{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:B4Y3AYH4QPK5RYZIDWJ5C3IIFI","short_pith_number":"pith:B4Y3AYH4","canonical_record":{"source":{"id":"1406.7315","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-06-27T20:56:45Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"8614c8081c55a79abe23a2077c92e4128fa403ff861f16e1dfceefecd0718c66","abstract_canon_sha256":"ede84f34cb9b0d536ba65fbc0061d8692a49678545710830e230182ec9cd970f"},"schema_version":"1.0"},"canonical_sha256":"0f31b060fc83d5d8e3281d93d16d082a3ffae8771fb5dda110da78f935ff4488","source":{"kind":"arxiv","id":"1406.7315","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.7315","created_at":"2026-05-18T00:58:41Z"},{"alias_kind":"arxiv_version","alias_value":"1406.7315v1","created_at":"2026-05-18T00:58:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.7315","created_at":"2026-05-18T00:58:41Z"},{"alias_kind":"pith_short_12","alias_value":"B4Y3AYH4QPK5","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"B4Y3AYH4QPK5RYZI","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"B4Y3AYH4","created_at":"2026-05-18T12:28:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:B4Y3AYH4QPK5RYZIDWJ5C3IIFI","target":"record","payload":{"canonical_record":{"source":{"id":"1406.7315","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-06-27T20:56:45Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"8614c8081c55a79abe23a2077c92e4128fa403ff861f16e1dfceefecd0718c66","abstract_canon_sha256":"ede84f34cb9b0d536ba65fbc0061d8692a49678545710830e230182ec9cd970f"},"schema_version":"1.0"},"canonical_sha256":"0f31b060fc83d5d8e3281d93d16d082a3ffae8771fb5dda110da78f935ff4488","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:41.305644Z","signature_b64":"Qo+454nWoEqLdOTqEThYT6TZSZmJp0JgUB7pujQpZWH2swUfP/y0OfCNnwjf9x5BDh4GAubowk23MhQq8nVPAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f31b060fc83d5d8e3281d93d16d082a3ffae8771fb5dda110da78f935ff4488","last_reissued_at":"2026-05-18T00:58:41.304928Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:41.304928Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.7315","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":"2026-05-18T00:58:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jjKBuy7cbYSvNpQ4H8XCn70pEtQ7SY3VI/J/q506543b4KqrY1O6GZ8A0e5c55mU4Exgu5r8LUd/roEyCTQZDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T13:02:02.031191Z"},"content_sha256":"53803d27a44bc689ff8d938da336f8b886e6b07aca0fa5d88644e3c9c5dca045","schema_version":"1.0","event_id":"sha256:53803d27a44bc689ff8d938da336f8b886e6b07aca0fa5d88644e3c9c5dca045"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:B4Y3AYH4QPK5RYZIDWJ5C3IIFI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Diversity versus Multiplexing at Finite Blocklength","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Giuseppe Durisi, Johan \\\"Ostman, Tobias Koch, Wei Yang","submitted_at":"2014-06-27T20:56:45Z","abstract_excerpt":"A finite blocklenth analysis of the diversity-multiplexing tradeoff is presented, based on nonasymptotic bounds on the maximum channel coding rate of multiple-antenna block-memoryless Rayleigh-fading channels.The bounds in this paper allow one to numerically assess for which packet size, number of antennas, and degree of channel selectivity, diversity-exploiting schemes are close to optimal, and when instead the available spatial degrees of freedom should be used to provide spatial multiplexing. This finite blocklength view on the diversity-multiplexing tradeoff provides insights on the design"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.7315","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":"2026-05-18T00:58:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LYtkMEYI3bBqL4twj1cd7LEb49vuZd+r29hps4bJQSV5xCGN2cHTYUw24/EqVbk3dzOnqoyRx+IxFXxV5IBwBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T13:02:02.031553Z"},"content_sha256":"98e7ed30b341c7fa2b6e64b9f7793ac90d00aa300bc43f22210a342fe380fcbd","schema_version":"1.0","event_id":"sha256:98e7ed30b341c7fa2b6e64b9f7793ac90d00aa300bc43f22210a342fe380fcbd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B4Y3AYH4QPK5RYZIDWJ5C3IIFI/bundle.json","state_url":"https://pith.science/pith/B4Y3AYH4QPK5RYZIDWJ5C3IIFI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B4Y3AYH4QPK5RYZIDWJ5C3IIFI/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":"2026-06-05T13:02:02Z","links":{"resolver":"https://pith.science/pith/B4Y3AYH4QPK5RYZIDWJ5C3IIFI","bundle":"https://pith.science/pith/B4Y3AYH4QPK5RYZIDWJ5C3IIFI/bundle.json","state":"https://pith.science/pith/B4Y3AYH4QPK5RYZIDWJ5C3IIFI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B4Y3AYH4QPK5RYZIDWJ5C3IIFI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:B4Y3AYH4QPK5RYZIDWJ5C3IIFI","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":"ede84f34cb9b0d536ba65fbc0061d8692a49678545710830e230182ec9cd970f","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-06-27T20:56:45Z","title_canon_sha256":"8614c8081c55a79abe23a2077c92e4128fa403ff861f16e1dfceefecd0718c66"},"schema_version":"1.0","source":{"id":"1406.7315","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.7315","created_at":"2026-05-18T00:58:41Z"},{"alias_kind":"arxiv_version","alias_value":"1406.7315v1","created_at":"2026-05-18T00:58:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.7315","created_at":"2026-05-18T00:58:41Z"},{"alias_kind":"pith_short_12","alias_value":"B4Y3AYH4QPK5","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"B4Y3AYH4QPK5RYZI","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"B4Y3AYH4","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:98e7ed30b341c7fa2b6e64b9f7793ac90d00aa300bc43f22210a342fe380fcbd","target":"graph","created_at":"2026-05-18T00:58:41Z","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":"A finite blocklenth analysis of the diversity-multiplexing tradeoff is presented, based on nonasymptotic bounds on the maximum channel coding rate of multiple-antenna block-memoryless Rayleigh-fading channels.The bounds in this paper allow one to numerically assess for which packet size, number of antennas, and degree of channel selectivity, diversity-exploiting schemes are close to optimal, and when instead the available spatial degrees of freedom should be used to provide spatial multiplexing. This finite blocklength view on the diversity-multiplexing tradeoff provides insights on the design","authors_text":"Giuseppe Durisi, Johan \\\"Ostman, Tobias Koch, Wei Yang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-06-27T20:56:45Z","title":"Diversity versus Multiplexing at Finite Blocklength"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.7315","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":"sha256:53803d27a44bc689ff8d938da336f8b886e6b07aca0fa5d88644e3c9c5dca045","target":"record","created_at":"2026-05-18T00:58:41Z","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":"ede84f34cb9b0d536ba65fbc0061d8692a49678545710830e230182ec9cd970f","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-06-27T20:56:45Z","title_canon_sha256":"8614c8081c55a79abe23a2077c92e4128fa403ff861f16e1dfceefecd0718c66"},"schema_version":"1.0","source":{"id":"1406.7315","kind":"arxiv","version":1}},"canonical_sha256":"0f31b060fc83d5d8e3281d93d16d082a3ffae8771fb5dda110da78f935ff4488","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f31b060fc83d5d8e3281d93d16d082a3ffae8771fb5dda110da78f935ff4488","first_computed_at":"2026-05-18T00:58:41.304928Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:41.304928Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qo+454nWoEqLdOTqEThYT6TZSZmJp0JgUB7pujQpZWH2swUfP/y0OfCNnwjf9x5BDh4GAubowk23MhQq8nVPAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:41.305644Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.7315","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53803d27a44bc689ff8d938da336f8b886e6b07aca0fa5d88644e3c9c5dca045","sha256:98e7ed30b341c7fa2b6e64b9f7793ac90d00aa300bc43f22210a342fe380fcbd"],"state_sha256":"1ceee6c522e68356abb8390a0edbf031c61f46bd814942ba37fc580d02e02b4c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5VJ607e5EZfk3o3kFLlTy5vKZBdfkK3a+V1mtX1diALhNDK2bXTGo6/cjc9xDWrYJCvEwPBL3cHYxA/qpGHZBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T13:02:02.033507Z","bundle_sha256":"1af00d4e3614519f1475fba0b5a32cd040d431c43d706d77d65b4d949b9a4d38"}}