{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:TBMM2XVT5OERMC2Q6MSTF7DKCJ","short_pith_number":"pith:TBMM2XVT","canonical_record":{"source":{"id":"1309.7430","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-09-28T05:50:21Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"71d6da8cc8a1151c597672ad0e9ede20f4ae3e8621a1c9ef59ccb45cf4e83dbc","abstract_canon_sha256":"1d4be65851b807906ec71455a36f46d53280c8e4b9f988f5e9fd5015e1aa4ac9"},"schema_version":"1.0"},"canonical_sha256":"9858cd5eb3eb89160b50f32532fc6a12569f0191c392df9edb53af003e80f024","source":{"kind":"arxiv","id":"1309.7430","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.7430","created_at":"2026-05-18T01:47:25Z"},{"alias_kind":"arxiv_version","alias_value":"1309.7430v2","created_at":"2026-05-18T01:47:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.7430","created_at":"2026-05-18T01:47:25Z"},{"alias_kind":"pith_short_12","alias_value":"TBMM2XVT5OER","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"TBMM2XVT5OERMC2Q","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"TBMM2XVT","created_at":"2026-05-18T12:27:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:TBMM2XVT5OERMC2Q6MSTF7DKCJ","target":"record","payload":{"canonical_record":{"source":{"id":"1309.7430","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-09-28T05:50:21Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"71d6da8cc8a1151c597672ad0e9ede20f4ae3e8621a1c9ef59ccb45cf4e83dbc","abstract_canon_sha256":"1d4be65851b807906ec71455a36f46d53280c8e4b9f988f5e9fd5015e1aa4ac9"},"schema_version":"1.0"},"canonical_sha256":"9858cd5eb3eb89160b50f32532fc6a12569f0191c392df9edb53af003e80f024","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:47:25.124810Z","signature_b64":"qzeIJP6KHvN7NPaMg1VNHNelBbs8JYO8T//S2yFCyI4w31L7rGmjvDeqYbdyORbD8OiQOg7ZxfxRBDa0nVvNAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9858cd5eb3eb89160b50f32532fc6a12569f0191c392df9edb53af003e80f024","last_reissued_at":"2026-05-18T01:47:25.124161Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:47:25.124161Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.7430","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":"2026-05-18T01:47:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e1AuWNeH+w1webKM19xsca0iedud/ej4Eb64x1YDoRjJ/eEyXQS6HkAdh2hOd6uHuMew2ISQQvwyDECTdCHAAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T09:53:25.760971Z"},"content_sha256":"09557af26d75892e0e87fa773013200ad00fd94f6eb734e324ee149b1198c7f5","schema_version":"1.0","event_id":"sha256:09557af26d75892e0e87fa773013200ad00fd94f6eb734e324ee149b1198c7f5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:TBMM2XVT5OERMC2Q6MSTF7DKCJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pilot Beam Pattern Design for Channel Estimation in Massive MIMO Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"David J. Love, Michael D. Zoltowski, Song Noh, Youngchul Sung","submitted_at":"2013-09-28T05:50:21Z","abstract_excerpt":"In this paper, the problem of pilot beam pattern design for channel estimation in massive multiple-input multiple-output systems with a large number of transmit antennas at the base station is considered, and a new algorithm for pilot beam pattern design for optimal channel estimation is proposed under the assumption that the channel is a stationary Gauss-Markov random process. The proposed algorithm designs the pilot beam pattern sequentially by exploiting the properties of Kalman filtering and the associated prediction error covariance matrices and also the channel statistics such as spatial"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.7430","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":"2026-05-18T01:47:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"27ApKgea1bNpEpfZcd90ngdURJmYuVaiEwhzu91nuKjskHi2Dau2C6kXmulgcqb3ZBktStOjBmDmyvQ92EhiBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T09:53:25.761327Z"},"content_sha256":"7c65b2ef935ee7e7313cdf65aeab834d05cd9937cc05193b96e988963c8ff023","schema_version":"1.0","event_id":"sha256:7c65b2ef935ee7e7313cdf65aeab834d05cd9937cc05193b96e988963c8ff023"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TBMM2XVT5OERMC2Q6MSTF7DKCJ/bundle.json","state_url":"https://pith.science/pith/TBMM2XVT5OERMC2Q6MSTF7DKCJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TBMM2XVT5OERMC2Q6MSTF7DKCJ/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":"2026-06-25T09:53:25Z","links":{"resolver":"https://pith.science/pith/TBMM2XVT5OERMC2Q6MSTF7DKCJ","bundle":"https://pith.science/pith/TBMM2XVT5OERMC2Q6MSTF7DKCJ/bundle.json","state":"https://pith.science/pith/TBMM2XVT5OERMC2Q6MSTF7DKCJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TBMM2XVT5OERMC2Q6MSTF7DKCJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TBMM2XVT5OERMC2Q6MSTF7DKCJ","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":"1d4be65851b807906ec71455a36f46d53280c8e4b9f988f5e9fd5015e1aa4ac9","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-09-28T05:50:21Z","title_canon_sha256":"71d6da8cc8a1151c597672ad0e9ede20f4ae3e8621a1c9ef59ccb45cf4e83dbc"},"schema_version":"1.0","source":{"id":"1309.7430","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.7430","created_at":"2026-05-18T01:47:25Z"},{"alias_kind":"arxiv_version","alias_value":"1309.7430v2","created_at":"2026-05-18T01:47:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.7430","created_at":"2026-05-18T01:47:25Z"},{"alias_kind":"pith_short_12","alias_value":"TBMM2XVT5OER","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"TBMM2XVT5OERMC2Q","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"TBMM2XVT","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:7c65b2ef935ee7e7313cdf65aeab834d05cd9937cc05193b96e988963c8ff023","target":"graph","created_at":"2026-05-18T01:47:25Z","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":"In this paper, the problem of pilot beam pattern design for channel estimation in massive multiple-input multiple-output systems with a large number of transmit antennas at the base station is considered, and a new algorithm for pilot beam pattern design for optimal channel estimation is proposed under the assumption that the channel is a stationary Gauss-Markov random process. The proposed algorithm designs the pilot beam pattern sequentially by exploiting the properties of Kalman filtering and the associated prediction error covariance matrices and also the channel statistics such as spatial","authors_text":"David J. Love, Michael D. Zoltowski, Song Noh, Youngchul Sung","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-09-28T05:50:21Z","title":"Pilot Beam Pattern Design for Channel Estimation in Massive MIMO Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.7430","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":"sha256:09557af26d75892e0e87fa773013200ad00fd94f6eb734e324ee149b1198c7f5","target":"record","created_at":"2026-05-18T01:47:25Z","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":"1d4be65851b807906ec71455a36f46d53280c8e4b9f988f5e9fd5015e1aa4ac9","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-09-28T05:50:21Z","title_canon_sha256":"71d6da8cc8a1151c597672ad0e9ede20f4ae3e8621a1c9ef59ccb45cf4e83dbc"},"schema_version":"1.0","source":{"id":"1309.7430","kind":"arxiv","version":2}},"canonical_sha256":"9858cd5eb3eb89160b50f32532fc6a12569f0191c392df9edb53af003e80f024","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9858cd5eb3eb89160b50f32532fc6a12569f0191c392df9edb53af003e80f024","first_computed_at":"2026-05-18T01:47:25.124161Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:47:25.124161Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qzeIJP6KHvN7NPaMg1VNHNelBbs8JYO8T//S2yFCyI4w31L7rGmjvDeqYbdyORbD8OiQOg7ZxfxRBDa0nVvNAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:47:25.124810Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.7430","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:09557af26d75892e0e87fa773013200ad00fd94f6eb734e324ee149b1198c7f5","sha256:7c65b2ef935ee7e7313cdf65aeab834d05cd9937cc05193b96e988963c8ff023"],"state_sha256":"2252e2ded9d7d7439f22d04ea224cc6522a2934fe076adf4d98b4d2f368c90fc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QScNS/NmvkFvLSHmNTIQYJBlgLY89fQFpgZxCMTms+wl4YuFXsDmYDbIDaEMmhboQKfQcMfcLZInyon26uM6BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T09:53:25.763256Z","bundle_sha256":"68d94fdd8eda61df0ec1058d1a4bc08458bcb12441f500d7269d11522b630d23"}}