{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:SRX4ZJP3QLW2EODZNTKTUQ3776","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":"46f7b9ea4d2dcc9dc646d32d3469f23cbdf1206b21dd4f8fbee92feb58ee1ae9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-12-21T16:53:54Z","title_canon_sha256":"e72d67a892e4fafd5a4e3cb1c5cd790485ae7588cf68b9c61a4ab0c82f5f6a4f"},"schema_version":"1.0","source":{"id":"1012.4728","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.4728","created_at":"2026-05-18T04:22:29Z"},{"alias_kind":"arxiv_version","alias_value":"1012.4728v2","created_at":"2026-05-18T04:22:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.4728","created_at":"2026-05-18T04:22:29Z"},{"alias_kind":"pith_short_12","alias_value":"SRX4ZJP3QLW2","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SRX4ZJP3QLW2EODZ","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SRX4ZJP3","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:e1077fdaa62a3f063b2b2a09b943bfb06db0dd9091ff3771ac1f0ea8c6a2f863","target":"graph","created_at":"2026-05-18T04:22:29Z","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 consider one-round games between a classical referee and two players. One of the main questions in this area is the parallel repetition question: Is there a way to decrease the maximum winning probability of a game without increasing the number of rounds or the number of players? Classically, efforts to resolve this question, open for many years, have culminated in Raz's celebrated parallel repetition theorem on one hand, and in efficient product testers for PCPs on the other.\n  In the case where players share entanglement, the only previously known results are for special cases of games, a","authors_text":"Julia Kempe, Thomas Vidick","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-12-21T16:53:54Z","title":"Parallel Repetition of Entangled Games"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.4728","kind":"arxiv","version":2},"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":"sha256:6116a7ee740c4892b59b131f2ea86cd2c87b3127fdabb327b19436f3f9d7e26c","target":"record","created_at":"2026-05-18T04:22:29Z","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":"46f7b9ea4d2dcc9dc646d32d3469f23cbdf1206b21dd4f8fbee92feb58ee1ae9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-12-21T16:53:54Z","title_canon_sha256":"e72d67a892e4fafd5a4e3cb1c5cd790485ae7588cf68b9c61a4ab0c82f5f6a4f"},"schema_version":"1.0","source":{"id":"1012.4728","kind":"arxiv","version":2}},"canonical_sha256":"946fcca5fb82eda238796cd53a437fff99f311c2b0953379bc6631ca29a0ac3b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"946fcca5fb82eda238796cd53a437fff99f311c2b0953379bc6631ca29a0ac3b","first_computed_at":"2026-05-18T04:22:29.348912Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:22:29.348912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2OVMcOz0ABnYlW7WUbgeACT0i8iPxC5nWumwMGljcAW9wtWqsXLj0gDpaidpYr7PHaPl3tVjh9yVbqfB0EXmBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:22:29.349273Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.4728","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6116a7ee740c4892b59b131f2ea86cd2c87b3127fdabb327b19436f3f9d7e26c","sha256:e1077fdaa62a3f063b2b2a09b943bfb06db0dd9091ff3771ac1f0ea8c6a2f863"],"state_sha256":"9c345e99fd4d7514776a0fee504b3d7b6151b67ed098da0a8dad352624669f9b"}