{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:M4KZ6T7IRDABWQ2HF663NUF5OG","short_pith_number":"pith:M4KZ6T7I","schema_version":"1.0","canonical_sha256":"67159f4fe888c01b43472fbdb6d0bd719894f23f99d1a919dcd433384bd01687","source":{"kind":"arxiv","id":"cs/0501066","version":1},"attestation_state":"computed","paper":{"title":"The Noncoherent Rician Fading Channel -- Part I : Structure of the Capacity-Achieving Input","license":"","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"H. Vincent Poor, Mustafa Cenk Gursoy, Sergio Verdu","submitted_at":"2005-01-24T07:26:49Z","abstract_excerpt":"Transmission of information over a discrete-time memoryless Rician fading channel is considered where neither the receiver nor the transmitter knows the fading coefficients. First the structure of the capacity-achieving input signals is investigated when the input is constrained to have limited peakedness by imposing either a fourth moment or a peak constraint. When the input is subject to second and fourth moment limitations, it is shown that the capacity-achieving input amplitude distribution is discrete with a finite number of mass points in the low-power regime. A similar discrete structur"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"cs/0501066","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cs.IT","submitted_at":"2005-01-24T07:26:49Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"f008b663e5b7673f14e297db90997b1df03c6fab0a3ec697246ee7f17af17c5e","abstract_canon_sha256":"1b8907dc92739678da46f81e565405236315353ee237fe58e967c7ad5afa845b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:26.918635Z","signature_b64":"tQNquBuh/FfnfusGr/Nz899t6dChJE8rBD8P2vIe37kVIRHblITtOKdrjv2DBQe7jvuiahf0UHq2geluNZgLBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67159f4fe888c01b43472fbdb6d0bd719894f23f99d1a919dcd433384bd01687","last_reissued_at":"2026-05-18T00:58:26.917913Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:26.917913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Noncoherent Rician Fading Channel -- Part I : Structure of the Capacity-Achieving Input","license":"","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"H. Vincent Poor, Mustafa Cenk Gursoy, Sergio Verdu","submitted_at":"2005-01-24T07:26:49Z","abstract_excerpt":"Transmission of information over a discrete-time memoryless Rician fading channel is considered where neither the receiver nor the transmitter knows the fading coefficients. First the structure of the capacity-achieving input signals is investigated when the input is constrained to have limited peakedness by imposing either a fourth moment or a peak constraint. When the input is subject to second and fourth moment limitations, it is shown that the capacity-achieving input amplitude distribution is discrete with a finite number of mass points in the low-power regime. A similar discrete structur"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0501066","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"cs/0501066","created_at":"2026-05-18T00:58:26.918051+00:00"},{"alias_kind":"arxiv_version","alias_value":"cs/0501066v1","created_at":"2026-05-18T00:58:26.918051+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0501066","created_at":"2026-05-18T00:58:26.918051+00:00"},{"alias_kind":"pith_short_12","alias_value":"M4KZ6T7IRDAB","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_16","alias_value":"M4KZ6T7IRDABWQ2H","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_8","alias_value":"M4KZ6T7I","created_at":"2026-05-18T12:25:53.335082+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/M4KZ6T7IRDABWQ2HF663NUF5OG","json":"https://pith.science/pith/M4KZ6T7IRDABWQ2HF663NUF5OG.json","graph_json":"https://pith.science/api/pith-number/M4KZ6T7IRDABWQ2HF663NUF5OG/graph.json","events_json":"https://pith.science/api/pith-number/M4KZ6T7IRDABWQ2HF663NUF5OG/events.json","paper":"https://pith.science/paper/M4KZ6T7I"},"agent_actions":{"view_html":"https://pith.science/pith/M4KZ6T7IRDABWQ2HF663NUF5OG","download_json":"https://pith.science/pith/M4KZ6T7IRDABWQ2HF663NUF5OG.json","view_paper":"https://pith.science/paper/M4KZ6T7I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cs/0501066&json=true","fetch_graph":"https://pith.science/api/pith-number/M4KZ6T7IRDABWQ2HF663NUF5OG/graph.json","fetch_events":"https://pith.science/api/pith-number/M4KZ6T7IRDABWQ2HF663NUF5OG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M4KZ6T7IRDABWQ2HF663NUF5OG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M4KZ6T7IRDABWQ2HF663NUF5OG/action/storage_attestation","attest_author":"https://pith.science/pith/M4KZ6T7IRDABWQ2HF663NUF5OG/action/author_attestation","sign_citation":"https://pith.science/pith/M4KZ6T7IRDABWQ2HF663NUF5OG/action/citation_signature","submit_replication":"https://pith.science/pith/M4KZ6T7IRDABWQ2HF663NUF5OG/action/replication_record"}},"created_at":"2026-05-18T00:58:26.918051+00:00","updated_at":"2026-05-18T00:58:26.918051+00:00"}