{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:TBJIS5ZDBBGYD6OMVKGVQ3GFEO","short_pith_number":"pith:TBJIS5ZD","canonical_record":{"source":{"id":"1103.2573","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-03-14T02:34:24Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"b2246763c158ec7d059c526ba3447153105dcb1102ee61a713fd18033cde6554","abstract_canon_sha256":"6cff1b9f229ecb625f9892009d31889a47ab2fe4692e51fdfd9562696871ab79"},"schema_version":"1.0"},"canonical_sha256":"9852897723084d81f9ccaa8d586cc5239f1b38ded0590b84510b8b6f7f6488c4","source":{"kind":"arxiv","id":"1103.2573","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.2573","created_at":"2026-05-18T00:58:19Z"},{"alias_kind":"arxiv_version","alias_value":"1103.2573v1","created_at":"2026-05-18T00:58:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.2573","created_at":"2026-05-18T00:58:19Z"},{"alias_kind":"pith_short_12","alias_value":"TBJIS5ZDBBGY","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TBJIS5ZDBBGYD6OM","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TBJIS5ZD","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:TBJIS5ZDBBGYD6OMVKGVQ3GFEO","target":"record","payload":{"canonical_record":{"source":{"id":"1103.2573","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-03-14T02:34:24Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"b2246763c158ec7d059c526ba3447153105dcb1102ee61a713fd18033cde6554","abstract_canon_sha256":"6cff1b9f229ecb625f9892009d31889a47ab2fe4692e51fdfd9562696871ab79"},"schema_version":"1.0"},"canonical_sha256":"9852897723084d81f9ccaa8d586cc5239f1b38ded0590b84510b8b6f7f6488c4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:19.019417Z","signature_b64":"PRrc14NEDzVdel7XVhjzXCxvRSFBWLHGJZhxd2lvCie7RuSyMbsE2GwpSSHqehqqaTJddX9JlWfvu7pYk8x5BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9852897723084d81f9ccaa8d586cc5239f1b38ded0590b84510b8b6f7f6488c4","last_reissued_at":"2026-05-18T00:58:19.018698Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:19.018698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1103.2573","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":"2026-05-18T00:58:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rT42SbyMGlX1lW5/bImAoVSt0J3T27wM+BJRuNSgRyM+HCWhQ6CoNqYN3Ol5vIKf+U94na3zfa5xzV2X33MWAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T11:37:26.734555Z"},"content_sha256":"578dfb9dae114caba6fd2fd19ccab7bcf3a657c2155098c1d9ca90c711237864","schema_version":"1.0","event_id":"sha256:578dfb9dae114caba6fd2fd19ccab7bcf3a657c2155098c1d9ca90c711237864"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:TBJIS5ZDBBGYD6OMVKGVQ3GFEO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimization of Fast-Decodable Full-Rate STBC with Non-Vanishing Determinants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Chau Yuen, Er Yang Zhang, Tian Peng Ren, Yong Liang Guan, Yue Zhou","submitted_at":"2011-03-14T02:34:24Z","abstract_excerpt":"Full-rate STBC (space-time block codes) with non-vanishing determinants achieve the optimal diversity-multiplexing tradeoff but incur high decoding complexity. To permit fast decoding, Sezginer, Sari and Biglieri proposed an STBC structure with special QR decomposition characteristics. In this paper, we adopt a simplified form of this fast-decodable code structure and present a new way to optimize the code analytically. We show that the signal constellation topology (such as QAM, APSK, or PSK) has a critical impact on the existence of non-vanishing determinants of the full-rate STBC. In partic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.2573","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":"2026-05-18T00:58:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nDHmKgqjyFtORIYkEz/CV2nxDSAVrHeTVBv+ti2OgDcwAY5kIbu77CLbNcz25iYgO1G92MZg74J+9KYMf64eCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T11:37:26.734905Z"},"content_sha256":"63f7cae6195ae168bae759e558df5440802fa7cee26f9edfe48bd6e027bb6813","schema_version":"1.0","event_id":"sha256:63f7cae6195ae168bae759e558df5440802fa7cee26f9edfe48bd6e027bb6813"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TBJIS5ZDBBGYD6OMVKGVQ3GFEO/bundle.json","state_url":"https://pith.science/pith/TBJIS5ZDBBGYD6OMVKGVQ3GFEO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TBJIS5ZDBBGYD6OMVKGVQ3GFEO/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":"2026-06-20T11:37:26Z","links":{"resolver":"https://pith.science/pith/TBJIS5ZDBBGYD6OMVKGVQ3GFEO","bundle":"https://pith.science/pith/TBJIS5ZDBBGYD6OMVKGVQ3GFEO/bundle.json","state":"https://pith.science/pith/TBJIS5ZDBBGYD6OMVKGVQ3GFEO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TBJIS5ZDBBGYD6OMVKGVQ3GFEO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:TBJIS5ZDBBGYD6OMVKGVQ3GFEO","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":"6cff1b9f229ecb625f9892009d31889a47ab2fe4692e51fdfd9562696871ab79","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-03-14T02:34:24Z","title_canon_sha256":"b2246763c158ec7d059c526ba3447153105dcb1102ee61a713fd18033cde6554"},"schema_version":"1.0","source":{"id":"1103.2573","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.2573","created_at":"2026-05-18T00:58:19Z"},{"alias_kind":"arxiv_version","alias_value":"1103.2573v1","created_at":"2026-05-18T00:58:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.2573","created_at":"2026-05-18T00:58:19Z"},{"alias_kind":"pith_short_12","alias_value":"TBJIS5ZDBBGY","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TBJIS5ZDBBGYD6OM","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TBJIS5ZD","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:63f7cae6195ae168bae759e558df5440802fa7cee26f9edfe48bd6e027bb6813","target":"graph","created_at":"2026-05-18T00:58:19Z","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":"Full-rate STBC (space-time block codes) with non-vanishing determinants achieve the optimal diversity-multiplexing tradeoff but incur high decoding complexity. To permit fast decoding, Sezginer, Sari and Biglieri proposed an STBC structure with special QR decomposition characteristics. In this paper, we adopt a simplified form of this fast-decodable code structure and present a new way to optimize the code analytically. We show that the signal constellation topology (such as QAM, APSK, or PSK) has a critical impact on the existence of non-vanishing determinants of the full-rate STBC. In partic","authors_text":"Chau Yuen, Er Yang Zhang, Tian Peng Ren, Yong Liang Guan, Yue Zhou","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-03-14T02:34:24Z","title":"Optimization of Fast-Decodable Full-Rate STBC with Non-Vanishing Determinants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.2573","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":"sha256:578dfb9dae114caba6fd2fd19ccab7bcf3a657c2155098c1d9ca90c711237864","target":"record","created_at":"2026-05-18T00:58:19Z","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":"6cff1b9f229ecb625f9892009d31889a47ab2fe4692e51fdfd9562696871ab79","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-03-14T02:34:24Z","title_canon_sha256":"b2246763c158ec7d059c526ba3447153105dcb1102ee61a713fd18033cde6554"},"schema_version":"1.0","source":{"id":"1103.2573","kind":"arxiv","version":1}},"canonical_sha256":"9852897723084d81f9ccaa8d586cc5239f1b38ded0590b84510b8b6f7f6488c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9852897723084d81f9ccaa8d586cc5239f1b38ded0590b84510b8b6f7f6488c4","first_computed_at":"2026-05-18T00:58:19.018698Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:19.018698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PRrc14NEDzVdel7XVhjzXCxvRSFBWLHGJZhxd2lvCie7RuSyMbsE2GwpSSHqehqqaTJddX9JlWfvu7pYk8x5BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:19.019417Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.2573","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:578dfb9dae114caba6fd2fd19ccab7bcf3a657c2155098c1d9ca90c711237864","sha256:63f7cae6195ae168bae759e558df5440802fa7cee26f9edfe48bd6e027bb6813"],"state_sha256":"e1fb3a36f87689039a15ed0f57b82f1c4a3f075a0fec2a863d566c8c4d1808ad"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VscMzxz64qgy8o7bFr6ImIvHhNn5GLw7tgNAhI6NqVLy6N7f6kkL3GNmWkYlSjGyngu9Fnn3GiCLmYMupjLRAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T11:37:26.736849Z","bundle_sha256":"5b0ea8ad44be4160e486851dc56c53d282ec714d8636823f23dab82ac97528a2"}}