{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:FDCARDFETHHVUG56W5SK3YAX6G","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":"669f50031235bbfa61a26c28ca0b472960b8dacc34f4132f00c5229248a11f4b","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-18T15:59:12Z","title_canon_sha256":"c3ffb0e5e71b7e27f22d77aa26102dc5e79264fcbf8716c3a9b180f61083f32c"},"schema_version":"1.0","source":{"id":"1208.3757","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.3757","created_at":"2026-05-18T03:39:28Z"},{"alias_kind":"arxiv_version","alias_value":"1208.3757v2","created_at":"2026-05-18T03:39:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3757","created_at":"2026-05-18T03:39:28Z"},{"alias_kind":"pith_short_12","alias_value":"FDCARDFETHHV","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FDCARDFETHHVUG56","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FDCARDFE","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:06e980b6b6ed5d8c8707326571f098ec734d1fbad30605ca10921234718f6828","target":"graph","created_at":"2026-05-18T03:39:28Z","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":"In this paper we study the performance of the quantum adiabatic algorithm on random instances of two combinatorial optimization problems, 3-regular 3-XORSAT and 3-regular Max-Cut. The cost functions associated with these two clause-based optimization problems are similar as they are both defined on 3-regular hypergraphs. For 3-regular 3-XORSAT the clauses contain three variables and for 3-regular Max-Cut the clauses contain two variables. The quantum adiabatic algorithms we study for these two problems use interpolating Hamiltonians which are stoquastic and therefore amenable to sign-problem f","authors_text":"A. P. Young, A. W. Sandvik, David Gosset, Edward Farhi, Francesco Zamponi, Itay Hen, Peter Shor","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-18T15:59:12Z","title":"The performance of the quantum adiabatic algorithm on random instances of two optimization problems on regular hypergraphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3757","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":"sha256:27553d5ef6ed33e1980da38ecb91d2e5d435685cf3c45dd245b4a319aad080d8","target":"record","created_at":"2026-05-18T03:39:28Z","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":"669f50031235bbfa61a26c28ca0b472960b8dacc34f4132f00c5229248a11f4b","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-08-18T15:59:12Z","title_canon_sha256":"c3ffb0e5e71b7e27f22d77aa26102dc5e79264fcbf8716c3a9b180f61083f32c"},"schema_version":"1.0","source":{"id":"1208.3757","kind":"arxiv","version":2}},"canonical_sha256":"28c4088ca499cf5a1bbeb764ade017f1a58704d40bbe41191d7327f6d9547746","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28c4088ca499cf5a1bbeb764ade017f1a58704d40bbe41191d7327f6d9547746","first_computed_at":"2026-05-18T03:39:28.186062Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:39:28.186062Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SYuAgWkXFs9RB3qqt3WZrOxQ9+dGmRxW66ids8Mg7QF0e0nHoc9PLrWVLqFnYcQHcRSbKL+iju3X8bQd2uynDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:39:28.186846Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.3757","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27553d5ef6ed33e1980da38ecb91d2e5d435685cf3c45dd245b4a319aad080d8","sha256:06e980b6b6ed5d8c8707326571f098ec734d1fbad30605ca10921234718f6828"],"state_sha256":"e1c72e48554f463fbf151d7f454535cd10db786cc1e4d046aeb6211cf086f376"}