{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:XV46FP3WKRANMBE4ZSVY7F5VDE","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":"a29b03b7b3d56f821521eca47544479968c35db73fdcb4a00b0791ea4b0e2295","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-09-19T20:30:02Z","title_canon_sha256":"793f1c6d5bc1f708cd305b224d411fa0a0608fac7e9e6e5f9234c50a2399eddc"},"schema_version":"1.0","source":{"id":"2109.09216","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.09216","created_at":"2026-07-05T03:15:43Z"},{"alias_kind":"arxiv_version","alias_value":"2109.09216v1","created_at":"2026-07-05T03:15:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.09216","created_at":"2026-07-05T03:15:43Z"},{"alias_kind":"pith_short_12","alias_value":"XV46FP3WKRAN","created_at":"2026-07-05T03:15:43Z"},{"alias_kind":"pith_short_16","alias_value":"XV46FP3WKRANMBE4","created_at":"2026-07-05T03:15:43Z"},{"alias_kind":"pith_short_8","alias_value":"XV46FP3W","created_at":"2026-07-05T03:15:43Z"}],"graph_snapshots":[{"event_id":"sha256:5afd9c8200f6fb4dd6fb3b9cf196acc65c4e732a552c5d369c46a06f8a4d389e","target":"graph","created_at":"2026-07-05T03:15:43Z","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/2109.09216/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"To solve nonlinear partial differential equations (PDEs) is one of the most common but important tasks in not only basic sciences but also many practical industries. We here propose a quantum variational (QuVa) PDE solver with the aid of machine learning (ML) schemes to synergise two emerging technologies in mathematically hard problems. The core quantum processing in this solver is to calculate efficiently the expectation value of specially designed quantum operators. For a large quantum system, we only obtain data from measurements of few control qubits to avoid the exponential cost in the m","authors_text":"Hyungil Moon, Jaewoo Joo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-09-19T20:30:02Z","title":"Quantum variational PDE solver with machine learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.09216","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:d02e15b4d16ec5c2eeeecbb7470aa57ab6638d2ce22d520ff1e8c24d8d34a0c3","target":"record","created_at":"2026-07-05T03:15:43Z","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":"a29b03b7b3d56f821521eca47544479968c35db73fdcb4a00b0791ea4b0e2295","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-09-19T20:30:02Z","title_canon_sha256":"793f1c6d5bc1f708cd305b224d411fa0a0608fac7e9e6e5f9234c50a2399eddc"},"schema_version":"1.0","source":{"id":"2109.09216","kind":"arxiv","version":1}},"canonical_sha256":"bd79e2bf765440d6049cccab8f97b5191ca7ceb0f41e86b71626309765e43016","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd79e2bf765440d6049cccab8f97b5191ca7ceb0f41e86b71626309765e43016","first_computed_at":"2026-07-05T03:15:43.044818Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:15:43.044818Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hne7YIy12egi42aK2ae/pEhtzXllnI1MNCpIv75yMn0FdTA5ZbweXAO+Y/DTIX2BC5t/awWNUzWe8SfMS9j1BQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:15:43.045349Z","signed_message":"canonical_sha256_bytes"},"source_id":"2109.09216","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d02e15b4d16ec5c2eeeecbb7470aa57ab6638d2ce22d520ff1e8c24d8d34a0c3","sha256:5afd9c8200f6fb4dd6fb3b9cf196acc65c4e732a552c5d369c46a06f8a4d389e"],"state_sha256":"62eb00840e873d0c921fe64fc866b75c9fdfc742b38142431164c444184e6396"}