{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DKS2WKZFRUGBAXPJJWKLXHUJSW","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":"d44130f3aff958b2377b704947f74ef54ad2ce07b2404ae4577aa7d043d58e39","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-11-12T14:09:49Z","title_canon_sha256":"eb52afcba8e7df2717665464dc54dc0c87df03584ff390a02b51cb0640173fae"},"schema_version":"1.0","source":{"id":"1811.04734","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.04734","created_at":"2026-05-17T23:46:45Z"},{"alias_kind":"arxiv_version","alias_value":"1811.04734v3","created_at":"2026-05-17T23:46:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.04734","created_at":"2026-05-17T23:46:45Z"},{"alias_kind":"pith_short_12","alias_value":"DKS2WKZFRUGB","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DKS2WKZFRUGBAXPJ","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DKS2WKZF","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:237895cd3788b286f1b9deb81aea64eaec0457fb881aef7917e9282974b1a840","target":"graph","created_at":"2026-05-17T23:46:45Z","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":"Shannon's mutual information of a random multiple antenna and multipath channel is studied in the general case where the channel impulse response is an ergodic and stationary process which is assumed to be available at the receiver. From this viewpoint, the channel is represented by an ergodic self-adjoint block-Jacobi operator, which is close in many aspects to a block version of a random Schr\\\"odinger operator. The mutual information is then related to the so-called density of states of this operator. In this paper, it is shown that under the weakest assumptions on the channel, the mutual in","authors_text":"Adrien Hardy, Shlomo Shamai, Walid Hachem","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-11-12T14:09:49Z","title":"Mutual Information of Wireless Channels and Block-Jacobi Ergodic Operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.04734","kind":"arxiv","version":3},"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:a05a17c7bba3b1bbd52a00523528fe5bb545c4b9c46687d63ec0918c8915304d","target":"record","created_at":"2026-05-17T23:46:45Z","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":"d44130f3aff958b2377b704947f74ef54ad2ce07b2404ae4577aa7d043d58e39","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-11-12T14:09:49Z","title_canon_sha256":"eb52afcba8e7df2717665464dc54dc0c87df03584ff390a02b51cb0640173fae"},"schema_version":"1.0","source":{"id":"1811.04734","kind":"arxiv","version":3}},"canonical_sha256":"1aa5ab2b258d0c105de94d94bb9e8995aaca0a076f15602e458f7ca6214d9085","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1aa5ab2b258d0c105de94d94bb9e8995aaca0a076f15602e458f7ca6214d9085","first_computed_at":"2026-05-17T23:46:45.995369Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:46:45.995369Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ptWKpLjTVjwMwJkmQIt/HXUHz1/ujYVPbVd/A86AxgRllm8X7netC1wwCDt3HIczoKmpQHPGbfyfd3K0l8KQCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:46:45.995848Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.04734","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a05a17c7bba3b1bbd52a00523528fe5bb545c4b9c46687d63ec0918c8915304d","sha256:237895cd3788b286f1b9deb81aea64eaec0457fb881aef7917e9282974b1a840"],"state_sha256":"764521b85613f96372f13fafb06defffb77bd915d772604572cb2560126c308e"}