{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:2SQ46FLLPV2WU4SJJ6HRLXJMAA","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":"0137fab9a7ef9ac344d5c0a6c5b9ffea69e438b4a8431ff074ff29174cc262eb","cross_cats_sorted":["hep-ph","hep-th","nucl-th","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-05-31T12:47:23Z","title_canon_sha256":"a52a149052eee13cc174d2b8bbed713851e068197cf85d00d57114d67870a132"},"schema_version":"1.0","source":{"id":"1105.6256","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.6256","created_at":"2026-05-18T03:53:31Z"},{"alias_kind":"arxiv_version","alias_value":"1105.6256v2","created_at":"2026-05-18T03:53:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.6256","created_at":"2026-05-18T03:53:31Z"},{"alias_kind":"pith_short_12","alias_value":"2SQ46FLLPV2W","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"2SQ46FLLPV2WU4SJ","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"2SQ46FLL","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:80733a50ca7995ba509046541d4fda23b20ab75c8d08694bd419a63d469d7a8e","target":"graph","created_at":"2026-05-18T03:53:31Z","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":"We show for the first time that the stochastic variational method can naturally derive the Navier-Stokes equation starting from the action of ideal fluid. In the frame work of the stochastic variational method, the dynamical variables are extended to stochastic quantities. Then the effect of dissipation is realized as the direct consequence of the fluctuation-dissipation theorem. The present result reveals the potential availability of this approach to describe more general dissipative processes.","authors_text":"T. Kodama, T. Koide","cross_cats":["hep-ph","hep-th","nucl-th","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-05-31T12:47:23Z","title":"Navier-Stokes Equation by Stochastic Variational Method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.6256","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":"sha256:5391aa24307d7c050853a2d253d83cb0c62a8b41200424ce77dd8e4eef60f956","target":"record","created_at":"2026-05-18T03:53:31Z","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":"0137fab9a7ef9ac344d5c0a6c5b9ffea69e438b4a8431ff074ff29174cc262eb","cross_cats_sorted":["hep-ph","hep-th","nucl-th","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-05-31T12:47:23Z","title_canon_sha256":"a52a149052eee13cc174d2b8bbed713851e068197cf85d00d57114d67870a132"},"schema_version":"1.0","source":{"id":"1105.6256","kind":"arxiv","version":2}},"canonical_sha256":"d4a1cf156b7d756a72494f8f15dd2c002ca6d4d628520fcf2873e36bc0d4368d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4a1cf156b7d756a72494f8f15dd2c002ca6d4d628520fcf2873e36bc0d4368d","first_computed_at":"2026-05-18T03:53:31.860217Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:53:31.860217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IYiz9BEmW7H+IOzoAIOyF9IVmvF84wC7HeVQKmUuPL2qye0xAgq0+B4npv1Hp+VoAqXrAtbj6udX38s7HjHOBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:53:31.861015Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.6256","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5391aa24307d7c050853a2d253d83cb0c62a8b41200424ce77dd8e4eef60f956","sha256:80733a50ca7995ba509046541d4fda23b20ab75c8d08694bd419a63d469d7a8e"],"state_sha256":"f4e2974575d1b3e36e98c9617f96a07ef28a090053209d121bd8d77c100d9b88"}