{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RMENHRYFQ7FW2VB5TDOR5KAPHA","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"aacbbe3bcd2c2372215a923fad3e6baede4f0c89948c8633d66c2aee884f3816","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-05-12T22:50:36Z","title_canon_sha256":"d45e64bd9bc3b29f2c04aacd82f7927274ee5842f22b08fc01b8d66e2f61a2a1"},"schema_version":"1.0","source":{"id":"1605.04004","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.04004","created_at":"2026-05-18T00:54:47Z"},{"alias_kind":"arxiv_version","alias_value":"1605.04004v3","created_at":"2026-05-18T00:54:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.04004","created_at":"2026-05-18T00:54:47Z"},{"alias_kind":"pith_short_12","alias_value":"RMENHRYFQ7FW","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RMENHRYFQ7FW2VB5","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RMENHRYF","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:410a74f6c69e47e5dba72e3815a198c364ecb7a1765abee62f86021b239d4b65","target":"graph","created_at":"2026-05-18T00:54:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study competition in a general framework introduced by Immorlica et al. and answer their main open question. Immorlica et al. considered classic optimization problems in terms of competition and introduced a general class of games called dueling games. They model this competition as a zero-sum game, where two players are competing for a user's satisfaction. In their main and most natural game, the ranking duel, a user requests a webpage by submitting a query and players output an ordering over all possible webpages based on the submitted query. The user tends to choose the ordering which di","authors_text":"Hamid Mahini, MohammadTaghi Hajiaghayi, Saeed Seddighin, Sina Dehghani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-05-12T22:50:36Z","title":"Price of Competition and Dueling Games"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.04004","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:cdea55275394dc82bedb22e3e71937ecc7657b44a9c860ed1d0e7bf87a7357ee","target":"record","created_at":"2026-05-18T00:54:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"aacbbe3bcd2c2372215a923fad3e6baede4f0c89948c8633d66c2aee884f3816","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-05-12T22:50:36Z","title_canon_sha256":"d45e64bd9bc3b29f2c04aacd82f7927274ee5842f22b08fc01b8d66e2f61a2a1"},"schema_version":"1.0","source":{"id":"1605.04004","kind":"arxiv","version":3}},"canonical_sha256":"8b08d3c70587cb6d543d98dd1ea80f381c19b1d10b075fa3da4546ab4e6a694f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b08d3c70587cb6d543d98dd1ea80f381c19b1d10b075fa3da4546ab4e6a694f","first_computed_at":"2026-05-18T00:54:47.737400Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:47.737400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UbhjeBuRZa8T7p8wj/csFn+ynwLp8tIj9daDljLBRlUIBE4vAYmtnsRCZHBh0pkiimRHHyK7kbk2IIxsesKcDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:47.737885Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.04004","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cdea55275394dc82bedb22e3e71937ecc7657b44a9c860ed1d0e7bf87a7357ee","sha256:410a74f6c69e47e5dba72e3815a198c364ecb7a1765abee62f86021b239d4b65"],"state_sha256":"3b8cd07b9f0ad145f19ebb382a2e866dc2ee393b26feb14c13c37ca8f04390e4"}