{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:66KOSJU23OXPTRB626DM3WAJPS","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":"580f1ab157cb72593e55e1f21c35717394458b28b87c8645814fc68606b02797","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-06-25T08:42:02Z","title_canon_sha256":"adea966b9d78ed86a8b56d2a00be6f1c5888b598cb550ab64a21cd6d242a52df"},"schema_version":"1.0","source":{"id":"1806.09326","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.09326","created_at":"2026-05-18T00:12:29Z"},{"alias_kind":"arxiv_version","alias_value":"1806.09326v1","created_at":"2026-05-18T00:12:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.09326","created_at":"2026-05-18T00:12:29Z"},{"alias_kind":"pith_short_12","alias_value":"66KOSJU23OXP","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"66KOSJU23OXPTRB6","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"66KOSJU2","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:a24fbc0f828dd132e7306125823b07df70908de4fd23938814f5ddffb5ab5e3e","target":"graph","created_at":"2026-05-18T00:12:29Z","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, the outage performance of relay-assisted millimeter wave (mmWave) cellular systems employing joint spatial division and multiplexing (JSDM) is investigated. It is assumed that the macro base station (BS) equipped with a large number of antennas serves the single antenna pico BS (as a relay) and users simultaneously, and that the pico BS is located at the edge of the macro cell. Theoretical analysis of the signal-to-interference-plus-noise ratio (SINR) outage probability of each user is first obtained. The cell SINR outage probability is then derived. Under the noise-limited assu","authors_text":"Deli Qiao, Jun Chen","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-06-25T08:42:02Z","title":"Outage Analysis of Relay-Assisted mmWave Cellular Systems Employing JSDM"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.09326","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":"sha256:0952d629e870315580152f77f0181cecde75e17c36add012ee33cc300990adfe","target":"record","created_at":"2026-05-18T00:12:29Z","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":"580f1ab157cb72593e55e1f21c35717394458b28b87c8645814fc68606b02797","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-06-25T08:42:02Z","title_canon_sha256":"adea966b9d78ed86a8b56d2a00be6f1c5888b598cb550ab64a21cd6d242a52df"},"schema_version":"1.0","source":{"id":"1806.09326","kind":"arxiv","version":1}},"canonical_sha256":"f794e9269adbaef9c43ed786cdd8097ca990e27db97dbe7cd8a96fa6710172f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f794e9269adbaef9c43ed786cdd8097ca990e27db97dbe7cd8a96fa6710172f3","first_computed_at":"2026-05-18T00:12:29.655977Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:29.655977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ODYo+OSa6rkQ4Ep+uAzn+Had2+Q3FJWVzKbW9bCZ26xmO9MZnpha08bVv+JGlRVdsNWCMVAwBZMIKerAViSBBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:29.656625Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.09326","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0952d629e870315580152f77f0181cecde75e17c36add012ee33cc300990adfe","sha256:a24fbc0f828dd132e7306125823b07df70908de4fd23938814f5ddffb5ab5e3e"],"state_sha256":"53d9415ee2d1867095a0c1435575b6295fde0d0a6fdb91552de25777bce8de07"}