{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:EOUPGVQF7ITDZAFVGGZAHEZHQM","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":"2b9f2224db0b1d0989e83472fa867942920949477d514c738124330f6496f2b5","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-19T16:54:21Z","title_canon_sha256":"cf6356a1231b38625885d22c5b47895860e0e79b2ff9b424f9da07e0cd8ea0dd"},"schema_version":"1.0","source":{"id":"1402.4729","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.4729","created_at":"2026-05-18T02:58:33Z"},{"alias_kind":"arxiv_version","alias_value":"1402.4729v1","created_at":"2026-05-18T02:58:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.4729","created_at":"2026-05-18T02:58:33Z"},{"alias_kind":"pith_short_12","alias_value":"EOUPGVQF7ITD","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"EOUPGVQF7ITDZAFV","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"EOUPGVQF","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:c50fe99ea3f0e4346f229c35dfa576340fe027276c3435cb15f02698587ab563","target":"graph","created_at":"2026-05-18T02:58:33Z","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":"The 3-user multiple-input single-output (MISO) broadcast channel (BC) with hybrid channel state information at the transmitter (CSIT) is considered. In this framework, there is perfect and instantaneous CSIT from a subset of users and delayed CSIT from the remaining users. We present new results on the degrees of freedom (DoF) of the 3-user MISO BC with hybrid CSIT. In particular, for the case of 2 transmit antennas, we show that with perfect CSIT from one user and delayed CSIT from the remaining two users, the optimal DoF is 5/3. For the case of 3 transmit antennas and the same hybrid CSIT se","authors_text":"Ravi Tandon, SaiDhiraj Amuru, Shlomo Shamai (Shitz)","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-19T16:54:21Z","title":"On the Degrees-of-freedom of the 3-user MISO Broadcast Channel with Hybrid CSIT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.4729","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":"sha256:7612bdb99518f41e847fa53cf929b219b5f2d66cf663d3496df672e506e28ad0","target":"record","created_at":"2026-05-18T02:58:33Z","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":"2b9f2224db0b1d0989e83472fa867942920949477d514c738124330f6496f2b5","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-19T16:54:21Z","title_canon_sha256":"cf6356a1231b38625885d22c5b47895860e0e79b2ff9b424f9da07e0cd8ea0dd"},"schema_version":"1.0","source":{"id":"1402.4729","kind":"arxiv","version":1}},"canonical_sha256":"23a8f35605fa263c80b531b2039327832403402bf0f8001e89eba47984884722","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23a8f35605fa263c80b531b2039327832403402bf0f8001e89eba47984884722","first_computed_at":"2026-05-18T02:58:33.328287Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:33.328287Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jMZXb0yrjACJQwe90Melcccer1FAUG9cxIftj91q74I1QLLHtiPQ28GJAZBBqDOU4/GD9dxeEYddTmL63QAqAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:33.329338Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.4729","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7612bdb99518f41e847fa53cf929b219b5f2d66cf663d3496df672e506e28ad0","sha256:c50fe99ea3f0e4346f229c35dfa576340fe027276c3435cb15f02698587ab563"],"state_sha256":"b156f268f17bba3df9e90938db6f5d23f40c45f4aafa528ced44cd6fd1ae22a2"}