{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:H2XFNFIPI7J7AKNN5OQUA5GFJC","short_pith_number":"pith:H2XFNFIP","canonical_record":{"source":{"id":"2412.06178","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2024-12-09T03:30:38Z","cross_cats_sorted":["eess.SP","math.IT"],"title_canon_sha256":"85f9e0e39e44a31fb329587c5d811bcfee792d9c5f7b3bc17814548ce3b69bff","abstract_canon_sha256":"1c4aaa3cedc1adf6b6fa78054f5660166718add6cafe979a51812ffef9c74cc8"},"schema_version":"1.0"},"canonical_sha256":"3eae56950f47d3f029adeba14074c548b32a3c7aea68a25220c7d18c235f561b","source":{"kind":"arxiv","id":"2412.06178","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.06178","created_at":"2026-07-05T09:46:16Z"},{"alias_kind":"arxiv_version","alias_value":"2412.06178v1","created_at":"2026-07-05T09:46:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.06178","created_at":"2026-07-05T09:46:16Z"},{"alias_kind":"pith_short_12","alias_value":"H2XFNFIPI7J7","created_at":"2026-07-05T09:46:16Z"},{"alias_kind":"pith_short_16","alias_value":"H2XFNFIPI7J7AKNN","created_at":"2026-07-05T09:46:16Z"},{"alias_kind":"pith_short_8","alias_value":"H2XFNFIP","created_at":"2026-07-05T09:46:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:H2XFNFIPI7J7AKNN5OQUA5GFJC","target":"record","payload":{"canonical_record":{"source":{"id":"2412.06178","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2024-12-09T03:30:38Z","cross_cats_sorted":["eess.SP","math.IT"],"title_canon_sha256":"85f9e0e39e44a31fb329587c5d811bcfee792d9c5f7b3bc17814548ce3b69bff","abstract_canon_sha256":"1c4aaa3cedc1adf6b6fa78054f5660166718add6cafe979a51812ffef9c74cc8"},"schema_version":"1.0"},"canonical_sha256":"3eae56950f47d3f029adeba14074c548b32a3c7aea68a25220c7d18c235f561b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:46:16.735878Z","signature_b64":"rnCW4aP2eCIGKdtCEYfVmucxgGc2HTWiFFMxWwsL1MKjNN9Vz+HoqmWRelg7JJPo+htPRkoPDCu81PivwMk2Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3eae56950f47d3f029adeba14074c548b32a3c7aea68a25220c7d18c235f561b","last_reissued_at":"2026-07-05T09:46:16.735416Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:46:16.735416Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.06178","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":"2026-07-05T09:46:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rtSCRD4ZGgJyWSCrw3EDVWd/brVvPVWdXB9547qvLyZgaU/dGdbue0EcUYyfuCbd0sVAHf8AxYdQnj3vvDC9DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T15:00:15.061169Z"},"content_sha256":"b48a1d337016fc6b300af40c67c6102cd819212ffc931d11755855d199732b4c","schema_version":"1.0","event_id":"sha256:b48a1d337016fc6b300af40c67c6102cd819212ffc931d11755855d199732b4c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:H2XFNFIPI7J7AKNN5OQUA5GFJC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deep Unfolding Beamforming and Power Control Designs for Multi-Port Matching Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["eess.SP","math.IT"],"primary_cat":"cs.IT","authors_text":"Bo Ai, Bokai Xu, Huahua Xiao, Jiayi Zhang, Qingfeng Lin, Yik-Chung Wu","submitted_at":"2024-12-09T03:30:38Z","abstract_excerpt":"The key technologies of sixth generation (6G), such as ultra-massive multiple-input multiple-output (MIMO), enable intricate interactions between antennas and wireless propagation environments. As a result, it becomes necessary to develop joint models that encompass both antennas and wireless propagation channels. To achieve this, we utilize the multi-port communication theory, which considers impedance matching among the source, transmission medium, and load to facilitate efficient power transfer. Specifically, we first investigate the impact of insertion loss, mutual coupling, and other fact"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.06178","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.06178/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:46:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E8Q6Elc4EZ59wtp8cH9DWwPzouSCr/iYzzaq6QwG8872PFqdV9FDAqVS+UCbNAQmpiE8iglvlH7PF1XqsxDTDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T15:00:15.061692Z"},"content_sha256":"3a586504586a8cf3984b212b7ed668325d600487cf50ef611d354d725bf312d4","schema_version":"1.0","event_id":"sha256:3a586504586a8cf3984b212b7ed668325d600487cf50ef611d354d725bf312d4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H2XFNFIPI7J7AKNN5OQUA5GFJC/bundle.json","state_url":"https://pith.science/pith/H2XFNFIPI7J7AKNN5OQUA5GFJC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H2XFNFIPI7J7AKNN5OQUA5GFJC/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":"2026-08-19T15:00:15Z","links":{"resolver":"https://pith.science/pith/H2XFNFIPI7J7AKNN5OQUA5GFJC","bundle":"https://pith.science/pith/H2XFNFIPI7J7AKNN5OQUA5GFJC/bundle.json","state":"https://pith.science/pith/H2XFNFIPI7J7AKNN5OQUA5GFJC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H2XFNFIPI7J7AKNN5OQUA5GFJC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:H2XFNFIPI7J7AKNN5OQUA5GFJC","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":"1c4aaa3cedc1adf6b6fa78054f5660166718add6cafe979a51812ffef9c74cc8","cross_cats_sorted":["eess.SP","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2024-12-09T03:30:38Z","title_canon_sha256":"85f9e0e39e44a31fb329587c5d811bcfee792d9c5f7b3bc17814548ce3b69bff"},"schema_version":"1.0","source":{"id":"2412.06178","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.06178","created_at":"2026-07-05T09:46:16Z"},{"alias_kind":"arxiv_version","alias_value":"2412.06178v1","created_at":"2026-07-05T09:46:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.06178","created_at":"2026-07-05T09:46:16Z"},{"alias_kind":"pith_short_12","alias_value":"H2XFNFIPI7J7","created_at":"2026-07-05T09:46:16Z"},{"alias_kind":"pith_short_16","alias_value":"H2XFNFIPI7J7AKNN","created_at":"2026-07-05T09:46:16Z"},{"alias_kind":"pith_short_8","alias_value":"H2XFNFIP","created_at":"2026-07-05T09:46:16Z"}],"graph_snapshots":[{"event_id":"sha256:3a586504586a8cf3984b212b7ed668325d600487cf50ef611d354d725bf312d4","target":"graph","created_at":"2026-07-05T09:46:16Z","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/2412.06178/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The key technologies of sixth generation (6G), such as ultra-massive multiple-input multiple-output (MIMO), enable intricate interactions between antennas and wireless propagation environments. As a result, it becomes necessary to develop joint models that encompass both antennas and wireless propagation channels. To achieve this, we utilize the multi-port communication theory, which considers impedance matching among the source, transmission medium, and load to facilitate efficient power transfer. Specifically, we first investigate the impact of insertion loss, mutual coupling, and other fact","authors_text":"Bo Ai, Bokai Xu, Huahua Xiao, Jiayi Zhang, Qingfeng Lin, Yik-Chung Wu","cross_cats":["eess.SP","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2024-12-09T03:30:38Z","title":"Deep Unfolding Beamforming and Power Control Designs for Multi-Port Matching Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.06178","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:b48a1d337016fc6b300af40c67c6102cd819212ffc931d11755855d199732b4c","target":"record","created_at":"2026-07-05T09:46:16Z","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":"1c4aaa3cedc1adf6b6fa78054f5660166718add6cafe979a51812ffef9c74cc8","cross_cats_sorted":["eess.SP","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2024-12-09T03:30:38Z","title_canon_sha256":"85f9e0e39e44a31fb329587c5d811bcfee792d9c5f7b3bc17814548ce3b69bff"},"schema_version":"1.0","source":{"id":"2412.06178","kind":"arxiv","version":1}},"canonical_sha256":"3eae56950f47d3f029adeba14074c548b32a3c7aea68a25220c7d18c235f561b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3eae56950f47d3f029adeba14074c548b32a3c7aea68a25220c7d18c235f561b","first_computed_at":"2026-07-05T09:46:16.735416Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:46:16.735416Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rnCW4aP2eCIGKdtCEYfVmucxgGc2HTWiFFMxWwsL1MKjNN9Vz+HoqmWRelg7JJPo+htPRkoPDCu81PivwMk2Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:46:16.735878Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.06178","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b48a1d337016fc6b300af40c67c6102cd819212ffc931d11755855d199732b4c","sha256:3a586504586a8cf3984b212b7ed668325d600487cf50ef611d354d725bf312d4"],"state_sha256":"47fcec769ddcbe28b6a080155719732d10d41738f3fe9e8bb64636646cb51dda"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3nbi4AXGQ/MWirOFITJ36UBK8XQtVGV6HgKWjUJNadnFcRGUOI8HiIv107ro4MSqtYmwEItzeTEtmmPFUAtbDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T15:00:15.073232Z","bundle_sha256":"773ff9bb42a89e360a05688ab844683bb747476b187b4c0c80af4ab670c3d262"}}