{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QMXEYZQPVMNXJNLGCX7QCG6BUC","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":"bca71a62dcfc99fbecb072d75fc60f8681a27d59acb2d50f7982e3db5551b1d3","cross_cats_sorted":["cs.CC","cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-01-08T01:44:13Z","title_canon_sha256":"0cb492692248db45053b4252fd962144c000f38f421f1cff05f10d625c4d42e9"},"schema_version":"1.0","source":{"id":"1601.01744","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.01744","created_at":"2026-05-18T01:23:11Z"},{"alias_kind":"arxiv_version","alias_value":"1601.01744v1","created_at":"2026-05-18T01:23:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.01744","created_at":"2026-05-18T01:23:11Z"},{"alias_kind":"pith_short_12","alias_value":"QMXEYZQPVMNX","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QMXEYZQPVMNXJNLG","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QMXEYZQP","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:2ee78daff5a02132becf228e68c4c8ce434e075571048b4a0de42caec9273600","target":"graph","created_at":"2026-05-18T01:23:11Z","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 constraint satisfaction problems of bounded degree, with a good notion of \"typicality\", e.g. the negation of the variables in each constraint is taken independently at random. Using the quantum approximate optimization algorithm (QAOA), we show that $ \\mu+\\Omega(1/\\sqrt{D}) $ fraction of the constraints can be satisfied for typical instances, with the assignment efficiently produced by QAOA. We do so by showing that the averaged fraction of constraints being satisfied is $ \\mu+\\Omega(1/\\sqrt{D}) $, with small variance. Here $ \\mu $ is the fraction that would be satisfied by a unifo","authors_text":"Cedric Yen-Yu Lin, Yechao Zhu","cross_cats":["cs.CC","cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-01-08T01:44:13Z","title":"Performance of QAOA on Typical Instances of Constraint Satisfaction Problems with Bounded Degree"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.01744","kind":"arxiv","version":1},"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":"sha256:33155d1506b970c7c5ecc6533e9823d9f5d1a9e9ad64174b45605db0578f1a5d","target":"record","created_at":"2026-05-18T01:23:11Z","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":"bca71a62dcfc99fbecb072d75fc60f8681a27d59acb2d50f7982e3db5551b1d3","cross_cats_sorted":["cs.CC","cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-01-08T01:44:13Z","title_canon_sha256":"0cb492692248db45053b4252fd962144c000f38f421f1cff05f10d625c4d42e9"},"schema_version":"1.0","source":{"id":"1601.01744","kind":"arxiv","version":1}},"canonical_sha256":"832e4c660fab1b74b56615ff011bc1a0bb704a096caf2c6fea9ab4777540ff65","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"832e4c660fab1b74b56615ff011bc1a0bb704a096caf2c6fea9ab4777540ff65","first_computed_at":"2026-05-18T01:23:11.437469Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:11.437469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2m/slxwM4sRX/8BZgbyQDSsVbiPwQZ8VjWns3nFQW+qv/3XCi0BbdEQSVajzo9cWImoZsUp83prnG28LHxvJAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:11.438022Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.01744","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:33155d1506b970c7c5ecc6533e9823d9f5d1a9e9ad64174b45605db0578f1a5d","sha256:2ee78daff5a02132becf228e68c4c8ce434e075571048b4a0de42caec9273600"],"state_sha256":"d2caa48b9e925c1583beac14074d7405770bcce20f1d369054132b36b8d9ca9d"}