{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:ANENS3MGOPSIOQXK4OIGVUBCMG","short_pith_number":"pith:ANENS3MG","schema_version":"1.0","canonical_sha256":"0348d96d8673e48742eae3906ad02261a32e68ef878f39a2b200c944dd363168","source":{"kind":"arxiv","id":"1603.00562","version":3},"attestation_state":"computed","paper":{"title":"Optimal Auctions for Negatively Correlated Items","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Pingzhong Tang, Zihe Wang","submitted_at":"2016-03-02T03:12:56Z","abstract_excerpt":"We consider the problem of designing revenue-optimal auctions for selling two items and bidders' valuations are independent among bidders but negatively correlated among items.\n  In this paper, we obtain the closed-form optimal auction for this setting, by directly addressing the two difficulties above. In particular, the first difficulty is that when pointwise maximizing virtual surplus under multi-dimensional feasibility (i.e., the Border feasibility), (1) neither the optimal interim allocation is trivially monotone in the virtual value, (2) nor the virtual value is monotone in the bidder's "},"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":"1603.00562","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-03-02T03:12:56Z","cross_cats_sorted":[],"title_canon_sha256":"f25076aa957bb7f89958ff8b5cfb7da66a1c46cfc2cad90d3f61b2b4f4b6276c","abstract_canon_sha256":"0aaf8015c458901f0b9cadf9c81deba24ae5c74fa73658e334750e01e692c020"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:13:04.627112Z","signature_b64":"xFZ2qo9re7pg0FzNgEd0DI84L6dLRMEt0pe9/tLwGpfNIwRjdSCIHuckkhtaBXm96UjsmzHBV2Xa7dXE3kMvDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0348d96d8673e48742eae3906ad02261a32e68ef878f39a2b200c944dd363168","last_reissued_at":"2026-05-18T01:13:04.626735Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:13:04.626735Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Optimal Auctions for Negatively Correlated Items","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Pingzhong Tang, Zihe Wang","submitted_at":"2016-03-02T03:12:56Z","abstract_excerpt":"We consider the problem of designing revenue-optimal auctions for selling two items and bidders' valuations are independent among bidders but negatively correlated among items.\n  In this paper, we obtain the closed-form optimal auction for this setting, by directly addressing the two difficulties above. In particular, the first difficulty is that when pointwise maximizing virtual surplus under multi-dimensional feasibility (i.e., the Border feasibility), (1) neither the optimal interim allocation is trivially monotone in the virtual value, (2) nor the virtual value is monotone in the bidder's "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.00562","kind":"arxiv","version":3},"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":"1603.00562","created_at":"2026-05-18T01:13:04.626791+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.00562v3","created_at":"2026-05-18T01:13:04.626791+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.00562","created_at":"2026-05-18T01:13:04.626791+00:00"},{"alias_kind":"pith_short_12","alias_value":"ANENS3MGOPSI","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_16","alias_value":"ANENS3MGOPSIOQXK","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_8","alias_value":"ANENS3MG","created_at":"2026-05-18T12:30:07.202191+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/ANENS3MGOPSIOQXK4OIGVUBCMG","json":"https://pith.science/pith/ANENS3MGOPSIOQXK4OIGVUBCMG.json","graph_json":"https://pith.science/api/pith-number/ANENS3MGOPSIOQXK4OIGVUBCMG/graph.json","events_json":"https://pith.science/api/pith-number/ANENS3MGOPSIOQXK4OIGVUBCMG/events.json","paper":"https://pith.science/paper/ANENS3MG"},"agent_actions":{"view_html":"https://pith.science/pith/ANENS3MGOPSIOQXK4OIGVUBCMG","download_json":"https://pith.science/pith/ANENS3MGOPSIOQXK4OIGVUBCMG.json","view_paper":"https://pith.science/paper/ANENS3MG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.00562&json=true","fetch_graph":"https://pith.science/api/pith-number/ANENS3MGOPSIOQXK4OIGVUBCMG/graph.json","fetch_events":"https://pith.science/api/pith-number/ANENS3MGOPSIOQXK4OIGVUBCMG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ANENS3MGOPSIOQXK4OIGVUBCMG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ANENS3MGOPSIOQXK4OIGVUBCMG/action/storage_attestation","attest_author":"https://pith.science/pith/ANENS3MGOPSIOQXK4OIGVUBCMG/action/author_attestation","sign_citation":"https://pith.science/pith/ANENS3MGOPSIOQXK4OIGVUBCMG/action/citation_signature","submit_replication":"https://pith.science/pith/ANENS3MGOPSIOQXK4OIGVUBCMG/action/replication_record"}},"created_at":"2026-05-18T01:13:04.626791+00:00","updated_at":"2026-05-18T01:13:04.626791+00:00"}