{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:X5FEJAZMG6USEV6MCZJKRRAYFU","short_pith_number":"pith:X5FEJAZM","canonical_record":{"source":{"id":"1511.06940","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-11-21T23:44:48Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"12bd23072b7e48764b648dc8e44c0b2b4bd4fac8b64f042e752ad6169a332948","abstract_canon_sha256":"712228a99cc3d0d2572d23b900a394980271a872a5bb3868bb74c7f0ca8cba9d"},"schema_version":"1.0"},"canonical_sha256":"bf4a44832c37a92257cc1652a8c4182d328bb89ce87b84048c629cffda81f50c","source":{"kind":"arxiv","id":"1511.06940","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.06940","created_at":"2026-05-18T01:21:44Z"},{"alias_kind":"arxiv_version","alias_value":"1511.06940v2","created_at":"2026-05-18T01:21:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.06940","created_at":"2026-05-18T01:21:44Z"},{"alias_kind":"pith_short_12","alias_value":"X5FEJAZMG6US","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"X5FEJAZMG6USEV6M","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"X5FEJAZM","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:X5FEJAZMG6USEV6MCZJKRRAYFU","target":"record","payload":{"canonical_record":{"source":{"id":"1511.06940","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-11-21T23:44:48Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"12bd23072b7e48764b648dc8e44c0b2b4bd4fac8b64f042e752ad6169a332948","abstract_canon_sha256":"712228a99cc3d0d2572d23b900a394980271a872a5bb3868bb74c7f0ca8cba9d"},"schema_version":"1.0"},"canonical_sha256":"bf4a44832c37a92257cc1652a8c4182d328bb89ce87b84048c629cffda81f50c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:44.374122Z","signature_b64":"/V/OxH6BMn+gAo0e9sfDSFWT2vAflTk3nuHYfEXYZxEcBJySaH9AgFuiVgf7l6uOIfOjBicb0xtd2ZcOH8KzBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf4a44832c37a92257cc1652a8c4182d328bb89ce87b84048c629cffda81f50c","last_reissued_at":"2026-05-18T01:21:44.373516Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:44.373516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.06940","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:21:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GfLckP65lD0qrq6DZqxSL8VW7b6K6t43Kl3UW/eY56RbRTP3Ya8L7hQQf55+5IQebQxDA9VlvekcSxeDCy1BDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T02:41:10.869142Z"},"content_sha256":"b43fed8fb5e4e76627033c9c9804e68a4afdf61fd740f63e872a101e3f50335e","schema_version":"1.0","event_id":"sha256:b43fed8fb5e4e76627033c9c9804e68a4afdf61fd740f63e872a101e3f50335e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:X5FEJAZMG6USEV6MCZJKRRAYFU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"MIMO Channel Modeling and Capacity Analysis for 5G Millimeter-Wave Wireless Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Mathew K. Samimi, Shu Sun, Theodore S. Rappaport","submitted_at":"2015-11-21T23:44:48Z","abstract_excerpt":"This paper presents a 3-D statistical channel model of the impulse response with small-scale spatially correlated random coefficients for multi-element transmitter and receiver antenna arrays, derived using the physically-based time cluster - spatial lobe (TCSL) clustering scheme. The small-scale properties of multipath amplitudes are modeled based on 28 GHz outdoor millimeter-wave small-scale local area channel measurements. The wideband channel capacity is evaluated by considering measurement-based Rician-distributed voltage amplitudes, and the spatial autocorrelation of multipath amplitudes"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.06940","kind":"arxiv","version":2},"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":"2026-05-18T01:21:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l1OdqMg4uv6GmevMP2mYgTQRka+UsN00vlMZMcXl9F0QAk9/r0DMAawBhIgFJ1/IfzleIDne5KH45tMggL8jAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T02:41:10.869912Z"},"content_sha256":"4281b8ed65817433a3a068ccf0ae197de1e6ad4275f7c8d1b297d58f4d8e7ca3","schema_version":"1.0","event_id":"sha256:4281b8ed65817433a3a068ccf0ae197de1e6ad4275f7c8d1b297d58f4d8e7ca3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X5FEJAZMG6USEV6MCZJKRRAYFU/bundle.json","state_url":"https://pith.science/pith/X5FEJAZMG6USEV6MCZJKRRAYFU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X5FEJAZMG6USEV6MCZJKRRAYFU/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":"2026-06-12T02:41:10Z","links":{"resolver":"https://pith.science/pith/X5FEJAZMG6USEV6MCZJKRRAYFU","bundle":"https://pith.science/pith/X5FEJAZMG6USEV6MCZJKRRAYFU/bundle.json","state":"https://pith.science/pith/X5FEJAZMG6USEV6MCZJKRRAYFU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X5FEJAZMG6USEV6MCZJKRRAYFU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:X5FEJAZMG6USEV6MCZJKRRAYFU","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":"712228a99cc3d0d2572d23b900a394980271a872a5bb3868bb74c7f0ca8cba9d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-11-21T23:44:48Z","title_canon_sha256":"12bd23072b7e48764b648dc8e44c0b2b4bd4fac8b64f042e752ad6169a332948"},"schema_version":"1.0","source":{"id":"1511.06940","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.06940","created_at":"2026-05-18T01:21:44Z"},{"alias_kind":"arxiv_version","alias_value":"1511.06940v2","created_at":"2026-05-18T01:21:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.06940","created_at":"2026-05-18T01:21:44Z"},{"alias_kind":"pith_short_12","alias_value":"X5FEJAZMG6US","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"X5FEJAZMG6USEV6M","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"X5FEJAZM","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:4281b8ed65817433a3a068ccf0ae197de1e6ad4275f7c8d1b297d58f4d8e7ca3","target":"graph","created_at":"2026-05-18T01:21:44Z","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":"This paper presents a 3-D statistical channel model of the impulse response with small-scale spatially correlated random coefficients for multi-element transmitter and receiver antenna arrays, derived using the physically-based time cluster - spatial lobe (TCSL) clustering scheme. The small-scale properties of multipath amplitudes are modeled based on 28 GHz outdoor millimeter-wave small-scale local area channel measurements. The wideband channel capacity is evaluated by considering measurement-based Rician-distributed voltage amplitudes, and the spatial autocorrelation of multipath amplitudes","authors_text":"Mathew K. Samimi, Shu Sun, Theodore S. Rappaport","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-11-21T23:44:48Z","title":"MIMO Channel Modeling and Capacity Analysis for 5G Millimeter-Wave Wireless Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.06940","kind":"arxiv","version":2},"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:b43fed8fb5e4e76627033c9c9804e68a4afdf61fd740f63e872a101e3f50335e","target":"record","created_at":"2026-05-18T01:21:44Z","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":"712228a99cc3d0d2572d23b900a394980271a872a5bb3868bb74c7f0ca8cba9d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-11-21T23:44:48Z","title_canon_sha256":"12bd23072b7e48764b648dc8e44c0b2b4bd4fac8b64f042e752ad6169a332948"},"schema_version":"1.0","source":{"id":"1511.06940","kind":"arxiv","version":2}},"canonical_sha256":"bf4a44832c37a92257cc1652a8c4182d328bb89ce87b84048c629cffda81f50c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf4a44832c37a92257cc1652a8c4182d328bb89ce87b84048c629cffda81f50c","first_computed_at":"2026-05-18T01:21:44.373516Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:44.373516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/V/OxH6BMn+gAo0e9sfDSFWT2vAflTk3nuHYfEXYZxEcBJySaH9AgFuiVgf7l6uOIfOjBicb0xtd2ZcOH8KzBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:44.374122Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.06940","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b43fed8fb5e4e76627033c9c9804e68a4afdf61fd740f63e872a101e3f50335e","sha256:4281b8ed65817433a3a068ccf0ae197de1e6ad4275f7c8d1b297d58f4d8e7ca3"],"state_sha256":"ae295528a4d5ef4b4371d7ed04f724f3d135b1eae6d3c0b79aec526e5fb07d55"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ylPlaQI5ifUH3g7aYBDfcDivGlUpvusoQSEuyLiX9N+zoLXpE8RnBnevrYlUuX+qn0Y+aHmJ42NqDHZ6igpiAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T02:41:10.874238Z","bundle_sha256":"ce362ec5fc2565b9ea9b2ef19cb3b8f9a1f7fef4f2f3a2b5a1ead9f56c6be82e"}}