{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:IBHKANYAS2QFHVKQ3PN65B5OAN","short_pith_number":"pith:IBHKANYA","schema_version":"1.0","canonical_sha256":"404ea0370096a053d550dbdbee87ae035078f5eb5a473c0bb752d4ca970b2648","source":{"kind":"arxiv","id":"1212.1033","version":3},"attestation_state":"computed","paper":{"title":"Temporal Integrators for Fluctuating Hydrodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"A. Donev, B. E. Griffith, E. Vanden-Eijnden, S. Delong","submitted_at":"2012-12-05T14:23:23Z","abstract_excerpt":"Including the effect of thermal fluctuations in traditional computational fluid dynamics requires developing numerical techniques for solving the stochastic partial differential equations of fluctuating hydrodynamics. These Langevin equations possess a special fluctuation-dissipation structure that needs to be preserved by spatio-temporal discretizations in order for the computed solution to reproduce the correct long-time behavior. In particular, numerical solutions should approximate the Gibbs-Boltzmann equilibrium distribution, and ideally this will hold even for large time step sizes. We d"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1212.1033","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2012-12-05T14:23:23Z","cross_cats_sorted":[],"title_canon_sha256":"2ed1499382fdd7c5ffa9b4b69ba077ce40f27a4c01d98f3f6c9b2db32f6918c3","abstract_canon_sha256":"e0c976da34305a281fd8b29fa6901a455868255e9c5ba57783cc553a0b2aef61"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:52:47.457102Z","signature_b64":"NdDFBK3+QMBMEISla1ftqaJpBTeTUXCuQ4LHNstZzBYUxmaLYqmbWbeZVg9fl0nLb/p/gmiDK7b7Ub4VKR48Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"404ea0370096a053d550dbdbee87ae035078f5eb5a473c0bb752d4ca970b2648","last_reissued_at":"2026-05-18T01:52:47.456267Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:52:47.456267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Temporal Integrators for Fluctuating Hydrodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"A. Donev, B. E. Griffith, E. Vanden-Eijnden, S. Delong","submitted_at":"2012-12-05T14:23:23Z","abstract_excerpt":"Including the effect of thermal fluctuations in traditional computational fluid dynamics requires developing numerical techniques for solving the stochastic partial differential equations of fluctuating hydrodynamics. These Langevin equations possess a special fluctuation-dissipation structure that needs to be preserved by spatio-temporal discretizations in order for the computed solution to reproduce the correct long-time behavior. In particular, numerical solutions should approximate the Gibbs-Boltzmann equilibrium distribution, and ideally this will hold even for large time step sizes. We d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1033","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1212.1033","created_at":"2026-05-18T01:52:47.456547+00:00"},{"alias_kind":"arxiv_version","alias_value":"1212.1033v3","created_at":"2026-05-18T01:52:47.456547+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1033","created_at":"2026-05-18T01:52:47.456547+00:00"},{"alias_kind":"pith_short_12","alias_value":"IBHKANYAS2QF","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_16","alias_value":"IBHKANYAS2QFHVKQ","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_8","alias_value":"IBHKANYA","created_at":"2026-05-18T12:27:09.501522+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IBHKANYAS2QFHVKQ3PN65B5OAN","json":"https://pith.science/pith/IBHKANYAS2QFHVKQ3PN65B5OAN.json","graph_json":"https://pith.science/api/pith-number/IBHKANYAS2QFHVKQ3PN65B5OAN/graph.json","events_json":"https://pith.science/api/pith-number/IBHKANYAS2QFHVKQ3PN65B5OAN/events.json","paper":"https://pith.science/paper/IBHKANYA"},"agent_actions":{"view_html":"https://pith.science/pith/IBHKANYAS2QFHVKQ3PN65B5OAN","download_json":"https://pith.science/pith/IBHKANYAS2QFHVKQ3PN65B5OAN.json","view_paper":"https://pith.science/paper/IBHKANYA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1212.1033&json=true","fetch_graph":"https://pith.science/api/pith-number/IBHKANYAS2QFHVKQ3PN65B5OAN/graph.json","fetch_events":"https://pith.science/api/pith-number/IBHKANYAS2QFHVKQ3PN65B5OAN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IBHKANYAS2QFHVKQ3PN65B5OAN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IBHKANYAS2QFHVKQ3PN65B5OAN/action/storage_attestation","attest_author":"https://pith.science/pith/IBHKANYAS2QFHVKQ3PN65B5OAN/action/author_attestation","sign_citation":"https://pith.science/pith/IBHKANYAS2QFHVKQ3PN65B5OAN/action/citation_signature","submit_replication":"https://pith.science/pith/IBHKANYAS2QFHVKQ3PN65B5OAN/action/replication_record"}},"created_at":"2026-05-18T01:52:47.456547+00:00","updated_at":"2026-05-18T01:52:47.456547+00:00"}