{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:EOEMCXV3YFCHE4WM5ZKGD77XGC","short_pith_number":"pith:EOEMCXV3","schema_version":"1.0","canonical_sha256":"2388c15ebbc1447272ccee5461fff730a0c46336accc367554d5b7f896d140f8","source":{"kind":"arxiv","id":"1406.1585","version":2},"attestation_state":"computed","paper":{"title":"Response function of turbulence computed via fluctuation-response relation of a Langevin system with vanishing noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","physics.flu-dyn"],"primary_cat":"nlin.CD","authors_text":"Akio Nakahara, Michio Otsuki, Ooshida Takeshi, Susumu Goto, Takeshi Matsumoto","submitted_at":"2014-06-06T05:29:57Z","abstract_excerpt":"For a shell model of the fully developed turbulence and the incompressible Navier-Stokes equations in the Fourier space, when a Gaussian white noise is artificially added to the equation of each mode, an expression of the mean linear response function in terms of the velocity correlation functions is derived by applying the method developed for nonequilibrium Langevin systems [Harada and Sasa, Phys. Rev. Lett. 95, 130602 (2005)]. We verify numerically for the shell model case that the derived expression of the response function, as the noise tends to zero, converges to the response function of"},"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":"1406.1585","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-06-06T05:29:57Z","cross_cats_sorted":["cond-mat.stat-mech","physics.flu-dyn"],"title_canon_sha256":"08c45bfe76df3a8936ad52beaa665c0f3209880da4881c073e41ff873e69959c","abstract_canon_sha256":"88ae44fa3823e48c231cbdb63be0c0faf60b6daa23013d58aca1eb62da26875e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:45.850284Z","signature_b64":"GAGI+c/EXiorX89rbJmcDYRYLLRg8I6DIP1FGitfOSzPDyoq1/2CcAtBgpWYZEM+JowIdenAJ0tqh5A/QbgdAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2388c15ebbc1447272ccee5461fff730a0c46336accc367554d5b7f896d140f8","last_reissued_at":"2026-05-18T02:48:45.849604Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:45.849604Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Response function of turbulence computed via fluctuation-response relation of a Langevin system with vanishing noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","physics.flu-dyn"],"primary_cat":"nlin.CD","authors_text":"Akio Nakahara, Michio Otsuki, Ooshida Takeshi, Susumu Goto, Takeshi Matsumoto","submitted_at":"2014-06-06T05:29:57Z","abstract_excerpt":"For a shell model of the fully developed turbulence and the incompressible Navier-Stokes equations in the Fourier space, when a Gaussian white noise is artificially added to the equation of each mode, an expression of the mean linear response function in terms of the velocity correlation functions is derived by applying the method developed for nonequilibrium Langevin systems [Harada and Sasa, Phys. Rev. Lett. 95, 130602 (2005)]. We verify numerically for the shell model case that the derived expression of the response function, as the noise tends to zero, converges to the response function of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1585","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1406.1585","created_at":"2026-05-18T02:48:45.849723+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.1585v2","created_at":"2026-05-18T02:48:45.849723+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.1585","created_at":"2026-05-18T02:48:45.849723+00:00"},{"alias_kind":"pith_short_12","alias_value":"EOEMCXV3YFCH","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_16","alias_value":"EOEMCXV3YFCHE4WM","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_8","alias_value":"EOEMCXV3","created_at":"2026-05-18T12:28:28.263976+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/EOEMCXV3YFCHE4WM5ZKGD77XGC","json":"https://pith.science/pith/EOEMCXV3YFCHE4WM5ZKGD77XGC.json","graph_json":"https://pith.science/api/pith-number/EOEMCXV3YFCHE4WM5ZKGD77XGC/graph.json","events_json":"https://pith.science/api/pith-number/EOEMCXV3YFCHE4WM5ZKGD77XGC/events.json","paper":"https://pith.science/paper/EOEMCXV3"},"agent_actions":{"view_html":"https://pith.science/pith/EOEMCXV3YFCHE4WM5ZKGD77XGC","download_json":"https://pith.science/pith/EOEMCXV3YFCHE4WM5ZKGD77XGC.json","view_paper":"https://pith.science/paper/EOEMCXV3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.1585&json=true","fetch_graph":"https://pith.science/api/pith-number/EOEMCXV3YFCHE4WM5ZKGD77XGC/graph.json","fetch_events":"https://pith.science/api/pith-number/EOEMCXV3YFCHE4WM5ZKGD77XGC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EOEMCXV3YFCHE4WM5ZKGD77XGC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EOEMCXV3YFCHE4WM5ZKGD77XGC/action/storage_attestation","attest_author":"https://pith.science/pith/EOEMCXV3YFCHE4WM5ZKGD77XGC/action/author_attestation","sign_citation":"https://pith.science/pith/EOEMCXV3YFCHE4WM5ZKGD77XGC/action/citation_signature","submit_replication":"https://pith.science/pith/EOEMCXV3YFCHE4WM5ZKGD77XGC/action/replication_record"}},"created_at":"2026-05-18T02:48:45.849723+00:00","updated_at":"2026-05-18T02:48:45.849723+00:00"}