{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:HA37VUZMZNC2UTMCVKYKWMLRJP","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":"d35263e43923ac7819559c30374ca42949690d859362447c916df56a3999d4b9","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2015-10-26T00:03:33Z","title_canon_sha256":"006bb7a22fafd096583d29c8d1fa1557b0e9aa0b88c946758b06fb627a7f3f09"},"schema_version":"1.0","source":{"id":"1510.07328","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.07328","created_at":"2026-05-18T00:48:54Z"},{"alias_kind":"arxiv_version","alias_value":"1510.07328v2","created_at":"2026-05-18T00:48:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.07328","created_at":"2026-05-18T00:48:54Z"},{"alias_kind":"pith_short_12","alias_value":"HA37VUZMZNC2","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"HA37VUZMZNC2UTMC","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"HA37VUZM","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:0ab8eed16ef1dd1b14d4969dacfe2cecc1a7a8cbf7c4609c4cbb203397143770","target":"graph","created_at":"2026-05-18T00:48:54Z","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 lattice Boltzmann method is proposed based on the expansion of the equilibrium distribution function in powers of a new set of generalized orthonormal polynomials which are here presented. The new polynomials are orthonormal under the weight defined by the equilibrium distribution function itself. The D-dimensional Hermite polynomials is a sub-case of the present ones, associated to the particular weight of a gaussian function. The proposed lattice Boltzmann method allows for the treatment of semi-classical fluids, such as electrons in metals under the Drude-Sommerfeld model, which is a part","authors_text":"Anderson Ilha, Mauro M. Doria, Rodrigo C. V. Coelho","cross_cats":["physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2015-10-26T00:03:33Z","title":"A lattice Boltzmann method based on generalized polynomials and its application for electrons in metals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.07328","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":"sha256:27638c22d7385a7cc356a69171cd7a6d580a60518858a085dfb3737b622264f9","target":"record","created_at":"2026-05-18T00:48:54Z","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":"d35263e43923ac7819559c30374ca42949690d859362447c916df56a3999d4b9","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2015-10-26T00:03:33Z","title_canon_sha256":"006bb7a22fafd096583d29c8d1fa1557b0e9aa0b88c946758b06fb627a7f3f09"},"schema_version":"1.0","source":{"id":"1510.07328","kind":"arxiv","version":2}},"canonical_sha256":"3837fad32ccb45aa4d82aab0ab31714bdd209767d1174158effb533f79029bd1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3837fad32ccb45aa4d82aab0ab31714bdd209767d1174158effb533f79029bd1","first_computed_at":"2026-05-18T00:48:54.881049Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:54.881049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rtqQwrwepMye/tgqtDquBleu1JPX/dUULNjJREL5sBGRC5pYqmgkJbKRArKhz2azTmiZCqXoqpOTVtiybEY/Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:54.881768Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.07328","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27638c22d7385a7cc356a69171cd7a6d580a60518858a085dfb3737b622264f9","sha256:0ab8eed16ef1dd1b14d4969dacfe2cecc1a7a8cbf7c4609c4cbb203397143770"],"state_sha256":"f7ec94a9d674e7b95df67e5219a6e1ca637d385c3c27a390c4a638e340eaff0b"}