{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:32H4QX3YOD5EQRLKKJAR2VN332","short_pith_number":"pith:32H4QX3Y","schema_version":"1.0","canonical_sha256":"de8fc85f7870fa48456a52411d55bbde82995a367dd3876503773ddee88881f5","source":{"kind":"arxiv","id":"1509.08309","version":2},"attestation_state":"computed","paper":{"title":"Energy Efficiency in MIMO Underlay and Overlay Device-to-Device Communications and Cognitive Radio Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Alessio Zappone, Bho Matthiesen, Eduard A. Jorswieck","submitted_at":"2015-09-28T13:32:34Z","abstract_excerpt":"This paper addresses the problem of resource allocation for systems in which a primary and a secondary link share the available spectrum by an underlay or overlay approach. After observing that such a scenario models both cognitive radio and D2D communications, we formulate the problem as the maximization of the secondary energy efficiency subject to a minimum rate requirement for the primary user. This leads to challenging non-convex, fractional problems. In the underlay scenario, we obtain the global solution by means of a suitable reformulation. In the overlay scenario, two algorithms are p"},"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":"1509.08309","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-09-28T13:32:34Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"b5581b3b42df735ba350b373f2374a693d3e4db0a7025461742fd1c3a0f69711","abstract_canon_sha256":"0ecbf530b1d87cb3497e2af6340ae0872fa1841e05ea5ed7c6630ffeed2a8230"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:41.344945Z","signature_b64":"kjG5RdtSksiMVrkI6pIn3LiS1FhLJ1apco+V9+q6QASkDwuPgYOQT6UCQDmOiW9izDXBtEHlEz9Zwpzzs1ZZDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de8fc85f7870fa48456a52411d55bbde82995a367dd3876503773ddee88881f5","last_reissued_at":"2026-05-18T00:54:41.344523Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:41.344523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Energy Efficiency in MIMO Underlay and Overlay Device-to-Device Communications and Cognitive Radio Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Alessio Zappone, Bho Matthiesen, Eduard A. Jorswieck","submitted_at":"2015-09-28T13:32:34Z","abstract_excerpt":"This paper addresses the problem of resource allocation for systems in which a primary and a secondary link share the available spectrum by an underlay or overlay approach. After observing that such a scenario models both cognitive radio and D2D communications, we formulate the problem as the maximization of the secondary energy efficiency subject to a minimum rate requirement for the primary user. This leads to challenging non-convex, fractional problems. In the underlay scenario, we obtain the global solution by means of a suitable reformulation. In the overlay scenario, two algorithms are p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.08309","kind":"arxiv","version":2},"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":"1509.08309","created_at":"2026-05-18T00:54:41.344597+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.08309v2","created_at":"2026-05-18T00:54:41.344597+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.08309","created_at":"2026-05-18T00:54:41.344597+00:00"},{"alias_kind":"pith_short_12","alias_value":"32H4QX3YOD5E","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_16","alias_value":"32H4QX3YOD5EQRLK","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_8","alias_value":"32H4QX3Y","created_at":"2026-05-18T12:29:02.477457+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/32H4QX3YOD5EQRLKKJAR2VN332","json":"https://pith.science/pith/32H4QX3YOD5EQRLKKJAR2VN332.json","graph_json":"https://pith.science/api/pith-number/32H4QX3YOD5EQRLKKJAR2VN332/graph.json","events_json":"https://pith.science/api/pith-number/32H4QX3YOD5EQRLKKJAR2VN332/events.json","paper":"https://pith.science/paper/32H4QX3Y"},"agent_actions":{"view_html":"https://pith.science/pith/32H4QX3YOD5EQRLKKJAR2VN332","download_json":"https://pith.science/pith/32H4QX3YOD5EQRLKKJAR2VN332.json","view_paper":"https://pith.science/paper/32H4QX3Y","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.08309&json=true","fetch_graph":"https://pith.science/api/pith-number/32H4QX3YOD5EQRLKKJAR2VN332/graph.json","fetch_events":"https://pith.science/api/pith-number/32H4QX3YOD5EQRLKKJAR2VN332/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/32H4QX3YOD5EQRLKKJAR2VN332/action/timestamp_anchor","attest_storage":"https://pith.science/pith/32H4QX3YOD5EQRLKKJAR2VN332/action/storage_attestation","attest_author":"https://pith.science/pith/32H4QX3YOD5EQRLKKJAR2VN332/action/author_attestation","sign_citation":"https://pith.science/pith/32H4QX3YOD5EQRLKKJAR2VN332/action/citation_signature","submit_replication":"https://pith.science/pith/32H4QX3YOD5EQRLKKJAR2VN332/action/replication_record"}},"created_at":"2026-05-18T00:54:41.344597+00:00","updated_at":"2026-05-18T00:54:41.344597+00:00"}