{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ELSPDKQTMTWT35AYVET5F7TUHI","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":"86609d95477de0cf8956fd2fbb279f5d2ce8ccdacf8b0efd9cedd127d6edfeb5","cross_cats_sorted":["eess.SP","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-09-17T03:28:42Z","title_canon_sha256":"6b73f87d62376c9122b12881f2f7a5dcf709e1494b842b2150a9e0edd21ee058"},"schema_version":"1.0","source":{"id":"2509.13661","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.13661","created_at":"2026-05-17T23:39:17Z"},{"alias_kind":"arxiv_version","alias_value":"2509.13661v2","created_at":"2026-05-17T23:39:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.13661","created_at":"2026-05-17T23:39:17Z"},{"alias_kind":"pith_short_12","alias_value":"ELSPDKQTMTWT","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"ELSPDKQTMTWT35AY","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"ELSPDKQT","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:b5169f31fb6350cd2b4b4a90d7423bc25c89cd43500ce0f226f13be40f20bc41","target":"graph","created_at":"2026-05-17T23:39:17Z","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":"This paper considers the beamforming and power optimization problem for a class of integrated sensing and communications (ISAC) problems that utilize the communication signals simultaneously for sensing. We formulate the problem of minimizing the Bayesian Cram\\'er-Rao bound (BCRB) on the mean-squared error of estimating a vector of parameters, while satisfying downlink signal-to-interference-and-noise-ratio constraints for a set of communication users at the same time. The proposed optimization framework comprises two key new ingredients. First, we show that the BCRB minimization problem corre","authors_text":"Kareem M. Attiah, Wei Yu","cross_cats":["eess.SP","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-09-17T03:28:42Z","title":"Uplink-Downlink Duality for Beamforming in Integrated Sensing and Communications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.13661","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:cf3806418c1745d0b1ade304bc7d6543362ad11a14eb3d78423f6b4d1252556f","target":"record","created_at":"2026-05-17T23:39:17Z","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":"86609d95477de0cf8956fd2fbb279f5d2ce8ccdacf8b0efd9cedd127d6edfeb5","cross_cats_sorted":["eess.SP","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2025-09-17T03:28:42Z","title_canon_sha256":"6b73f87d62376c9122b12881f2f7a5dcf709e1494b842b2150a9e0edd21ee058"},"schema_version":"1.0","source":{"id":"2509.13661","kind":"arxiv","version":2}},"canonical_sha256":"22e4f1aa1364ed3df418a927d2fe743a0e6e117468bc8fd51aaa6e77db6d540d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22e4f1aa1364ed3df418a927d2fe743a0e6e117468bc8fd51aaa6e77db6d540d","first_computed_at":"2026-05-17T23:39:17.506564Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:17.506564Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+FC8PkVty1ANYrwgByM5VBRi0p0mIT2QCm9bVFAMmoknQQj6nwFAVH9AtHf1mk9X9PSHNX6/RjWwCUsK0GD9CA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:17.507220Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.13661","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cf3806418c1745d0b1ade304bc7d6543362ad11a14eb3d78423f6b4d1252556f","sha256:b5169f31fb6350cd2b4b4a90d7423bc25c89cd43500ce0f226f13be40f20bc41"],"state_sha256":"d339483798d42ca11f4871c4413e51d219fa07c63a410de8a85c1af1ae915c13"}