{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:TM53CLUCJL67KEGJTQMZBXV3CU","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":"acfd1c5d9ca2a539125c59ad062571b23960a6b942c751d02715224075d7b314","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-06-18T15:23:40Z","title_canon_sha256":"76f737cfa3d9c6d94273f712f18d9923d17c81e2b0e7c6dc9903d5aa0f24cee1"},"schema_version":"1.0","source":{"id":"2506.15551","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.15551","created_at":"2026-07-05T11:23:45Z"},{"alias_kind":"arxiv_version","alias_value":"2506.15551v1","created_at":"2026-07-05T11:23:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.15551","created_at":"2026-07-05T11:23:45Z"},{"alias_kind":"pith_short_12","alias_value":"TM53CLUCJL67","created_at":"2026-07-05T11:23:45Z"},{"alias_kind":"pith_short_16","alias_value":"TM53CLUCJL67KEGJ","created_at":"2026-07-05T11:23:45Z"},{"alias_kind":"pith_short_8","alias_value":"TM53CLUC","created_at":"2026-07-05T11:23:45Z"}],"graph_snapshots":[{"event_id":"sha256:c2387ac2e036a70c6ea624d762f1671c808112027485b8159396164217648977","target":"graph","created_at":"2026-07-05T11:23:45Z","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/2506.15551/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A long-standing open problem in quantum complexity theory is whether ${\\sf QMA}$, the quantum analogue of ${\\sf NP}$, is equal to ${\\sf QMA}_1$, its one-sided error variant. We show that ${\\sf QMA}={\\sf QMA}^{\\infty}= {\\sf QMA}_1^{\\infty}$, where ${\\sf QMA}_1^\\infty$ is like ${\\sf QMA}_1$, but the verifier has an infinite register, as part of their witness system, in which they can efficiently perform a shift (increment) operation. We call this register an ``infinite counter'', and compare it to a program counter in a Las Vegas algorithm. The result ${\\sf QMA}={\\sf QMA}^\\infty$ means such an i","authors_text":"Freek Witteveen, Stacey Jeffery","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-06-18T15:23:40Z","title":"${\\sf QMA}={\\sf QMA}_1$ with an infinite counter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.15551","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":"sha256:04bddc49d43e39d4d0843858db0fe5060fd6a86d21ba7cb0766b0015fad52be6","target":"record","created_at":"2026-07-05T11:23:45Z","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":"acfd1c5d9ca2a539125c59ad062571b23960a6b942c751d02715224075d7b314","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-06-18T15:23:40Z","title_canon_sha256":"76f737cfa3d9c6d94273f712f18d9923d17c81e2b0e7c6dc9903d5aa0f24cee1"},"schema_version":"1.0","source":{"id":"2506.15551","kind":"arxiv","version":1}},"canonical_sha256":"9b3bb12e824afdf510c99c1990debb1512db5df2c9200a0819aef1f36c4ab8a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b3bb12e824afdf510c99c1990debb1512db5df2c9200a0819aef1f36c4ab8a8","first_computed_at":"2026-07-05T11:23:45.925270Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:23:45.925270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ILTZ/TzLhuBODqbfnSO1UDhQ6ovVOEmCVEEaBzXqzkOM/FBf1B6vrdHrp3064dYpjD1iCbOsx4PBzTHgNnh7Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:23:45.925857Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.15551","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:04bddc49d43e39d4d0843858db0fe5060fd6a86d21ba7cb0766b0015fad52be6","sha256:c2387ac2e036a70c6ea624d762f1671c808112027485b8159396164217648977"],"state_sha256":"93e819b27e63b8835dc6b1cae4db4ea482ea55d7e60fbba49d0f1c137cd21e84"}