{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MFMOPDQVHBBSMIGLLNKW5MYVNT","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":"a9908c5ff3e01550f43d87d0b98dfd2a4641d0cc0006d5724b991fc4c22f9fd4","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-03-22T18:58:26Z","title_canon_sha256":"a179e6ab2f06d986e1cc30e71145ce0a921e440947cb2cbd291417eead8d80ad"},"schema_version":"1.0","source":{"id":"1603.06910","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.06910","created_at":"2026-05-18T01:18:34Z"},{"alias_kind":"arxiv_version","alias_value":"1603.06910v1","created_at":"2026-05-18T01:18:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.06910","created_at":"2026-05-18T01:18:34Z"},{"alias_kind":"pith_short_12","alias_value":"MFMOPDQVHBBS","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MFMOPDQVHBBSMIGL","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MFMOPDQV","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:f83ae9d2b4a1bc8968025c4020d53f51c33c62dd34ebfcde3d81e121b2d34cd7","target":"graph","created_at":"2026-05-18T01:18:34Z","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":"We study the degrees of freedom (DoF) regions of the two-user multiple-input multiple-output (MIMO) broadcast channel with a general message set (BC-CM) - that includes private and common messages - under fast fading. Nine different channel state knowledge assumptions -collectively known as hybrid CSIT models - are considered wherein the transmitter has either perfect/instantaneous (P), delayed (D) or no (N) channel state information (CSI) from each of the two receivers. General antenna configurations are addressed wherein the three terminals have arbitrary numbers of antennas. The DoF regions","authors_text":"Mahesh K. Varanasi, Yao Wang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-03-22T18:58:26Z","title":"Degrees of Freedom of the Two-User MIMO Broadcast Channel with Private and Common Messages Under Hybrid CSIT Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.06910","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":"sha256:8ca49c2153ce51ca62810770832435ebda29ca77df4aa0cd3693581d0eb182b6","target":"record","created_at":"2026-05-18T01:18:34Z","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":"a9908c5ff3e01550f43d87d0b98dfd2a4641d0cc0006d5724b991fc4c22f9fd4","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-03-22T18:58:26Z","title_canon_sha256":"a179e6ab2f06d986e1cc30e71145ce0a921e440947cb2cbd291417eead8d80ad"},"schema_version":"1.0","source":{"id":"1603.06910","kind":"arxiv","version":1}},"canonical_sha256":"6158e78e1538432620cb5b556eb3156cf30cf7a9203b4d15cd2cb996700ff05b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6158e78e1538432620cb5b556eb3156cf30cf7a9203b4d15cd2cb996700ff05b","first_computed_at":"2026-05-18T01:18:34.439856Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:34.439856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hHzC7UafVTpuruy3VBgTxpOiWryn0NVNxlYsaLHK0UBiQda6lMKcmndE9DE0RiRqyHmd4/Lj6UH62VmZDCGqCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:34.440527Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.06910","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ca49c2153ce51ca62810770832435ebda29ca77df4aa0cd3693581d0eb182b6","sha256:f83ae9d2b4a1bc8968025c4020d53f51c33c62dd34ebfcde3d81e121b2d34cd7"],"state_sha256":"e767440032cd58b8f229f12389fbef019b13bb1c82d79dd0322dca665adf18db"}