{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:576Q3HMDV3UNEMFR2VGEK7W2V7","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":"20777b543e0b7ce09863b1381441ff1efed78a98c069185483d4d4a4cf6beb32","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-12-02T19:05:23Z","title_canon_sha256":"663e9b81357723fde340de5bce145c930d044d00b90d04c6e3e6be091b9baf7d"},"schema_version":"1.0","source":{"id":"1412.1023","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.1023","created_at":"2026-05-18T02:32:15Z"},{"alias_kind":"arxiv_version","alias_value":"1412.1023v1","created_at":"2026-05-18T02:32:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.1023","created_at":"2026-05-18T02:32:15Z"},{"alias_kind":"pith_short_12","alias_value":"576Q3HMDV3UN","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"576Q3HMDV3UNEMFR","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"576Q3HMD","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:2927c414889f4f9fe2186f9badf5551b900aa318dd8668268990d83c5f9b7b77","target":"graph","created_at":"2026-05-18T02:32:15Z","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":"In this paper, we study the achievable degrees-of-freedom (DoF) regions of the $K$-user multiple-input-single-output (MISO) time correlated broadcast channel (BC). The time correlation induces knowledge of the current channel state information at transmitter (CSIT) with an estimation error $P^{-\\alpha}$, where $P$ is the signal-to-noise ratio (SNR). We consider the following two scenarios: $(i)$ $K$-user with $K$-antenna base station (BS) and $(ii)$ $3$-user with $2$-antenna BS. In case of symmetric DoF tuples, where all the users obtain the same DoF, we derive the total DoF equal to $\\frac{K(","authors_text":"Anastasios K. Papazafeiropoulos, Tharmalingam Ratnarajah, Yi Luo","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-12-02T19:05:23Z","title":"Degrees-of-Freedom Regions for $K$-User MISO Time-Correlated Broadcast Channel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.1023","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":"sha256:877df533bd84b4012c7c663e255de57e97655f4143cd07aa1d308479e72fb4a4","target":"record","created_at":"2026-05-18T02:32:15Z","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":"20777b543e0b7ce09863b1381441ff1efed78a98c069185483d4d4a4cf6beb32","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-12-02T19:05:23Z","title_canon_sha256":"663e9b81357723fde340de5bce145c930d044d00b90d04c6e3e6be091b9baf7d"},"schema_version":"1.0","source":{"id":"1412.1023","kind":"arxiv","version":1}},"canonical_sha256":"effd0d9d83aee8d230b1d54c457edaafdd119be6d1ff6ece3cdcca715f44be10","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"effd0d9d83aee8d230b1d54c457edaafdd119be6d1ff6ece3cdcca715f44be10","first_computed_at":"2026-05-18T02:32:15.076882Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:15.076882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZTZshU6Z4tvrSbyXrZqx/vmkCdcog95SQJlXS0hCAP9V4Qzi7Cyh7Vu0w/g2KEZS5DVha/8RfYt9zvN4qr0FCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:15.077689Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.1023","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:877df533bd84b4012c7c663e255de57e97655f4143cd07aa1d308479e72fb4a4","sha256:2927c414889f4f9fe2186f9badf5551b900aa318dd8668268990d83c5f9b7b77"],"state_sha256":"324004772248c5030b064c2f5fa2861af3c4e8e948070a0c62fa51b34195fe67"}