{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:LQLTFSD7T2VT4EFOAGXP3F2WJM","short_pith_number":"pith:LQLTFSD7","canonical_record":{"source":{"id":"cs/0603018","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cs.IT","submitted_at":"2006-03-03T22:41:58Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"4c195f5f6b6377d978296a52a27bf0707893d6f6da44b555248f83e487e8bfe8","abstract_canon_sha256":"6c2bcdf5eb69952cd7721aa0ca36e6c3e619542adbf5045100c36be71a689cb5"},"schema_version":"1.0"},"canonical_sha256":"5c1732c87f9eab3e10ae01aefd97564b28057a35b3cd63d32504b9b5e29b81bd","source":{"kind":"arxiv","id":"cs/0603018","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cs/0603018","created_at":"2026-07-04T15:02:51Z"},{"alias_kind":"arxiv_version","alias_value":"cs/0603018v1","created_at":"2026-07-04T15:02:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0603018","created_at":"2026-07-04T15:02:51Z"},{"alias_kind":"pith_short_12","alias_value":"LQLTFSD7T2VT","created_at":"2026-07-04T15:02:51Z"},{"alias_kind":"pith_short_16","alias_value":"LQLTFSD7T2VT4EFO","created_at":"2026-07-04T15:02:51Z"},{"alias_kind":"pith_short_8","alias_value":"LQLTFSD7","created_at":"2026-07-04T15:02:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:LQLTFSD7T2VT4EFOAGXP3F2WJM","target":"record","payload":{"canonical_record":{"source":{"id":"cs/0603018","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cs.IT","submitted_at":"2006-03-03T22:41:58Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"4c195f5f6b6377d978296a52a27bf0707893d6f6da44b555248f83e487e8bfe8","abstract_canon_sha256":"6c2bcdf5eb69952cd7721aa0ca36e6c3e619542adbf5045100c36be71a689cb5"},"schema_version":"1.0"},"canonical_sha256":"5c1732c87f9eab3e10ae01aefd97564b28057a35b3cd63d32504b9b5e29b81bd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:02:51.396005Z","signature_b64":"g2ZNV2txPYrant/6WqzyFKbPEWguu5PA5wRRNaEG0sIDdK/lcckSJPMLLYkEDQxRXLc42EYGBK5foQVqtVZsAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c1732c87f9eab3e10ae01aefd97564b28057a35b3cd63d32504b9b5e29b81bd","last_reissued_at":"2026-07-04T15:02:51.395579Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:02:51.395579Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cs/0603018","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":"2026-07-04T15:02:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"smswSHQBwVVaXjEvPuEoHX+RHgiQne2CugwgJXQy+Ghe6pRRLcxtjX2pp+WDfV9W5uaOGUguZmIVikoQxN7uCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T19:41:47.683771Z"},"content_sha256":"6d6ee8bd4a0a10b273e0832f4552122bcbb8db9cd378108d1a8c485a2e9841bd","schema_version":"1.0","event_id":"sha256:6d6ee8bd4a0a10b273e0832f4552122bcbb8db9cd378108d1a8c485a2e9841bd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:LQLTFSD7T2VT4EFOAGXP3F2WJM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Non-coherent MIMO Channels in the Wideband Regime: Capacity and Reliability","license":"","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Lizhong Zheng, Muriel Medard, Siddharth Ray","submitted_at":"2006-03-03T22:41:58Z","abstract_excerpt":"We consider a multiple-input, multiple-output (MIMO) wideband Rayleigh block fading channel where the channel state is unknown to both the transmitter and the receiver and there is only an average power constraint on the input. We compute the capacity and analyze its dependence on coherence length, number of antennas and receive signal-to-noise ratio (SNR) per degree of freedom. We establish conditions on the coherence length and number of antennas for the non-coherent channel to have a \"near coherent\" performance in the wideband regime. We also propose a signaling scheme that is near-capacity"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0603018","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cs/0603018/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:02:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eK9A3xkbrOlBiXTyhi55abMZmcR2mbBygh7tQNVTykTc43pAPOb2amaJgm+jyk3RdyPiofe8R4ygwpA7t6R1Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T19:41:47.684332Z"},"content_sha256":"0e41b1402a8a6028d3dd77959eac845881e4854b879d563d325ad466787539e7","schema_version":"1.0","event_id":"sha256:0e41b1402a8a6028d3dd77959eac845881e4854b879d563d325ad466787539e7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LQLTFSD7T2VT4EFOAGXP3F2WJM/bundle.json","state_url":"https://pith.science/pith/LQLTFSD7T2VT4EFOAGXP3F2WJM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LQLTFSD7T2VT4EFOAGXP3F2WJM/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":"2026-08-05T19:41:47Z","links":{"resolver":"https://pith.science/pith/LQLTFSD7T2VT4EFOAGXP3F2WJM","bundle":"https://pith.science/pith/LQLTFSD7T2VT4EFOAGXP3F2WJM/bundle.json","state":"https://pith.science/pith/LQLTFSD7T2VT4EFOAGXP3F2WJM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LQLTFSD7T2VT4EFOAGXP3F2WJM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:LQLTFSD7T2VT4EFOAGXP3F2WJM","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":"6c2bcdf5eb69952cd7721aa0ca36e6c3e619542adbf5045100c36be71a689cb5","cross_cats_sorted":["math.IT"],"license":"","primary_cat":"cs.IT","submitted_at":"2006-03-03T22:41:58Z","title_canon_sha256":"4c195f5f6b6377d978296a52a27bf0707893d6f6da44b555248f83e487e8bfe8"},"schema_version":"1.0","source":{"id":"cs/0603018","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cs/0603018","created_at":"2026-07-04T15:02:51Z"},{"alias_kind":"arxiv_version","alias_value":"cs/0603018v1","created_at":"2026-07-04T15:02:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0603018","created_at":"2026-07-04T15:02:51Z"},{"alias_kind":"pith_short_12","alias_value":"LQLTFSD7T2VT","created_at":"2026-07-04T15:02:51Z"},{"alias_kind":"pith_short_16","alias_value":"LQLTFSD7T2VT4EFO","created_at":"2026-07-04T15:02:51Z"},{"alias_kind":"pith_short_8","alias_value":"LQLTFSD7","created_at":"2026-07-04T15:02:51Z"}],"graph_snapshots":[{"event_id":"sha256:0e41b1402a8a6028d3dd77959eac845881e4854b879d563d325ad466787539e7","target":"graph","created_at":"2026-07-04T15:02:51Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/cs/0603018/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a multiple-input, multiple-output (MIMO) wideband Rayleigh block fading channel where the channel state is unknown to both the transmitter and the receiver and there is only an average power constraint on the input. We compute the capacity and analyze its dependence on coherence length, number of antennas and receive signal-to-noise ratio (SNR) per degree of freedom. We establish conditions on the coherence length and number of antennas for the non-coherent channel to have a \"near coherent\" performance in the wideband regime. We also propose a signaling scheme that is near-capacity","authors_text":"Lizhong Zheng, Muriel Medard, Siddharth Ray","cross_cats":["math.IT"],"headline":"","license":"","primary_cat":"cs.IT","submitted_at":"2006-03-03T22:41:58Z","title":"On Non-coherent MIMO Channels in the Wideband Regime: Capacity and Reliability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0603018","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":"sha256:6d6ee8bd4a0a10b273e0832f4552122bcbb8db9cd378108d1a8c485a2e9841bd","target":"record","created_at":"2026-07-04T15:02:51Z","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":"6c2bcdf5eb69952cd7721aa0ca36e6c3e619542adbf5045100c36be71a689cb5","cross_cats_sorted":["math.IT"],"license":"","primary_cat":"cs.IT","submitted_at":"2006-03-03T22:41:58Z","title_canon_sha256":"4c195f5f6b6377d978296a52a27bf0707893d6f6da44b555248f83e487e8bfe8"},"schema_version":"1.0","source":{"id":"cs/0603018","kind":"arxiv","version":1}},"canonical_sha256":"5c1732c87f9eab3e10ae01aefd97564b28057a35b3cd63d32504b9b5e29b81bd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c1732c87f9eab3e10ae01aefd97564b28057a35b3cd63d32504b9b5e29b81bd","first_computed_at":"2026-07-04T15:02:51.395579Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:02:51.395579Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g2ZNV2txPYrant/6WqzyFKbPEWguu5PA5wRRNaEG0sIDdK/lcckSJPMLLYkEDQxRXLc42EYGBK5foQVqtVZsAA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:02:51.396005Z","signed_message":"canonical_sha256_bytes"},"source_id":"cs/0603018","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d6ee8bd4a0a10b273e0832f4552122bcbb8db9cd378108d1a8c485a2e9841bd","sha256:0e41b1402a8a6028d3dd77959eac845881e4854b879d563d325ad466787539e7"],"state_sha256":"a1f8c821a7189e68d1cf1eaf557fcdd7fc96582fddc13e5422314a5a4a002511"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YG5/BuoEHc7EEEzYl1KMwQONwgEvFVKOZRF3QJXLY+alQsgMLCN1jGWmPkAf7lJiTHbEiP7omOcXt/BOYzgODA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T19:41:47.693635Z","bundle_sha256":"8d655c8f393e5bb9a00e2550c1f82275e5813f137a04da9bb2b63e091206c11f"}}