{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:4W7TNP2LACMIYORMOXBNVDROC5","short_pith_number":"pith:4W7TNP2L","canonical_record":{"source":{"id":"1401.2952","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-13T19:02:23Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"1e364e16f24fa54b9a74e70d061dd5ece78a6bdb225595105ace85d1a9c1ba5e","abstract_canon_sha256":"2ac27047f2f21faf2311b78442fe88b48e22483f0fe0f07051a733f99cea0e73"},"schema_version":"1.0"},"canonical_sha256":"e5bf36bf4b00988c3a2c75c2da8e2e174f4d46100eb7f6379400662e31eae669","source":{"kind":"arxiv","id":"1401.2952","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.2952","created_at":"2026-05-18T00:57:52Z"},{"alias_kind":"arxiv_version","alias_value":"1401.2952v1","created_at":"2026-05-18T00:57:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2952","created_at":"2026-05-18T00:57:52Z"},{"alias_kind":"pith_short_12","alias_value":"4W7TNP2LACMI","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4W7TNP2LACMIYORM","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4W7TNP2L","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:4W7TNP2LACMIYORMOXBNVDROC5","target":"record","payload":{"canonical_record":{"source":{"id":"1401.2952","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-13T19:02:23Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"1e364e16f24fa54b9a74e70d061dd5ece78a6bdb225595105ace85d1a9c1ba5e","abstract_canon_sha256":"2ac27047f2f21faf2311b78442fe88b48e22483f0fe0f07051a733f99cea0e73"},"schema_version":"1.0"},"canonical_sha256":"e5bf36bf4b00988c3a2c75c2da8e2e174f4d46100eb7f6379400662e31eae669","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:52.310532Z","signature_b64":"TQvJMHrXkBqYqOrMaDH4vx+gsiQ3OmZGBELRWABpn8gR1+UYBpy0EPcgnDsEFfR/y1fjTR11d/XJls1pom/nDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e5bf36bf4b00988c3a2c75c2da8e2e174f4d46100eb7f6379400662e31eae669","last_reissued_at":"2026-05-18T00:57:52.309872Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:52.309872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.2952","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":"2026-05-18T00:57:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wB+2rPm4MYL3fq3R2woi1nmEv13T6KCH/kARVOYcnkDCWCFBG2G0HAI6SVlzenS540/Oc0iwP+8m9IUAGrgBBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:07:48.362526Z"},"content_sha256":"1b731e3396d33fe103ec3a0ac9a5033d520bcc84cde95d913ef93c23303abc6f","schema_version":"1.0","event_id":"sha256:1b731e3396d33fe103ec3a0ac9a5033d520bcc84cde95d913ef93c23303abc6f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:4W7TNP2LACMIYORMOXBNVDROC5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Kronecker Product Correlation Model and Limited Feedback Codebook Design in a 3D Channel Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Amitava Ghosh, David J. Love, Dawei Ying, Frederick W. Vook, Timothy A. Thomas","submitted_at":"2014-01-13T19:02:23Z","abstract_excerpt":"A 2D antenna array introduces a new level of control and additional degrees of freedom in multiple-input-multiple-output (MIMO) systems particularly for the so-called \"massive MIMO\" systems. To accurately assess the performance gains of these large arrays, existing azimuth-only channel models have been extended to handle 3D channels by modeling both the elevation and azimuth dimensions. In this paper, we study the channel correlation matrix of a generic ray-based 3D channel model, and our analysis and simulation results demonstrate that the 3D correlation matrix can be well approximated by a K"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2952","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:57:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b3zoZn/I9+/8omWxF8FKgN0kE3E9J+xEuwMWmZ2ii9NMj3dwB+13H2+VBF1k24W+7aosOvGXsMbLKpfmGvq6Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T12:07:48.362869Z"},"content_sha256":"739a8788ec174408fc93a14df4aab73c9f1433ae3349a6a5d1a1db649496fd14","schema_version":"1.0","event_id":"sha256:739a8788ec174408fc93a14df4aab73c9f1433ae3349a6a5d1a1db649496fd14"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4W7TNP2LACMIYORMOXBNVDROC5/bundle.json","state_url":"https://pith.science/pith/4W7TNP2LACMIYORMOXBNVDROC5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4W7TNP2LACMIYORMOXBNVDROC5/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":"2026-06-01T12:07:48Z","links":{"resolver":"https://pith.science/pith/4W7TNP2LACMIYORMOXBNVDROC5","bundle":"https://pith.science/pith/4W7TNP2LACMIYORMOXBNVDROC5/bundle.json","state":"https://pith.science/pith/4W7TNP2LACMIYORMOXBNVDROC5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4W7TNP2LACMIYORMOXBNVDROC5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4W7TNP2LACMIYORMOXBNVDROC5","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":"2ac27047f2f21faf2311b78442fe88b48e22483f0fe0f07051a733f99cea0e73","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-13T19:02:23Z","title_canon_sha256":"1e364e16f24fa54b9a74e70d061dd5ece78a6bdb225595105ace85d1a9c1ba5e"},"schema_version":"1.0","source":{"id":"1401.2952","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.2952","created_at":"2026-05-18T00:57:52Z"},{"alias_kind":"arxiv_version","alias_value":"1401.2952v1","created_at":"2026-05-18T00:57:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2952","created_at":"2026-05-18T00:57:52Z"},{"alias_kind":"pith_short_12","alias_value":"4W7TNP2LACMI","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4W7TNP2LACMIYORM","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4W7TNP2L","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:739a8788ec174408fc93a14df4aab73c9f1433ae3349a6a5d1a1db649496fd14","target":"graph","created_at":"2026-05-18T00:57:52Z","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":"A 2D antenna array introduces a new level of control and additional degrees of freedom in multiple-input-multiple-output (MIMO) systems particularly for the so-called \"massive MIMO\" systems. To accurately assess the performance gains of these large arrays, existing azimuth-only channel models have been extended to handle 3D channels by modeling both the elevation and azimuth dimensions. In this paper, we study the channel correlation matrix of a generic ray-based 3D channel model, and our analysis and simulation results demonstrate that the 3D correlation matrix can be well approximated by a K","authors_text":"Amitava Ghosh, David J. Love, Dawei Ying, Frederick W. Vook, Timothy A. Thomas","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-13T19:02:23Z","title":"Kronecker Product Correlation Model and Limited Feedback Codebook Design in a 3D Channel Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2952","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":"sha256:1b731e3396d33fe103ec3a0ac9a5033d520bcc84cde95d913ef93c23303abc6f","target":"record","created_at":"2026-05-18T00:57:52Z","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":"2ac27047f2f21faf2311b78442fe88b48e22483f0fe0f07051a733f99cea0e73","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-13T19:02:23Z","title_canon_sha256":"1e364e16f24fa54b9a74e70d061dd5ece78a6bdb225595105ace85d1a9c1ba5e"},"schema_version":"1.0","source":{"id":"1401.2952","kind":"arxiv","version":1}},"canonical_sha256":"e5bf36bf4b00988c3a2c75c2da8e2e174f4d46100eb7f6379400662e31eae669","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e5bf36bf4b00988c3a2c75c2da8e2e174f4d46100eb7f6379400662e31eae669","first_computed_at":"2026-05-18T00:57:52.309872Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:52.309872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TQvJMHrXkBqYqOrMaDH4vx+gsiQ3OmZGBELRWABpn8gR1+UYBpy0EPcgnDsEFfR/y1fjTR11d/XJls1pom/nDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:52.310532Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.2952","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1b731e3396d33fe103ec3a0ac9a5033d520bcc84cde95d913ef93c23303abc6f","sha256:739a8788ec174408fc93a14df4aab73c9f1433ae3349a6a5d1a1db649496fd14"],"state_sha256":"54b000facc2019df201f4903f0c286c678e5c5e522f7ecb55a7f8ebddf7cd97a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+xrxckEB3xKn1C794bHm+oCgbvZA0jI5Bxfbr67KosJKTxvXJL6KElJeKhI4QRnoGj9blnKrO8bOz7fdTzCGDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T12:07:48.364748Z","bundle_sha256":"0940f6710c4a81338292acfa5d91e249b6d779cdb5cb009830144e02f10e691c"}}