{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:LQZLLRJ5M2ETFNPZ6U2FWYGOIK","short_pith_number":"pith:LQZLLRJ5","canonical_record":{"source":{"id":"1609.01600","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-06T15:21:54Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"08fce6e354333cc188ec7f79c7b9e161046bde0bd16c8997985eb95c8721ff0d","abstract_canon_sha256":"62b63c897f5477534b17ba6ded26d4c843874248012a8e845b211b1b78095184"},"schema_version":"1.0"},"canonical_sha256":"5c32b5c53d668932b5f9f5345b60ce4295992ace7ccb165d64e4fbc10c174063","source":{"kind":"arxiv","id":"1609.01600","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.01600","created_at":"2026-05-18T01:05:39Z"},{"alias_kind":"arxiv_version","alias_value":"1609.01600v1","created_at":"2026-05-18T01:05:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.01600","created_at":"2026-05-18T01:05:39Z"},{"alias_kind":"pith_short_12","alias_value":"LQZLLRJ5M2ET","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LQZLLRJ5M2ETFNPZ","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LQZLLRJ5","created_at":"2026-05-18T12:30:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:LQZLLRJ5M2ETFNPZ6U2FWYGOIK","target":"record","payload":{"canonical_record":{"source":{"id":"1609.01600","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-06T15:21:54Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"08fce6e354333cc188ec7f79c7b9e161046bde0bd16c8997985eb95c8721ff0d","abstract_canon_sha256":"62b63c897f5477534b17ba6ded26d4c843874248012a8e845b211b1b78095184"},"schema_version":"1.0"},"canonical_sha256":"5c32b5c53d668932b5f9f5345b60ce4295992ace7ccb165d64e4fbc10c174063","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:39.180786Z","signature_b64":"+M6mGrAS4p+m73VCaflnTnGEaRwHhh2i5Ri6krNwOERmKMyQyoYMUkybuGlX2sGz/Me1BdOQpfFpAhr6QdNEDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c32b5c53d668932b5f9f5345b60ce4295992ace7ccb165d64e4fbc10c174063","last_reissued_at":"2026-05-18T01:05:39.180209Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:39.180209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.01600","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":"2026-05-18T01:05:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4zDzh/tPFN8tPH/Dq1/67DP9wOIDSXaHkWRlJcayV5qw3WAgww/2lOG7gB7lDsMycO4omR9rAl6Xu5L8bk0yAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:53:01.539570Z"},"content_sha256":"4118b63cb707f93086475cdd26f203e97c535447abdb272a0534b219e596f471","schema_version":"1.0","event_id":"sha256:4118b63cb707f93086475cdd26f203e97c535447abdb272a0534b219e596f471"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:LQZLLRJ5M2ETFNPZ6U2FWYGOIK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum conditional query complexity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"quant-ph","authors_text":"Imdad S. B. Sardharwalla, Richard Jozsa, Sergii Strelchuk","submitted_at":"2016-09-06T15:21:54Z","abstract_excerpt":"We define and study a new type of quantum oracle, the quantum conditional oracle, which provides oracle access to the conditional probabilities associated with an underlying distribution. Amongst other properties, we (a) obtain speed-ups over the best known quantum algorithms for identity testing, equivalence testing and uniformity testing of probability distributions; (b) study the power of these oracles for testing properties of boolean functions, and obtain an algorithm for checking whether an $n$-input $m$-output boolean function is balanced or $\\epsilon$-far from balanced; and (c) give a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.01600","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":""},"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":"2026-05-18T01:05:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qezKNRqk/abPLY+pJdE+gfTHRl0TnPZ76XsbQ0JNUx59PbwzhwGOn0sktN/SRUE+/KFRma9fLA1zySrxAOuECg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T21:53:01.540234Z"},"content_sha256":"9386731238a505f421f0dfd02a28ecf4b41f95bb7adf05afd5fef523190e4eb9","schema_version":"1.0","event_id":"sha256:9386731238a505f421f0dfd02a28ecf4b41f95bb7adf05afd5fef523190e4eb9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LQZLLRJ5M2ETFNPZ6U2FWYGOIK/bundle.json","state_url":"https://pith.science/pith/LQZLLRJ5M2ETFNPZ6U2FWYGOIK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LQZLLRJ5M2ETFNPZ6U2FWYGOIK/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":"2026-05-26T21:53:01Z","links":{"resolver":"https://pith.science/pith/LQZLLRJ5M2ETFNPZ6U2FWYGOIK","bundle":"https://pith.science/pith/LQZLLRJ5M2ETFNPZ6U2FWYGOIK/bundle.json","state":"https://pith.science/pith/LQZLLRJ5M2ETFNPZ6U2FWYGOIK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LQZLLRJ5M2ETFNPZ6U2FWYGOIK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LQZLLRJ5M2ETFNPZ6U2FWYGOIK","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":"62b63c897f5477534b17ba6ded26d4c843874248012a8e845b211b1b78095184","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-06T15:21:54Z","title_canon_sha256":"08fce6e354333cc188ec7f79c7b9e161046bde0bd16c8997985eb95c8721ff0d"},"schema_version":"1.0","source":{"id":"1609.01600","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.01600","created_at":"2026-05-18T01:05:39Z"},{"alias_kind":"arxiv_version","alias_value":"1609.01600v1","created_at":"2026-05-18T01:05:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.01600","created_at":"2026-05-18T01:05:39Z"},{"alias_kind":"pith_short_12","alias_value":"LQZLLRJ5M2ET","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LQZLLRJ5M2ETFNPZ","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LQZLLRJ5","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:9386731238a505f421f0dfd02a28ecf4b41f95bb7adf05afd5fef523190e4eb9","target":"graph","created_at":"2026-05-18T01:05:39Z","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":"We define and study a new type of quantum oracle, the quantum conditional oracle, which provides oracle access to the conditional probabilities associated with an underlying distribution. Amongst other properties, we (a) obtain speed-ups over the best known quantum algorithms for identity testing, equivalence testing and uniformity testing of probability distributions; (b) study the power of these oracles for testing properties of boolean functions, and obtain an algorithm for checking whether an $n$-input $m$-output boolean function is balanced or $\\epsilon$-far from balanced; and (c) give a ","authors_text":"Imdad S. B. Sardharwalla, Richard Jozsa, Sergii Strelchuk","cross_cats":["cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-06T15:21:54Z","title":"Quantum conditional query complexity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.01600","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":"sha256:4118b63cb707f93086475cdd26f203e97c535447abdb272a0534b219e596f471","target":"record","created_at":"2026-05-18T01:05:39Z","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":"62b63c897f5477534b17ba6ded26d4c843874248012a8e845b211b1b78095184","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-09-06T15:21:54Z","title_canon_sha256":"08fce6e354333cc188ec7f79c7b9e161046bde0bd16c8997985eb95c8721ff0d"},"schema_version":"1.0","source":{"id":"1609.01600","kind":"arxiv","version":1}},"canonical_sha256":"5c32b5c53d668932b5f9f5345b60ce4295992ace7ccb165d64e4fbc10c174063","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c32b5c53d668932b5f9f5345b60ce4295992ace7ccb165d64e4fbc10c174063","first_computed_at":"2026-05-18T01:05:39.180209Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:39.180209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+M6mGrAS4p+m73VCaflnTnGEaRwHhh2i5Ri6krNwOERmKMyQyoYMUkybuGlX2sGz/Me1BdOQpfFpAhr6QdNEDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:39.180786Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.01600","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4118b63cb707f93086475cdd26f203e97c535447abdb272a0534b219e596f471","sha256:9386731238a505f421f0dfd02a28ecf4b41f95bb7adf05afd5fef523190e4eb9"],"state_sha256":"c0a672a8d7241ee12a7d41d6cd4d6f23762c45723982e19816936b6efa7ab2e5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"unY0R1lf0DQZVJdCvKQfOwWveKk65fWQoblpWyrQscJBZ9yU9Q2ezQ5LkGO/Oi2MLPT7mH0IdTvp0lYT9ibqBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T21:53:01.544174Z","bundle_sha256":"1e771d36be861c2fa09fbb8e8fff21d75a36a870a2271f1968c450d353adc2f3"}}