{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YLV5XTBSFCGAQBTTHPHO5AYAYZ","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":"169174a8ed3c04463a0e7214880c36c27fc87c376c41984cde18cf2e497980b9","cross_cats_sorted":["cs.NI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-10-29T20:55:56Z","title_canon_sha256":"45d85327408708638e521f137b7085f3e4adf0e65cf45aabf974153b22c3e70f"},"schema_version":"1.0","source":{"id":"1210.7837","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.7837","created_at":"2026-05-18T02:45:05Z"},{"alias_kind":"arxiv_version","alias_value":"1210.7837v3","created_at":"2026-05-18T02:45:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.7837","created_at":"2026-05-18T02:45:05Z"},{"alias_kind":"pith_short_12","alias_value":"YLV5XTBSFCGA","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"YLV5XTBSFCGAQBTT","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"YLV5XTBS","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:d779271e38b7773617d987c3949a228509d499176775dae906fa4cf361a9fe4f","target":"graph","created_at":"2026-05-18T02:45:05Z","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 consider a scheduler for the downlink of a wireless channel when only partial channel-state information is available at the scheduler. We characterize the network stability region and provide two throughput-optimal scheduling policies. We also derive a deterministic bound on the mean packet delay in the network. Finally, we provide a throughput-optimal policy for the network under QoS constraints when real-time and rate-guaranteed data traffic may be present.","authors_text":"Santanu Mondal, Vinod Sharma","cross_cats":["cs.NI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-10-29T20:55:56Z","title":"Scheduling Under Fading and Partial Channel Information"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.7837","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":"sha256:6d265a6a1a36ea1114fd20a6a9d3eeb0ef699b34cb1ede7226e946f14133d69e","target":"record","created_at":"2026-05-18T02:45:05Z","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":"169174a8ed3c04463a0e7214880c36c27fc87c376c41984cde18cf2e497980b9","cross_cats_sorted":["cs.NI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-10-29T20:55:56Z","title_canon_sha256":"45d85327408708638e521f137b7085f3e4adf0e65cf45aabf974153b22c3e70f"},"schema_version":"1.0","source":{"id":"1210.7837","kind":"arxiv","version":3}},"canonical_sha256":"c2ebdbcc32288c0806733bceee8300c64728205873c09dc55a9c38014be1a06e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2ebdbcc32288c0806733bceee8300c64728205873c09dc55a9c38014be1a06e","first_computed_at":"2026-05-18T02:45:05.144601Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:45:05.144601Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sfErY/ukmWrMlcOWaXgojmU9RJJCbrc9hX6uK3EXma3gcbXpyjoSd9+USkQyLGFp0RqIiWc7yPWrtFTdiyhsBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:45:05.145047Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.7837","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d265a6a1a36ea1114fd20a6a9d3eeb0ef699b34cb1ede7226e946f14133d69e","sha256:d779271e38b7773617d987c3949a228509d499176775dae906fa4cf361a9fe4f"],"state_sha256":"b94f30daae1d69e2771aaf517fd3ee7de12cd9dd761e53324ae96df727b00205"}