{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:7NC32I6KH7NOEBW266AZWIWI7A","short_pith_number":"pith:7NC32I6K","schema_version":"1.0","canonical_sha256":"fb45bd23ca3fdae206daf7819b22c8f81b55796926a553c9e7ba573598ad171f","source":{"kind":"arxiv","id":"1406.7557","version":1},"attestation_state":"computed","paper":{"title":"Weighted Fair Multicast Multigroup Beamforming under Per-antenna Power Constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Bjorn Ottersten, Dimitrios Christopoulos, Symeon Chatzinotas","submitted_at":"2014-06-29T20:14:10Z","abstract_excerpt":"A multi-antenna transmitter that conveys independent sets of common data to distinct groups of users is considered. This model is known as physical layer multicasting to multiple co-channel groups. In this context, the practical constraint of a maximum permitted power level radiated by each antenna is addressed. The per-antenna power constrained system is optimized in a maximum fairness sense with respect to predetermined quality of service weights. In other words, the worst scaled user is boosted by maximizing its weighted signal-to-interference plus noise ratio. A detailed solution to tackle"},"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":"1406.7557","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-06-29T20:14:10Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"51bb0291bc3d7ca78362e9c8965cb3436e8f604aeab77a6c6fd9f98903f9d19d","abstract_canon_sha256":"b1354ed1a812e6faf8fb1ef877569811acd64897aabd3cfeac5209ac182015f8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:45.326159Z","signature_b64":"Xjyd+fIBUTFPimqe/eW6uc1n3Nb+WYd/ZRYhfFSvO7v0DEk9dZbFryJcZ9380TcWqcwzCnq1vPr6HY4QhRJFAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb45bd23ca3fdae206daf7819b22c8f81b55796926a553c9e7ba573598ad171f","last_reissued_at":"2026-05-18T01:42:45.325645Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:45.325645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Weighted Fair Multicast Multigroup Beamforming under Per-antenna Power Constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Bjorn Ottersten, Dimitrios Christopoulos, Symeon Chatzinotas","submitted_at":"2014-06-29T20:14:10Z","abstract_excerpt":"A multi-antenna transmitter that conveys independent sets of common data to distinct groups of users is considered. This model is known as physical layer multicasting to multiple co-channel groups. In this context, the practical constraint of a maximum permitted power level radiated by each antenna is addressed. The per-antenna power constrained system is optimized in a maximum fairness sense with respect to predetermined quality of service weights. In other words, the worst scaled user is boosted by maximizing its weighted signal-to-interference plus noise ratio. A detailed solution to tackle"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.7557","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":"1406.7557","created_at":"2026-05-18T01:42:45.325740+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.7557v1","created_at":"2026-05-18T01:42:45.325740+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.7557","created_at":"2026-05-18T01:42:45.325740+00:00"},{"alias_kind":"pith_short_12","alias_value":"7NC32I6KH7NO","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_16","alias_value":"7NC32I6KH7NOEBW2","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_8","alias_value":"7NC32I6K","created_at":"2026-05-18T12:28:19.803747+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/7NC32I6KH7NOEBW266AZWIWI7A","json":"https://pith.science/pith/7NC32I6KH7NOEBW266AZWIWI7A.json","graph_json":"https://pith.science/api/pith-number/7NC32I6KH7NOEBW266AZWIWI7A/graph.json","events_json":"https://pith.science/api/pith-number/7NC32I6KH7NOEBW266AZWIWI7A/events.json","paper":"https://pith.science/paper/7NC32I6K"},"agent_actions":{"view_html":"https://pith.science/pith/7NC32I6KH7NOEBW266AZWIWI7A","download_json":"https://pith.science/pith/7NC32I6KH7NOEBW266AZWIWI7A.json","view_paper":"https://pith.science/paper/7NC32I6K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.7557&json=true","fetch_graph":"https://pith.science/api/pith-number/7NC32I6KH7NOEBW266AZWIWI7A/graph.json","fetch_events":"https://pith.science/api/pith-number/7NC32I6KH7NOEBW266AZWIWI7A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7NC32I6KH7NOEBW266AZWIWI7A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7NC32I6KH7NOEBW266AZWIWI7A/action/storage_attestation","attest_author":"https://pith.science/pith/7NC32I6KH7NOEBW266AZWIWI7A/action/author_attestation","sign_citation":"https://pith.science/pith/7NC32I6KH7NOEBW266AZWIWI7A/action/citation_signature","submit_replication":"https://pith.science/pith/7NC32I6KH7NOEBW266AZWIWI7A/action/replication_record"}},"created_at":"2026-05-18T01:42:45.325740+00:00","updated_at":"2026-05-18T01:42:45.325740+00:00"}