{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:2EM6G5Z4HDHMQMKDAGENXUUGIB","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":"0e6ef24ea47b34da7f4d17dcfc385662378ceaccb1f29e7744ef120fb11235cb","cross_cats_sorted":["hep-th","nucl-th","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-08-29T14:21:55Z","title_canon_sha256":"13fe854c1ca8c4da4e0a9944e1a6b0e5f33ecef8e554b6892d06977438d5a644"},"schema_version":"1.0","source":{"id":"1108.5561","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.5561","created_at":"2026-05-18T03:23:02Z"},{"alias_kind":"arxiv_version","alias_value":"1108.5561v2","created_at":"2026-05-18T03:23:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.5561","created_at":"2026-05-18T03:23:02Z"},{"alias_kind":"pith_short_12","alias_value":"2EM6G5Z4HDHM","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"2EM6G5Z4HDHMQMKD","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"2EM6G5Z4","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:145430db74d0f076435bcf7537caedf4553530fdc5dfce49742c292e28cf349a","target":"graph","created_at":"2026-05-18T03:23:02Z","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":"The relativistic Boltzmann equation for a single particle species generally implies a fixed, unchangeable equation of state that corresponds to that of an ideal gas. Real-world systems typically have more complicated equation of state which cannot be described by the Boltzmann equation. The present work derives a 'Boltzmann-like' equation that gives rise to a conserved energy-momentum tensor with an arbitrary (but thermodynamically consistent) equation of state. Using this, a Lattice Boltzmann scheme for diagonal metric tensors and arbitrary equations of state is constructed. The scheme is ver","authors_text":"Paul Romatschke","cross_cats":["hep-th","nucl-th","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-08-29T14:21:55Z","title":"Relativistic (Lattice) Boltzmann Equation with Non-Ideal Equation of State"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.5561","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:d74b4f3758f2711177451d604439e4ed3c8370dd42276209533b8ca7cbea8ad2","target":"record","created_at":"2026-05-18T03:23:02Z","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":"0e6ef24ea47b34da7f4d17dcfc385662378ceaccb1f29e7744ef120fb11235cb","cross_cats_sorted":["hep-th","nucl-th","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-08-29T14:21:55Z","title_canon_sha256":"13fe854c1ca8c4da4e0a9944e1a6b0e5f33ecef8e554b6892d06977438d5a644"},"schema_version":"1.0","source":{"id":"1108.5561","kind":"arxiv","version":2}},"canonical_sha256":"d119e3773c38cec831430188dbd286404e1b19d4ff8206fa144cf91c1cf70617","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d119e3773c38cec831430188dbd286404e1b19d4ff8206fa144cf91c1cf70617","first_computed_at":"2026-05-18T03:23:02.316308Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:23:02.316308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5OMb8e+UPDFNuS7sJ7IndV1KT7Ec+6U37zsX35mnOQ2bsUEooCMnwJEvNmGhrU11IjShqfX0KcrrTfoglqBDBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:23:02.316826Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.5561","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d74b4f3758f2711177451d604439e4ed3c8370dd42276209533b8ca7cbea8ad2","sha256:145430db74d0f076435bcf7537caedf4553530fdc5dfce49742c292e28cf349a"],"state_sha256":"ae5c748794e58041d981c127139733cc7cbfa2359d4190f0398f548d072ed990"}