{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DULEQODX5VBFNJV3IAHXPZLCUJ","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":"ea616319faac0815ddd901a3964a4eae99b0fbb250c76f78342f6032e2121c8b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2016-04-30T11:01:38Z","title_canon_sha256":"1aeb8f6dae044086f1407652e83e48dfcbc275308116874bb5cb4a28f81d75c5"},"schema_version":"1.0","source":{"id":"1605.00091","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.00091","created_at":"2026-05-18T01:15:56Z"},{"alias_kind":"arxiv_version","alias_value":"1605.00091v1","created_at":"2026-05-18T01:15:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.00091","created_at":"2026-05-18T01:15:56Z"},{"alias_kind":"pith_short_12","alias_value":"DULEQODX5VBF","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DULEQODX5VBFNJV3","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DULEQODX","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:a0aa97dccda53989f15d0631cd10623e36fdd83e0d725df7ae8f5a89a6c6212a","target":"graph","created_at":"2026-05-18T01:15:56Z","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, we develop a social group utility maximization (SGUM) framework for cooperative wireless networking that takes into account both social relationships and physical coupling among users. We show that this framework provides rich modeling flexibility and spans the continuum between non-cooperative game and network utility maximization (NUM) -- two traditionally disjoint paradigms for network optimization. Based on this framework, we study three important applications of SGUM, in database assisted spectrum access, power control, and random access control, respectively. For the case ","authors_text":"Junshan Zhang, Lei Yang, Xiaowen Gong, Xu Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2016-04-30T11:01:38Z","title":"Exploiting Social Tie Structure for Cooperative Wireless Networking: A Social Group Utility Maximization Framework"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.00091","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":"sha256:37974ac48aa4a9d3f706aa66df1df8950e8975238ea5e62846126bb5f09c68e5","target":"record","created_at":"2026-05-18T01:15:56Z","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":"ea616319faac0815ddd901a3964a4eae99b0fbb250c76f78342f6032e2121c8b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2016-04-30T11:01:38Z","title_canon_sha256":"1aeb8f6dae044086f1407652e83e48dfcbc275308116874bb5cb4a28f81d75c5"},"schema_version":"1.0","source":{"id":"1605.00091","kind":"arxiv","version":1}},"canonical_sha256":"1d16483877ed4256a6bb400f77e562a27ccb97b631d868f6cd1870d9da13f56a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d16483877ed4256a6bb400f77e562a27ccb97b631d868f6cd1870d9da13f56a","first_computed_at":"2026-05-18T01:15:56.796216Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:56.796216Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vILuOk5JEsuLmT3DFWWxz0WHRG8d7cgOG6AVNHUEOYbPDnk6GGQcTwPXBvYdQ5DX5HUQbDjP9FELfwBPJgMHBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:56.796781Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.00091","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:37974ac48aa4a9d3f706aa66df1df8950e8975238ea5e62846126bb5f09c68e5","sha256:a0aa97dccda53989f15d0631cd10623e36fdd83e0d725df7ae8f5a89a6c6212a"],"state_sha256":"defaa7642bfc76f0069473c1cbe372478fb31d9158af23e1ac3fe87bb15fd6e1"}