{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:TRCSNK7V5YQLP3YUTGU2DKO66J","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":"850b0724e238cf872ff44af0550cd8bda23a3108e5c606f9fc1b2cc30d80f66b","cross_cats_sorted":["cs.CC","math.FA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-04-13T17:58:36Z","title_canon_sha256":"dba349733f8c9909333f0535ccb95233fc87dbbaf4badce9076ef758fc17334b"},"schema_version":"1.0","source":{"id":"2304.06713","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.06713","created_at":"2026-07-05T06:25:41Z"},{"alias_kind":"arxiv_version","alias_value":"2304.06713v2","created_at":"2026-07-05T06:25:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.06713","created_at":"2026-07-05T06:25:41Z"},{"alias_kind":"pith_short_12","alias_value":"TRCSNK7V5YQL","created_at":"2026-07-05T06:25:41Z"},{"alias_kind":"pith_short_16","alias_value":"TRCSNK7V5YQLP3YU","created_at":"2026-07-05T06:25:41Z"},{"alias_kind":"pith_short_8","alias_value":"TRCSNK7V","created_at":"2026-07-05T06:25:41Z"}],"graph_snapshots":[{"event_id":"sha256:d6dc31d630e9abf60f3429872f0d0aab1dd9c9b2f79ff1253abc123d49faa478","target":"graph","created_at":"2026-07-05T06:25:41Z","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/2304.06713/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give a new presentation of the main result of Arunachalam, Bri\\\"et and Palazuelos (SICOMP'19) and show that quantum query algorithms are characterized by a new class of polynomials which we call Fourier completely bounded polynomials. We conjecture that all such polynomials have an influential variable. This conjecture is weaker than the famous Aaronson-Ambainis (AA) conjecture (Theory of Computing'14), but has the same implications for classical simulation of quantum query algorithms.\n  We prove a new case of the AA conjecture by showing that it holds for homogeneous Fourier completely bou","authors_text":"Francisco Escudero Guti\\'errez","cross_cats":["cs.CC","math.FA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-04-13T17:58:36Z","title":"Influences of Fourier Completely Bounded Polynomials and Classical Simulation of Quantum Algorithms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.06713","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:c597dd3c7e820c20c1010cc8b09328c2400c3f99010a8c61e769ffe513d77f31","target":"record","created_at":"2026-07-05T06:25:41Z","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":"850b0724e238cf872ff44af0550cd8bda23a3108e5c606f9fc1b2cc30d80f66b","cross_cats_sorted":["cs.CC","math.FA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-04-13T17:58:36Z","title_canon_sha256":"dba349733f8c9909333f0535ccb95233fc87dbbaf4badce9076ef758fc17334b"},"schema_version":"1.0","source":{"id":"2304.06713","kind":"arxiv","version":2}},"canonical_sha256":"9c4526abf5ee20b7ef1499a9a1a9def2679520b29091bb81cbc80ecf6bf692bd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c4526abf5ee20b7ef1499a9a1a9def2679520b29091bb81cbc80ecf6bf692bd","first_computed_at":"2026-07-05T06:25:41.060498Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:25:41.060498Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xQcgTG85W5hRzQySeerYhFK9Vni7DLNVUp9h7wrAjtT4DPhtyUUBvnpLwRzq2MOaheJ8khBZaYlPIUnV+yH+DA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:25:41.060969Z","signed_message":"canonical_sha256_bytes"},"source_id":"2304.06713","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c597dd3c7e820c20c1010cc8b09328c2400c3f99010a8c61e769ffe513d77f31","sha256:d6dc31d630e9abf60f3429872f0d0aab1dd9c9b2f79ff1253abc123d49faa478"],"state_sha256":"64de43a94bb7a2dec13d1956d7dba38589d4627cca518174856086f159456d29"}