{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:2ZW5FKJITVHNS7VGCYUI4GAELW","short_pith_number":"pith:2ZW5FKJI","schema_version":"1.0","canonical_sha256":"d66dd2a9289d4ed97ea616288e18045d8b630720c561099405d51900e069d9fe","source":{"kind":"arxiv","id":"1510.02448","version":3},"attestation_state":"computed","paper":{"title":"A Stochastic Beamformed Amplify-and-Forward Scheme in a Multigroup Multicast MIMO Relay Network with Per-Antenna Power Constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Anthony Man-Cho So, Qiang Li, Sissi Xiaoxiao Wu, Wing-Kin Ma","submitted_at":"2015-10-08T19:04:32Z","abstract_excerpt":"In this paper, we consider a two-hop one-way relay network for multigroup multicast transmission between long-distance users, in which the relay is equipped with multiple antennas, while the transmitters and receivers are all with a single antenna. Assuming that perfect channel state information is available, we study amplify-and-forward (AF) schemes that aim at optimizing the max-min-fair (MMF) rate. We begin by considering the classic beamformed AF (BF-AF) scheme, whose corresponding MMF design problem can be formulated as a rank-constrained fractional semidefinite program (SDP). We show tha"},"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":"1510.02448","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-10-08T19:04:32Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"1aa0a32011a0f67d38dc17a208e14597f97530fb2b7f3bc96b780f0275574ca4","abstract_canon_sha256":"96a5ef5420a4c527263d1c3fedbcace5804836147a776f010948bfd1bbead42f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:57.209498Z","signature_b64":"VHhIA2UvS9K83HxVM8wKot943+ODjonZTn0OXCO+Es8hAD3qIqCh6Xg7bU0pE9PC9c1LdfX6Jzpy3g64m8/zDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d66dd2a9289d4ed97ea616288e18045d8b630720c561099405d51900e069d9fe","last_reissued_at":"2026-05-18T01:18:57.208877Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:57.208877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Stochastic Beamformed Amplify-and-Forward Scheme in a Multigroup Multicast MIMO Relay Network with Per-Antenna Power Constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Anthony Man-Cho So, Qiang Li, Sissi Xiaoxiao Wu, Wing-Kin Ma","submitted_at":"2015-10-08T19:04:32Z","abstract_excerpt":"In this paper, we consider a two-hop one-way relay network for multigroup multicast transmission between long-distance users, in which the relay is equipped with multiple antennas, while the transmitters and receivers are all with a single antenna. Assuming that perfect channel state information is available, we study amplify-and-forward (AF) schemes that aim at optimizing the max-min-fair (MMF) rate. We begin by considering the classic beamformed AF (BF-AF) scheme, whose corresponding MMF design problem can be formulated as a rank-constrained fractional semidefinite program (SDP). We show tha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.02448","kind":"arxiv","version":3},"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":"1510.02448","created_at":"2026-05-18T01:18:57.208962+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.02448v3","created_at":"2026-05-18T01:18:57.208962+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.02448","created_at":"2026-05-18T01:18:57.208962+00:00"},{"alias_kind":"pith_short_12","alias_value":"2ZW5FKJITVHN","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_16","alias_value":"2ZW5FKJITVHNS7VG","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_8","alias_value":"2ZW5FKJI","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/2ZW5FKJITVHNS7VGCYUI4GAELW","json":"https://pith.science/pith/2ZW5FKJITVHNS7VGCYUI4GAELW.json","graph_json":"https://pith.science/api/pith-number/2ZW5FKJITVHNS7VGCYUI4GAELW/graph.json","events_json":"https://pith.science/api/pith-number/2ZW5FKJITVHNS7VGCYUI4GAELW/events.json","paper":"https://pith.science/paper/2ZW5FKJI"},"agent_actions":{"view_html":"https://pith.science/pith/2ZW5FKJITVHNS7VGCYUI4GAELW","download_json":"https://pith.science/pith/2ZW5FKJITVHNS7VGCYUI4GAELW.json","view_paper":"https://pith.science/paper/2ZW5FKJI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.02448&json=true","fetch_graph":"https://pith.science/api/pith-number/2ZW5FKJITVHNS7VGCYUI4GAELW/graph.json","fetch_events":"https://pith.science/api/pith-number/2ZW5FKJITVHNS7VGCYUI4GAELW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2ZW5FKJITVHNS7VGCYUI4GAELW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2ZW5FKJITVHNS7VGCYUI4GAELW/action/storage_attestation","attest_author":"https://pith.science/pith/2ZW5FKJITVHNS7VGCYUI4GAELW/action/author_attestation","sign_citation":"https://pith.science/pith/2ZW5FKJITVHNS7VGCYUI4GAELW/action/citation_signature","submit_replication":"https://pith.science/pith/2ZW5FKJITVHNS7VGCYUI4GAELW/action/replication_record"}},"created_at":"2026-05-18T01:18:57.208962+00:00","updated_at":"2026-05-18T01:18:57.208962+00:00"}