{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:TEPKLF3YKSRGJCTWDBBFUHHRMO","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":"893306447ee2b055c6401b8156fa88ebc8242e5f89fc5b4f86604310c7adf9b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2009-09-13T02:14:05Z","title_canon_sha256":"4f88f4ed22d228db12d8521273509a2affba0aa4dd7ff2d29ebc24e542c756e6"},"schema_version":"1.0","source":{"id":"0909.2386","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.2386","created_at":"2026-05-18T02:11:48Z"},{"alias_kind":"arxiv_version","alias_value":"0909.2386v1","created_at":"2026-05-18T02:11:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.2386","created_at":"2026-05-18T02:11:48Z"},{"alias_kind":"pith_short_12","alias_value":"TEPKLF3YKSRG","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"TEPKLF3YKSRGJCTW","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"TEPKLF3Y","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:9fae64d38f8b6780e56a520ab0568a2958fa549e59a08d2509bb53bcc71a12f3","target":"graph","created_at":"2026-05-18T02:11:48Z","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 introduce a novel approach to scale-decomposition of the fluid kinetic energy (or other quadratic integrals) into band-pass contributions from a series of length-scales. Our decomposition is based on a multiscale generalization of the ``Germano identity'' for smooth, graded filter kernels. We employ this method to derive a budget equation that describes the transfers of turbulent kinetic energy both in space and in scale. It is shown that the inter-scale energy transfer is dominated by local triadic interactions, assuming only the scaling properties expected in a turbulent inertial-range. W","authors_text":"Gregory L. Eyink, Hussein Aluie","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2009-09-13T02:14:05Z","title":"Localness of energy cascade in hydrodynamic turbulence, I. Smooth coarse-graining"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.2386","kind":"arxiv","version":1},"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":"sha256:54498b55faa0fc48db3fbfebabdd93cbb28c9d579551d5adcce916042bd15dd1","target":"record","created_at":"2026-05-18T02:11:48Z","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":"893306447ee2b055c6401b8156fa88ebc8242e5f89fc5b4f86604310c7adf9b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2009-09-13T02:14:05Z","title_canon_sha256":"4f88f4ed22d228db12d8521273509a2affba0aa4dd7ff2d29ebc24e542c756e6"},"schema_version":"1.0","source":{"id":"0909.2386","kind":"arxiv","version":1}},"canonical_sha256":"991ea5977854a2648a7618425a1cf163975576631b7013e19e7e4dc9a2d87436","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"991ea5977854a2648a7618425a1cf163975576631b7013e19e7e4dc9a2d87436","first_computed_at":"2026-05-18T02:11:48.467132Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:11:48.467132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uL6+YvLeFTf0d3gXMja7NPz4Ho+E/j1W01v+qYXleeCddv1VLMDbVYs9Xd48J5s8JHbaSSi4893fG8bzObLzDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:11:48.467679Z","signed_message":"canonical_sha256_bytes"},"source_id":"0909.2386","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54498b55faa0fc48db3fbfebabdd93cbb28c9d579551d5adcce916042bd15dd1","sha256:9fae64d38f8b6780e56a520ab0568a2958fa549e59a08d2509bb53bcc71a12f3"],"state_sha256":"7edffeb4b406e6cb5194d97b7952278cc4f1e809688e4056fe3972ee0e61d34c"}