{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:DDLZ2BD7NNJB5AR3POK2E6VRUX","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":"d1455c74e3c52da9be09fc5065aa0a27458a2a1bd067fc5037cb863568b8c05e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-07-10T03:31:48Z","title_canon_sha256":"f57c5e6a1062e1ebe4537f4077f54981601d9c67d835766973f35e49cc651109"},"schema_version":"1.0","source":{"id":"2607.09071","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.09071","created_at":"2026-07-13T00:17:39Z"},{"alias_kind":"arxiv_version","alias_value":"2607.09071v1","created_at":"2026-07-13T00:17:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.09071","created_at":"2026-07-13T00:17:39Z"},{"alias_kind":"pith_short_12","alias_value":"DDLZ2BD7NNJB","created_at":"2026-07-13T00:17:39Z"},{"alias_kind":"pith_short_16","alias_value":"DDLZ2BD7NNJB5AR3","created_at":"2026-07-13T00:17:39Z"},{"alias_kind":"pith_short_8","alias_value":"DDLZ2BD7","created_at":"2026-07-13T00:17:39Z"}],"graph_snapshots":[{"event_id":"sha256:3e67b88e6cf563c1d59f1fc776be2554103c01e3f69d07f9b253c1b28edaa120","target":"graph","created_at":"2026-07-13T00:17:39Z","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/2607.09071/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Multiscale fluid flows often contain localized flow structures, such as viscous shock layers, wet-dry fronts, steady viscous wakes, decaying vortical structures, and vortex-shedding patterns, whose accurate prediction requires the simultaneous preservation of global conservation trends and small-scale gradients. This study examines these flow-physics requirements through a physics-informed wavelet-Fourier (PIWF) representation for multiscale fluid dynamics. Instead of relying on a single monolithic neural approximator, the formulation separates two complementary components of the flow field wi","authors_text":"Chao Wang, Chenyue Xie, Chunyu Guo, Shilong Li, Tianbai Xiao, Yunpeng Wang, Zelong Yuan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-07-10T03:31:48Z","title":"Physics informed wavelet Fourier representation for multiscale fluid dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.09071","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:e89ed521d544519a391622261f856044416fd937c4637508575bc1e2114fc03a","target":"record","created_at":"2026-07-13T00:17:39Z","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":"d1455c74e3c52da9be09fc5065aa0a27458a2a1bd067fc5037cb863568b8c05e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-07-10T03:31:48Z","title_canon_sha256":"f57c5e6a1062e1ebe4537f4077f54981601d9c67d835766973f35e49cc651109"},"schema_version":"1.0","source":{"id":"2607.09071","kind":"arxiv","version":1}},"canonical_sha256":"18d79d047f6b521e823b7b95a27ab1a5d06b5b54dc34b5795451a0f94e29caf7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"18d79d047f6b521e823b7b95a27ab1a5d06b5b54dc34b5795451a0f94e29caf7","first_computed_at":"2026-07-13T00:17:39.537020Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-13T00:17:39.537020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gNVJd+0avk5WgFM+LRCcXwjwemtHeco+1i7rgv396sbX7kXAchiHnSGDo61fx4VJgUWLoC9XU4KPBSM6HRgFBw==","signature_status":"signed_v1","signed_at":"2026-07-13T00:17:39.538343Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.09071","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e89ed521d544519a391622261f856044416fd937c4637508575bc1e2114fc03a","sha256:3e67b88e6cf563c1d59f1fc776be2554103c01e3f69d07f9b253c1b28edaa120"],"state_sha256":"be737db153787debbe266e2ebe59138bf5e8c57c56290cb6afc9997e750af1c4"}