{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:J7RRPKCMGGYBAAK7LHZWTFKASP","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":"43f96dd44a5a461c9f6f401f36f5fb754fa5459c12aa40aae3d2df970695e504","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2018-04-26T12:09:46Z","title_canon_sha256":"a8caf3e6134f566c78dc19fac3c60707083858ca3cc7d324eca6d1c99bfe6ef5"},"schema_version":"1.0","source":{"id":"1804.10010","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.10010","created_at":"2026-05-18T00:16:07Z"},{"alias_kind":"arxiv_version","alias_value":"1804.10010v2","created_at":"2026-05-18T00:16:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.10010","created_at":"2026-05-18T00:16:07Z"},{"alias_kind":"pith_short_12","alias_value":"J7RRPKCMGGYB","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"J7RRPKCMGGYBAAK7","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"J7RRPKCM","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:f4546b59e058577bd7d86a083331150c02f04b9c4bf4c8a968614967b0a35111","target":"graph","created_at":"2026-05-18T00:16:07Z","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 study classical query algorithms with post-selection, and find that they are closely connected to rational functions with nonnegative coefficients. We show that the post-selected classical query complexity of a Boolean function is equal to the minimal degree of a rational function with nonnegative coefficients that approximates it (up to a factor of two). For post-selected quantum query algorithms, a similar relationship was shown by Mahadev and de Wolf, where the rational approximations are allowed to have negative coefficients. Using our characterisation, we find an exponentially large se","authors_text":"Chris Cade","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2018-04-26T12:09:46Z","title":"Post-selected Classical Query Complexity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.10010","kind":"arxiv","version":2},"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":"sha256:6d85c67f24cc8c0b031fdcbc2299d508f50e884194408721aaefeedb18981bd0","target":"record","created_at":"2026-05-18T00:16:07Z","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":"43f96dd44a5a461c9f6f401f36f5fb754fa5459c12aa40aae3d2df970695e504","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2018-04-26T12:09:46Z","title_canon_sha256":"a8caf3e6134f566c78dc19fac3c60707083858ca3cc7d324eca6d1c99bfe6ef5"},"schema_version":"1.0","source":{"id":"1804.10010","kind":"arxiv","version":2}},"canonical_sha256":"4fe317a84c31b010015f59f369954093c6974211c168dc5746cac5a372882fa5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4fe317a84c31b010015f59f369954093c6974211c168dc5746cac5a372882fa5","first_computed_at":"2026-05-18T00:16:07.411234Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:07.411234Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qcmGeUQnS/8cTgkBp9QlXk7DwtpgXuJa0AjCPPp0EvZHNjRkTqzGYzAY17ApIcJgYjl4X8OhzFGP7klAL+4IBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:07.411907Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.10010","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d85c67f24cc8c0b031fdcbc2299d508f50e884194408721aaefeedb18981bd0","sha256:f4546b59e058577bd7d86a083331150c02f04b9c4bf4c8a968614967b0a35111"],"state_sha256":"b4fae4f19ac2b0ace7e911ccae0a93c70fad7b8d478041665b9e28e9864d5f6e"}