{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:NFSAW4VTPPCFNKP45LMIVM6RGQ","short_pith_number":"pith:NFSAW4VT","schema_version":"1.0","canonical_sha256":"69640b72b37bc456a9fcead88ab3d1341797f58168246a565e4896c630a35599","source":{"kind":"arxiv","id":"1003.5517","version":1},"attestation_state":"computed","paper":{"title":"Competition with Dynamic Spectrum Leasing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.NI","authors_text":"Biying Shou, Jianwei Huang, Lingjie Duan","submitted_at":"2010-03-29T12:09:04Z","abstract_excerpt":"This paper presents a comprehensive analytical study of two competitive cognitive operators' spectrum leasing and pricing strategies, taking into account operators' heterogeneity in leasing costs and users' heterogeneity in transmission power and channel conditions. We model the interactions between operators and users as a three-stage dynamic game, where operators make simultaneous spectrum leasing and pricing decisions in Stages I and II, and users make purchase decisions in Stage III. Using backward induction, we are able to completely characterize the game's equilibria. We show that both o"},"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":"1003.5517","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2010-03-29T12:09:04Z","cross_cats_sorted":[],"title_canon_sha256":"739bf4942acb0adad22e772dc5ca4a1422be17d97bbb88c661ac3cb5d146d0d2","abstract_canon_sha256":"a67bb0256c5db28d87fd34d656bfdf0a78cba8ffdf9cca0d019d8f062586cd65"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:19.643263Z","signature_b64":"7vtSnzO6+UuS6FOOKH1iJHLdf98+kwZ2ctyqBaWoeeOyfwK6QKwCnhYljr6BL3OM3+miujq6yJfzFRAffEbUAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69640b72b37bc456a9fcead88ab3d1341797f58168246a565e4896c630a35599","last_reissued_at":"2026-05-18T00:58:19.642608Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:19.642608Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Competition with Dynamic Spectrum Leasing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.NI","authors_text":"Biying Shou, Jianwei Huang, Lingjie Duan","submitted_at":"2010-03-29T12:09:04Z","abstract_excerpt":"This paper presents a comprehensive analytical study of two competitive cognitive operators' spectrum leasing and pricing strategies, taking into account operators' heterogeneity in leasing costs and users' heterogeneity in transmission power and channel conditions. We model the interactions between operators and users as a three-stage dynamic game, where operators make simultaneous spectrum leasing and pricing decisions in Stages I and II, and users make purchase decisions in Stage III. Using backward induction, we are able to completely characterize the game's equilibria. We show that both o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.5517","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":"1003.5517","created_at":"2026-05-18T00:58:19.642698+00:00"},{"alias_kind":"arxiv_version","alias_value":"1003.5517v1","created_at":"2026-05-18T00:58:19.642698+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.5517","created_at":"2026-05-18T00:58:19.642698+00:00"},{"alias_kind":"pith_short_12","alias_value":"NFSAW4VTPPCF","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_16","alias_value":"NFSAW4VTPPCFNKP4","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_8","alias_value":"NFSAW4VT","created_at":"2026-05-18T12:26:10.704358+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/NFSAW4VTPPCFNKP45LMIVM6RGQ","json":"https://pith.science/pith/NFSAW4VTPPCFNKP45LMIVM6RGQ.json","graph_json":"https://pith.science/api/pith-number/NFSAW4VTPPCFNKP45LMIVM6RGQ/graph.json","events_json":"https://pith.science/api/pith-number/NFSAW4VTPPCFNKP45LMIVM6RGQ/events.json","paper":"https://pith.science/paper/NFSAW4VT"},"agent_actions":{"view_html":"https://pith.science/pith/NFSAW4VTPPCFNKP45LMIVM6RGQ","download_json":"https://pith.science/pith/NFSAW4VTPPCFNKP45LMIVM6RGQ.json","view_paper":"https://pith.science/paper/NFSAW4VT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1003.5517&json=true","fetch_graph":"https://pith.science/api/pith-number/NFSAW4VTPPCFNKP45LMIVM6RGQ/graph.json","fetch_events":"https://pith.science/api/pith-number/NFSAW4VTPPCFNKP45LMIVM6RGQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NFSAW4VTPPCFNKP45LMIVM6RGQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NFSAW4VTPPCFNKP45LMIVM6RGQ/action/storage_attestation","attest_author":"https://pith.science/pith/NFSAW4VTPPCFNKP45LMIVM6RGQ/action/author_attestation","sign_citation":"https://pith.science/pith/NFSAW4VTPPCFNKP45LMIVM6RGQ/action/citation_signature","submit_replication":"https://pith.science/pith/NFSAW4VTPPCFNKP45LMIVM6RGQ/action/replication_record"}},"created_at":"2026-05-18T00:58:19.642698+00:00","updated_at":"2026-05-18T00:58:19.642698+00:00"}