{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TJHC75I5Y5VGVAVBI3MR744ZPI","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":"b00479ec833b476bb120fc736ff6c5cef52410b52cd2ac4690b841bb22426b79","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2017-10-30T22:12:49Z","title_canon_sha256":"470420d455ffa0ce693c7986d0c0a10045973fd6260f1650a62eb7885bb012b9"},"schema_version":"1.0","source":{"id":"1710.11261","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.11261","created_at":"2026-05-18T00:25:39Z"},{"alias_kind":"arxiv_version","alias_value":"1710.11261v2","created_at":"2026-05-18T00:25:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.11261","created_at":"2026-05-18T00:25:39Z"},{"alias_kind":"pith_short_12","alias_value":"TJHC75I5Y5VG","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TJHC75I5Y5VGVAVB","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TJHC75I5","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:5636f1590180d2ab7e86e972b91f6f0fb8a43c8b0e137eb14a7cb4422b63167d","target":"graph","created_at":"2026-05-18T00:25:39Z","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"},"paper":{"abstract_excerpt":"A expansion to fourth-order for lattice Boltzmann methods is presented. This expansion provides an easy model for finding fourth-order corrections to lattice Boltzmann methods for various physical systems. The fourth-order terms can give rise to improved results over traditional second-order lattice Boltzmann implementations. Although, this manuscript solely deals with fourth-order expansions, this expansion is easily extended to arbitrary order. We present examples of how this expansion is utilized and provide basic analysis to show how the fourth-order methods differ from lower order models ","authors_text":"Kyle Strand","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2017-10-30T22:12:49Z","title":"Moment Independent Expansion for Fourth-Order Corrections in Lattice Boltzmann Methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.11261","kind":"arxiv","version":2},"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":"sha256:4ea41716713807131ba96dd1e25fb1bfb77e60fa7ef2a9f6698385ccd7fa1aeb","target":"record","created_at":"2026-05-18T00:25:39Z","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":"b00479ec833b476bb120fc736ff6c5cef52410b52cd2ac4690b841bb22426b79","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2017-10-30T22:12:49Z","title_canon_sha256":"470420d455ffa0ce693c7986d0c0a10045973fd6260f1650a62eb7885bb012b9"},"schema_version":"1.0","source":{"id":"1710.11261","kind":"arxiv","version":2}},"canonical_sha256":"9a4e2ff51dc76a6a82a146d91ff3997a2c2036b152fb77ffa01c6cdb8191b222","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9a4e2ff51dc76a6a82a146d91ff3997a2c2036b152fb77ffa01c6cdb8191b222","first_computed_at":"2026-05-18T00:25:39.012202Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:39.012202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mdYRPrJOzm9zASsmaH4R39s+fsPULHAATGzVusfAC3TmsTTh1l4SnumyEa5JsRR8VdJipUoqjQ5qXcg+blfmDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:39.012908Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.11261","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ea41716713807131ba96dd1e25fb1bfb77e60fa7ef2a9f6698385ccd7fa1aeb","sha256:5636f1590180d2ab7e86e972b91f6f0fb8a43c8b0e137eb14a7cb4422b63167d"],"state_sha256":"655c745ba939866b0713f75b7ff896090d7d37de4e93abfd172c30c781d6978e"}