{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:4F56FUH3QHBHUHZ47S5BIAGBCM","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":"caa5748faa06d81f0fb5229fa0c175bb8c0c0ec70871a61ea2daec2fbdefe0ad","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-02-11T13:58:25Z","title_canon_sha256":"27583e47920d18db6b82d8cdba56515b32d7c78f044430ca59a1ed952304d825"},"schema_version":"1.0","source":{"id":"1302.2481","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.2481","created_at":"2026-05-18T03:34:01Z"},{"alias_kind":"arxiv_version","alias_value":"1302.2481v1","created_at":"2026-05-18T03:34:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.2481","created_at":"2026-05-18T03:34:01Z"},{"alias_kind":"pith_short_12","alias_value":"4F56FUH3QHBH","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"4F56FUH3QHBHUHZ4","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"4F56FUH3","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:37e37cf63a869bc81ed6ff7c6fd5071ff3be34405055635960a6e9ab783a1a05","target":"graph","created_at":"2026-05-18T03:34:01Z","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":"We derive a lower bound on the capacity pre-log of a temporally correlated Rayleigh block-fading multiple-input multiple-output (MIMO) channel with T transmit antennas and R receive antennas in the noncoherent setting (no a priori channel knowledge at the transmitter and the receiver). In this model, the fading process changes independently across blocks of length L and is temporally correlated within each block for each transmit-receive antenna pair, with a given rank Q of the corresponding correlation matrix. Our result implies that for almost all choices of the coloring matrix that models t","authors_text":"Erwin Riegler, Franz Hlawatsch, Giuseppe Durisi, G\\\"unther Koliander, Veniamin I. Morgenshtern","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-02-11T13:58:25Z","title":"A Lower Bound on the Noncoherent Capacity Pre-log for the MIMO Channel with Temporally Correlated Fading"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.2481","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":"sha256:7fda54e1a09e6af4c9d78f7051c2850b74d2c9dda2ba11ff64fec1008c4f60ea","target":"record","created_at":"2026-05-18T03:34:01Z","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":"caa5748faa06d81f0fb5229fa0c175bb8c0c0ec70871a61ea2daec2fbdefe0ad","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-02-11T13:58:25Z","title_canon_sha256":"27583e47920d18db6b82d8cdba56515b32d7c78f044430ca59a1ed952304d825"},"schema_version":"1.0","source":{"id":"1302.2481","kind":"arxiv","version":1}},"canonical_sha256":"e17be2d0fb81c27a1f3cfcba1400c1130a8f522f441c240357c8229b8db44672","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e17be2d0fb81c27a1f3cfcba1400c1130a8f522f441c240357c8229b8db44672","first_computed_at":"2026-05-18T03:34:01.009560Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:34:01.009560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+bD+rTCTP1yfPSebQ9e59LxURCeLIWQQkGvbR3QgeOqDRX1AT+BS87zICqOkrkO72gBb4lN4Az9RF2C7T5EgBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:34:01.010016Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.2481","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7fda54e1a09e6af4c9d78f7051c2850b74d2c9dda2ba11ff64fec1008c4f60ea","sha256:37e37cf63a869bc81ed6ff7c6fd5071ff3be34405055635960a6e9ab783a1a05"],"state_sha256":"1be9118f681d9f1f8d11c7081ba9f1e0b21391c09550311041a8721d9134ed0b"}