{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:BU245ZV6TL22LKK4PSOMEIOPVZ","short_pith_number":"pith:BU245ZV6","canonical_record":{"source":{"id":"1403.7697","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-03-30T03:14:56Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"c0b6f011723ae3d6273eb847da697e34a8d84efb02bad91cac3b0c4ac80b4514","abstract_canon_sha256":"8ebaab69e2e6049685c97ccf5cc3c9a0ced170ff286d11e60ab020ffbc42ad48"},"schema_version":"1.0"},"canonical_sha256":"0d35cee6be9af5a5a95c7c9cc221cfae55956a9e994b86722e98ab739369a971","source":{"kind":"arxiv","id":"1403.7697","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7697","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7697v1","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7697","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"pith_short_12","alias_value":"BU245ZV6TL22","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BU245ZV6TL22LKK4","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BU245ZV6","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:BU245ZV6TL22LKK4PSOMEIOPVZ","target":"record","payload":{"canonical_record":{"source":{"id":"1403.7697","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-03-30T03:14:56Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"c0b6f011723ae3d6273eb847da697e34a8d84efb02bad91cac3b0c4ac80b4514","abstract_canon_sha256":"8ebaab69e2e6049685c97ccf5cc3c9a0ced170ff286d11e60ab020ffbc42ad48"},"schema_version":"1.0"},"canonical_sha256":"0d35cee6be9af5a5a95c7c9cc221cfae55956a9e994b86722e98ab739369a971","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:12.640203Z","signature_b64":"8q+nwu13ZuQ/xBxhslY2tA8OjIifV0IoXNc2tKkNduq7VWLNTOH5f6b8FdDLIKUTgDOgXq8KvWCqI7BJXCYXCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d35cee6be9af5a5a95c7c9cc221cfae55956a9e994b86722e98ab739369a971","last_reissued_at":"2026-05-18T02:55:12.639824Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:12.639824Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.7697","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":"2026-05-18T02:55:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vjYH98n22nIjxvmheLhmuc8cpm0aGKKDsi5CotUrgiSOO9eFK5cW5DCCNr+gZTmBjX4ORxDUG+EfgngdVjDTCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T22:08:26.819692Z"},"content_sha256":"b9560eed021bca3797040f11d9428e6270cb0086f4e3c7c67c3a032c3e322bf9","schema_version":"1.0","event_id":"sha256:b9560eed021bca3797040f11d9428e6270cb0086f4e3c7c67c3a032c3e322bf9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:BU245ZV6TL22LKK4PSOMEIOPVZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"MIMO Beamforming in Millimeter-Wave Directional Wi-Fi","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Jianhan Liu, Keang-Po Ho, Shi Cheng","submitted_at":"2014-03-30T03:14:56Z","abstract_excerpt":"Beamforming is indispensable in the operation of 60-GHz millimeter-wave directional multi-gigabit Wi-Fi. Simple power method and its extensions enable the transmitting and receiving antenna arrays to form a beam for single spatial stream. To further improve the spectral efficiency in future 60-GHz directional Wi-Fi, alternating least square (ALS) algorithm can form multiple beams between the transmitter and receiver for multi-input-multi-output (MIMO) operations. For both shared and split MIMO architecture, the ALS beamforming algorithm can be operated in both frequency-flat and frequency-sele"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7697","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":"2026-05-18T02:55:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0G4ldnOP6gn6SYKGPxBRJ6ART7pZfw3EBwyPtYHrSMldKWjqhswOvv9EO9rkykR/NZVwNLe+P5imq/CQPZvPAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T22:08:26.820418Z"},"content_sha256":"633e44871dfd388693f0f32e8bde11cb07d8d4b7b06345e3a29b28fedcf5b795","schema_version":"1.0","event_id":"sha256:633e44871dfd388693f0f32e8bde11cb07d8d4b7b06345e3a29b28fedcf5b795"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BU245ZV6TL22LKK4PSOMEIOPVZ/bundle.json","state_url":"https://pith.science/pith/BU245ZV6TL22LKK4PSOMEIOPVZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BU245ZV6TL22LKK4PSOMEIOPVZ/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":"2026-06-07T22:08:26Z","links":{"resolver":"https://pith.science/pith/BU245ZV6TL22LKK4PSOMEIOPVZ","bundle":"https://pith.science/pith/BU245ZV6TL22LKK4PSOMEIOPVZ/bundle.json","state":"https://pith.science/pith/BU245ZV6TL22LKK4PSOMEIOPVZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BU245ZV6TL22LKK4PSOMEIOPVZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:BU245ZV6TL22LKK4PSOMEIOPVZ","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":"8ebaab69e2e6049685c97ccf5cc3c9a0ced170ff286d11e60ab020ffbc42ad48","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-03-30T03:14:56Z","title_canon_sha256":"c0b6f011723ae3d6273eb847da697e34a8d84efb02bad91cac3b0c4ac80b4514"},"schema_version":"1.0","source":{"id":"1403.7697","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7697","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7697v1","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7697","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"pith_short_12","alias_value":"BU245ZV6TL22","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BU245ZV6TL22LKK4","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BU245ZV6","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:633e44871dfd388693f0f32e8bde11cb07d8d4b7b06345e3a29b28fedcf5b795","target":"graph","created_at":"2026-05-18T02:55:12Z","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":"Beamforming is indispensable in the operation of 60-GHz millimeter-wave directional multi-gigabit Wi-Fi. Simple power method and its extensions enable the transmitting and receiving antenna arrays to form a beam for single spatial stream. To further improve the spectral efficiency in future 60-GHz directional Wi-Fi, alternating least square (ALS) algorithm can form multiple beams between the transmitter and receiver for multi-input-multi-output (MIMO) operations. For both shared and split MIMO architecture, the ALS beamforming algorithm can be operated in both frequency-flat and frequency-sele","authors_text":"Jianhan Liu, Keang-Po Ho, Shi Cheng","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-03-30T03:14:56Z","title":"MIMO Beamforming in Millimeter-Wave Directional Wi-Fi"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7697","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:b9560eed021bca3797040f11d9428e6270cb0086f4e3c7c67c3a032c3e322bf9","target":"record","created_at":"2026-05-18T02:55:12Z","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":"8ebaab69e2e6049685c97ccf5cc3c9a0ced170ff286d11e60ab020ffbc42ad48","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-03-30T03:14:56Z","title_canon_sha256":"c0b6f011723ae3d6273eb847da697e34a8d84efb02bad91cac3b0c4ac80b4514"},"schema_version":"1.0","source":{"id":"1403.7697","kind":"arxiv","version":1}},"canonical_sha256":"0d35cee6be9af5a5a95c7c9cc221cfae55956a9e994b86722e98ab739369a971","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d35cee6be9af5a5a95c7c9cc221cfae55956a9e994b86722e98ab739369a971","first_computed_at":"2026-05-18T02:55:12.639824Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:12.639824Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8q+nwu13ZuQ/xBxhslY2tA8OjIifV0IoXNc2tKkNduq7VWLNTOH5f6b8FdDLIKUTgDOgXq8KvWCqI7BJXCYXCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:12.640203Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.7697","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b9560eed021bca3797040f11d9428e6270cb0086f4e3c7c67c3a032c3e322bf9","sha256:633e44871dfd388693f0f32e8bde11cb07d8d4b7b06345e3a29b28fedcf5b795"],"state_sha256":"f82b61e685dfc634de05f6280d05fc347da3f8468d461c050d2c7aad89ed1907"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8D2yS2bmKzMMRgjcs3ELlDxJmDNaQd2IP8gcNk2ApTUrPxB1hcuCmxMYdvPoqrcow8D8uGT12igVzr2Xaj7FBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T22:08:26.824256Z","bundle_sha256":"2147341948da9c08580ce5fa381adfaf061c28418595c0c2fd6d1da0b8481050"}}