{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:LQMHETPGQLV5EVXBTKFG446HYM","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":"411b365f61ce9cfd2f70b1acbc8aa57ca2c4fb0c8bb8aa3b16249cc49eec5687","cross_cats_sorted":["cs.CC","cs.ET"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-07-10T16:30:58Z","title_canon_sha256":"046c5bfd3b79382b0f3b9acc8bd622c7925135ddb8b77e9c8f758e516d964943"},"schema_version":"1.0","source":{"id":"2007.05469","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.05469","created_at":"2026-07-05T04:12:33Z"},{"alias_kind":"arxiv_version","alias_value":"2007.05469v1","created_at":"2026-07-05T04:12:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.05469","created_at":"2026-07-05T04:12:33Z"},{"alias_kind":"pith_short_12","alias_value":"LQMHETPGQLV5","created_at":"2026-07-05T04:12:33Z"},{"alias_kind":"pith_short_16","alias_value":"LQMHETPGQLV5EVXB","created_at":"2026-07-05T04:12:33Z"},{"alias_kind":"pith_short_8","alias_value":"LQMHETPG","created_at":"2026-07-05T04:12:33Z"}],"graph_snapshots":[{"event_id":"sha256:9c9dd6be0b74f9d8d5b6e3d5dea2de1e191bad5a70600a51a18da53dc9277213","target":"graph","created_at":"2026-07-05T04:12:33Z","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/2007.05469/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Hidden Weighted Bit function plays an important role in the study of classical models of computation. A common belief is that this function is exponentially hard for the implementation by reversible ancilla-free circuits, even though introducing a small number of ancillae allows a very efficient implementation. In this paper, we refute the exponential hardness conjecture by developing a polynomial-size reversible ancilla-free circuit computing the Hidden Weighted Bit function. Our circuit has size $O(n^{6.42})$, where $n$ is the number of input bits. We also show that the Hidden Weighted B","authors_text":"Dmitri Maslov, Sergey Bravyi, Theodore J. Yoder","cross_cats":["cs.CC","cs.ET"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-07-10T16:30:58Z","title":"Efficient ancilla-free reversible and quantum circuits for the Hidden Weighted Bit function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.05469","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":"sha256:54d922f0d1f0c44782bac70e93ddda8d8bad07d186d3c0b571d132d721bf1c96","target":"record","created_at":"2026-07-05T04:12:33Z","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":"411b365f61ce9cfd2f70b1acbc8aa57ca2c4fb0c8bb8aa3b16249cc49eec5687","cross_cats_sorted":["cs.CC","cs.ET"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-07-10T16:30:58Z","title_canon_sha256":"046c5bfd3b79382b0f3b9acc8bd622c7925135ddb8b77e9c8f758e516d964943"},"schema_version":"1.0","source":{"id":"2007.05469","kind":"arxiv","version":1}},"canonical_sha256":"5c18724de682ebd256e19a8a6e73c7c332d9df944ddf8fb5b6651b35299d0991","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c18724de682ebd256e19a8a6e73c7c332d9df944ddf8fb5b6651b35299d0991","first_computed_at":"2026-07-05T04:12:33.755628Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:12:33.755628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tHxhh3aNSSU1QRX8VgnWb4FNb1R/TfVIDaNupNHUt9RU5u42r4rcIlLCCjbg5o5FfvvnaprfVI1eOrAxyUQvAA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:12:33.756003Z","signed_message":"canonical_sha256_bytes"},"source_id":"2007.05469","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54d922f0d1f0c44782bac70e93ddda8d8bad07d186d3c0b571d132d721bf1c96","sha256:9c9dd6be0b74f9d8d5b6e3d5dea2de1e191bad5a70600a51a18da53dc9277213"],"state_sha256":"900b7f723b54494c62d34bbf7841d191ed129ad17b4a8fcd456934ef47a14dfd"}