{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:IQ2I4SBAIISU6V5RFTYA4DOLSG","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":"1aa4dd4093c487a2c4dfeb92e8d85dd2c07bd570ffb26643baa3f3b0ba42beb6","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-07-18T15:13:15Z","title_canon_sha256":"0c9b1029bb7d049a73fdd0789b2ce70f1c577e60ef3ff2a9265c9d61df737548"},"schema_version":"1.0","source":{"id":"1207.4393","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.4393","created_at":"2026-05-18T01:08:21Z"},{"alias_kind":"arxiv_version","alias_value":"1207.4393v1","created_at":"2026-05-18T01:08:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.4393","created_at":"2026-05-18T01:08:21Z"},{"alias_kind":"pith_short_12","alias_value":"IQ2I4SBAIISU","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IQ2I4SBAIISU6V5R","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IQ2I4SBA","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:6846ffbf2dc8b4f2162c5a33db9c481c5587e79ea31d643021490921a27bb03e","target":"graph","created_at":"2026-05-18T01:08:21Z","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 the distributed uplink resource allocation problem in a multi-carrier wireless network with multiple access points (APs). Each mobile user can optimize its own transmission rate by selecting a suitable AP and by controlling its transmit power. Our objective is to devise suitable algorithms by which mobile users can jointly perform these tasks in a distributed manner. Our approach relies on a game theoretic formulation of the joint power control and AP selection problem. In the proposed game, each user is a player with an associated strategy containing a discrete variable (the AP se","authors_text":"Alfredo Garcia, Jorge Barrera, Mingyi Hong, Stephen G. Wilson","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-07-18T15:13:15Z","title":"Joint Access Point Selection and Power Allocation for Uplink Wireless Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.4393","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:c7d14b62135816793adfaa995c4cd9d5ec347f66f9fb95d95d1db73a9ad1887d","target":"record","created_at":"2026-05-18T01:08:21Z","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":"1aa4dd4093c487a2c4dfeb92e8d85dd2c07bd570ffb26643baa3f3b0ba42beb6","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-07-18T15:13:15Z","title_canon_sha256":"0c9b1029bb7d049a73fdd0789b2ce70f1c577e60ef3ff2a9265c9d61df737548"},"schema_version":"1.0","source":{"id":"1207.4393","kind":"arxiv","version":1}},"canonical_sha256":"44348e482042254f57b12cf00e0dcb91ae4561c7d919a97bc5823a8eb6469a2a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"44348e482042254f57b12cf00e0dcb91ae4561c7d919a97bc5823a8eb6469a2a","first_computed_at":"2026-05-18T01:08:21.694573Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:21.694573Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VXmSQFlXCL98UK4RsR8cfOTtF7rdWQqvkosAgediEK1b/IeeLsGi/Q2FdQdtEY8OAnQz8uF1jBlJ4p0aj1BzBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:21.695356Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.4393","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7d14b62135816793adfaa995c4cd9d5ec347f66f9fb95d95d1db73a9ad1887d","sha256:6846ffbf2dc8b4f2162c5a33db9c481c5587e79ea31d643021490921a27bb03e"],"state_sha256":"8c2355666e97797b724820c90838c3fa39c060896aa28be8d85d43b7fe9416e1"}