{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:WU5PX6HNGU7ZEIAIWGQDF7EDGA","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":"ffdc7ee3eb06f5f98968822e3ace12f73966ab90040489766f0de413f5f7ced4","cross_cats_sorted":["math.IT"],"license":"","primary_cat":"cs.IT","submitted_at":"2007-03-03T13:14:59Z","title_canon_sha256":"691aef3ab7d3898f282f92e28f3c382318a6b56789ec12c1e691bdc400036611"},"schema_version":"1.0","source":{"id":"cs/0703016","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cs/0703016","created_at":"2026-05-18T00:58:05Z"},{"alias_kind":"arxiv_version","alias_value":"cs/0703016v3","created_at":"2026-05-18T00:58:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0703016","created_at":"2026-05-18T00:58:05Z"},{"alias_kind":"pith_short_12","alias_value":"WU5PX6HNGU7Z","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"WU5PX6HNGU7ZEIAI","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"WU5PX6HN","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:5f0ed88529f7581b9cd539fd5a5e7d9539df0f92471a830e6dcc3a9825f53925","target":"graph","created_at":"2026-05-18T00:58:05Z","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 investigate the effect of feedback delay on the outage probability of multiple-input single-output (MISO) fading channels. Channel state information at the transmitter (CSIT) is a delayed version of the channel state information available at the receiver (CSIR). We consider two cases of CSIR: (a) perfect CSIR and (b) CSI estimated at the receiver using training symbols. With perfect CSIR, under a short-term power constraint, we determine: (a) the outage probability for beamforming with imperfect CSIT (BF-IC) analytically, and (b) the optimal spatial power allocation (OSPA) scheme that minim","authors_text":"Devdutt V. Marathe, Srikrishna Bhashyam, T. R. Ramya, Venkata Sreekanta Annpureddy","cross_cats":["math.IT"],"headline":"","license":"","primary_cat":"cs.IT","submitted_at":"2007-03-03T13:14:59Z","title":"Outage Probability of Multiple-Input Single-Output (MISO) Systems with Delayed Feedback"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0703016","kind":"arxiv","version":3},"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":"sha256:2f11890660fb29e30b6daa2d0ba1c3455aacd1b9d3c83016d0e35ea40319a964","target":"record","created_at":"2026-05-18T00:58:05Z","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":"ffdc7ee3eb06f5f98968822e3ace12f73966ab90040489766f0de413f5f7ced4","cross_cats_sorted":["math.IT"],"license":"","primary_cat":"cs.IT","submitted_at":"2007-03-03T13:14:59Z","title_canon_sha256":"691aef3ab7d3898f282f92e28f3c382318a6b56789ec12c1e691bdc400036611"},"schema_version":"1.0","source":{"id":"cs/0703016","kind":"arxiv","version":3}},"canonical_sha256":"b53afbf8ed353f922008b1a032fc8330356443f30ded15752711ccebb4cd4167","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b53afbf8ed353f922008b1a032fc8330356443f30ded15752711ccebb4cd4167","first_computed_at":"2026-05-18T00:58:05.070289Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:05.070289Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ga1PIto9z3mDuoXFTqSy9q/4+7JYoZMKgafc4BR7awjEye5JLPJdNP2rNFY+B+HVX/KXvffWrEuxlpUfVWfeBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:05.070738Z","signed_message":"canonical_sha256_bytes"},"source_id":"cs/0703016","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f11890660fb29e30b6daa2d0ba1c3455aacd1b9d3c83016d0e35ea40319a964","sha256:5f0ed88529f7581b9cd539fd5a5e7d9539df0f92471a830e6dcc3a9825f53925"],"state_sha256":"c146e42ad4d833da3a5439157664bce47e678d0a7c2c8716b4c0f2f234f9c554"}