{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:FYYXZL5OWWOAHRBKMCCM6MUT2A","short_pith_number":"pith:FYYXZL5O","canonical_record":{"source":{"id":"1108.4919","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2011-08-24T19:41:05Z","cross_cats_sorted":["physics.comp-ph","physics.flu-dyn"],"title_canon_sha256":"3dd30d52eb555c87046fe85c9a7a4659a54d0caca50366a4bb5f5ec1ea9f65d7","abstract_canon_sha256":"36f50983d7c7237d2f15ca6345ba1a4401e7e0a828827aa497f46f9f47cef1cd"},"schema_version":"1.0"},"canonical_sha256":"2e317cafaeb59c03c42a6084cf3293d033f7dd5fe5d182b08b19847ec235c8b3","source":{"kind":"arxiv","id":"1108.4919","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.4919","created_at":"2026-05-18T03:45:31Z"},{"alias_kind":"arxiv_version","alias_value":"1108.4919v2","created_at":"2026-05-18T03:45:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4919","created_at":"2026-05-18T03:45:31Z"},{"alias_kind":"pith_short_12","alias_value":"FYYXZL5OWWOA","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FYYXZL5OWWOAHRBK","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FYYXZL5O","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:FYYXZL5OWWOAHRBKMCCM6MUT2A","target":"record","payload":{"canonical_record":{"source":{"id":"1108.4919","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2011-08-24T19:41:05Z","cross_cats_sorted":["physics.comp-ph","physics.flu-dyn"],"title_canon_sha256":"3dd30d52eb555c87046fe85c9a7a4659a54d0caca50366a4bb5f5ec1ea9f65d7","abstract_canon_sha256":"36f50983d7c7237d2f15ca6345ba1a4401e7e0a828827aa497f46f9f47cef1cd"},"schema_version":"1.0"},"canonical_sha256":"2e317cafaeb59c03c42a6084cf3293d033f7dd5fe5d182b08b19847ec235c8b3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:45:31.954057Z","signature_b64":"TTNikGK15l5qH32YIPKcD0GqQ+ckNbUJbWyqFDZlw5wu/4Bgmn36LVAfe8gWEAo27twkRKVFXXkqGH2NgZj8Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e317cafaeb59c03c42a6084cf3293d033f7dd5fe5d182b08b19847ec235c8b3","last_reissued_at":"2026-05-18T03:45:31.953606Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:45:31.953606Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.4919","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":"2026-05-18T03:45:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1ex5pSlCJ+QaTY6XXBeZC5ilHSOS979sI8wA8zAjh7Iff7eEKceCb6Hhv67muDvP07zyM1OsVV42avn8g56BCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T11:54:47.265826Z"},"content_sha256":"61f4ee3900da0cebe6471f302c58b9a830d782172fca3c985281ae8d929ec030","schema_version":"1.0","event_id":"sha256:61f4ee3900da0cebe6471f302c58b9a830d782172fca3c985281ae8d929ec030"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:FYYXZL5OWWOAHRBKMCCM6MUT2A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Numerical extraction of a macroscopic pde and a lifting operator from a lattice Boltzmann model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph","physics.flu-dyn"],"primary_cat":"cs.CE","authors_text":"Wim Vanroose, Ynte Vanderhoydonc","submitted_at":"2011-08-24T19:41:05Z","abstract_excerpt":"Lifting operators play an important role in starting a lattice Boltzmann model from a given initial density. The density, a macroscopic variable, needs to be mapped to the distribution functions, mesoscopic variables, of the lattice Boltzmann model. Several methods proposed as lifting operators have been tested and discussed in the literature. The most famous methods are an analytically found lifting operator, like the Chapman-Enskog expansion, and a numerical method, like the Constrained Runs algorithm, to arrive at an implicit expression for the unknown distribution functions with the help o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4919","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":"2026-05-18T03:45:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wom4Rm/SvzPRfDxqzv2X5LC5mH0RlDwgId8jy+M8pG6bqgVV2ojjnsafiP6u2cPfebAT2i3D5lv647hvouAzAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T11:54:47.266185Z"},"content_sha256":"01392a2c39ca55634f16dc97cca94333cb55eabcfee1a9c5b54258e4bd43dfab","schema_version":"1.0","event_id":"sha256:01392a2c39ca55634f16dc97cca94333cb55eabcfee1a9c5b54258e4bd43dfab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FYYXZL5OWWOAHRBKMCCM6MUT2A/bundle.json","state_url":"https://pith.science/pith/FYYXZL5OWWOAHRBKMCCM6MUT2A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FYYXZL5OWWOAHRBKMCCM6MUT2A/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":"2026-05-27T11:54:47Z","links":{"resolver":"https://pith.science/pith/FYYXZL5OWWOAHRBKMCCM6MUT2A","bundle":"https://pith.science/pith/FYYXZL5OWWOAHRBKMCCM6MUT2A/bundle.json","state":"https://pith.science/pith/FYYXZL5OWWOAHRBKMCCM6MUT2A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FYYXZL5OWWOAHRBKMCCM6MUT2A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:FYYXZL5OWWOAHRBKMCCM6MUT2A","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":"36f50983d7c7237d2f15ca6345ba1a4401e7e0a828827aa497f46f9f47cef1cd","cross_cats_sorted":["physics.comp-ph","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2011-08-24T19:41:05Z","title_canon_sha256":"3dd30d52eb555c87046fe85c9a7a4659a54d0caca50366a4bb5f5ec1ea9f65d7"},"schema_version":"1.0","source":{"id":"1108.4919","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.4919","created_at":"2026-05-18T03:45:31Z"},{"alias_kind":"arxiv_version","alias_value":"1108.4919v2","created_at":"2026-05-18T03:45:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4919","created_at":"2026-05-18T03:45:31Z"},{"alias_kind":"pith_short_12","alias_value":"FYYXZL5OWWOA","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FYYXZL5OWWOAHRBK","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FYYXZL5O","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:01392a2c39ca55634f16dc97cca94333cb55eabcfee1a9c5b54258e4bd43dfab","target":"graph","created_at":"2026-05-18T03:45:31Z","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":"Lifting operators play an important role in starting a lattice Boltzmann model from a given initial density. The density, a macroscopic variable, needs to be mapped to the distribution functions, mesoscopic variables, of the lattice Boltzmann model. Several methods proposed as lifting operators have been tested and discussed in the literature. The most famous methods are an analytically found lifting operator, like the Chapman-Enskog expansion, and a numerical method, like the Constrained Runs algorithm, to arrive at an implicit expression for the unknown distribution functions with the help o","authors_text":"Wim Vanroose, Ynte Vanderhoydonc","cross_cats":["physics.comp-ph","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2011-08-24T19:41:05Z","title":"Numerical extraction of a macroscopic pde and a lifting operator from a lattice Boltzmann model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4919","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":"sha256:61f4ee3900da0cebe6471f302c58b9a830d782172fca3c985281ae8d929ec030","target":"record","created_at":"2026-05-18T03:45:31Z","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":"36f50983d7c7237d2f15ca6345ba1a4401e7e0a828827aa497f46f9f47cef1cd","cross_cats_sorted":["physics.comp-ph","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2011-08-24T19:41:05Z","title_canon_sha256":"3dd30d52eb555c87046fe85c9a7a4659a54d0caca50366a4bb5f5ec1ea9f65d7"},"schema_version":"1.0","source":{"id":"1108.4919","kind":"arxiv","version":2}},"canonical_sha256":"2e317cafaeb59c03c42a6084cf3293d033f7dd5fe5d182b08b19847ec235c8b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e317cafaeb59c03c42a6084cf3293d033f7dd5fe5d182b08b19847ec235c8b3","first_computed_at":"2026-05-18T03:45:31.953606Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:31.953606Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TTNikGK15l5qH32YIPKcD0GqQ+ckNbUJbWyqFDZlw5wu/4Bgmn36LVAfe8gWEAo27twkRKVFXXkqGH2NgZj8Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:31.954057Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.4919","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:61f4ee3900da0cebe6471f302c58b9a830d782172fca3c985281ae8d929ec030","sha256:01392a2c39ca55634f16dc97cca94333cb55eabcfee1a9c5b54258e4bd43dfab"],"state_sha256":"ee5113132804c6703880a1ef8a7ea08acd109d1a53e60e2e4335736869510c2c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qCr6GfBp9eZZXFUY0anwMdR2d1k6rgvXDS75ZnqfAxO/CjulO4xd0wtcJDOkCYPqx3dpJfL8BVx2WDaemN9MDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T11:54:47.269925Z","bundle_sha256":"c5d3e217b89e142124263cc9cbb9250da2f1cd3b2db6379449d3aa3bb0e237bd"}}