{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:2G5CX6ZTZZK3X6E5OFROIL2DWI","short_pith_number":"pith:2G5CX6ZT","schema_version":"1.0","canonical_sha256":"d1ba2bfb33ce55bbf89d7162e42f43b230b02bef3eadc1cb029d03029a558632","source":{"kind":"arxiv","id":"1207.1563","version":1},"attestation_state":"computed","paper":{"title":"Achievable Sum-Rates in Gaussian Multiple-Access Channels with MIMO-AF-Relay and Direct Links","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Carolin Huppert, Frederic Knabe, Omar Mohamed","submitted_at":"2012-07-06T09:16:55Z","abstract_excerpt":"We consider a single-antenna Gaussian multiple-access channel (MAC) with a multiple-antenna amplify-and-forward (AF) relay, where, contrary to many previous works, also the direct links between transmitters and receiver are taken into account. For this channel, we investigate two transmit schemes: Sending and relaying all signals jointly or using a time-division multiple-access (TDMA) structure, where only one transmitter uses the channel at a time. While the optimal relaying matrices and time slot durations are found for the latter scheme, we provide upper and lower bounds on the achievable s"},"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":"1207.1563","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-07-06T09:16:55Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"4642a574e468e53a056744dc8fd58d422af1805cd000e5f47ece85f1e5bb9d96","abstract_canon_sha256":"c3e147fea9fbbc28af0a4c071fa7dd06ddb742dc1c335b41af2aa86b8419c5ff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:51:36.860225Z","signature_b64":"o3hGQ4r8RMsgKyzX3omys9UmGpUtnuT8gMaX7nzDDdH/RnISdPAUlAw7EvOflIts+6BHdCvZNhBw5AlTf///Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d1ba2bfb33ce55bbf89d7162e42f43b230b02bef3eadc1cb029d03029a558632","last_reissued_at":"2026-05-18T03:51:36.859651Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:51:36.859651Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Achievable Sum-Rates in Gaussian Multiple-Access Channels with MIMO-AF-Relay and Direct Links","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Carolin Huppert, Frederic Knabe, Omar Mohamed","submitted_at":"2012-07-06T09:16:55Z","abstract_excerpt":"We consider a single-antenna Gaussian multiple-access channel (MAC) with a multiple-antenna amplify-and-forward (AF) relay, where, contrary to many previous works, also the direct links between transmitters and receiver are taken into account. For this channel, we investigate two transmit schemes: Sending and relaying all signals jointly or using a time-division multiple-access (TDMA) structure, where only one transmitter uses the channel at a time. While the optimal relaying matrices and time slot durations are found for the latter scheme, we provide upper and lower bounds on the achievable s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1563","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1207.1563","created_at":"2026-05-18T03:51:36.859728+00:00"},{"alias_kind":"arxiv_version","alias_value":"1207.1563v1","created_at":"2026-05-18T03:51:36.859728+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.1563","created_at":"2026-05-18T03:51:36.859728+00:00"},{"alias_kind":"pith_short_12","alias_value":"2G5CX6ZTZZK3","created_at":"2026-05-18T12:26:50.516681+00:00"},{"alias_kind":"pith_short_16","alias_value":"2G5CX6ZTZZK3X6E5","created_at":"2026-05-18T12:26:50.516681+00:00"},{"alias_kind":"pith_short_8","alias_value":"2G5CX6ZT","created_at":"2026-05-18T12:26:50.516681+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/2G5CX6ZTZZK3X6E5OFROIL2DWI","json":"https://pith.science/pith/2G5CX6ZTZZK3X6E5OFROIL2DWI.json","graph_json":"https://pith.science/api/pith-number/2G5CX6ZTZZK3X6E5OFROIL2DWI/graph.json","events_json":"https://pith.science/api/pith-number/2G5CX6ZTZZK3X6E5OFROIL2DWI/events.json","paper":"https://pith.science/paper/2G5CX6ZT"},"agent_actions":{"view_html":"https://pith.science/pith/2G5CX6ZTZZK3X6E5OFROIL2DWI","download_json":"https://pith.science/pith/2G5CX6ZTZZK3X6E5OFROIL2DWI.json","view_paper":"https://pith.science/paper/2G5CX6ZT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1207.1563&json=true","fetch_graph":"https://pith.science/api/pith-number/2G5CX6ZTZZK3X6E5OFROIL2DWI/graph.json","fetch_events":"https://pith.science/api/pith-number/2G5CX6ZTZZK3X6E5OFROIL2DWI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2G5CX6ZTZZK3X6E5OFROIL2DWI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2G5CX6ZTZZK3X6E5OFROIL2DWI/action/storage_attestation","attest_author":"https://pith.science/pith/2G5CX6ZTZZK3X6E5OFROIL2DWI/action/author_attestation","sign_citation":"https://pith.science/pith/2G5CX6ZTZZK3X6E5OFROIL2DWI/action/citation_signature","submit_replication":"https://pith.science/pith/2G5CX6ZTZZK3X6E5OFROIL2DWI/action/replication_record"}},"created_at":"2026-05-18T03:51:36.859728+00:00","updated_at":"2026-05-18T03:51:36.859728+00:00"}