{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:7MBLRRX4VR5ERW7YFIC5NSGTCW","short_pith_number":"pith:7MBLRRX4","schema_version":"1.0","canonical_sha256":"fb02b8c6fcac7a48dbf82a05d6c8d315b31106942d3fc9ea9222404aa64059a4","source":{"kind":"arxiv","id":"1610.01982","version":1},"attestation_state":"computed","paper":{"title":"Quantum Game Theory for Beam Alignment in Millimeter Wave Device-to-Device Communications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.GT","math.IT"],"primary_cat":"cs.IT","authors_text":"Mehdi Bennis, Merouane Debbah, Qianqian Zhang, Walid Saad","submitted_at":"2016-10-06T18:23:25Z","abstract_excerpt":"In this paper, the problem of optimized beam alignment for wearable device-to-device (D2D) communications over millimeter wave (mmW) frequencies is studied. In particular, a noncooperative game is formulated between wearable communication pairs that engage in D2D communications. In this game, wearable devices acting as transmitters autonomously select the directions of their beams so as to maximize the data rate to their receivers. To solve the game, an algorithm based on best response dynamics is proposed that allows the transmitters to reach a Nash equilibrium in a distributed manner. To fur"},"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":"1610.01982","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-10-06T18:23:25Z","cross_cats_sorted":["cs.GT","math.IT"],"title_canon_sha256":"63918b77e3e7eaebf289cc62b4152c0ae3506a595f7760b2af86a8a0947d6ecf","abstract_canon_sha256":"079625efc53c77eff68f45746fde6ab48bf3f80569d0820563bb1bc75e0bf391"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:04.218840Z","signature_b64":"UBLJJaTxks+h+UZNdcXsG/ihTxx5KLiuzU+B62oyainzFQGt3S2725QM6YUmD0PV8NQJ/wbR5Kd3xDPDKxZYAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb02b8c6fcac7a48dbf82a05d6c8d315b31106942d3fc9ea9222404aa64059a4","last_reissued_at":"2026-05-18T01:03:04.218123Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:04.218123Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Game Theory for Beam Alignment in Millimeter Wave Device-to-Device Communications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.GT","math.IT"],"primary_cat":"cs.IT","authors_text":"Mehdi Bennis, Merouane Debbah, Qianqian Zhang, Walid Saad","submitted_at":"2016-10-06T18:23:25Z","abstract_excerpt":"In this paper, the problem of optimized beam alignment for wearable device-to-device (D2D) communications over millimeter wave (mmW) frequencies is studied. In particular, a noncooperative game is formulated between wearable communication pairs that engage in D2D communications. In this game, wearable devices acting as transmitters autonomously select the directions of their beams so as to maximize the data rate to their receivers. To solve the game, an algorithm based on best response dynamics is proposed that allows the transmitters to reach a Nash equilibrium in a distributed manner. To fur"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.01982","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":"1610.01982","created_at":"2026-05-18T01:03:04.218237+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.01982v1","created_at":"2026-05-18T01:03:04.218237+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.01982","created_at":"2026-05-18T01:03:04.218237+00:00"},{"alias_kind":"pith_short_12","alias_value":"7MBLRRX4VR5E","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_16","alias_value":"7MBLRRX4VR5ERW7Y","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_8","alias_value":"7MBLRRX4","created_at":"2026-05-18T12:30:04.600751+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/7MBLRRX4VR5ERW7YFIC5NSGTCW","json":"https://pith.science/pith/7MBLRRX4VR5ERW7YFIC5NSGTCW.json","graph_json":"https://pith.science/api/pith-number/7MBLRRX4VR5ERW7YFIC5NSGTCW/graph.json","events_json":"https://pith.science/api/pith-number/7MBLRRX4VR5ERW7YFIC5NSGTCW/events.json","paper":"https://pith.science/paper/7MBLRRX4"},"agent_actions":{"view_html":"https://pith.science/pith/7MBLRRX4VR5ERW7YFIC5NSGTCW","download_json":"https://pith.science/pith/7MBLRRX4VR5ERW7YFIC5NSGTCW.json","view_paper":"https://pith.science/paper/7MBLRRX4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.01982&json=true","fetch_graph":"https://pith.science/api/pith-number/7MBLRRX4VR5ERW7YFIC5NSGTCW/graph.json","fetch_events":"https://pith.science/api/pith-number/7MBLRRX4VR5ERW7YFIC5NSGTCW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7MBLRRX4VR5ERW7YFIC5NSGTCW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7MBLRRX4VR5ERW7YFIC5NSGTCW/action/storage_attestation","attest_author":"https://pith.science/pith/7MBLRRX4VR5ERW7YFIC5NSGTCW/action/author_attestation","sign_citation":"https://pith.science/pith/7MBLRRX4VR5ERW7YFIC5NSGTCW/action/citation_signature","submit_replication":"https://pith.science/pith/7MBLRRX4VR5ERW7YFIC5NSGTCW/action/replication_record"}},"created_at":"2026-05-18T01:03:04.218237+00:00","updated_at":"2026-05-18T01:03:04.218237+00:00"}