{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3J7HBI4LIN7ZEKSI6VSD7IW72S","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":"fe5e6dc4f8a9702c74277fd3988b2ab9d6785ce02b06d6a3d3c367efe7476950","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-11T04:44:45Z","title_canon_sha256":"6a2e69bbf212544e2c681d4fc03c489178c60871cb08747c2ce378623bd6edc7"},"schema_version":"1.0","source":{"id":"1409.3323","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.3323","created_at":"2026-05-18T02:43:01Z"},{"alias_kind":"arxiv_version","alias_value":"1409.3323v1","created_at":"2026-05-18T02:43:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.3323","created_at":"2026-05-18T02:43:01Z"},{"alias_kind":"pith_short_12","alias_value":"3J7HBI4LIN7Z","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3J7HBI4LIN7ZEKSI","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3J7HBI4L","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:e3369add749860a9402f508657a7bc719341c5c96fee25c5d3816c42db194b16","target":"graph","created_at":"2026-05-18T02:43:01Z","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":"It has long been known that in the usual black-box model, one cannot get super-polynomial quantum speedups without some promise on the inputs. In this paper, we examine certain types of symmetric promises, and show that they also cannot give rise to super-polynomial quantum speedups. We conclude that exponential quantum speedups only occur given \"structured\" promises on the input.\n  Specifically, we show that there is a polynomial relationship of degree $12$ between $D(f)$ and $Q(f)$ for any function $f$ defined on permutations (elements of $\\{0,1,\\dots, M-1\\}^n$ in which each alphabet element","authors_text":"Shalev Ben-David","cross_cats":["cs.CC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-11T04:44:45Z","title":"The Structure of Promises in Quantum Speedups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.3323","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":"sha256:4cb53d5366eea55ac354f80806eb9231dcef3de0dafa7c7b7381a33f309ee4f9","target":"record","created_at":"2026-05-18T02:43:01Z","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":"fe5e6dc4f8a9702c74277fd3988b2ab9d6785ce02b06d6a3d3c367efe7476950","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-11T04:44:45Z","title_canon_sha256":"6a2e69bbf212544e2c681d4fc03c489178c60871cb08747c2ce378623bd6edc7"},"schema_version":"1.0","source":{"id":"1409.3323","kind":"arxiv","version":1}},"canonical_sha256":"da7e70a38b437f922a48f5643fa2dfd480ff7b3a9bbdbfa07d21acb686ecc88b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da7e70a38b437f922a48f5643fa2dfd480ff7b3a9bbdbfa07d21acb686ecc88b","first_computed_at":"2026-05-18T02:43:01.626943Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:01.626943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CsIfEwDNTAfCmjw2qcQ+hRwAvg2L0DzSPwVnVLQ6ATeSeBao5CaU7GE9ydccahcoLLnOVdPaEbqNVrv4yUNwCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:01.627443Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.3323","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4cb53d5366eea55ac354f80806eb9231dcef3de0dafa7c7b7381a33f309ee4f9","sha256:e3369add749860a9402f508657a7bc719341c5c96fee25c5d3816c42db194b16"],"state_sha256":"25cb2b340d21386fd363c1c293fa7d599b2c3a0406104dd8cdd10c74c957b035"}