{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:2YOWTMAUYWNSD35RURJ42Y5D3M","short_pith_number":"pith:2YOWTMAU","canonical_record":{"source":{"id":"2608.07986","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-08-08T07:45:56Z","cross_cats_sorted":["cs.CC"],"title_canon_sha256":"094e7bb47629cecfc9c5082087570c512d6172032d89c5fc624b19726d8c4581","abstract_canon_sha256":"b28859b1e586fb6fccc2d1bfd414f70e72f38b19ed69617d0d819e4807d229b0"},"schema_version":"1.0"},"canonical_sha256":"d61d69b014c59b21efb1a453cd63a3db139e66f9c39b17f8b255ae4e77949bd4","source":{"kind":"arxiv","id":"2608.07986","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.07986","created_at":"2026-08-11T01:21:18Z"},{"alias_kind":"arxiv_version","alias_value":"2608.07986v1","created_at":"2026-08-11T01:21:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.07986","created_at":"2026-08-11T01:21:18Z"},{"alias_kind":"pith_short_12","alias_value":"2YOWTMAUYWNS","created_at":"2026-08-11T01:21:18Z"},{"alias_kind":"pith_short_16","alias_value":"2YOWTMAUYWNSD35R","created_at":"2026-08-11T01:21:18Z"},{"alias_kind":"pith_short_8","alias_value":"2YOWTMAU","created_at":"2026-08-11T01:21:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:2YOWTMAUYWNSD35RURJ42Y5D3M","target":"record","payload":{"canonical_record":{"source":{"id":"2608.07986","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-08-08T07:45:56Z","cross_cats_sorted":["cs.CC"],"title_canon_sha256":"094e7bb47629cecfc9c5082087570c512d6172032d89c5fc624b19726d8c4581","abstract_canon_sha256":"b28859b1e586fb6fccc2d1bfd414f70e72f38b19ed69617d0d819e4807d229b0"},"schema_version":"1.0"},"canonical_sha256":"d61d69b014c59b21efb1a453cd63a3db139e66f9c39b17f8b255ae4e77949bd4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-11T01:21:18.774777Z","signature_b64":"Llrv4LiiGQrCZoWm3MXzWu9zBTC+4tLi/f1K06d/z+f9HRd3EU2BuQwZvnc6EK/TonMempGWT2x/s2SI9zJgAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d61d69b014c59b21efb1a453cd63a3db139e66f9c39b17f8b255ae4e77949bd4","last_reissued_at":"2026-08-11T01:21:18.772323Z","signature_status":"signed_v1","first_computed_at":"2026-08-11T01:21:18.772323Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.07986","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-11T01:21:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HOTGxpLDZd1yLwD2ekVNhM1R3OSKdrH2ZyGpJuA7Yqj/JIoq8R30hGwwyWyAzHzZ+6yEdsPheaTU3Zqf/aakAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T19:51:25.542418Z"},"content_sha256":"a5f18f6306e87c8de31de6ce94a3ed40763ec91915b818ed102e112c7e97730b","schema_version":"1.0","event_id":"sha256:a5f18f6306e87c8de31de6ce94a3ed40763ec91915b818ed102e112c7e97730b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:2YOWTMAUYWNSD35RURJ42Y5D3M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.CC"],"primary_cat":"quant-ph","authors_text":"Masayuki Miyamoto","submitted_at":"2026-08-08T07:45:56Z","abstract_excerpt":"We study gap amplification of the class $\\mathsf{QMA}^{+}(2)$ characterized by unentangled quantum proofs whose amplitudes are nonnegative in the computational basis. This class was recently introduced by Jeronimo and Wu (STOC 2023), and its behavior depends sharply on the completeness-soundness gap: although it captures the power of $\\mathsf{NEXP}$ for some small constant gap, it is equal to $\\mathsf{QMA}(2)$ for larger constant gap. This is in stark contrast to $\\mathsf{QMA}(2)$ where strong gap amplification is known due to the product test by Harrow and Montanaro (FOCS 2010, JACM 2013).\n  "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.07986","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.07986/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-11T01:21:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ExdAkUFl9fWMZm2r8LMXUx53rb8/8v+I8YUHiDt7z3nYbucsOGB+oFn7wPXqJtsCzFEfcmzLhJYMTa9ZyNn4DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T19:51:25.542932Z"},"content_sha256":"eb5434e526f1a4bae3ed121ee1aa29daf558ec038662b9b060947afbb09bbf74","schema_version":"1.0","event_id":"sha256:eb5434e526f1a4bae3ed121ee1aa29daf558ec038662b9b060947afbb09bbf74"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2YOWTMAUYWNSD35RURJ42Y5D3M/bundle.json","state_url":"https://pith.science/pith/2YOWTMAUYWNSD35RURJ42Y5D3M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2YOWTMAUYWNSD35RURJ42Y5D3M/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-12T19:51:25Z","links":{"resolver":"https://pith.science/pith/2YOWTMAUYWNSD35RURJ42Y5D3M","bundle":"https://pith.science/pith/2YOWTMAUYWNSD35RURJ42Y5D3M/bundle.json","state":"https://pith.science/pith/2YOWTMAUYWNSD35RURJ42Y5D3M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2YOWTMAUYWNSD35RURJ42Y5D3M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:2YOWTMAUYWNSD35RURJ42Y5D3M","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":"b28859b1e586fb6fccc2d1bfd414f70e72f38b19ed69617d0d819e4807d229b0","cross_cats_sorted":["cs.CC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-08-08T07:45:56Z","title_canon_sha256":"094e7bb47629cecfc9c5082087570c512d6172032d89c5fc624b19726d8c4581"},"schema_version":"1.0","source":{"id":"2608.07986","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.07986","created_at":"2026-08-11T01:21:18Z"},{"alias_kind":"arxiv_version","alias_value":"2608.07986v1","created_at":"2026-08-11T01:21:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.07986","created_at":"2026-08-11T01:21:18Z"},{"alias_kind":"pith_short_12","alias_value":"2YOWTMAUYWNS","created_at":"2026-08-11T01:21:18Z"},{"alias_kind":"pith_short_16","alias_value":"2YOWTMAUYWNSD35R","created_at":"2026-08-11T01:21:18Z"},{"alias_kind":"pith_short_8","alias_value":"2YOWTMAU","created_at":"2026-08-11T01:21:18Z"}],"graph_snapshots":[{"event_id":"sha256:eb5434e526f1a4bae3ed121ee1aa29daf558ec038662b9b060947afbb09bbf74","target":"graph","created_at":"2026-08-11T01:21:18Z","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/2608.07986/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study gap amplification of the class $\\mathsf{QMA}^{+}(2)$ characterized by unentangled quantum proofs whose amplitudes are nonnegative in the computational basis. This class was recently introduced by Jeronimo and Wu (STOC 2023), and its behavior depends sharply on the completeness-soundness gap: although it captures the power of $\\mathsf{NEXP}$ for some small constant gap, it is equal to $\\mathsf{QMA}(2)$ for larger constant gap. This is in stark contrast to $\\mathsf{QMA}(2)$ where strong gap amplification is known due to the product test by Harrow and Montanaro (FOCS 2010, JACM 2013).\n  ","authors_text":"Masayuki Miyamoto","cross_cats":["cs.CC"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-08-08T07:45:56Z","title":"Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.07986","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:a5f18f6306e87c8de31de6ce94a3ed40763ec91915b818ed102e112c7e97730b","target":"record","created_at":"2026-08-11T01:21:18Z","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":"b28859b1e586fb6fccc2d1bfd414f70e72f38b19ed69617d0d819e4807d229b0","cross_cats_sorted":["cs.CC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-08-08T07:45:56Z","title_canon_sha256":"094e7bb47629cecfc9c5082087570c512d6172032d89c5fc624b19726d8c4581"},"schema_version":"1.0","source":{"id":"2608.07986","kind":"arxiv","version":1}},"canonical_sha256":"d61d69b014c59b21efb1a453cd63a3db139e66f9c39b17f8b255ae4e77949bd4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d61d69b014c59b21efb1a453cd63a3db139e66f9c39b17f8b255ae4e77949bd4","first_computed_at":"2026-08-11T01:21:18.772323Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-11T01:21:18.772323Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Llrv4LiiGQrCZoWm3MXzWu9zBTC+4tLi/f1K06d/z+f9HRd3EU2BuQwZvnc6EK/TonMempGWT2x/s2SI9zJgAg==","signature_status":"signed_v1","signed_at":"2026-08-11T01:21:18.774777Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.07986","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a5f18f6306e87c8de31de6ce94a3ed40763ec91915b818ed102e112c7e97730b","sha256:eb5434e526f1a4bae3ed121ee1aa29daf558ec038662b9b060947afbb09bbf74"],"state_sha256":"08d4fba08020c48bf6b3981ee299173e4fc290ec65615513580b7a9c06802ce9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xSNljOnk/V/9JRchE+k4AiZa3qiWRKinyyjyDGEAkMngXVbX33OuCZ42GFNWvPUBx0gpeqPWJ1A3MwwfgSJnCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T19:51:25.548448Z","bundle_sha256":"0d384a91942357907124baa66c2873060d266d087318d944ef0a48c864df5f99"}}