{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:HI434ZJWDVI3PRZC44XMDPETJZ","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":"8b1fc7f2b5dc2c88bccda526a6bed9a97ba7fb96022436c51126b5f9f1eecbcf","cross_cats_sorted":["cs.CE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2019-02-08T10:04:37Z","title_canon_sha256":"227c292607b702ec9ea459649d6328581d045172232ba9fe9562f823c1053556"},"schema_version":"1.0","source":{"id":"1902.02999","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.02999","created_at":"2026-05-17T23:54:28Z"},{"alias_kind":"arxiv_version","alias_value":"1902.02999v1","created_at":"2026-05-17T23:54:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.02999","created_at":"2026-05-17T23:54:28Z"},{"alias_kind":"pith_short_12","alias_value":"HI434ZJWDVI3","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"HI434ZJWDVI3PRZC","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"HI434ZJW","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:2f34ba0542e9217a33a0bcaa2f3564729b7a5f416fc0465367bb5a385ceda5d2","target":"graph","created_at":"2026-05-17T23:54:28Z","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"},"paper":{"abstract_excerpt":"It is well known that there are two integral steps of streaming and collision in the lattice Boltzmann method (LBM). This concept has been changed by the author's recently proposed macroscopic lattice Boltzmann method (MacLAB) to solve the Navier-Stokes equations for fluid flows. The MacLAB contains streaming step only and relies on one fundamental parameter of lattice size dx, which leads to a revolutionary and precise minimal \"Lattice\" Boltzmann method, where physical variables such as velocity and density can be retained as boundary conditions with less required storage for more accurate an","authors_text":"Jian Guo Zhou","cross_cats":["cs.CE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2019-02-08T10:04:37Z","title":"Macroscopic Lattice Boltzmann Method for Shallow Water Equations (MacLABSWE)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.02999","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:c9ed336ef94539456121b3c6289f97a33ed2da75c0d1e0800972813a9ca92830","target":"record","created_at":"2026-05-17T23:54:28Z","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":"8b1fc7f2b5dc2c88bccda526a6bed9a97ba7fb96022436c51126b5f9f1eecbcf","cross_cats_sorted":["cs.CE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2019-02-08T10:04:37Z","title_canon_sha256":"227c292607b702ec9ea459649d6328581d045172232ba9fe9562f823c1053556"},"schema_version":"1.0","source":{"id":"1902.02999","kind":"arxiv","version":1}},"canonical_sha256":"3a39be65361d51b7c722e72ec1bc934e5d7af9f6f2574455a15ddbb8e2859abf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a39be65361d51b7c722e72ec1bc934e5d7af9f6f2574455a15ddbb8e2859abf","first_computed_at":"2026-05-17T23:54:28.628237Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:28.628237Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FMnjMKoaX9pv6TZXCLtnIWIVrQjU8ts2Lx0/Q6HeYDJr6tVDL+UEissDjxSP6XgSDcYPwO4pW9DpynDAik2pBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:28.628933Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.02999","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c9ed336ef94539456121b3c6289f97a33ed2da75c0d1e0800972813a9ca92830","sha256:2f34ba0542e9217a33a0bcaa2f3564729b7a5f416fc0465367bb5a385ceda5d2"],"state_sha256":"7d02e2c4920e65411db5369bb9fb1081497bc7386ec584e624ef8752a1c84a34"}