{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:TBNIVDCWWKPXOE2XS7CA2TBKS2","short_pith_number":"pith:TBNIVDCW","canonical_record":{"source":{"id":"1609.07978","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-09-26T14:18:26Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"b8ff823c30b0156ffa68a385c697bb58bf038de78a936e7fbce8197e0971142c","abstract_canon_sha256":"fa30516e145c043ff463892fe23ba9146afa531333d67068a909cf2c4820d913"},"schema_version":"1.0"},"canonical_sha256":"985a8a8c56b29f77135797c40d4c2a96b6a59e5fe7430d6421196c46bf419f63","source":{"kind":"arxiv","id":"1609.07978","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.07978","created_at":"2026-05-18T01:03:54Z"},{"alias_kind":"arxiv_version","alias_value":"1609.07978v1","created_at":"2026-05-18T01:03:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.07978","created_at":"2026-05-18T01:03:54Z"},{"alias_kind":"pith_short_12","alias_value":"TBNIVDCWWKPX","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TBNIVDCWWKPXOE2X","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TBNIVDCW","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:TBNIVDCWWKPXOE2XS7CA2TBKS2","target":"record","payload":{"canonical_record":{"source":{"id":"1609.07978","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-09-26T14:18:26Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"b8ff823c30b0156ffa68a385c697bb58bf038de78a936e7fbce8197e0971142c","abstract_canon_sha256":"fa30516e145c043ff463892fe23ba9146afa531333d67068a909cf2c4820d913"},"schema_version":"1.0"},"canonical_sha256":"985a8a8c56b29f77135797c40d4c2a96b6a59e5fe7430d6421196c46bf419f63","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:54.766425Z","signature_b64":"zfPjcx8UB8w0rAJfpkTRwU8Vsawkw3/41z4A8nFzIDDOZiO6tsuCRbUjwNYS7HrFjVm3jqqQvjbGmsk0V5JfCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"985a8a8c56b29f77135797c40d4c2a96b6a59e5fe7430d6421196c46bf419f63","last_reissued_at":"2026-05-18T01:03:54.765693Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:54.765693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.07978","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:03:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4+qtZCe89BNM6A2KFur7EN1bG0W7vUd/9Bk/pBM863U90CJ6hFTyim1xH6MvCD/6OmIIWXLv3Og0HwoVD1M9Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:15:35.263469Z"},"content_sha256":"09d0f6a7c39aba61f0b9f7d04b4550624b5ad0a60f15085e9d1e5e2a69d127f3","schema_version":"1.0","event_id":"sha256:09d0f6a7c39aba61f0b9f7d04b4550624b5ad0a60f15085e9d1e5e2a69d127f3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:TBNIVDCWWKPXOE2XS7CA2TBKS2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Antenna Selection for MIMO-NOMA Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Branka Vucetic, He Chen, Yonghui Li, Yuehua Yu, Zhiguo Ding","submitted_at":"2016-09-26T14:18:26Z","abstract_excerpt":"This paper considers the joint antenna selection (AS) problem for a classical two-user non-orthogonal multiple access (NOMA) network where both the base station and users are equipped with multiple antennas. Since the exhaustive-search-based optimal AS scheme is computationally prohibitive when the number of antennas is large, two computationally efficient joint AS algorithms, namely max-min-max AS (AIA-AS) and max-max-max AS (A$^3$-AS), are proposed to maximize the system sum-rate. The asymptotic closed-form expressions for the average sum-rates for both AIA-AS and A$^3$-AS are derived in the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.07978","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:03:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m5r4vqdTgff4bvSb193+dcGSAS8Bb4c6x3Jq1OBcuBlnqnI2cTbA4wPZxndhSiqvBoZ9Ehki9U/t7pMmlOsoBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:15:35.263856Z"},"content_sha256":"834cb4cc12f1c12b8d7604324d2d9c4caa908e94a70773a38186007de2d9df74","schema_version":"1.0","event_id":"sha256:834cb4cc12f1c12b8d7604324d2d9c4caa908e94a70773a38186007de2d9df74"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TBNIVDCWWKPXOE2XS7CA2TBKS2/bundle.json","state_url":"https://pith.science/pith/TBNIVDCWWKPXOE2XS7CA2TBKS2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TBNIVDCWWKPXOE2XS7CA2TBKS2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-25T23:15:35Z","links":{"resolver":"https://pith.science/pith/TBNIVDCWWKPXOE2XS7CA2TBKS2","bundle":"https://pith.science/pith/TBNIVDCWWKPXOE2XS7CA2TBKS2/bundle.json","state":"https://pith.science/pith/TBNIVDCWWKPXOE2XS7CA2TBKS2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TBNIVDCWWKPXOE2XS7CA2TBKS2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TBNIVDCWWKPXOE2XS7CA2TBKS2","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":"fa30516e145c043ff463892fe23ba9146afa531333d67068a909cf2c4820d913","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-09-26T14:18:26Z","title_canon_sha256":"b8ff823c30b0156ffa68a385c697bb58bf038de78a936e7fbce8197e0971142c"},"schema_version":"1.0","source":{"id":"1609.07978","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.07978","created_at":"2026-05-18T01:03:54Z"},{"alias_kind":"arxiv_version","alias_value":"1609.07978v1","created_at":"2026-05-18T01:03:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.07978","created_at":"2026-05-18T01:03:54Z"},{"alias_kind":"pith_short_12","alias_value":"TBNIVDCWWKPX","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TBNIVDCWWKPXOE2X","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TBNIVDCW","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:834cb4cc12f1c12b8d7604324d2d9c4caa908e94a70773a38186007de2d9df74","target":"graph","created_at":"2026-05-18T01:03:54Z","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":"This paper considers the joint antenna selection (AS) problem for a classical two-user non-orthogonal multiple access (NOMA) network where both the base station and users are equipped with multiple antennas. Since the exhaustive-search-based optimal AS scheme is computationally prohibitive when the number of antennas is large, two computationally efficient joint AS algorithms, namely max-min-max AS (AIA-AS) and max-max-max AS (A$^3$-AS), are proposed to maximize the system sum-rate. The asymptotic closed-form expressions for the average sum-rates for both AIA-AS and A$^3$-AS are derived in the","authors_text":"Branka Vucetic, He Chen, Yonghui Li, Yuehua Yu, Zhiguo Ding","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-09-26T14:18:26Z","title":"Antenna Selection for MIMO-NOMA Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.07978","kind":"arxiv","version":1},"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":"sha256:09d0f6a7c39aba61f0b9f7d04b4550624b5ad0a60f15085e9d1e5e2a69d127f3","target":"record","created_at":"2026-05-18T01:03:54Z","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":"fa30516e145c043ff463892fe23ba9146afa531333d67068a909cf2c4820d913","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-09-26T14:18:26Z","title_canon_sha256":"b8ff823c30b0156ffa68a385c697bb58bf038de78a936e7fbce8197e0971142c"},"schema_version":"1.0","source":{"id":"1609.07978","kind":"arxiv","version":1}},"canonical_sha256":"985a8a8c56b29f77135797c40d4c2a96b6a59e5fe7430d6421196c46bf419f63","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"985a8a8c56b29f77135797c40d4c2a96b6a59e5fe7430d6421196c46bf419f63","first_computed_at":"2026-05-18T01:03:54.765693Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:54.765693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zfPjcx8UB8w0rAJfpkTRwU8Vsawkw3/41z4A8nFzIDDOZiO6tsuCRbUjwNYS7HrFjVm3jqqQvjbGmsk0V5JfCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:54.766425Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.07978","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:09d0f6a7c39aba61f0b9f7d04b4550624b5ad0a60f15085e9d1e5e2a69d127f3","sha256:834cb4cc12f1c12b8d7604324d2d9c4caa908e94a70773a38186007de2d9df74"],"state_sha256":"7135cf9057baa7bd03e7604708e2317e0e26d6a4513f28ce220bcff075e3ee14"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5o5fw0fr/Qpy7nwSCDgQJjxCWM9vx/j8oWIbSfZ67ABcTphIUiVFI8K5QgNjnzDg0LARK5L3Z9YqCYoGkZqCBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T23:15:35.267627Z","bundle_sha256":"350c21c25cfaed6ca05f432e732c1582684a4b9f10a11130f55c5a4ef13142c7"}}