{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:YSS4XYJRH66Q3B4L7VKCWUP7CB","short_pith_number":"pith:YSS4XYJR","canonical_record":{"source":{"id":"1712.10088","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2017-12-29T01:20:15Z","cross_cats_sorted":[],"title_canon_sha256":"5173001572c451f70b3d59e24dc812b69db98974ed8cf953312bd4b3bcc01058","abstract_canon_sha256":"c95649c26ab64470203d13b5e8489f6f9efcd8dafff363203b0b8e73aa1c2146"},"schema_version":"1.0"},"canonical_sha256":"c4a5cbe1313fbd0d878bfd542b51ff10469ae4a210a3c80ccf42c4c47e0a07cd","source":{"kind":"arxiv","id":"1712.10088","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.10088","created_at":"2026-05-18T00:27:03Z"},{"alias_kind":"arxiv_version","alias_value":"1712.10088v1","created_at":"2026-05-18T00:27:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.10088","created_at":"2026-05-18T00:27:03Z"},{"alias_kind":"pith_short_12","alias_value":"YSS4XYJRH66Q","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YSS4XYJRH66Q3B4L","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YSS4XYJR","created_at":"2026-05-18T12:31:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:YSS4XYJRH66Q3B4L7VKCWUP7CB","target":"record","payload":{"canonical_record":{"source":{"id":"1712.10088","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2017-12-29T01:20:15Z","cross_cats_sorted":[],"title_canon_sha256":"5173001572c451f70b3d59e24dc812b69db98974ed8cf953312bd4b3bcc01058","abstract_canon_sha256":"c95649c26ab64470203d13b5e8489f6f9efcd8dafff363203b0b8e73aa1c2146"},"schema_version":"1.0"},"canonical_sha256":"c4a5cbe1313fbd0d878bfd542b51ff10469ae4a210a3c80ccf42c4c47e0a07cd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:03.993667Z","signature_b64":"H5AD7SHJ+O6Zn1pbIgQmcuc222gMpfNY3bsNy6SeFn47WECdDmEl9xGFUABq89+RDzl6U9fKpqw1xTGNOW+RBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c4a5cbe1313fbd0d878bfd542b51ff10469ae4a210a3c80ccf42c4c47e0a07cd","last_reissued_at":"2026-05-18T00:27:03.993238Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:03.993238Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.10088","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":"2026-05-18T00:27:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b2z7Bw00loXRqFeNxaOEYFmpNQ7ejWPXmQNFmdiB2gnG3ejY9WMxbrpj20bw2OcQZdwXSNz2JZkflAc5gOCIBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:19:09.786508Z"},"content_sha256":"bb390c39969e3d1a44bc8258d117dadb463182a0442e813a30dfac75ad356dee","schema_version":"1.0","event_id":"sha256:bb390c39969e3d1a44bc8258d117dadb463182a0442e813a30dfac75ad356dee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:YSS4XYJRH66Q3B4L7VKCWUP7CB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"OPARC: Optimal and Precise Array Response Control Algorithm -- Part I: Fundamentals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"eess.SP","authors_text":"Bin Liao, Xiang-Gen Xia, Xuejing Zhang, Xuepan Zhang, Yue Yang, Zishu He","submitted_at":"2017-12-29T01:20:15Z","abstract_excerpt":"In this paper, the problem of how to optimally and precisely control array response levels is addressed. By using the concept of the optimal weight vector from the adaptive array theory and adding virtual interferences one by one, the change rule of the optimal weight vector is found and a new formulation of the weight vector update is thus devised. Then, the issue of how to precisely control the response level of one single direction is investigated. More specifically, we assign a virtual interference to a direction such that the response level can be precisely controlled. Moreover, the param"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.10088","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":"2026-05-18T00:27:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"880u9UtoHNzuj+QeuLjC5mCHSLJSHitr/8YDpq5aiAONBkmWBMzyDXHoGub1miIBaBYWYE4BArG0lKg7IXIrBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:19:09.786855Z"},"content_sha256":"9691cb68635b96fd48b620a712423b67d8a302e2acd10e9a5a6d7196667848e7","schema_version":"1.0","event_id":"sha256:9691cb68635b96fd48b620a712423b67d8a302e2acd10e9a5a6d7196667848e7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YSS4XYJRH66Q3B4L7VKCWUP7CB/bundle.json","state_url":"https://pith.science/pith/YSS4XYJRH66Q3B4L7VKCWUP7CB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YSS4XYJRH66Q3B4L7VKCWUP7CB/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":"2026-06-02T00:19:09Z","links":{"resolver":"https://pith.science/pith/YSS4XYJRH66Q3B4L7VKCWUP7CB","bundle":"https://pith.science/pith/YSS4XYJRH66Q3B4L7VKCWUP7CB/bundle.json","state":"https://pith.science/pith/YSS4XYJRH66Q3B4L7VKCWUP7CB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YSS4XYJRH66Q3B4L7VKCWUP7CB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:YSS4XYJRH66Q3B4L7VKCWUP7CB","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":"c95649c26ab64470203d13b5e8489f6f9efcd8dafff363203b0b8e73aa1c2146","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2017-12-29T01:20:15Z","title_canon_sha256":"5173001572c451f70b3d59e24dc812b69db98974ed8cf953312bd4b3bcc01058"},"schema_version":"1.0","source":{"id":"1712.10088","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.10088","created_at":"2026-05-18T00:27:03Z"},{"alias_kind":"arxiv_version","alias_value":"1712.10088v1","created_at":"2026-05-18T00:27:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.10088","created_at":"2026-05-18T00:27:03Z"},{"alias_kind":"pith_short_12","alias_value":"YSS4XYJRH66Q","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YSS4XYJRH66Q3B4L","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YSS4XYJR","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:9691cb68635b96fd48b620a712423b67d8a302e2acd10e9a5a6d7196667848e7","target":"graph","created_at":"2026-05-18T00:27:03Z","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 how to optimally and precisely control array response levels is addressed. By using the concept of the optimal weight vector from the adaptive array theory and adding virtual interferences one by one, the change rule of the optimal weight vector is found and a new formulation of the weight vector update is thus devised. Then, the issue of how to precisely control the response level of one single direction is investigated. More specifically, we assign a virtual interference to a direction such that the response level can be precisely controlled. Moreover, the param","authors_text":"Bin Liao, Xiang-Gen Xia, Xuejing Zhang, Xuepan Zhang, Yue Yang, Zishu He","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2017-12-29T01:20:15Z","title":"OPARC: Optimal and Precise Array Response Control Algorithm -- Part I: Fundamentals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.10088","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:bb390c39969e3d1a44bc8258d117dadb463182a0442e813a30dfac75ad356dee","target":"record","created_at":"2026-05-18T00:27:03Z","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":"c95649c26ab64470203d13b5e8489f6f9efcd8dafff363203b0b8e73aa1c2146","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2017-12-29T01:20:15Z","title_canon_sha256":"5173001572c451f70b3d59e24dc812b69db98974ed8cf953312bd4b3bcc01058"},"schema_version":"1.0","source":{"id":"1712.10088","kind":"arxiv","version":1}},"canonical_sha256":"c4a5cbe1313fbd0d878bfd542b51ff10469ae4a210a3c80ccf42c4c47e0a07cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4a5cbe1313fbd0d878bfd542b51ff10469ae4a210a3c80ccf42c4c47e0a07cd","first_computed_at":"2026-05-18T00:27:03.993238Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:03.993238Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H5AD7SHJ+O6Zn1pbIgQmcuc222gMpfNY3bsNy6SeFn47WECdDmEl9xGFUABq89+RDzl6U9fKpqw1xTGNOW+RBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:03.993667Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.10088","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb390c39969e3d1a44bc8258d117dadb463182a0442e813a30dfac75ad356dee","sha256:9691cb68635b96fd48b620a712423b67d8a302e2acd10e9a5a6d7196667848e7"],"state_sha256":"6a584decbab5a468a6c3d4078699e4cd928cf8550aec5c10ce73d484fac20422"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CxC+eAkhv6tpBZpDbIjmT+dkYlasqez4tV/dCmWXIkEXEqvA18x3P/xfLDZn61JQHItTrVvGOaEIvBnpGmsxAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T00:19:09.788817Z","bundle_sha256":"c7d838a82de2b516a7cff6830dfb7460c1aa03e3a88cb24e54fd54c2dea4cd1a"}}