{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6H7OLJAKIG6HLOIS5NMMM62R4X","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":"70ca20b4714ffb89bee3f54a19f2d7b96d4713c095e49b222173dbed1baeb0a3","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-13T01:58:19Z","title_canon_sha256":"1c634c6af262f957ffadd188b7ab51889f8c61c91d0c2ccaaed92daa09f89158"},"schema_version":"1.0","source":{"id":"1512.03985","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.03985","created_at":"2026-05-18T00:36:10Z"},{"alias_kind":"arxiv_version","alias_value":"1512.03985v4","created_at":"2026-05-18T00:36:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.03985","created_at":"2026-05-18T00:36:10Z"},{"alias_kind":"pith_short_12","alias_value":"6H7OLJAKIG6H","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6H7OLJAKIG6HLOIS","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6H7OLJAK","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:dac28cf0034350b8eabc7d577d7bb97a0d07bb5023c21254d1afadf6ed2d551e","target":"graph","created_at":"2026-05-18T00:36:10Z","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":"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","authors_text":"Li Mei Peng, Pin-Han Ho, Zhi Chen","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-13T01:58:19Z","title":"Joint Power Minimization Over Multi-Carrier Two-Way Relay Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.03985","kind":"arxiv","version":4},"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:f2d048f09fcf5aa4a025dabe5d2c244c3eabaf362d419b3cba7358d86b3ba595","target":"record","created_at":"2026-05-18T00:36:10Z","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":"70ca20b4714ffb89bee3f54a19f2d7b96d4713c095e49b222173dbed1baeb0a3","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-13T01:58:19Z","title_canon_sha256":"1c634c6af262f957ffadd188b7ab51889f8c61c91d0c2ccaaed92daa09f89158"},"schema_version":"1.0","source":{"id":"1512.03985","kind":"arxiv","version":4}},"canonical_sha256":"f1fee5a40a41bc75b912eb58c67b51e5ea4196f565a64f2e72979f7c4b280182","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1fee5a40a41bc75b912eb58c67b51e5ea4196f565a64f2e72979f7c4b280182","first_computed_at":"2026-05-18T00:36:10.022959Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:10.022959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SW5tAo2fVs7C1LG4lr435gd5rhen/nWvq+smffuO2qHWVA5Blb7kDDQKIXvvlm8P/gnsxkFwYpV7ELmQbAoVAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:10.023653Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.03985","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2d048f09fcf5aa4a025dabe5d2c244c3eabaf362d419b3cba7358d86b3ba595","sha256:dac28cf0034350b8eabc7d577d7bb97a0d07bb5023c21254d1afadf6ed2d551e"],"state_sha256":"da6fe8b45d74349cae0a04f74455658ead4c2f6997e566309e1788b72ec3061d"}