{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:CHEW5JH653JHVJ3GOS3VJCRQAV","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":"38ba09834ef4a194391cd9a01cabddbd58f323d16cd0e89881a6eba47df63a36","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-08-10T14:49:34Z","title_canon_sha256":"d58e5f3a999bbef98e8937b1501b291efe43fa4f082b17d3a8857e0728547968"},"schema_version":"1.0","source":{"id":"2608.09675","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.09675","created_at":"2026-08-11T02:24:47Z"},{"alias_kind":"arxiv_version","alias_value":"2608.09675v1","created_at":"2026-08-11T02:24:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.09675","created_at":"2026-08-11T02:24:47Z"},{"alias_kind":"pith_short_12","alias_value":"CHEW5JH653JH","created_at":"2026-08-11T02:24:47Z"},{"alias_kind":"pith_short_16","alias_value":"CHEW5JH653JHVJ3G","created_at":"2026-08-11T02:24:47Z"},{"alias_kind":"pith_short_8","alias_value":"CHEW5JH6","created_at":"2026-08-11T02:24:47Z"}],"graph_snapshots":[{"event_id":"sha256:28add85da95492550065eff490ccaec8a4a2f76daa42211c24593057d971d1a7","target":"graph","created_at":"2026-08-11T02:24:47Z","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/2608.09675/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantum algorithms for nonlinear partial differential equations remain challenging because nonlinear dynamics are not directly amenable to unitary quantum simulation. Building on the level-set formulation, we construct a quantum algorithm and provide an explicit gate-level implementation for solving scalar conservation laws. The nonlinear equation is first lifted to a linear Liouville equation, discretized by finite differences, and then embedded into a unitary evolution through Schr\\\"odingerisation. We further develop quantum procedures for estimating relevant observables from the evolved sta","authors_text":"Junpeng Hu, Kezhen Wang, Lei Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-08-10T14:49:34Z","title":"An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.09675","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":"sha256:9493183b45342ca078388d6e4d7dcf02991e5b5b03d8014dc237f393e2bc0264","target":"record","created_at":"2026-08-11T02:24:47Z","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":"38ba09834ef4a194391cd9a01cabddbd58f323d16cd0e89881a6eba47df63a36","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-08-10T14:49:34Z","title_canon_sha256":"d58e5f3a999bbef98e8937b1501b291efe43fa4f082b17d3a8857e0728547968"},"schema_version":"1.0","source":{"id":"2608.09675","kind":"arxiv","version":1}},"canonical_sha256":"11c96ea4feeed27aa76674b7548a30057a03c01acef565d0cba79abf65e2d851","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"11c96ea4feeed27aa76674b7548a30057a03c01acef565d0cba79abf65e2d851","first_computed_at":"2026-08-11T02:24:47.604885Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-11T02:24:47.604885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HqBhZTmaeRk8ofgAf6BENWZAUmFB0QzE2LdjZnoBQboLMKlV+ka/D+ndU6PxOfKT5t5zfRiPNM4nwdBBE0s1Ag==","signature_status":"signed_v1","signed_at":"2026-08-11T02:24:47.606578Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.09675","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9493183b45342ca078388d6e4d7dcf02991e5b5b03d8014dc237f393e2bc0264","sha256:28add85da95492550065eff490ccaec8a4a2f76daa42211c24593057d971d1a7"],"state_sha256":"c5c16d40d4db4f62e8d5b2363691d01265f6ef9750a43f353a63baf69e603541"}