{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:AQ6ZDLOZARU2JEFHP56P6RLW2L","short_pith_number":"pith:AQ6ZDLOZ","canonical_record":{"source":{"id":"1203.1758","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-03-08T11:44:22Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"e82ddbb84b232cdb72fbb048792f6425ff6a8d2dc20aee76fa78c525c4b2b1a7","abstract_canon_sha256":"f4b4cf8ce34299bf11df8c07599d587c878fedc437a32e8149354bbfe255d364"},"schema_version":"1.0"},"canonical_sha256":"043d91add90469a490a77f7cff4576d2f996162e960c688776c0756e9461f467","source":{"kind":"arxiv","id":"1203.1758","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.1758","created_at":"2026-05-18T01:58:13Z"},{"alias_kind":"arxiv_version","alias_value":"1203.1758v2","created_at":"2026-05-18T01:58:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.1758","created_at":"2026-05-18T01:58:13Z"},{"alias_kind":"pith_short_12","alias_value":"AQ6ZDLOZARU2","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"AQ6ZDLOZARU2JEFH","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"AQ6ZDLOZ","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:AQ6ZDLOZARU2JEFHP56P6RLW2L","target":"record","payload":{"canonical_record":{"source":{"id":"1203.1758","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-03-08T11:44:22Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"e82ddbb84b232cdb72fbb048792f6425ff6a8d2dc20aee76fa78c525c4b2b1a7","abstract_canon_sha256":"f4b4cf8ce34299bf11df8c07599d587c878fedc437a32e8149354bbfe255d364"},"schema_version":"1.0"},"canonical_sha256":"043d91add90469a490a77f7cff4576d2f996162e960c688776c0756e9461f467","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:13.074349Z","signature_b64":"K6Z37DG3PGjpc28rsFSMS2hpn0o7UZaRLKAJ0/g2nLfrHmkAI7juJvyflDdGzKcoCQKtscozrjl5/slwHa99Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"043d91add90469a490a77f7cff4576d2f996162e960c688776c0756e9461f467","last_reissued_at":"2026-05-18T01:58:13.073576Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:13.073576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.1758","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":"2026-05-18T01:58:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4mVXJGWHr7BMQra+EzaVLAnANwEC8Cq/Z7uJ8crcLqkDf1eYiUXU1ZOyGDRctwmF5MUMzmRsr4mvYVEu4PNeAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:39:09.714872Z"},"content_sha256":"e908b9e6fd0512f6bd98fe05c7842f92b227103b51818aeaea7f19c40450ad5c","schema_version":"1.0","event_id":"sha256:e908b9e6fd0512f6bd98fe05c7842f92b227103b51818aeaea7f19c40450ad5c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:AQ6ZDLOZARU2JEFHP56P6RLW2L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coordinated Beamforming with Relaxed Zero Forcing: The Sequential Orthogonal Projection Combining Method and Rate Control","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Gilwon Lee, Juho Park, Masahiro Yukawa, Youngchul Sung","submitted_at":"2012-03-08T11:44:22Z","abstract_excerpt":"In this paper, coordinated beamforming based on relaxed zero forcing (RZF) for K transmitter-receiver pair multiple-input single-output (MISO) and multiple-input multiple-output (MIMO) interference channels is considered. In the RZF coordinated beamforming, conventional zero-forcing interference leakage constraints are relaxed so that some predetermined interference leakage to undesired receivers is allowed in order to increase the beam design space for larger rates than those of the zero-forcing (ZF) scheme or to make beam design feasible when ZF is impossible. In the MISO case, it is shown t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1758","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":"2026-05-18T01:58:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qJ0WCqZP0Xvq9XbO8FSDSnpoAod6hZEEQmY9T9ceAP0NQ90XCo1qPQVlKa/gDWlZoHMWUwyrvMn+Sm0WV6E8Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T01:39:09.715727Z"},"content_sha256":"2ee359655a788f369f97591333d49ce1e072708ff2c8c50c2a96e6c1b962f71d","schema_version":"1.0","event_id":"sha256:2ee359655a788f369f97591333d49ce1e072708ff2c8c50c2a96e6c1b962f71d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AQ6ZDLOZARU2JEFHP56P6RLW2L/bundle.json","state_url":"https://pith.science/pith/AQ6ZDLOZARU2JEFHP56P6RLW2L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AQ6ZDLOZARU2JEFHP56P6RLW2L/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":"2026-05-27T01:39:09Z","links":{"resolver":"https://pith.science/pith/AQ6ZDLOZARU2JEFHP56P6RLW2L","bundle":"https://pith.science/pith/AQ6ZDLOZARU2JEFHP56P6RLW2L/bundle.json","state":"https://pith.science/pith/AQ6ZDLOZARU2JEFHP56P6RLW2L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AQ6ZDLOZARU2JEFHP56P6RLW2L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:AQ6ZDLOZARU2JEFHP56P6RLW2L","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":"f4b4cf8ce34299bf11df8c07599d587c878fedc437a32e8149354bbfe255d364","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-03-08T11:44:22Z","title_canon_sha256":"e82ddbb84b232cdb72fbb048792f6425ff6a8d2dc20aee76fa78c525c4b2b1a7"},"schema_version":"1.0","source":{"id":"1203.1758","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.1758","created_at":"2026-05-18T01:58:13Z"},{"alias_kind":"arxiv_version","alias_value":"1203.1758v2","created_at":"2026-05-18T01:58:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.1758","created_at":"2026-05-18T01:58:13Z"},{"alias_kind":"pith_short_12","alias_value":"AQ6ZDLOZARU2","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"AQ6ZDLOZARU2JEFH","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"AQ6ZDLOZ","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:2ee359655a788f369f97591333d49ce1e072708ff2c8c50c2a96e6c1b962f71d","target":"graph","created_at":"2026-05-18T01:58:13Z","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, coordinated beamforming based on relaxed zero forcing (RZF) for K transmitter-receiver pair multiple-input single-output (MISO) and multiple-input multiple-output (MIMO) interference channels is considered. In the RZF coordinated beamforming, conventional zero-forcing interference leakage constraints are relaxed so that some predetermined interference leakage to undesired receivers is allowed in order to increase the beam design space for larger rates than those of the zero-forcing (ZF) scheme or to make beam design feasible when ZF is impossible. In the MISO case, it is shown t","authors_text":"Gilwon Lee, Juho Park, Masahiro Yukawa, Youngchul Sung","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-03-08T11:44:22Z","title":"Coordinated Beamforming with Relaxed Zero Forcing: The Sequential Orthogonal Projection Combining Method and Rate Control"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1758","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:e908b9e6fd0512f6bd98fe05c7842f92b227103b51818aeaea7f19c40450ad5c","target":"record","created_at":"2026-05-18T01:58:13Z","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":"f4b4cf8ce34299bf11df8c07599d587c878fedc437a32e8149354bbfe255d364","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-03-08T11:44:22Z","title_canon_sha256":"e82ddbb84b232cdb72fbb048792f6425ff6a8d2dc20aee76fa78c525c4b2b1a7"},"schema_version":"1.0","source":{"id":"1203.1758","kind":"arxiv","version":2}},"canonical_sha256":"043d91add90469a490a77f7cff4576d2f996162e960c688776c0756e9461f467","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"043d91add90469a490a77f7cff4576d2f996162e960c688776c0756e9461f467","first_computed_at":"2026-05-18T01:58:13.073576Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:13.073576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K6Z37DG3PGjpc28rsFSMS2hpn0o7UZaRLKAJ0/g2nLfrHmkAI7juJvyflDdGzKcoCQKtscozrjl5/slwHa99Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:13.074349Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.1758","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e908b9e6fd0512f6bd98fe05c7842f92b227103b51818aeaea7f19c40450ad5c","sha256:2ee359655a788f369f97591333d49ce1e072708ff2c8c50c2a96e6c1b962f71d"],"state_sha256":"0add62293f4eaa17f4588a1124d7f52cc97db00e72db870d05d13085b7d376c7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jozvP00RE4S1m+omBF7rIWwLH+9kxHoyRr58SeV1PF5PDEo62h4barQbqXUKdiIA9iltqLOSxnePI16pTT5QBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T01:39:09.719039Z","bundle_sha256":"3b16213f45e329224ad813c6d37eb607fd91f7158068301ee9f65539db3477a1"}}