{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:7QAKMEZXHH5QH22OBUALZMBQKP","short_pith_number":"pith:7QAKMEZX","canonical_record":{"source":{"id":"1102.1462","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-02-07T23:08:04Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"e5ac0bcceabbb0319d2eb60bf87417825d001191bb5ae95795338ad268bd3292","abstract_canon_sha256":"269fcd9339a698ce7820002c0799649168515322fa49dda0024b7eb52c62b851"},"schema_version":"1.0"},"canonical_sha256":"fc00a6133739fb03eb4e0d00bcb03053d112cd22433285bb240c7999375f6dea","source":{"kind":"arxiv","id":"1102.1462","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.1462","created_at":"2026-05-18T03:43:52Z"},{"alias_kind":"arxiv_version","alias_value":"1102.1462v4","created_at":"2026-05-18T03:43:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.1462","created_at":"2026-05-18T03:43:52Z"},{"alias_kind":"pith_short_12","alias_value":"7QAKMEZXHH5Q","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7QAKMEZXHH5QH22O","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7QAKMEZX","created_at":"2026-05-18T12:26:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:7QAKMEZXHH5QH22OBUALZMBQKP","target":"record","payload":{"canonical_record":{"source":{"id":"1102.1462","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-02-07T23:08:04Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"e5ac0bcceabbb0319d2eb60bf87417825d001191bb5ae95795338ad268bd3292","abstract_canon_sha256":"269fcd9339a698ce7820002c0799649168515322fa49dda0024b7eb52c62b851"},"schema_version":"1.0"},"canonical_sha256":"fc00a6133739fb03eb4e0d00bcb03053d112cd22433285bb240c7999375f6dea","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:43:52.987978Z","signature_b64":"V2aVRNN2wLfOsfh+sTzoYeOAf5XP/OIYT0p3H5hoQxYqIxPbB6j8jRXSZAsxPiEDF5QBKrZcfTV9MSsjUPEBCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc00a6133739fb03eb4e0d00bcb03053d112cd22433285bb240c7999375f6dea","last_reissued_at":"2026-05-18T03:43:52.987244Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:43:52.987244Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1102.1462","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:43:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q70lAa7I/UH9DRCOQSsKs9Egyq6+/ul7L4k/OYGAIk6yuSoLU6m7gEfv5/8T7Op3qeZYUXyYiYA/WmKwpbR+CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T00:28:30.655997Z"},"content_sha256":"59b27cb84cc341416b9f9d2ffeb1fceac6b674df661dfd927f67128e67bdc151","schema_version":"1.0","event_id":"sha256:59b27cb84cc341416b9f9d2ffeb1fceac6b674df661dfd927f67128e67bdc151"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:7QAKMEZXHH5QH22OBUALZMBQKP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Diversity of MMSE MIMO Receivers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Ahmed Hesham Mehana, Aria Nosratinia","submitted_at":"2011-02-07T23:08:04Z","abstract_excerpt":"In most MIMO systems, the family of waterfall error curves, calculated at different spectral efficiencies, are asymptotically parallel at high SNR. In other words, most MIMO systems exhibit a single diversity value for all fixed rates. The MIMO MMSE receiver does not follow this pattern and exhibits a varying diversity in its family of error curves. This work analyzes this interesting behavior of the MMSE MIMO receiver and produces the MMSE MIMO diversity at all rates. The diversity of the quasi-static flat-fading MIMO channel consisting of any arbitrary number of transmit and receive antennas"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1462","kind":"arxiv","version":4},"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":"2026-05-18T03:43:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jqyTIs0+jOmRhStbyfNiajnJFKE6+zIsPncPvrUviMCqb23B1Ju8P+RGPRNdoVjJ2tWEPgAs0abtxRMcCMs9Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T00:28:30.656338Z"},"content_sha256":"f432cfbe3c793d983c3f8a9c42b4a2185b06defbfc2da7f45432a5589fea94a0","schema_version":"1.0","event_id":"sha256:f432cfbe3c793d983c3f8a9c42b4a2185b06defbfc2da7f45432a5589fea94a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7QAKMEZXHH5QH22OBUALZMBQKP/bundle.json","state_url":"https://pith.science/pith/7QAKMEZXHH5QH22OBUALZMBQKP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7QAKMEZXHH5QH22OBUALZMBQKP/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":"2026-06-27T00:28:30Z","links":{"resolver":"https://pith.science/pith/7QAKMEZXHH5QH22OBUALZMBQKP","bundle":"https://pith.science/pith/7QAKMEZXHH5QH22OBUALZMBQKP/bundle.json","state":"https://pith.science/pith/7QAKMEZXHH5QH22OBUALZMBQKP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7QAKMEZXHH5QH22OBUALZMBQKP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:7QAKMEZXHH5QH22OBUALZMBQKP","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":"269fcd9339a698ce7820002c0799649168515322fa49dda0024b7eb52c62b851","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-02-07T23:08:04Z","title_canon_sha256":"e5ac0bcceabbb0319d2eb60bf87417825d001191bb5ae95795338ad268bd3292"},"schema_version":"1.0","source":{"id":"1102.1462","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.1462","created_at":"2026-05-18T03:43:52Z"},{"alias_kind":"arxiv_version","alias_value":"1102.1462v4","created_at":"2026-05-18T03:43:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.1462","created_at":"2026-05-18T03:43:52Z"},{"alias_kind":"pith_short_12","alias_value":"7QAKMEZXHH5Q","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"7QAKMEZXHH5QH22O","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"7QAKMEZX","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:f432cfbe3c793d983c3f8a9c42b4a2185b06defbfc2da7f45432a5589fea94a0","target":"graph","created_at":"2026-05-18T03:43:52Z","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":"In most MIMO systems, the family of waterfall error curves, calculated at different spectral efficiencies, are asymptotically parallel at high SNR. In other words, most MIMO systems exhibit a single diversity value for all fixed rates. The MIMO MMSE receiver does not follow this pattern and exhibits a varying diversity in its family of error curves. This work analyzes this interesting behavior of the MMSE MIMO receiver and produces the MMSE MIMO diversity at all rates. The diversity of the quasi-static flat-fading MIMO channel consisting of any arbitrary number of transmit and receive antennas","authors_text":"Ahmed Hesham Mehana, Aria Nosratinia","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-02-07T23:08:04Z","title":"Diversity of MMSE MIMO Receivers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1462","kind":"arxiv","version":4},"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":"sha256:59b27cb84cc341416b9f9d2ffeb1fceac6b674df661dfd927f67128e67bdc151","target":"record","created_at":"2026-05-18T03:43:52Z","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":"269fcd9339a698ce7820002c0799649168515322fa49dda0024b7eb52c62b851","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-02-07T23:08:04Z","title_canon_sha256":"e5ac0bcceabbb0319d2eb60bf87417825d001191bb5ae95795338ad268bd3292"},"schema_version":"1.0","source":{"id":"1102.1462","kind":"arxiv","version":4}},"canonical_sha256":"fc00a6133739fb03eb4e0d00bcb03053d112cd22433285bb240c7999375f6dea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc00a6133739fb03eb4e0d00bcb03053d112cd22433285bb240c7999375f6dea","first_computed_at":"2026-05-18T03:43:52.987244Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:43:52.987244Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V2aVRNN2wLfOsfh+sTzoYeOAf5XP/OIYT0p3H5hoQxYqIxPbB6j8jRXSZAsxPiEDF5QBKrZcfTV9MSsjUPEBCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:43:52.987978Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.1462","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59b27cb84cc341416b9f9d2ffeb1fceac6b674df661dfd927f67128e67bdc151","sha256:f432cfbe3c793d983c3f8a9c42b4a2185b06defbfc2da7f45432a5589fea94a0"],"state_sha256":"1705cf3633c1efe9ddae2878d7723c548365602938c0d6ee1ec1d9d1c573de2a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xD1JTc5HOoQlvuf+iFM2tZ00Q5kWJIXAIrQ1dqb8fzlx1DgcrKsygySHubLai7k4kM6ic4yFS5h5bm/MDY4dDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T00:28:30.658127Z","bundle_sha256":"f914722202b6ea6e024193f65174f60f2ed37988a988382509964ad42248e648"}}