{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:6H7OLJAKIG6HLOIS5NMMM62R4X","short_pith_number":"pith:6H7OLJAK","schema_version":"1.0","canonical_sha256":"f1fee5a40a41bc75b912eb58c67b51e5ea4196f565a64f2e72979f7c4b280182","source":{"kind":"arxiv","id":"1512.03985","version":4},"attestation_state":"computed","paper":{"title":"Joint Power Minimization Over Multi-Carrier Two-Way Relay Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Li Mei Peng, Pin-Han Ho, Zhi Chen","submitted_at":"2015-12-13T01:58:19Z","abstract_excerpt":"The study considers a three-node, two-way relaying network (TWRN) over a multi-carrier system, aiming to minimize the total power consumption of all the transmit and receiver activities. By employing digital network coding (DNC) and physical-layer network coding (PNC), respectively, as well as a novel hybrid PNC/DNC switching scheme, the total transmission power of the considered multi-carrier TWRN system is firstly analyzed; and the derived analytical expressions are then used to formulate a set of nonconvex optimization problems. We will show how those nonconvex functions are convexified for"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1512.03985","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-13T01:58:19Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"1c634c6af262f957ffadd188b7ab51889f8c61c91d0c2ccaaed92daa09f89158","abstract_canon_sha256":"70ca20b4714ffb89bee3f54a19f2d7b96d4713c095e49b222173dbed1baeb0a3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:10.023653Z","signature_b64":"SW5tAo2fVs7C1LG4lr435gd5rhen/nWvq+smffuO2qHWVA5Blb7kDDQKIXvvlm8P/gnsxkFwYpV7ELmQbAoVAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1fee5a40a41bc75b912eb58c67b51e5ea4196f565a64f2e72979f7c4b280182","last_reissued_at":"2026-05-18T00:36:10.022959Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:10.022959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Joint Power Minimization Over Multi-Carrier Two-Way Relay Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Li Mei Peng, Pin-Han Ho, Zhi Chen","submitted_at":"2015-12-13T01:58:19Z","abstract_excerpt":"The study considers a three-node, two-way relaying network (TWRN) over a multi-carrier system, aiming to minimize the total power consumption of all the transmit and receiver activities. By employing digital network coding (DNC) and physical-layer network coding (PNC), respectively, as well as a novel hybrid PNC/DNC switching scheme, the total transmission power of the considered multi-carrier TWRN system is firstly analyzed; and the derived analytical expressions are then used to formulate a set of nonconvex optimization problems. We will show how those nonconvex functions are convexified for"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.03985","kind":"arxiv","version":4},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1512.03985","created_at":"2026-05-18T00:36:10.023071+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.03985v4","created_at":"2026-05-18T00:36:10.023071+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.03985","created_at":"2026-05-18T00:36:10.023071+00:00"},{"alias_kind":"pith_short_12","alias_value":"6H7OLJAKIG6H","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_16","alias_value":"6H7OLJAKIG6HLOIS","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_8","alias_value":"6H7OLJAK","created_at":"2026-05-18T12:29:07.941421+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6H7OLJAKIG6HLOIS5NMMM62R4X","json":"https://pith.science/pith/6H7OLJAKIG6HLOIS5NMMM62R4X.json","graph_json":"https://pith.science/api/pith-number/6H7OLJAKIG6HLOIS5NMMM62R4X/graph.json","events_json":"https://pith.science/api/pith-number/6H7OLJAKIG6HLOIS5NMMM62R4X/events.json","paper":"https://pith.science/paper/6H7OLJAK"},"agent_actions":{"view_html":"https://pith.science/pith/6H7OLJAKIG6HLOIS5NMMM62R4X","download_json":"https://pith.science/pith/6H7OLJAKIG6HLOIS5NMMM62R4X.json","view_paper":"https://pith.science/paper/6H7OLJAK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.03985&json=true","fetch_graph":"https://pith.science/api/pith-number/6H7OLJAKIG6HLOIS5NMMM62R4X/graph.json","fetch_events":"https://pith.science/api/pith-number/6H7OLJAKIG6HLOIS5NMMM62R4X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6H7OLJAKIG6HLOIS5NMMM62R4X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6H7OLJAKIG6HLOIS5NMMM62R4X/action/storage_attestation","attest_author":"https://pith.science/pith/6H7OLJAKIG6HLOIS5NMMM62R4X/action/author_attestation","sign_citation":"https://pith.science/pith/6H7OLJAKIG6HLOIS5NMMM62R4X/action/citation_signature","submit_replication":"https://pith.science/pith/6H7OLJAKIG6HLOIS5NMMM62R4X/action/replication_record"}},"created_at":"2026-05-18T00:36:10.023071+00:00","updated_at":"2026-05-18T00:36:10.023071+00:00"}