{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:46I4SV4UT6V5DDJ3SQ2OH3QYMK","short_pith_number":"pith:46I4SV4U","canonical_record":{"source":{"id":"1403.2081","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-03-09T17:24:57Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"389ab35e1a52836502deb9f45ed0d7cfbc8bf4ba13ecdd6e2d08e89b2feca05d","abstract_canon_sha256":"bd917ad9d89088aca2969bfc5a5ab6422d38d766a8c5ba4bafe5925ea6ca2c7a"},"schema_version":"1.0"},"canonical_sha256":"e791c957949fabd18d3b9434e3ee18628a8de51c0552dff47dd74403de6a662c","source":{"kind":"arxiv","id":"1403.2081","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2081","created_at":"2026-05-18T02:56:50Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2081v1","created_at":"2026-05-18T02:56:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2081","created_at":"2026-05-18T02:56:50Z"},{"alias_kind":"pith_short_12","alias_value":"46I4SV4UT6V5","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"46I4SV4UT6V5DDJ3","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"46I4SV4U","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:46I4SV4UT6V5DDJ3SQ2OH3QYMK","target":"record","payload":{"canonical_record":{"source":{"id":"1403.2081","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-03-09T17:24:57Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"389ab35e1a52836502deb9f45ed0d7cfbc8bf4ba13ecdd6e2d08e89b2feca05d","abstract_canon_sha256":"bd917ad9d89088aca2969bfc5a5ab6422d38d766a8c5ba4bafe5925ea6ca2c7a"},"schema_version":"1.0"},"canonical_sha256":"e791c957949fabd18d3b9434e3ee18628a8de51c0552dff47dd74403de6a662c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:50.908797Z","signature_b64":"w4FyeQCJr45VjrPKELe8vJO4WFLCA41jdLvFrz1ypxLpZta3jVec8n9nT01lNWePMU6u7MDyp5Tp3XPZVI1jDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e791c957949fabd18d3b9434e3ee18628a8de51c0552dff47dd74403de6a662c","last_reissued_at":"2026-05-18T02:56:50.908348Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:50.908348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.2081","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":"2026-05-18T02:56:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0w6siCe41DCyz6Km2RhWucGbZZStud9tgLL8v0IslhpBElZ72VdIWJZaz1RYbW3SwlFUEHEgHNhxyPxFP403Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T06:05:25.524859Z"},"content_sha256":"de207959fe473fcf9a41df875d6c1c892b53ac0be48e8a51185dae0eef24a787","schema_version":"1.0","event_id":"sha256:de207959fe473fcf9a41df875d6c1c892b53ac0be48e8a51185dae0eef24a787"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:46I4SV4UT6V5DDJ3SQ2OH3QYMK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Diversity of Linear Transceivers in MIMO AF Half-duplex Relaying Channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Changick Song, Cong Ling","submitted_at":"2014-03-09T17:24:57Z","abstract_excerpt":"Linear transceiving schemes between the relay and the destination have recently attracted much interest in MIMO amplify-and-forward (AF) relaying systems due to low implementation complexity. In this paper, we provide comprehensive analysis on the diversity order of the linear zero-forcing (ZF) and minimum mean squared error (MMSE) transceivers. Firstly, we obtain a compact closed-form expression for the diversity-multiplexing tradeoff (DMT) through tight upper and lower bounds. While our DMT analysis accurately predicts the performance of the ZF transceivers, it is observed that the MMSE tran"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2081","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":"2026-05-18T02:56:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4FEQOcPE+ssYB1426JTHTrxtipeaL4kvZv4wfV7uzxfzgbNyOE6K2kPT2AEFubqcn1PxaXXMlUNtoygEihOfDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T06:05:25.525599Z"},"content_sha256":"592e4ca98488f907968e7dcb36b1a89914e6a2dc675f8e1401b9110b2d857978","schema_version":"1.0","event_id":"sha256:592e4ca98488f907968e7dcb36b1a89914e6a2dc675f8e1401b9110b2d857978"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/46I4SV4UT6V5DDJ3SQ2OH3QYMK/bundle.json","state_url":"https://pith.science/pith/46I4SV4UT6V5DDJ3SQ2OH3QYMK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/46I4SV4UT6V5DDJ3SQ2OH3QYMK/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":"2026-06-06T06:05:25Z","links":{"resolver":"https://pith.science/pith/46I4SV4UT6V5DDJ3SQ2OH3QYMK","bundle":"https://pith.science/pith/46I4SV4UT6V5DDJ3SQ2OH3QYMK/bundle.json","state":"https://pith.science/pith/46I4SV4UT6V5DDJ3SQ2OH3QYMK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/46I4SV4UT6V5DDJ3SQ2OH3QYMK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:46I4SV4UT6V5DDJ3SQ2OH3QYMK","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":"bd917ad9d89088aca2969bfc5a5ab6422d38d766a8c5ba4bafe5925ea6ca2c7a","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-03-09T17:24:57Z","title_canon_sha256":"389ab35e1a52836502deb9f45ed0d7cfbc8bf4ba13ecdd6e2d08e89b2feca05d"},"schema_version":"1.0","source":{"id":"1403.2081","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2081","created_at":"2026-05-18T02:56:50Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2081v1","created_at":"2026-05-18T02:56:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2081","created_at":"2026-05-18T02:56:50Z"},{"alias_kind":"pith_short_12","alias_value":"46I4SV4UT6V5","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"46I4SV4UT6V5DDJ3","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"46I4SV4U","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:592e4ca98488f907968e7dcb36b1a89914e6a2dc675f8e1401b9110b2d857978","target":"graph","created_at":"2026-05-18T02:56:50Z","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":"Linear transceiving schemes between the relay and the destination have recently attracted much interest in MIMO amplify-and-forward (AF) relaying systems due to low implementation complexity. In this paper, we provide comprehensive analysis on the diversity order of the linear zero-forcing (ZF) and minimum mean squared error (MMSE) transceivers. Firstly, we obtain a compact closed-form expression for the diversity-multiplexing tradeoff (DMT) through tight upper and lower bounds. While our DMT analysis accurately predicts the performance of the ZF transceivers, it is observed that the MMSE tran","authors_text":"Changick Song, Cong Ling","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-03-09T17:24:57Z","title":"Diversity of Linear Transceivers in MIMO AF Half-duplex Relaying Channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2081","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:de207959fe473fcf9a41df875d6c1c892b53ac0be48e8a51185dae0eef24a787","target":"record","created_at":"2026-05-18T02:56:50Z","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":"bd917ad9d89088aca2969bfc5a5ab6422d38d766a8c5ba4bafe5925ea6ca2c7a","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-03-09T17:24:57Z","title_canon_sha256":"389ab35e1a52836502deb9f45ed0d7cfbc8bf4ba13ecdd6e2d08e89b2feca05d"},"schema_version":"1.0","source":{"id":"1403.2081","kind":"arxiv","version":1}},"canonical_sha256":"e791c957949fabd18d3b9434e3ee18628a8de51c0552dff47dd74403de6a662c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e791c957949fabd18d3b9434e3ee18628a8de51c0552dff47dd74403de6a662c","first_computed_at":"2026-05-18T02:56:50.908348Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:50.908348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w4FyeQCJr45VjrPKELe8vJO4WFLCA41jdLvFrz1ypxLpZta3jVec8n9nT01lNWePMU6u7MDyp5Tp3XPZVI1jDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:50.908797Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.2081","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de207959fe473fcf9a41df875d6c1c892b53ac0be48e8a51185dae0eef24a787","sha256:592e4ca98488f907968e7dcb36b1a89914e6a2dc675f8e1401b9110b2d857978"],"state_sha256":"3a22215f73ff69c67ceb61a5bcb967d438dbfa29fa61a87315325a4649fca02b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xQuADGXk43D4cFaIA9EYpJNUt0ZZCJERfPXlTQwTJie5pS+6dgFRurrAZQ/wWLOWNno/xFbFmOyU5FVd0Zt4Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T06:05:25.530757Z","bundle_sha256":"0ee017781c4b30f1c60b7465ff79ade16f00e13d31a173e48228f1ac81466fde"}}