{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:HJG2GU4FI52HE62ZDLE7OAWDPA","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":"9714211765c8a9930ee82c7f7614830758eabefb60aaf2ca274d1fcf598025b4","cross_cats_sorted":["cs.NA","math.MP","math.NA","math.PR","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-13T15:30:19Z","title_canon_sha256":"13ca5d2b455b09cfa734213d31d9affa233cbdaaca17add7a7302fb98cef11df"},"schema_version":"1.0","source":{"id":"2605.13671","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.13671","created_at":"2026-05-18T02:44:17Z"},{"alias_kind":"arxiv_version","alias_value":"2605.13671v1","created_at":"2026-05-18T02:44:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.13671","created_at":"2026-05-18T02:44:17Z"},{"alias_kind":"pith_short_12","alias_value":"HJG2GU4FI52H","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"HJG2GU4FI52HE62Z","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"HJG2GU4F","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:4c7b8264558b275780af96c8265020e001b1ef150c61508bcfbd0d56cf31dc91","target":"graph","created_at":"2026-05-18T02:44:17Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"The stochastic model for the Fourier components produces an effective diffusion for the passive tracer that matches the one obtained from direct numerical simulation of the turbulent flow."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"That the Fourier modes can be modeled as independent processes driven by filtered white noise whose single correlation length is sufficient to capture the transport statistics, without needing cross-mode correlations or higher-order statistics."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Filtered white noise stochastic model for Fourier modes in 2D turbulence reproduces effective diffusion of passive tracers seen in DNS."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"A stochastic model of Fourier modes driven by filtered white noise reproduces the effective diffusion of passive tracers in two-dimensional turbulence."}],"snapshot_sha256":"0ae42d2f0184e679b044f8b5f7d30018da5e0cf863089473f6fa66e96778c49a"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Modeling turbulent flows by a random Fourier decomposition is a classical procedure in order to use simplified models of turbulence in heat transport and other applications. We carefully investigate the Fourier time series of two-dimensional turbulent flows forced at intermediate scales and identify significant statistical structures. In particular, we find the existence of a typical time correlation length, and propose a stochastic model for the Fourier components. Finally, we compute the transport of a passive tracer under purely convective dynamics by means of direct numerical simulation of","authors_text":"Andrea Zanoni, Franco Flandoli, Paolo Cifani","cross_cats":["cs.NA","math.MP","math.NA","math.PR","physics.flu-dyn"],"headline":"A stochastic model of Fourier modes driven by filtered white noise reproduces the effective diffusion of passive tracers in two-dimensional turbulence.","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-13T15:30:19Z","title":"Stochastic modeling of Fourier modes in two-dimensional turbulence via filtered white noise"},"references":{"count":37,"internal_anchors":0,"resolved_work":37,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"Apolin´ ario, Geoffrey Beck, Laurent Chevillard, Isabelle Gal- lagher, and Ricardo Grande","work_id":"9bfb9366-6b66-4189-8b4c-88a0e1d6d319","year":2043},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"Apolin´ ario, Laurent Chevillard, and Jean-Christophe Mourrat","work_id":"fb0b68e5-3229-4142-999f-2f02bbd8a799","year":2022},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":3,"title":"Stochastic model reduction: convergence and applications to climate equations.J","work_id":"add680af-c87b-4ac4-96dd-5055c771e0c5","year":2021},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":4,"title":"G. Boffetta and S. Musacchio. Evidence for the double cascade scenario in two-dimensional turbulence.Phys. Rev. E, 82:016307, Jul 2010","work_id":"906275f0-9adf-4f8f-8cdc-468c4319f1f1","year":2010},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"Guido Boffetta and Robert E. Ecke. Two-dimensional turbulence. InAn- nual review of fluid mechanics. Volume 44, 2012, volume 44 ofAnnu. Rev. Fluid Mech., pages 427–451. Annual Reviews, Palo Alto, CA, ","work_id":"cc3981d8-ce56-43ac-9149-8fb91a6be470","year":2012}],"snapshot_sha256":"4e6fccd36f207758c0363d43e2fe2fc03b7cb14c236dc9fcb34cd39e51f505a9"},"source":{"id":"2605.13671","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-14T17:47:15.530688Z","id":"3383a4ec-c03c-4e64-9de5-ce96a552af04","model_set":{"reader":"grok-4.3"},"one_line_summary":"Filtered white noise stochastic model for Fourier modes in 2D turbulence reproduces effective diffusion of passive tracers seen in DNS.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"A stochastic model of Fourier modes driven by filtered white noise reproduces the effective diffusion of passive tracers in two-dimensional turbulence.","strongest_claim":"The stochastic model for the Fourier components produces an effective diffusion for the passive tracer that matches the one obtained from direct numerical simulation of the turbulent flow.","weakest_assumption":"That the Fourier modes can be modeled as independent processes driven by filtered white noise whose single correlation length is sufficient to capture the transport statistics, without needing cross-mode correlations or higher-order statistics."}},"verdict_id":"3383a4ec-c03c-4e64-9de5-ce96a552af04"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:84fd6009187090fef7c34a4d029ed34c0d3c3ff7ea52ee5ab8bcbb65f76a804c","target":"record","created_at":"2026-05-18T02:44:17Z","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":"9714211765c8a9930ee82c7f7614830758eabefb60aaf2ca274d1fcf598025b4","cross_cats_sorted":["cs.NA","math.MP","math.NA","math.PR","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-13T15:30:19Z","title_canon_sha256":"13ca5d2b455b09cfa734213d31d9affa233cbdaaca17add7a7302fb98cef11df"},"schema_version":"1.0","source":{"id":"2605.13671","kind":"arxiv","version":1}},"canonical_sha256":"3a4da353854774727b591ac9f702c3783d887193f95403648217f1300ade1c33","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a4da353854774727b591ac9f702c3783d887193f95403648217f1300ade1c33","first_computed_at":"2026-05-18T02:44:17.174876Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:17.174876Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"73UTKsFCNaSF+twI3FOEGEE59QECTfgZ/3QUBlvhiJikSoGohf5pRBpMRlrG0GHhM7uagOvJMf/XDbjFjByuBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:17.175486Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.13671","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84fd6009187090fef7c34a4d029ed34c0d3c3ff7ea52ee5ab8bcbb65f76a804c","sha256:4c7b8264558b275780af96c8265020e001b1ef150c61508bcfbd0d56cf31dc91"],"state_sha256":"b1aff4d97006374b3438a2bc9a054c64b3718ce739bf6ae0254a683933826666"}