{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:YSGCDWAHMZCJUOW3NAFLB6IFXQ","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":"cc117ac0a0ae4c67e2b1361d3f48521103f177750a15f8a364237424cb035c07","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-11-04T23:39:27Z","title_canon_sha256":"2550c5f209f486f4287c6b07cc462e33cac06897de458241d5e9e42aeed161dc"},"schema_version":"1.0","source":{"id":"2411.02681","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.02681","created_at":"2026-07-05T10:47:32Z"},{"alias_kind":"arxiv_version","alias_value":"2411.02681v2","created_at":"2026-07-05T10:47:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.02681","created_at":"2026-07-05T10:47:32Z"},{"alias_kind":"pith_short_12","alias_value":"YSGCDWAHMZCJ","created_at":"2026-07-05T10:47:32Z"},{"alias_kind":"pith_short_16","alias_value":"YSGCDWAHMZCJUOW3","created_at":"2026-07-05T10:47:32Z"},{"alias_kind":"pith_short_8","alias_value":"YSGCDWAH","created_at":"2026-07-05T10:47:32Z"}],"graph_snapshots":[{"event_id":"sha256:46e445706e22535acf24b9db616d5a671399b2708058dbb3c1f3788e8bab679c","target":"graph","created_at":"2026-07-05T10:47:32Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2411.02681/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"$\\mathsf{QMA}_1$ is $\\mathsf{QMA}$ with perfect completeness, i.e., the prover must accept with a probability of exactly $1$ in the YES-case. Whether $\\mathsf{QMA}_1$ and $\\mathsf{QMA}$ are equal is still a major open problem. It is not even known whether $\\mathsf{QMA}_1$ has a universal gateset; Solovay-Kitaev does not apply due to perfect completeness. Hence, we do not generally know whether $\\mathsf{QMA}_1^G=\\mathsf{QMA}_1^{G'}$ (superscript denoting gateset), given two universal gatesets $G,G'$. In this paper, we make progress towards the gateset question by proving that for all $k\\in\\math","authors_text":"Dorian Rudolph","cross_cats":["cs.CC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-11-04T23:39:27Z","title":"Towards a universal gateset for $\\mathsf{QMA}_1$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.02681","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:ef7cd15b7f7b6da14e8fabb99cabbe5ede602700871a2c6f09e61edbf827f9dc","target":"record","created_at":"2026-07-05T10:47:32Z","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":"cc117ac0a0ae4c67e2b1361d3f48521103f177750a15f8a364237424cb035c07","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-11-04T23:39:27Z","title_canon_sha256":"2550c5f209f486f4287c6b07cc462e33cac06897de458241d5e9e42aeed161dc"},"schema_version":"1.0","source":{"id":"2411.02681","kind":"arxiv","version":2}},"canonical_sha256":"c48c21d80766449a3adb680ab0f905bc1c8310987c785ffbcde6ec6f09b084d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c48c21d80766449a3adb680ab0f905bc1c8310987c785ffbcde6ec6f09b084d8","first_computed_at":"2026-07-05T10:47:32.896528Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:47:32.896528Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UkedWqAmZMsH737MHcQWkaQI0Ucnho1hSQ1rCZ9VVW4ffd4hwUHuwUGmR1a8kMHTxwdvlKfYVp8vgBsTpX0CDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:47:32.896978Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.02681","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef7cd15b7f7b6da14e8fabb99cabbe5ede602700871a2c6f09e61edbf827f9dc","sha256:46e445706e22535acf24b9db616d5a671399b2708058dbb3c1f3788e8bab679c"],"state_sha256":"1aa4027cdb3680aa7bbef214be23bdb66f5036e795ebf17ee8d8917c28d151a0"}