{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:OYCT5N2Q4OSMWXPFLPZXAGPEWI","short_pith_number":"pith:OYCT5N2Q","canonical_record":{"source":{"id":"1706.01094","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2017-06-04T15:42:19Z","cross_cats_sorted":[],"title_canon_sha256":"43ac8cb9c765b3a02373e9b33c03385ab17d6de68b7749b8fd57fae57205ef90","abstract_canon_sha256":"47c4bb1ec4436a3a1c35ba2af30b8ac7a5340dafb5051d88e7b293d819cfb3da"},"schema_version":"1.0"},"canonical_sha256":"76053eb750e3a4cb5de55bf37019e4b20fe1c5e424758ee766faa7d953b28b93","source":{"kind":"arxiv","id":"1706.01094","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.01094","created_at":"2026-05-18T00:22:29Z"},{"alias_kind":"arxiv_version","alias_value":"1706.01094v2","created_at":"2026-05-18T00:22:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.01094","created_at":"2026-05-18T00:22:29Z"},{"alias_kind":"pith_short_12","alias_value":"OYCT5N2Q4OSM","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OYCT5N2Q4OSMWXPF","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OYCT5N2Q","created_at":"2026-05-18T12:31:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:OYCT5N2Q4OSMWXPFLPZXAGPEWI","target":"record","payload":{"canonical_record":{"source":{"id":"1706.01094","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2017-06-04T15:42:19Z","cross_cats_sorted":[],"title_canon_sha256":"43ac8cb9c765b3a02373e9b33c03385ab17d6de68b7749b8fd57fae57205ef90","abstract_canon_sha256":"47c4bb1ec4436a3a1c35ba2af30b8ac7a5340dafb5051d88e7b293d819cfb3da"},"schema_version":"1.0"},"canonical_sha256":"76053eb750e3a4cb5de55bf37019e4b20fe1c5e424758ee766faa7d953b28b93","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:29.165781Z","signature_b64":"cchZpInGuOChh+mTOszkCkU1I52F4Lsz4pc/LFg3/trp3JhE4QXNAZqciQPA6AEr9NOL6X97JrtCiqWV9XVpAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"76053eb750e3a4cb5de55bf37019e4b20fe1c5e424758ee766faa7d953b28b93","last_reissued_at":"2026-05-18T00:22:29.165240Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:29.165240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.01094","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:22:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oAZaJxkAoywZmDfK9w8PaTOVazb/Oir2PFHr8957Msl3FCbtgYPleMWazjh7uKLYsQnb6CzoxnSEG+ZT7LbnBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:00:09.290078Z"},"content_sha256":"28358a0b546450c1bfce6f5db6f0923deace7f904ab6f790ce2d0e9d55a9ba08","schema_version":"1.0","event_id":"sha256:28358a0b546450c1bfce6f5db6f0923deace7f904ab6f790ce2d0e9d55a9ba08"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:OYCT5N2Q4OSMWXPFLPZXAGPEWI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Integer Lattice Gas with Monte Carlo collision operator recovers the entropic lattice Boltzmann method with Poisson distributed fluctuations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"Alexander J. Wagner, Thomas Blommel","submitted_at":"2017-06-04T15:42:19Z","abstract_excerpt":"We are examining a new kind of lattice gas that closely resembles modern lattice Boltzmann methods. This new kind of lattice gas, that we call a Monte Carlo Lattice Gas, has interesting properties that shed light on the origin of the multi-relaxation time collision operator and it derives the equilibrium distribution for entropic lattice Boltzmann. Furthermore these lattice gas methods have Galilean invariant fluctuations given by a Poisson statistics, giving further insight into the properties that we should expect for fluctuating lattice Boltzmann methods."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.01094","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:22:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HLJj9uRv5HcNXP2R8+Jwoe6TI8q0LHq2dNMf6VDvoA9pDOm78PlaUclfNo8M4QEA7DM1ndZ2P6Ctxb4AgnYZAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:00:09.290438Z"},"content_sha256":"976eeaaf074c54230a893544e79ccddc3e0c38217b53f4d9542b45cf3762021f","schema_version":"1.0","event_id":"sha256:976eeaaf074c54230a893544e79ccddc3e0c38217b53f4d9542b45cf3762021f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OYCT5N2Q4OSMWXPFLPZXAGPEWI/bundle.json","state_url":"https://pith.science/pith/OYCT5N2Q4OSMWXPFLPZXAGPEWI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OYCT5N2Q4OSMWXPFLPZXAGPEWI/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T19:00:09Z","links":{"resolver":"https://pith.science/pith/OYCT5N2Q4OSMWXPFLPZXAGPEWI","bundle":"https://pith.science/pith/OYCT5N2Q4OSMWXPFLPZXAGPEWI/bundle.json","state":"https://pith.science/pith/OYCT5N2Q4OSMWXPFLPZXAGPEWI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OYCT5N2Q4OSMWXPFLPZXAGPEWI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OYCT5N2Q4OSMWXPFLPZXAGPEWI","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":"47c4bb1ec4436a3a1c35ba2af30b8ac7a5340dafb5051d88e7b293d819cfb3da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2017-06-04T15:42:19Z","title_canon_sha256":"43ac8cb9c765b3a02373e9b33c03385ab17d6de68b7749b8fd57fae57205ef90"},"schema_version":"1.0","source":{"id":"1706.01094","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.01094","created_at":"2026-05-18T00:22:29Z"},{"alias_kind":"arxiv_version","alias_value":"1706.01094v2","created_at":"2026-05-18T00:22:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.01094","created_at":"2026-05-18T00:22:29Z"},{"alias_kind":"pith_short_12","alias_value":"OYCT5N2Q4OSM","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OYCT5N2Q4OSMWXPF","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OYCT5N2Q","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:976eeaaf074c54230a893544e79ccddc3e0c38217b53f4d9542b45cf3762021f","target":"graph","created_at":"2026-05-18T00:22:29Z","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":"We are examining a new kind of lattice gas that closely resembles modern lattice Boltzmann methods. This new kind of lattice gas, that we call a Monte Carlo Lattice Gas, has interesting properties that shed light on the origin of the multi-relaxation time collision operator and it derives the equilibrium distribution for entropic lattice Boltzmann. Furthermore these lattice gas methods have Galilean invariant fluctuations given by a Poisson statistics, giving further insight into the properties that we should expect for fluctuating lattice Boltzmann methods.","authors_text":"Alexander J. Wagner, Thomas Blommel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2017-06-04T15:42:19Z","title":"Integer Lattice Gas with Monte Carlo collision operator recovers the entropic lattice Boltzmann method with Poisson distributed fluctuations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.01094","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":"sha256:28358a0b546450c1bfce6f5db6f0923deace7f904ab6f790ce2d0e9d55a9ba08","target":"record","created_at":"2026-05-18T00:22:29Z","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":"47c4bb1ec4436a3a1c35ba2af30b8ac7a5340dafb5051d88e7b293d819cfb3da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2017-06-04T15:42:19Z","title_canon_sha256":"43ac8cb9c765b3a02373e9b33c03385ab17d6de68b7749b8fd57fae57205ef90"},"schema_version":"1.0","source":{"id":"1706.01094","kind":"arxiv","version":2}},"canonical_sha256":"76053eb750e3a4cb5de55bf37019e4b20fe1c5e424758ee766faa7d953b28b93","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"76053eb750e3a4cb5de55bf37019e4b20fe1c5e424758ee766faa7d953b28b93","first_computed_at":"2026-05-18T00:22:29.165240Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:29.165240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cchZpInGuOChh+mTOszkCkU1I52F4Lsz4pc/LFg3/trp3JhE4QXNAZqciQPA6AEr9NOL6X97JrtCiqWV9XVpAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:29.165781Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.01094","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28358a0b546450c1bfce6f5db6f0923deace7f904ab6f790ce2d0e9d55a9ba08","sha256:976eeaaf074c54230a893544e79ccddc3e0c38217b53f4d9542b45cf3762021f"],"state_sha256":"222471cd7d57646337d2a4f859825a45c9861b105545c274ef0a6a6f3c165494"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IBuOGslT+NxWgE9UgFeKyK/5X8fo5ycTzaFGvCsOmc5cRLOl560AWQ5R1vh2YLL+wH+ACFj5ZF9nA3mBHMNyAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T19:00:09.292304Z","bundle_sha256":"d7fa572ea5a5d621813c3c76a173b248a3773c1357dca8a7fc83ceaa10db664e"}}