_at":"2026-05-18T00:46:43.053809Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:43.053809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.05539","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":"2026-05-18T00:46:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qzI7x7Auw+Iaoa/ysqzn085QW/vrj2XX0iamoI8kktpnCCsRKEoTAEjMlLTCXUDyis4Na/mIZagnwBBPlzsxAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T14:44:23.001219Z"},"content_sha256":"bd2a816b006340146b25df4d733ab289a993f70d3f933e3307a082558c58de50","schema_version":"1.0","event_id":"sha256:bd2a816b006340146b25df4d733ab289a993f70d3f933e3307a082558c58de50"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:466GVPS64ZD5SLYELCYSM3U2F7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Energy-Efficient Resource Allocation for Wireless Powered Communication Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","math.OC"],"primary_cat":"cs.IT","authors_text":"Derrick Wing Kwan Ng, Meixia Tao, Qingqing Wu, Robert Schober, Wen Chen","submitted_at":"2015-11-17T20:34:48Z","abstract_excerpt":"This paper considers a wireless powered communication network (WPCN), where multiple users harvest energy from a dedicated power station and then communicate with an information receiving station. Our goal is to investigate the maximum achievable energy efficiency (EE) of the network via joint time allocation and power control while taking into account the initial battery energy of each user. We first study the EE maximization problem in the WPCN without any system throughput requirement. We show that the EE maximization problem for the WPCN can be cast into EE maximization problems for two si"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.05539","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":"2026-05-18T00:46:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KfDywKkNegHMTPNaq+JPBgm+wB46gB94cwITSXsuQbtZfsvzNhTzGKLvE5vGyRIZ5PHtKi3V/HgL/AdcQ6iiDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T14:44:23.001898Z"},"content_sha256":"976f704b502c5b1318f40141ae7081b880060b16f4bad448c066464ca469cd15","schema_version":"1.0","event_id":"sha256:976f704b502c5b1318f40141ae7081b880060b16f4bad448c066464ca469cd15"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/466GVPS64ZD5SLYELCYSM3U2F7/bundle.json","state_url":"https://pith.science/pith/466GVPS64ZD5SLYELCYSM3U2F7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/466GVPS64ZD5SLYELCYSM3U2F7/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":"2026-05-25T14:44:23Z","links":{"resolver":"https://pith.science/pith/466GVPS64ZD5SLYELCYSM3U2F7","bundle":"https://pith.science/pith/466GVPS64ZD5SLYELCYSM3U2F7/bundle.json","state":"https://pith.science/pith/466GVPS64ZD5SLYELCYSM3U2F7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/466GVPS64ZD5SLYELCYSM3U2F7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:466GVPS64ZD5SLYELCYSM3U2F7","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":"9b7dace0b5d60d6b0e9b3d24d59525ae878a7b8b9e6ecf90f8a4e98fad057b37","cross_cats_sorted":["math.IT","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-11-17T20:34:48Z","title_canon_sha256":"026f7b5b651d760f6e2ae611eae3c1117e9807a8d09719839120b96c6454b881"},"schema_version":"1.0","source":{"id":"1511.05539","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.05539","created_at":"2026-05-18T00:46:43Z"},{"alias_kind":"arxiv_version","alias_value":"1511.05539v1","created_at":"2026-05-18T00:46:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.05539","created_at":"2026-05-18T00:46:43Z"},{"alias_kind":"pith_short_12","alias_value":"466GVPS64ZD5","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"466GVPS64ZD5SLYE","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"466GVPS6","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:976f704b502c5b1318f40141ae7081b880060b16f4bad448c066464ca469cd15","target":"graph","created_at":"2026-05-18T00:46:43Z","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 a wireless powered communication network (WPCN), where multiple users harvest energy from a dedicated power station and then communicate with an information receiving station. Our goal is to investigate the maximum achievable energy efficiency (EE) of the network via joint time allocation and power control while taking into account the initial battery energy of each user. We first study the EE maximization problem in the WPCN without any system throughput requirement. We show that the EE maximization problem for the WPCN can be cast into EE maximization problems for two si","authors_text":"Derrick Wing Kwan Ng, Meixia Tao, Qingqing Wu, Robert Schober, Wen Chen","cross_cats":["math.IT","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-11-17T20:34:48Z","title":"Energy-Efficient Resource Allocation for Wireless Powered Communication Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.05539","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:bd2a816b006340146b25df4d733ab289a993f70d3f933e3307a082558c58de50","target":"record","created_at":"2026-05-18T00:46:43Z","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":"9b7dace0b5d60d6b0e9b3d24d59525ae878a7b8b9e6ecf90f8a4e98fad057b37","cross_cats_sorted":["math.IT","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-11-17T20:34:48Z","title_canon_sha256":"026f7b5b651d760f6e2ae611eae3c1117e9807a8d09719839120b96c6454b881"},"schema_version":"1.0","source":{"id":"1511.05539","kind":"arxiv","version":1}},"canonical_sha256":"e7bc6abe5ee647d92f0458b1266e9a2fd7583b35175f1fce9053b755ad71b686","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e7bc6abe5ee647d92f0458b1266e9a2fd7583b35175f1fce9053b755ad71b686","first_computed_at":"2026-05-18T00:46:43.053809Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:43.053809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DPzBmNOJ9nRoVYl3iRGzbvYE5BC1INdHGijx8g0oH7N7kVBTiWk96otg0ihS8Gi9icRRr6ECbWB0FTk5rL6UDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:43.054365Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.05539","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd2a816b006340146b25df4d733ab289a993f70d3f933e3307a082558c58de50","sha256:976f704b502c5b1318f40141ae7081b880060b16f4bad448c066464ca469cd15"],"state_sha256":"62940d04048ea4b0fc1cc14dbff06ef947dc6a63ee8d1a4218fb6a6527976afc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LK+uWdd2CBpb4OebJCR5+sDPMnOkbAYhYSZDF7sOVyB1d+deG5xhqNhVqxS9y9GDVkswk/IamJtGaIQby4fzDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T14:44:23.005183Z","bundle_sha256":"bbd9fd2ae18d15cc9a2ebb3ab09ca3988c3711ed094d1a36fc49e1225a4fdc61"}}