{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:3ER65KTA3L3UPIBBRZ7IP3LPO2","short_pith_number":"pith:3ER65KTA","canonical_record":{"source":{"id":"2406.09192","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2024-06-13T14:53:30Z","cross_cats_sorted":[],"title_canon_sha256":"7269fc40e099ea48689da7af3b65ec293c2144e8153c39dcb0929ef87eb07312","abstract_canon_sha256":"ecb1023003c2cbb0e2b7f78375a5a9fc0fc37801571524be1c9dcae5ba7f6253"},"schema_version":"1.0"},"canonical_sha256":"d923eeaa60daf747a0218e7e87ed6f768df2d671b929961c4a5df65ddbe40929","source":{"kind":"arxiv","id":"2406.09192","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.09192","created_at":"2026-07-05T08:36:48Z"},{"alias_kind":"arxiv_version","alias_value":"2406.09192v2","created_at":"2026-07-05T08:36:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.09192","created_at":"2026-07-05T08:36:48Z"},{"alias_kind":"pith_short_12","alias_value":"3ER65KTA3L3U","created_at":"2026-07-05T08:36:48Z"},{"alias_kind":"pith_short_16","alias_value":"3ER65KTA3L3UPIBB","created_at":"2026-07-05T08:36:48Z"},{"alias_kind":"pith_short_8","alias_value":"3ER65KTA","created_at":"2026-07-05T08:36:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:3ER65KTA3L3UPIBBRZ7IP3LPO2","target":"record","payload":{"canonical_record":{"source":{"id":"2406.09192","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2024-06-13T14:53:30Z","cross_cats_sorted":[],"title_canon_sha256":"7269fc40e099ea48689da7af3b65ec293c2144e8153c39dcb0929ef87eb07312","abstract_canon_sha256":"ecb1023003c2cbb0e2b7f78375a5a9fc0fc37801571524be1c9dcae5ba7f6253"},"schema_version":"1.0"},"canonical_sha256":"d923eeaa60daf747a0218e7e87ed6f768df2d671b929961c4a5df65ddbe40929","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:36:48.506286Z","signature_b64":"dDecB7QPe0QptCAue3nhha6InIFP6rvr8ZFsO2EpZmCdfV9mMX59MVf6Tst5pgZvNXNpuxlVj67DW78zbHFzBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d923eeaa60daf747a0218e7e87ed6f768df2d671b929961c4a5df65ddbe40929","last_reissued_at":"2026-07-05T08:36:48.505863Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:36:48.505863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.09192","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":"2026-07-05T08:36:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zNbAQ0qrLkJW6y2jIxXHLsquZpXCNpvMdkQtDvdmUWq34f1EKeTATO1IAa88LzAj+E2IXn+ZlyhitGn0hJmCCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T19:33:42.696513Z"},"content_sha256":"646d704a16d8f04c0e4f6c28619faff7cc1a83168ef2326bdfa1174be0f1abd3","schema_version":"1.0","event_id":"sha256:646d704a16d8f04c0e4f6c28619faff7cc1a83168ef2326bdfa1174be0f1abd3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:3ER65KTA3L3UPIBBRZ7IP3LPO2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Joint Power Allocation and Beamforming Design for Active IRS-Aided Directional Modulation Secure Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"eess.SP","authors_text":"Feng Shu, Kaibo Zhou, Ruiqi Liu, Wei Gao, Xiaoyu Wang, Xuehui Wang, Yan Wang, Yifan Zhao","submitted_at":"2024-06-13T14:53:30Z","abstract_excerpt":"Since the secrecy rate (SR) performance improvement obtained by secure directional modulation (DM) network is limited, an active intelligent reflective surface (IRS)-assisted DM network is considered to attain a high SR. To address the SR maximization problem, a novel method based on Lagrangian dual transform and closed-form fractional programming algorithm (LDT-CFFP) is proposed, where the solutions to base station (BS) beamforming vectors and IRS reflection coefficient matrix are achieved. However, the computational complexity of LDT-CFFP method is high . To reduce its complexity, a blocked "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.09192","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2406.09192/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":"2026-07-05T08:36:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yLdTzbEbMmZvzCYdTnWMvjmJBHsraxC9uHzIGMyh8QxTaR0KniZXieI7tWhIgjbhZWU8li04xL9ih1EO3t3ODQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T19:33:42.696812Z"},"content_sha256":"a15bc3060bb98d4d604ff8d81994fe118db112f510f9550fc17a12d6e8ed7c7f","schema_version":"1.0","event_id":"sha256:a15bc3060bb98d4d604ff8d81994fe118db112f510f9550fc17a12d6e8ed7c7f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3ER65KTA3L3UPIBBRZ7IP3LPO2/bundle.json","state_url":"https://pith.science/pith/3ER65KTA3L3UPIBBRZ7IP3LPO2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3ER65KTA3L3UPIBBRZ7IP3LPO2/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":"2026-07-31T19:33:42Z","links":{"resolver":"https://pith.science/pith/3ER65KTA3L3UPIBBRZ7IP3LPO2","bundle":"https://pith.science/pith/3ER65KTA3L3UPIBBRZ7IP3LPO2/bundle.json","state":"https://pith.science/pith/3ER65KTA3L3UPIBBRZ7IP3LPO2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3ER65KTA3L3UPIBBRZ7IP3LPO2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:3ER65KTA3L3UPIBBRZ7IP3LPO2","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":"ecb1023003c2cbb0e2b7f78375a5a9fc0fc37801571524be1c9dcae5ba7f6253","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2024-06-13T14:53:30Z","title_canon_sha256":"7269fc40e099ea48689da7af3b65ec293c2144e8153c39dcb0929ef87eb07312"},"schema_version":"1.0","source":{"id":"2406.09192","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.09192","created_at":"2026-07-05T08:36:48Z"},{"alias_kind":"arxiv_version","alias_value":"2406.09192v2","created_at":"2026-07-05T08:36:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.09192","created_at":"2026-07-05T08:36:48Z"},{"alias_kind":"pith_short_12","alias_value":"3ER65KTA3L3U","created_at":"2026-07-05T08:36:48Z"},{"alias_kind":"pith_short_16","alias_value":"3ER65KTA3L3UPIBB","created_at":"2026-07-05T08:36:48Z"},{"alias_kind":"pith_short_8","alias_value":"3ER65KTA","created_at":"2026-07-05T08:36:48Z"}],"graph_snapshots":[{"event_id":"sha256:a15bc3060bb98d4d604ff8d81994fe118db112f510f9550fc17a12d6e8ed7c7f","target":"graph","created_at":"2026-07-05T08:36:48Z","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/2406.09192/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Since the secrecy rate (SR) performance improvement obtained by secure directional modulation (DM) network is limited, an active intelligent reflective surface (IRS)-assisted DM network is considered to attain a high SR. To address the SR maximization problem, a novel method based on Lagrangian dual transform and closed-form fractional programming algorithm (LDT-CFFP) is proposed, where the solutions to base station (BS) beamforming vectors and IRS reflection coefficient matrix are achieved. However, the computational complexity of LDT-CFFP method is high . To reduce its complexity, a blocked ","authors_text":"Feng Shu, Kaibo Zhou, Ruiqi Liu, Wei Gao, Xiaoyu Wang, Xuehui Wang, Yan Wang, Yifan Zhao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2024-06-13T14:53:30Z","title":"Joint Power Allocation and Beamforming Design for Active IRS-Aided Directional Modulation Secure Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.09192","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":"sha256:646d704a16d8f04c0e4f6c28619faff7cc1a83168ef2326bdfa1174be0f1abd3","target":"record","created_at":"2026-07-05T08:36:48Z","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":"ecb1023003c2cbb0e2b7f78375a5a9fc0fc37801571524be1c9dcae5ba7f6253","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2024-06-13T14:53:30Z","title_canon_sha256":"7269fc40e099ea48689da7af3b65ec293c2144e8153c39dcb0929ef87eb07312"},"schema_version":"1.0","source":{"id":"2406.09192","kind":"arxiv","version":2}},"canonical_sha256":"d923eeaa60daf747a0218e7e87ed6f768df2d671b929961c4a5df65ddbe40929","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d923eeaa60daf747a0218e7e87ed6f768df2d671b929961c4a5df65ddbe40929","first_computed_at":"2026-07-05T08:36:48.505863Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:36:48.505863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dDecB7QPe0QptCAue3nhha6InIFP6rvr8ZFsO2EpZmCdfV9mMX59MVf6Tst5pgZvNXNpuxlVj67DW78zbHFzBg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:36:48.506286Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.09192","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:646d704a16d8f04c0e4f6c28619faff7cc1a83168ef2326bdfa1174be0f1abd3","sha256:a15bc3060bb98d4d604ff8d81994fe118db112f510f9550fc17a12d6e8ed7c7f"],"state_sha256":"0ca815c078237a840069d819ff887421be4847b7400502cc39a3797041044b31"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DoZHrLOLO3JDEN/Hxv+ckgjjUa8YFq6BkI5CzPA1iU/XTspMvDgGr7C7AFEJHTkRKkR+yqwZYLP38HW/V7kYBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-31T19:33:42.699181Z","bundle_sha256":"7e2c88e1db9e2426fc4d1211e6770ed5177ca8d6ac7d0f33ecb3abcd1c24f606"}}