{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:JO3GORBLUTQ4ZQCOB2V2M4JIHP","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":"dd528989090bb6952a2eddc6f078c13058b2bb678a2ca6b58e6edba435d22a62","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-08-25T02:19:17Z","title_canon_sha256":"182c913d9bb08bb5d6128b40669d1345bd5fb10ed081f101c35f2c371dc19739"},"schema_version":"1.0","source":{"id":"2508.17606","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.17606","created_at":"2026-07-05T11:58:44Z"},{"alias_kind":"arxiv_version","alias_value":"2508.17606v1","created_at":"2026-07-05T11:58:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.17606","created_at":"2026-07-05T11:58:44Z"},{"alias_kind":"pith_short_12","alias_value":"JO3GORBLUTQ4","created_at":"2026-07-05T11:58:44Z"},{"alias_kind":"pith_short_16","alias_value":"JO3GORBLUTQ4ZQCO","created_at":"2026-07-05T11:58:44Z"},{"alias_kind":"pith_short_8","alias_value":"JO3GORBL","created_at":"2026-07-05T11:58:44Z"}],"graph_snapshots":[{"event_id":"sha256:ce4c8b2ac54987dee35b6521bb3ba71e8764c36f4d9bb107baa56c3f6dfab20c","target":"graph","created_at":"2026-07-05T11:58:44Z","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/2508.17606/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The variational principle serves as a fundamental framework for describing equilibrium states of physical systems via the minimization or extremization of an energy-like functional. While quantum algorithms have demonstrated promising advances in efficiently solving linear problems rooted in this principle, extending these techniques to nonlinear equilibrium equations--ubiquitous in structural mechanics, fluid dynamics, and electromagnetism--remains an outstanding challenge. Here, we introduce a novel algorithm tailored for fault-tolerant quantum computers (FTQCs) that directly addresses nonli","authors_text":"Katsuhiro Endo, Kazuaki Z. Takahashi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-08-25T02:19:17Z","title":"Quantum-Accelerated Solution of Nonlinear Equations from Variational Principles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.17606","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":"sha256:7fbb2f5824a1377ebb3c837390fe091b9a737095beb44bd4c101aae686a4ddc8","target":"record","created_at":"2026-07-05T11:58:44Z","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":"dd528989090bb6952a2eddc6f078c13058b2bb678a2ca6b58e6edba435d22a62","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-08-25T02:19:17Z","title_canon_sha256":"182c913d9bb08bb5d6128b40669d1345bd5fb10ed081f101c35f2c371dc19739"},"schema_version":"1.0","source":{"id":"2508.17606","kind":"arxiv","version":1}},"canonical_sha256":"4bb667442ba4e1ccc04e0eaba671283bc7c66678b4d99657f57204f29d7080c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4bb667442ba4e1ccc04e0eaba671283bc7c66678b4d99657f57204f29d7080c0","first_computed_at":"2026-07-05T11:58:44.434053Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:58:44.434053Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Vg6U2mNOKeqGGYj6534HX4+AqFVgaW2dc4t6IOxiXgGoHsSKNXxHdMGQoBSavXVQJezNAa7sKdfFVFZG9AdEDg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:58:44.434524Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.17606","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7fbb2f5824a1377ebb3c837390fe091b9a737095beb44bd4c101aae686a4ddc8","sha256:ce4c8b2ac54987dee35b6521bb3ba71e8764c36f4d9bb107baa56c3f6dfab20c"],"state_sha256":"4a4b3d8723cbf788dcc30e51e9e9a95dcb7974fbc0e0a48752d3307962421b1b"}