{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:VBZFAVG4A6UNAOG6M2JCM3HXCJ","short_pith_number":"pith:VBZFAVG4","canonical_record":{"source":{"id":"0911.5529","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-11-30T01:52:35Z","cross_cats_sorted":[],"title_canon_sha256":"9b4f1be0a071f6f0b70dcbd87eef537e28c513807f41e2853e67070c3dedf36b","abstract_canon_sha256":"55a6e8d9a4e765aba2959650eac6c4659445d678575156c15d279d68c45493e4"},"schema_version":"1.0"},"canonical_sha256":"a8725054dc07a8d038de6692266cf7126af967361af05f031c48e72a56c49fd8","source":{"kind":"arxiv","id":"0911.5529","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.5529","created_at":"2026-05-18T02:10:35Z"},{"alias_kind":"arxiv_version","alias_value":"0911.5529v1","created_at":"2026-05-18T02:10:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.5529","created_at":"2026-05-18T02:10:35Z"},{"alias_kind":"pith_short_12","alias_value":"VBZFAVG4A6UN","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"VBZFAVG4A6UNAOG6","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"VBZFAVG4","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:VBZFAVG4A6UNAOG6M2JCM3HXCJ","target":"record","payload":{"canonical_record":{"source":{"id":"0911.5529","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-11-30T01:52:35Z","cross_cats_sorted":[],"title_canon_sha256":"9b4f1be0a071f6f0b70dcbd87eef537e28c513807f41e2853e67070c3dedf36b","abstract_canon_sha256":"55a6e8d9a4e765aba2959650eac6c4659445d678575156c15d279d68c45493e4"},"schema_version":"1.0"},"canonical_sha256":"a8725054dc07a8d038de6692266cf7126af967361af05f031c48e72a56c49fd8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:10:35.824284Z","signature_b64":"L2AF7MLnUI134q9PgLSZJounR7nzC7BIwMRBcMIUJg+FFNhOw8zB7x8Yv4goEupS7tckKVBnSARHgAHc0c1rAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8725054dc07a8d038de6692266cf7126af967361af05f031c48e72a56c49fd8","last_reissued_at":"2026-05-18T02:10:35.823659Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:10:35.823659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0911.5529","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:10:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XR8R6VjoahwdZik5F9vAJB657DfAzi0sp0+U9W/MsBjJA79u137vd724Je9mxH7ure9gu8Kvw2LK4vrqWvlOBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:09:30.298838Z"},"content_sha256":"887f2c113a24ba2933f122c23161030621dc1bfa28562331a255e0e29709c4bb","schema_version":"1.0","event_id":"sha256:887f2c113a24ba2933f122c23161030621dc1bfa28562331a255e0e29709c4bb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:VBZFAVG4A6UNAOG6M2JCM3HXCJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Factorization symmetry in lattice Boltzmann simulations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Ilya Karlin, Pietro Asinari, Shyam Chikatamarla","submitted_at":"2009-11-30T01:52:35Z","abstract_excerpt":"A non-perturbative algebraic theory of lattice Boltzmann method is developed based on a symmetry of a product. It involves three steps: (i) Derivation of admissible lattices in one spatial dimension through a matching condition which imposes restricted extension of higher-order Gaussian moments, (ii) Special quasi-equilibrium distribution function found analytically in closed form on the product-lattice in two and three spatial dimensions, and which proves factorization of quasi-equilibrium moments, and (iii) Algebraic method of pruning based on a one-into-one relation between groups of discre"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.5529","kind":"arxiv","version":1},"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":"2026-05-18T02:10:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OZIuISM0+1gxUy2QU01tFu8hqO/MbCP3lFFFBsut0BkDViEgkpQU5NamcYXOVjIEgy8/mJv5AgCaWPxHqdNvBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:09:30.299182Z"},"content_sha256":"624e3f828378e381c842129345e3da276d846402f7d0fe15cc5f59c7e8980a93","schema_version":"1.0","event_id":"sha256:624e3f828378e381c842129345e3da276d846402f7d0fe15cc5f59c7e8980a93"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VBZFAVG4A6UNAOG6M2JCM3HXCJ/bundle.json","state_url":"https://pith.science/pith/VBZFAVG4A6UNAOG6M2JCM3HXCJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VBZFAVG4A6UNAOG6M2JCM3HXCJ/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":"2026-05-31T20:09:30Z","links":{"resolver":"https://pith.science/pith/VBZFAVG4A6UNAOG6M2JCM3HXCJ","bundle":"https://pith.science/pith/VBZFAVG4A6UNAOG6M2JCM3HXCJ/bundle.json","state":"https://pith.science/pith/VBZFAVG4A6UNAOG6M2JCM3HXCJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VBZFAVG4A6UNAOG6M2JCM3HXCJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:VBZFAVG4A6UNAOG6M2JCM3HXCJ","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":"55a6e8d9a4e765aba2959650eac6c4659445d678575156c15d279d68c45493e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-11-30T01:52:35Z","title_canon_sha256":"9b4f1be0a071f6f0b70dcbd87eef537e28c513807f41e2853e67070c3dedf36b"},"schema_version":"1.0","source":{"id":"0911.5529","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.5529","created_at":"2026-05-18T02:10:35Z"},{"alias_kind":"arxiv_version","alias_value":"0911.5529v1","created_at":"2026-05-18T02:10:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.5529","created_at":"2026-05-18T02:10:35Z"},{"alias_kind":"pith_short_12","alias_value":"VBZFAVG4A6UN","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"VBZFAVG4A6UNAOG6","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"VBZFAVG4","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:624e3f828378e381c842129345e3da276d846402f7d0fe15cc5f59c7e8980a93","target":"graph","created_at":"2026-05-18T02:10:35Z","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 non-perturbative algebraic theory of lattice Boltzmann method is developed based on a symmetry of a product. It involves three steps: (i) Derivation of admissible lattices in one spatial dimension through a matching condition which imposes restricted extension of higher-order Gaussian moments, (ii) Special quasi-equilibrium distribution function found analytically in closed form on the product-lattice in two and three spatial dimensions, and which proves factorization of quasi-equilibrium moments, and (iii) Algebraic method of pruning based on a one-into-one relation between groups of discre","authors_text":"Ilya Karlin, Pietro Asinari, Shyam Chikatamarla","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-11-30T01:52:35Z","title":"Factorization symmetry in lattice Boltzmann simulations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.5529","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":"sha256:887f2c113a24ba2933f122c23161030621dc1bfa28562331a255e0e29709c4bb","target":"record","created_at":"2026-05-18T02:10:35Z","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":"55a6e8d9a4e765aba2959650eac6c4659445d678575156c15d279d68c45493e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-11-30T01:52:35Z","title_canon_sha256":"9b4f1be0a071f6f0b70dcbd87eef537e28c513807f41e2853e67070c3dedf36b"},"schema_version":"1.0","source":{"id":"0911.5529","kind":"arxiv","version":1}},"canonical_sha256":"a8725054dc07a8d038de6692266cf7126af967361af05f031c48e72a56c49fd8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8725054dc07a8d038de6692266cf7126af967361af05f031c48e72a56c49fd8","first_computed_at":"2026-05-18T02:10:35.823659Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:10:35.823659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L2AF7MLnUI134q9PgLSZJounR7nzC7BIwMRBcMIUJg+FFNhOw8zB7x8Yv4goEupS7tckKVBnSARHgAHc0c1rAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:10:35.824284Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.5529","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:887f2c113a24ba2933f122c23161030621dc1bfa28562331a255e0e29709c4bb","sha256:624e3f828378e381c842129345e3da276d846402f7d0fe15cc5f59c7e8980a93"],"state_sha256":"ab283fd4c601a86cd6b482f00b02a0388ab3084ce3c6b5c7900d648eeec198e9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mvSajnW2om1MjV+TXBToA7kMBpW37NwB8XnGcupdqn/6MA1E3KWOw5129FgVmIlZ1X6EMhuGG/Um9fttw9gABw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T20:09:30.301904Z","bundle_sha256":"e21e6f8c6184b4449a6355371968813f0319e6888aad5fb489c11976191c6fc0"}}