{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:GQXF6ESWJIHSK7P42FP3YEDS7B","short_pith_number":"pith:GQXF6ESW","schema_version":"1.0","canonical_sha256":"342e5f12564a0f257dfcd15fbc1072f871185c31f0d964d7c371c49977aa10c5","source":{"kind":"arxiv","id":"0903.2174","version":1},"attestation_state":"computed","paper":{"title":"Game theory and the frequency selective interference channel - A tutorial","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.GT","math.IT"],"primary_cat":"cs.IT","authors_text":"Amir Leshem, Ephi Zehavi","submitted_at":"2009-03-12T14:42:13Z","abstract_excerpt":"This paper provides a tutorial overview of game theoretic techniques used for communication over frequency selective interference channels. We discuss both competitive and cooperative techniques.\n  Keywords: Game theory, competitive games, cooperative games, Nash Equilibrium, Nash bargaining solution, Generalized Nash games, Spectrum optimization, distributed coordination, interference channel, multiple access channel, iterative water-filling."},"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":"0903.2174","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2009-03-12T14:42:13Z","cross_cats_sorted":["cs.GT","math.IT"],"title_canon_sha256":"bb5be6eaee7537961865d907f34229c632c72386de2dd5e46d87c01294d6230c","abstract_canon_sha256":"92075daffaa761d4f216c3f346cc79a9d11511abaed679158ca8099805958b68"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:42:33.758476Z","signature_b64":"X0McpvPZIftwkU5MKnQCajzYJgGk/FgnthtQeLyKOBrJqA8bLLF4QG43iFqzVtpqugoXxQGILo8/27KHZowLDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"342e5f12564a0f257dfcd15fbc1072f871185c31f0d964d7c371c49977aa10c5","last_reissued_at":"2026-05-18T04:42:33.757823Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:42:33.757823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Game theory and the frequency selective interference channel - A tutorial","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.GT","math.IT"],"primary_cat":"cs.IT","authors_text":"Amir Leshem, Ephi Zehavi","submitted_at":"2009-03-12T14:42:13Z","abstract_excerpt":"This paper provides a tutorial overview of game theoretic techniques used for communication over frequency selective interference channels. We discuss both competitive and cooperative techniques.\n  Keywords: Game theory, competitive games, cooperative games, Nash Equilibrium, Nash bargaining solution, Generalized Nash games, Spectrum optimization, distributed coordination, interference channel, multiple access channel, iterative water-filling."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.2174","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":"0903.2174","created_at":"2026-05-18T04:42:33.757957+00:00"},{"alias_kind":"arxiv_version","alias_value":"0903.2174v1","created_at":"2026-05-18T04:42:33.757957+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.2174","created_at":"2026-05-18T04:42:33.757957+00:00"},{"alias_kind":"pith_short_12","alias_value":"GQXF6ESWJIHS","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_16","alias_value":"GQXF6ESWJIHSK7P4","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_8","alias_value":"GQXF6ESW","created_at":"2026-05-18T12:25:59.703012+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/GQXF6ESWJIHSK7P42FP3YEDS7B","json":"https://pith.science/pith/GQXF6ESWJIHSK7P42FP3YEDS7B.json","graph_json":"https://pith.science/api/pith-number/GQXF6ESWJIHSK7P42FP3YEDS7B/graph.json","events_json":"https://pith.science/api/pith-number/GQXF6ESWJIHSK7P42FP3YEDS7B/events.json","paper":"https://pith.science/paper/GQXF6ESW"},"agent_actions":{"view_html":"https://pith.science/pith/GQXF6ESWJIHSK7P42FP3YEDS7B","download_json":"https://pith.science/pith/GQXF6ESWJIHSK7P42FP3YEDS7B.json","view_paper":"https://pith.science/paper/GQXF6ESW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0903.2174&json=true","fetch_graph":"https://pith.science/api/pith-number/GQXF6ESWJIHSK7P42FP3YEDS7B/graph.json","fetch_events":"https://pith.science/api/pith-number/GQXF6ESWJIHSK7P42FP3YEDS7B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GQXF6ESWJIHSK7P42FP3YEDS7B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GQXF6ESWJIHSK7P42FP3YEDS7B/action/storage_attestation","attest_author":"https://pith.science/pith/GQXF6ESWJIHSK7P42FP3YEDS7B/action/author_attestation","sign_citation":"https://pith.science/pith/GQXF6ESWJIHSK7P42FP3YEDS7B/action/citation_signature","submit_replication":"https://pith.science/pith/GQXF6ESWJIHSK7P42FP3YEDS7B/action/replication_record"}},"created_at":"2026-05-18T04:42:33.757957+00:00","updated_at":"2026-05-18T04:42:33.757957+00:00"}