{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ZHUNAD4JTYVOP4OQM3GP5LDUIO","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":"7628e62e402aef039d83cd3383c3590e440e41bd974b42533505e3136c9dac3f","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-19T06:58:38Z","title_canon_sha256":"bca61bef300352b212ec885aa1dedc78e8c6f0fe833a07db146f0b5cc16d0b21"},"schema_version":"1.0","source":{"id":"1409.5532","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.5532","created_at":"2026-05-18T00:57:51Z"},{"alias_kind":"arxiv_version","alias_value":"1409.5532v1","created_at":"2026-05-18T00:57:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5532","created_at":"2026-05-18T00:57:51Z"},{"alias_kind":"pith_short_12","alias_value":"ZHUNAD4JTYVO","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZHUNAD4JTYVOP4OQ","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZHUNAD4J","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:ab4c5a9d644086d6412a8e551410822752da76c86ff236cfa03d6d096c65f8c1","target":"graph","created_at":"2026-05-18T00:57:51Z","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 K-user multiple-input and multiple-output (MIMO) broadcast channel (BC) with no channel state information at the transmitter (CSIT) is considered, where each receiver is assumed to be equipped with reconfigurable antennas capable of choosing a subset of receiving modes from several preset modes. Under general antenna configurations, the sum linear degrees of freedom (LDoF) of the K-user MIMO BC with reconfigurable antennas is completely characterized, which corresponds to the maximum sum DoF achievable by linear coding strategies. The LDoF region is further characterized for a class of ant","authors_text":"Dong Ku Kim, Minho Yang, Sang-Woon Jeon","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-19T06:58:38Z","title":"Linear Degrees of Freedom of MIMO Broadcast Channels with Reconfigurable Antennas in the Absence of CSIT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5532","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:e41ccfc6f58045d8032598a8e587540215fe4ccbd3893599b2941902c7b5b079","target":"record","created_at":"2026-05-18T00:57:51Z","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":"7628e62e402aef039d83cd3383c3590e440e41bd974b42533505e3136c9dac3f","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-09-19T06:58:38Z","title_canon_sha256":"bca61bef300352b212ec885aa1dedc78e8c6f0fe833a07db146f0b5cc16d0b21"},"schema_version":"1.0","source":{"id":"1409.5532","kind":"arxiv","version":1}},"canonical_sha256":"c9e8d00f899e2ae7f1d066ccfeac74438904b107fe61fbc1eaf73d15fdc5f242","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c9e8d00f899e2ae7f1d066ccfeac74438904b107fe61fbc1eaf73d15fdc5f242","first_computed_at":"2026-05-18T00:57:51.479337Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:51.479337Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QDWVOMoNC+SSwQO3VIxYHZgi56/rKIzA13GhAzpioJCPmlHG1znjh3q/30dspLfeg8D/7WJVuTNqsI2lgK9UCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:51.479972Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.5532","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e41ccfc6f58045d8032598a8e587540215fe4ccbd3893599b2941902c7b5b079","sha256:ab4c5a9d644086d6412a8e551410822752da76c86ff236cfa03d6d096c65f8c1"],"state_sha256":"1ff0a98a2d0eea25cea761370af86be2b176c7c4199b7b9e1de0b58c0cb136e7"}