{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:GQTBMUNK6BQTTSD3JQW5IFFVW7","short_pith_number":"pith:GQTBMUNK","canonical_record":{"source":{"id":"2211.11729","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-11-21T18:47:46Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"53aa4dafd83d8e8f5d63e03ca82cf2ee2a69930030cc6e5b1c4bb48834a758d7","abstract_canon_sha256":"bbf51091b00a2f62911480bee3af4053136352765fde99a0e22186bda6a11263"},"schema_version":"1.0"},"canonical_sha256":"34261651aaf06139c87b4c2dd414b5b7c2cd6cc7b82cce0d1e93bac8406d54d1","source":{"kind":"arxiv","id":"2211.11729","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.11729","created_at":"2026-07-05T05:17:57Z"},{"alias_kind":"arxiv_version","alias_value":"2211.11729v1","created_at":"2026-07-05T05:17:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.11729","created_at":"2026-07-05T05:17:57Z"},{"alias_kind":"pith_short_12","alias_value":"GQTBMUNK6BQT","created_at":"2026-07-05T05:17:57Z"},{"alias_kind":"pith_short_16","alias_value":"GQTBMUNK6BQTTSD3","created_at":"2026-07-05T05:17:57Z"},{"alias_kind":"pith_short_8","alias_value":"GQTBMUNK","created_at":"2026-07-05T05:17:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:GQTBMUNK6BQTTSD3JQW5IFFVW7","target":"record","payload":{"canonical_record":{"source":{"id":"2211.11729","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-11-21T18:47:46Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"53aa4dafd83d8e8f5d63e03ca82cf2ee2a69930030cc6e5b1c4bb48834a758d7","abstract_canon_sha256":"bbf51091b00a2f62911480bee3af4053136352765fde99a0e22186bda6a11263"},"schema_version":"1.0"},"canonical_sha256":"34261651aaf06139c87b4c2dd414b5b7c2cd6cc7b82cce0d1e93bac8406d54d1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:17:57.257346Z","signature_b64":"6X1M+HJhiOi0g1p3KhLEEz19fCf25MnnYHhjukgN3rrcZFKhMfQNtn/mDkWiMnfdNtgOT9XVqQjVUdUSvCE/CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"34261651aaf06139c87b4c2dd414b5b7c2cd6cc7b82cce0d1e93bac8406d54d1","last_reissued_at":"2026-07-05T05:17:57.256879Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:17:57.256879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2211.11729","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":"2026-07-05T05:17:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EFVt/ml/k70C57M5bY3CoztJhL0OtWuzIiNDHF5lqM4AITEn57M42oDE3XQm+6wDQzUKTMVbQW79gaZRvxFjDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T14:08:08.003345Z"},"content_sha256":"af4e36f05db5591ae060da4aad8d86677e5654674c9c968c0da06d066ac788db","schema_version":"1.0","event_id":"sha256:af4e36f05db5591ae060da4aad8d86677e5654674c9c968c0da06d066ac788db"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:GQTBMUNK6BQTTSD3JQW5IFFVW7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum majority vote","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"quant-ph","authors_text":"Ashley Montanaro, Harry Buhrman, Laura Man\\v{c}inska, Maris Ozols, Noah Linden","submitted_at":"2022-11-21T18:47:46Z","abstract_excerpt":"Majority vote is a basic method for amplifying correct outcomes that is widely used in computer science and beyond. While it can amplify the correctness of a quantum device with classical output, the analogous procedure for quantum output is not known. We introduce quantum majority vote as the following task: given a product state $|\\psi_1\\rangle \\otimes \\dots \\otimes |\\psi_n\\rangle$ where each qubit is in one of two orthogonal states $|\\psi\\rangle$ or $|\\psi^\\perp\\rangle$, output the majority state. We show that an optimal algorithm for this problem achieves worst-case fidelity of $1/2 + \\The"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.11729","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/2211.11729/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":"2026-07-05T05:17:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D5nxX1NDwoVYYiLXiRvap2qSDUJYy7wyylqFU0Nfg1/o8lxBLPqeLVhAze2Pc8Eg69v0pb9cm0dXaSaF2gsWCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T14:08:08.003973Z"},"content_sha256":"3cd89517195fdee03adbcfed02c68bd44180c5d68167ad1069379197458d7cf4","schema_version":"1.0","event_id":"sha256:3cd89517195fdee03adbcfed02c68bd44180c5d68167ad1069379197458d7cf4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GQTBMUNK6BQTTSD3JQW5IFFVW7/bundle.json","state_url":"https://pith.science/pith/GQTBMUNK6BQTTSD3JQW5IFFVW7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GQTBMUNK6BQTTSD3JQW5IFFVW7/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":"2026-08-12T14:08:08Z","links":{"resolver":"https://pith.science/pith/GQTBMUNK6BQTTSD3JQW5IFFVW7","bundle":"https://pith.science/pith/GQTBMUNK6BQTTSD3JQW5IFFVW7/bundle.json","state":"https://pith.science/pith/GQTBMUNK6BQTTSD3JQW5IFFVW7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GQTBMUNK6BQTTSD3JQW5IFFVW7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:GQTBMUNK6BQTTSD3JQW5IFFVW7","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":"bbf51091b00a2f62911480bee3af4053136352765fde99a0e22186bda6a11263","cross_cats_sorted":["math.RT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-11-21T18:47:46Z","title_canon_sha256":"53aa4dafd83d8e8f5d63e03ca82cf2ee2a69930030cc6e5b1c4bb48834a758d7"},"schema_version":"1.0","source":{"id":"2211.11729","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.11729","created_at":"2026-07-05T05:17:57Z"},{"alias_kind":"arxiv_version","alias_value":"2211.11729v1","created_at":"2026-07-05T05:17:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.11729","created_at":"2026-07-05T05:17:57Z"},{"alias_kind":"pith_short_12","alias_value":"GQTBMUNK6BQT","created_at":"2026-07-05T05:17:57Z"},{"alias_kind":"pith_short_16","alias_value":"GQTBMUNK6BQTTSD3","created_at":"2026-07-05T05:17:57Z"},{"alias_kind":"pith_short_8","alias_value":"GQTBMUNK","created_at":"2026-07-05T05:17:57Z"}],"graph_snapshots":[{"event_id":"sha256:3cd89517195fdee03adbcfed02c68bd44180c5d68167ad1069379197458d7cf4","target":"graph","created_at":"2026-07-05T05:17:57Z","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/2211.11729/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Majority vote is a basic method for amplifying correct outcomes that is widely used in computer science and beyond. While it can amplify the correctness of a quantum device with classical output, the analogous procedure for quantum output is not known. We introduce quantum majority vote as the following task: given a product state $|\\psi_1\\rangle \\otimes \\dots \\otimes |\\psi_n\\rangle$ where each qubit is in one of two orthogonal states $|\\psi\\rangle$ or $|\\psi^\\perp\\rangle$, output the majority state. We show that an optimal algorithm for this problem achieves worst-case fidelity of $1/2 + \\The","authors_text":"Ashley Montanaro, Harry Buhrman, Laura Man\\v{c}inska, Maris Ozols, Noah Linden","cross_cats":["math.RT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-11-21T18:47:46Z","title":"Quantum majority vote"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.11729","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:af4e36f05db5591ae060da4aad8d86677e5654674c9c968c0da06d066ac788db","target":"record","created_at":"2026-07-05T05:17:57Z","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":"bbf51091b00a2f62911480bee3af4053136352765fde99a0e22186bda6a11263","cross_cats_sorted":["math.RT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-11-21T18:47:46Z","title_canon_sha256":"53aa4dafd83d8e8f5d63e03ca82cf2ee2a69930030cc6e5b1c4bb48834a758d7"},"schema_version":"1.0","source":{"id":"2211.11729","kind":"arxiv","version":1}},"canonical_sha256":"34261651aaf06139c87b4c2dd414b5b7c2cd6cc7b82cce0d1e93bac8406d54d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34261651aaf06139c87b4c2dd414b5b7c2cd6cc7b82cce0d1e93bac8406d54d1","first_computed_at":"2026-07-05T05:17:57.256879Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:17:57.256879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6X1M+HJhiOi0g1p3KhLEEz19fCf25MnnYHhjukgN3rrcZFKhMfQNtn/mDkWiMnfdNtgOT9XVqQjVUdUSvCE/CA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:17:57.257346Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.11729","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af4e36f05db5591ae060da4aad8d86677e5654674c9c968c0da06d066ac788db","sha256:3cd89517195fdee03adbcfed02c68bd44180c5d68167ad1069379197458d7cf4"],"state_sha256":"d6b1aead9c12be2f20ab53722af020cee2a78f516b13414f49c32c31866d00a0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Psvpp8V9zkHBiHp4RKxoTzOu6iIiSlrkRVKX7H1WaVNx9QVSzTEzM92f5Gbv8vk7/QCWCE5JoSCHVpCBi9Y4Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T14:08:08.009832Z","bundle_sha256":"78fc48f7de9ebb0bf03c350fe78c4872fef68f838090580965a8078e9c723f64"}}