{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:YRS3OGEBITALMAHWXAJVOD2JCO","short_pith_number":"pith:YRS3OGEB","schema_version":"1.0","canonical_sha256":"c465b7188144c0b600f6b813570f4913ab169848722063539ef285f10f2fd430","source":{"kind":"arxiv","id":"2608.07893","version":1},"attestation_state":"computed","paper":{"title":"Breaking the Curse of Dimensionality in Quantum PDE Solvers via Gevrey Regularity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Ala Shayeghi, Arsalan Motamedi, Grecia Castelazo, Mariia Sobchuk, Pooya Ronagh, Xiaoran Li","submitted_at":"2026-08-08T03:40:25Z","abstract_excerpt":"We connect different degrees of smoothness of real-valued periodic functions to the cost of preparing their high-precision Fourier-basis amplitude encodings as quantum states. Our central observation is that the Gevrey hierarchy, which stratifies the space between smooth and analytic functions, provides a natural class for high-precision quantum algorithms. We then specialize to solving general linear partial differential equations (PDEs), showing how our Fourier methods do so efficiently at varying target precisions on a quantum computer. This also demonstrates how our framework enables passa"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2608.07893","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-08-08T03:40:25Z","cross_cats_sorted":[],"title_canon_sha256":"08bab3fe309e75bbd8612e2388ace9b16f559cccec719a56ba1db59bf27512bf","abstract_canon_sha256":"18a1199a03542d5993846df345304dcfb54087aa317550002858f89d45ea806d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-11T01:18:51.501498Z","signature_b64":"+cpnumMddgQcrLFcwziWHUk0stkHdvE9GvVT9jWxeHQScmubUzUY5RQx2cNA8ivD1X6rcYg629HvAS6HrFyABA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c465b7188144c0b600f6b813570f4913ab169848722063539ef285f10f2fd430","last_reissued_at":"2026-08-11T01:18:51.498862Z","signature_status":"signed_v1","first_computed_at":"2026-08-11T01:18:51.498862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Breaking the Curse of Dimensionality in Quantum PDE Solvers via Gevrey Regularity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Ala Shayeghi, Arsalan Motamedi, Grecia Castelazo, Mariia Sobchuk, Pooya Ronagh, Xiaoran Li","submitted_at":"2026-08-08T03:40:25Z","abstract_excerpt":"We connect different degrees of smoothness of real-valued periodic functions to the cost of preparing their high-precision Fourier-basis amplitude encodings as quantum states. Our central observation is that the Gevrey hierarchy, which stratifies the space between smooth and analytic functions, provides a natural class for high-precision quantum algorithms. We then specialize to solving general linear partial differential equations (PDEs), showing how our Fourier methods do so efficiently at varying target precisions on a quantum computer. This also demonstrates how our framework enables passa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.07893","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.07893/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2608.07893","created_at":"2026-08-11T01:18:51.499633+00:00"},{"alias_kind":"arxiv_version","alias_value":"2608.07893v1","created_at":"2026-08-11T01:18:51.499633+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.07893","created_at":"2026-08-11T01:18:51.499633+00:00"},{"alias_kind":"pith_short_12","alias_value":"YRS3OGEBITAL","created_at":"2026-08-11T01:18:51.499633+00:00"},{"alias_kind":"pith_short_16","alias_value":"YRS3OGEBITALMAHW","created_at":"2026-08-11T01:18:51.499633+00:00"},{"alias_kind":"pith_short_8","alias_value":"YRS3OGEB","created_at":"2026-08-11T01:18:51.499633+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YRS3OGEBITALMAHWXAJVOD2JCO","json":"https://pith.science/pith/YRS3OGEBITALMAHWXAJVOD2JCO.json","graph_json":"https://pith.science/api/pith-number/YRS3OGEBITALMAHWXAJVOD2JCO/graph.json","events_json":"https://pith.science/api/pith-number/YRS3OGEBITALMAHWXAJVOD2JCO/events.json","paper":"https://pith.science/paper/YRS3OGEB"},"agent_actions":{"view_html":"https://pith.science/pith/YRS3OGEBITALMAHWXAJVOD2JCO","download_json":"https://pith.science/pith/YRS3OGEBITALMAHWXAJVOD2JCO.json","view_paper":"https://pith.science/paper/YRS3OGEB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2608.07893&json=true","fetch_graph":"https://pith.science/api/pith-number/YRS3OGEBITALMAHWXAJVOD2JCO/graph.json","fetch_events":"https://pith.science/api/pith-number/YRS3OGEBITALMAHWXAJVOD2JCO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YRS3OGEBITALMAHWXAJVOD2JCO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YRS3OGEBITALMAHWXAJVOD2JCO/action/storage_attestation","attest_author":"https://pith.science/pith/YRS3OGEBITALMAHWXAJVOD2JCO/action/author_attestation","sign_citation":"https://pith.science/pith/YRS3OGEBITALMAHWXAJVOD2JCO/action/citation_signature","submit_replication":"https://pith.science/pith/YRS3OGEBITALMAHWXAJVOD2JCO/action/replication_record"}},"created_at":"2026-08-11T01:18:51.499633+00:00","updated_at":"2026-08-11T01:18:51.499633+00:00"}