{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:4O2Y7CN42ZUPJ4EPHEP2QV6S57","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":"712dbbf1cbe4b5d8017d49e4a50eb034dd038b4051073886833b2a4b12150213","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2021-05-20T15:48:25Z","title_canon_sha256":"a6dc4c48b9eeabf1fa1f8a1d1d996b2a983997f27e66842b66daac9bec1b310e"},"schema_version":"1.0","source":{"id":"2105.09849","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.09849","created_at":"2026-07-05T02:41:57Z"},{"alias_kind":"arxiv_version","alias_value":"2105.09849v1","created_at":"2026-07-05T02:41:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.09849","created_at":"2026-07-05T02:41:57Z"},{"alias_kind":"pith_short_12","alias_value":"4O2Y7CN42ZUP","created_at":"2026-07-05T02:41:57Z"},{"alias_kind":"pith_short_16","alias_value":"4O2Y7CN42ZUPJ4EP","created_at":"2026-07-05T02:41:57Z"},{"alias_kind":"pith_short_8","alias_value":"4O2Y7CN4","created_at":"2026-07-05T02:41:57Z"}],"graph_snapshots":[{"event_id":"sha256:d293079327fca35371335dd6e13b0d3b905c3c4b097af0d90aa85f8ce547b40d","target":"graph","created_at":"2026-07-05T02:41:57Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2105.09849/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we consider the design of hybrid analog-digital (HAD) multi-carrier MIMO-OFDM two-way relaying systems, where the relay station is equipped with a HAD amplify-and-forward architecture and every mobile station is equipped with a fully-digital beamforming architecture. We propose a sub-optimal solution by reformulating the original non-convex problem as a constrained Tucker2 decomposition with the objective of minimizing the sum Euclidean-norm between the HAD amplification matrices and their fully-digital counterparts. For the fully-digital amplification matrix design, we use a Fro","authors_text":"Khaled Ardah, Martin Haardt, Sepideh Gherekhloo","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2021-05-20T15:48:25Z","title":"Fully Digital and Hybrid Beamforming Design For Millimeter-Wave MIMO-OFDM Two-Way Relaying Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.09849","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:bf8a91fd14fe148da29fa4e2d940cf62b2800757c85b4786f72325c32085d58d","target":"record","created_at":"2026-07-05T02:41:57Z","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":"712dbbf1cbe4b5d8017d49e4a50eb034dd038b4051073886833b2a4b12150213","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.SP","submitted_at":"2021-05-20T15:48:25Z","title_canon_sha256":"a6dc4c48b9eeabf1fa1f8a1d1d996b2a983997f27e66842b66daac9bec1b310e"},"schema_version":"1.0","source":{"id":"2105.09849","kind":"arxiv","version":1}},"canonical_sha256":"e3b58f89bcd668f4f08f391fa857d2efd663a34e0f517c5a21f791c3674dbc63","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e3b58f89bcd668f4f08f391fa857d2efd663a34e0f517c5a21f791c3674dbc63","first_computed_at":"2026-07-05T02:41:57.832422Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:41:57.832422Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PA1ri7uOWk+0QHrBiq0Te/uUdUY9BykUAcR2ncocqcIg1sjjEg6si3rX5qh999+czKlxj9NdNv3Sox09pD5hDw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:41:57.832808Z","signed_message":"canonical_sha256_bytes"},"source_id":"2105.09849","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf8a91fd14fe148da29fa4e2d940cf62b2800757c85b4786f72325c32085d58d","sha256:d293079327fca35371335dd6e13b0d3b905c3c4b097af0d90aa85f8ce547b40d"],"state_sha256":"7a30cf671ce2358dacac330c7423fe3943a4d01b61cd21db55ba911c08c747ed"}