{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:R7YKTTVRJNV5KHH55Z3NGEVJPK","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":"1472c71e502bedb0bd0485690425f8575eab599a6553c5ae92b0fc380612dc36","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-06-06T08:42:09Z","title_canon_sha256":"d375f1a9a258b220f76407f5c80deae4cbe0ba9666bc9ab44cf4dd339282a175"},"schema_version":"1.0","source":{"id":"2406.03856","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.03856","created_at":"2026-07-05T10:36:25Z"},{"alias_kind":"arxiv_version","alias_value":"2406.03856v1","created_at":"2026-07-05T10:36:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.03856","created_at":"2026-07-05T10:36:25Z"},{"alias_kind":"pith_short_12","alias_value":"R7YKTTVRJNV5","created_at":"2026-07-05T10:36:25Z"},{"alias_kind":"pith_short_16","alias_value":"R7YKTTVRJNV5KHH5","created_at":"2026-07-05T10:36:25Z"},{"alias_kind":"pith_short_8","alias_value":"R7YKTTVR","created_at":"2026-07-05T10:36:25Z"}],"graph_snapshots":[{"event_id":"sha256:478b87405aa49050ac09a5eb01361d3a7081f5f0f4ea443fd0a320d42dd73eac","target":"graph","created_at":"2026-07-05T10:36:25Z","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/2406.03856/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop an approach for building quantum models based on the exponentially growing orthonormal basis of Hartley kernel functions. First, we design a differentiable Hartley feature map parametrized by real-valued argument that enables quantum models suitable for solving stochastic differential equations and regression problems. Unlike the naturally complex Fourier encoding, the proposed Hartley feature map circuit leads to quantum states with real-valued amplitudes, introducing an inductive bias and natural regularization. Next, we propose a quantum Hartley transform circuit as a map between","authors_text":"Hsin-Yu Wu, Oleksandr Kyriienko, Vincent E. Elfving","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-06-06T08:42:09Z","title":"Multidimensional Quantum Generative Modeling by Quantum Hartley Transform"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.03856","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:f4bc5fcf418397f4408b8f9fed5fac3094428a842dd8437c0299c6e353fcd669","target":"record","created_at":"2026-07-05T10:36:25Z","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":"1472c71e502bedb0bd0485690425f8575eab599a6553c5ae92b0fc380612dc36","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-06-06T08:42:09Z","title_canon_sha256":"d375f1a9a258b220f76407f5c80deae4cbe0ba9666bc9ab44cf4dd339282a175"},"schema_version":"1.0","source":{"id":"2406.03856","kind":"arxiv","version":1}},"canonical_sha256":"8ff0a9ceb14b6bd51cfdee76d312a97a8ac15c0e34d794d6e37ac21a3f3c7f3e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8ff0a9ceb14b6bd51cfdee76d312a97a8ac15c0e34d794d6e37ac21a3f3c7f3e","first_computed_at":"2026-07-05T10:36:25.544687Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:36:25.544687Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uA/rhKbf64ZNwrENkYGBMbIN33AAHRphRmnpLnRiTJtFRRUdJvRf+87MWm1TdKKluXC6aTZZeMcaR/bV9P12Ag==","signature_status":"signed_v1","signed_at":"2026-07-05T10:36:25.545572Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.03856","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f4bc5fcf418397f4408b8f9fed5fac3094428a842dd8437c0299c6e353fcd669","sha256:478b87405aa49050ac09a5eb01361d3a7081f5f0f4ea443fd0a320d42dd73eac"],"state_sha256":"0ddc6c6c0e884376048108e54b5577718defcf3ce4838da7ad4eaf01c0744f9b"}