{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:JPKIQQ4KCUFSF6CZOVM5M455TJ","short_pith_number":"pith:JPKIQQ4K","canonical_record":{"source":{"id":"1606.05634","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-06-17T19:45:09Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"0d59296219d540bc2dddcec8dc00ef11ae4df735acb93211c1cf529234f6293b","abstract_canon_sha256":"ee69947d7a86bd0281c0af7a60fe6562b07506d57aa09f7b5890c186c6f285e5"},"schema_version":"1.0"},"canonical_sha256":"4bd488438a150b22f8597559d673bd9a68f8246cfc8accc7d63cf74a63792972","source":{"kind":"arxiv","id":"1606.05634","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.05634","created_at":"2026-05-18T00:51:30Z"},{"alias_kind":"arxiv_version","alias_value":"1606.05634v4","created_at":"2026-05-18T00:51:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.05634","created_at":"2026-05-18T00:51:30Z"},{"alias_kind":"pith_short_12","alias_value":"JPKIQQ4KCUFS","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JPKIQQ4KCUFSF6CZ","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JPKIQQ4K","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:JPKIQQ4KCUFSF6CZOVM5M455TJ","target":"record","payload":{"canonical_record":{"source":{"id":"1606.05634","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-06-17T19:45:09Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"0d59296219d540bc2dddcec8dc00ef11ae4df735acb93211c1cf529234f6293b","abstract_canon_sha256":"ee69947d7a86bd0281c0af7a60fe6562b07506d57aa09f7b5890c186c6f285e5"},"schema_version":"1.0"},"canonical_sha256":"4bd488438a150b22f8597559d673bd9a68f8246cfc8accc7d63cf74a63792972","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:30.308595Z","signature_b64":"UgRehaqw5Lv+Dwla33WE+w2LpQ01Pb2HY2D1ZhCHXhBByPR5rM5vzZd6oV+KbS/bZb2Pld8M7pd4I9PKUaF/AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4bd488438a150b22f8597559d673bd9a68f8246cfc8accc7d63cf74a63792972","last_reissued_at":"2026-05-18T00:51:30.307900Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:30.307900Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.05634","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:51:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zPKZZGWQV5C+itgZthmaHl9IdPC8JU3npCneS0+MBSWV6PVINr0OMxQl+bS3HFM7yWjY3GObtSPzK/+k02b3Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T00:16:05.154140Z"},"content_sha256":"123e1dcfc32a1912f103415aa826edd0ca92bc61d737e499788ab35731eb93b6","schema_version":"1.0","event_id":"sha256:123e1dcfc32a1912f103415aa826edd0ca92bc61d737e499788ab35731eb93b6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:JPKIQQ4KCUFSF6CZOVM5M455TJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Common Codebook Millimeter Wave Beam Design: Designing Beams for Both Sounding and Communication with Uniform Planar Arrays","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"David J. Love, Jiho Song, Junil Choi","submitted_at":"2016-06-17T19:45:09Z","abstract_excerpt":"Fifth generation (5G) wireless networks are expected to utilize wide bandwidths available at millimeter wave (mmWave) frequencies for enhancing system throughput. However, the unfavorable channel conditions of mmWave links, e.g., higher path loss and attenuation due to atmospheric gases or water vapor, hinder reliable communications. To compensate for these severe losses, it is essential to have a multitude of antennas to generate sharp and strong beams for directional transmission. In this paper, we consider mmWave systems using uniform planar array (UPA) antennas, which effectively place mor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.05634","kind":"arxiv","version":4},"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":"2026-05-18T00:51:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qXiA2UYbSQApI/intmB7jEIuRntgumePCLdsfCUVmhXmJ5aG6vu0CfyBcW+SkU51/2KwB183lXo3qGe6iyYODg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T00:16:05.154827Z"},"content_sha256":"695fc3e0c0d7bbf8a321aad6128c3d0090c425835767123aae79dd97ffe1df56","schema_version":"1.0","event_id":"sha256:695fc3e0c0d7bbf8a321aad6128c3d0090c425835767123aae79dd97ffe1df56"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JPKIQQ4KCUFSF6CZOVM5M455TJ/bundle.json","state_url":"https://pith.science/pith/JPKIQQ4KCUFSF6CZOVM5M455TJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JPKIQQ4KCUFSF6CZOVM5M455TJ/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":"2026-06-01T00:16:05Z","links":{"resolver":"https://pith.science/pith/JPKIQQ4KCUFSF6CZOVM5M455TJ","bundle":"https://pith.science/pith/JPKIQQ4KCUFSF6CZOVM5M455TJ/bundle.json","state":"https://pith.science/pith/JPKIQQ4KCUFSF6CZOVM5M455TJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JPKIQQ4KCUFSF6CZOVM5M455TJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:JPKIQQ4KCUFSF6CZOVM5M455TJ","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":"ee69947d7a86bd0281c0af7a60fe6562b07506d57aa09f7b5890c186c6f285e5","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-06-17T19:45:09Z","title_canon_sha256":"0d59296219d540bc2dddcec8dc00ef11ae4df735acb93211c1cf529234f6293b"},"schema_version":"1.0","source":{"id":"1606.05634","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.05634","created_at":"2026-05-18T00:51:30Z"},{"alias_kind":"arxiv_version","alias_value":"1606.05634v4","created_at":"2026-05-18T00:51:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.05634","created_at":"2026-05-18T00:51:30Z"},{"alias_kind":"pith_short_12","alias_value":"JPKIQQ4KCUFS","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JPKIQQ4KCUFSF6CZ","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JPKIQQ4K","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:695fc3e0c0d7bbf8a321aad6128c3d0090c425835767123aae79dd97ffe1df56","target":"graph","created_at":"2026-05-18T00:51:30Z","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":"Fifth generation (5G) wireless networks are expected to utilize wide bandwidths available at millimeter wave (mmWave) frequencies for enhancing system throughput. However, the unfavorable channel conditions of mmWave links, e.g., higher path loss and attenuation due to atmospheric gases or water vapor, hinder reliable communications. To compensate for these severe losses, it is essential to have a multitude of antennas to generate sharp and strong beams for directional transmission. In this paper, we consider mmWave systems using uniform planar array (UPA) antennas, which effectively place mor","authors_text":"David J. Love, Jiho Song, Junil Choi","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-06-17T19:45:09Z","title":"Common Codebook Millimeter Wave Beam Design: Designing Beams for Both Sounding and Communication with Uniform Planar Arrays"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.05634","kind":"arxiv","version":4},"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":"sha256:123e1dcfc32a1912f103415aa826edd0ca92bc61d737e499788ab35731eb93b6","target":"record","created_at":"2026-05-18T00:51:30Z","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":"ee69947d7a86bd0281c0af7a60fe6562b07506d57aa09f7b5890c186c6f285e5","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-06-17T19:45:09Z","title_canon_sha256":"0d59296219d540bc2dddcec8dc00ef11ae4df735acb93211c1cf529234f6293b"},"schema_version":"1.0","source":{"id":"1606.05634","kind":"arxiv","version":4}},"canonical_sha256":"4bd488438a150b22f8597559d673bd9a68f8246cfc8accc7d63cf74a63792972","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4bd488438a150b22f8597559d673bd9a68f8246cfc8accc7d63cf74a63792972","first_computed_at":"2026-05-18T00:51:30.307900Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:30.307900Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UgRehaqw5Lv+Dwla33WE+w2LpQ01Pb2HY2D1ZhCHXhBByPR5rM5vzZd6oV+KbS/bZb2Pld8M7pd4I9PKUaF/AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:30.308595Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.05634","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:123e1dcfc32a1912f103415aa826edd0ca92bc61d737e499788ab35731eb93b6","sha256:695fc3e0c0d7bbf8a321aad6128c3d0090c425835767123aae79dd97ffe1df56"],"state_sha256":"9386a0f408ba137968d757c1a0cfff6fd27d13ff5cd2233c222429f8c279e127"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EedTR1e+JBXoVFLw+1sleYhmKyajCidhREm8xHfu5EA9smpkCT1SetRuZOSzIHJhviqSDwQlbFSdd6q/zsotCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T00:16:05.158548Z","bundle_sha256":"150b0aa18228aef4310a78e6196a1064c48da571159ab13ed8fafda74ec26431"}}