{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:WUQ6657YC4PV2GAP7N6HB5XCJI","short_pith_number":"pith:WUQ6657Y","schema_version":"1.0","canonical_sha256":"b521ef77f8171f5d180ffb7c70f6e24a021b1936a33b92428d60826bc7a50fe0","source":{"kind":"arxiv","id":"1305.4703","version":1},"attestation_state":"computed","paper":{"title":"Broadcast Channel Games: Equilibrium Characterization and a MIMO MAC-BC Game Duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Rahul Jain, Srinivas Yerramalli, Urbashi Mitra","submitted_at":"2013-05-21T03:43:26Z","abstract_excerpt":"The emergence of heterogeneous decentralized networks without a central controller, such as device-to-device communication systems, has created the need for new problem frameworks to design and analyze the performance of such networks. As a key step towards such an analysis for general networks, this paper examines the strategic behavior of \\emph{receivers} in a Gaussian broadcast channel (BC) and \\emph{transmitters} in a multiple access channel (MAC) with sum power constraints (sum power MAC) using the framework of non-cooperative game theory. These signaling scenarios are modeled as generali"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1305.4703","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-05-21T03:43:26Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"464f5b7405a2b1882eb7075ff3f7755fb9665832ed9aadc549766331b679a706","abstract_canon_sha256":"31419ba8442df9a2bc854be124e2366238a8c33b073853445daeba38e1c56a3f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:15.428779Z","signature_b64":"xWBeDy+HTvMcchEmBNZFXdRHYLinHqg58CHLGpHFnsFgfqHCNrSv/ULzw/VjkAeFVYMKvFbtGZ4oA0i4KHFtBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b521ef77f8171f5d180ffb7c70f6e24a021b1936a33b92428d60826bc7a50fe0","last_reissued_at":"2026-05-18T03:25:15.428226Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:15.428226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Broadcast Channel Games: Equilibrium Characterization and a MIMO MAC-BC Game Duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Rahul Jain, Srinivas Yerramalli, Urbashi Mitra","submitted_at":"2013-05-21T03:43:26Z","abstract_excerpt":"The emergence of heterogeneous decentralized networks without a central controller, such as device-to-device communication systems, has created the need for new problem frameworks to design and analyze the performance of such networks. As a key step towards such an analysis for general networks, this paper examines the strategic behavior of \\emph{receivers} in a Gaussian broadcast channel (BC) and \\emph{transmitters} in a multiple access channel (MAC) with sum power constraints (sum power MAC) using the framework of non-cooperative game theory. These signaling scenarios are modeled as generali"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4703","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1305.4703","created_at":"2026-05-18T03:25:15.428288+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.4703v1","created_at":"2026-05-18T03:25:15.428288+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4703","created_at":"2026-05-18T03:25:15.428288+00:00"},{"alias_kind":"pith_short_12","alias_value":"WUQ6657YC4PV","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_16","alias_value":"WUQ6657YC4PV2GAP","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_8","alias_value":"WUQ6657Y","created_at":"2026-05-18T12:28:04.890932+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WUQ6657YC4PV2GAP7N6HB5XCJI","json":"https://pith.science/pith/WUQ6657YC4PV2GAP7N6HB5XCJI.json","graph_json":"https://pith.science/api/pith-number/WUQ6657YC4PV2GAP7N6HB5XCJI/graph.json","events_json":"https://pith.science/api/pith-number/WUQ6657YC4PV2GAP7N6HB5XCJI/events.json","paper":"https://pith.science/paper/WUQ6657Y"},"agent_actions":{"view_html":"https://pith.science/pith/WUQ6657YC4PV2GAP7N6HB5XCJI","download_json":"https://pith.science/pith/WUQ6657YC4PV2GAP7N6HB5XCJI.json","view_paper":"https://pith.science/paper/WUQ6657Y","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.4703&json=true","fetch_graph":"https://pith.science/api/pith-number/WUQ6657YC4PV2GAP7N6HB5XCJI/graph.json","fetch_events":"https://pith.science/api/pith-number/WUQ6657YC4PV2GAP7N6HB5XCJI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WUQ6657YC4PV2GAP7N6HB5XCJI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WUQ6657YC4PV2GAP7N6HB5XCJI/action/storage_attestation","attest_author":"https://pith.science/pith/WUQ6657YC4PV2GAP7N6HB5XCJI/action/author_attestation","sign_citation":"https://pith.science/pith/WUQ6657YC4PV2GAP7N6HB5XCJI/action/citation_signature","submit_replication":"https://pith.science/pith/WUQ6657YC4PV2GAP7N6HB5XCJI/action/replication_record"}},"created_at":"2026-05-18T03:25:15.428288+00:00","updated_at":"2026-05-18T03:25:15.428288+00:00"}