{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:JUW45VT5IMHGHOFPNFMRH6MZKU","short_pith_number":"pith:JUW45VT5","schema_version":"1.0","canonical_sha256":"4d2dced67d430e63b8af695913f99955376429152ea633b9751d15dacf8abc91","source":{"kind":"arxiv","id":"1505.07984","version":3},"attestation_state":"computed","paper":{"title":"Turbulence on a Fractal Fourier set","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"physics.flu-dyn","authors_text":"Alessandra Sabina Lanotte, Federico Toschi, Luca Biferale, Roberto Benzi, Shiva Kumar Malapaka","submitted_at":"2015-05-29T10:33:47Z","abstract_excerpt":"A novel investigation of the nature of intermittency in incompressible, homogeneous and isotropic turbulence is performed by a numerical study of the Navier-Stokes equations constrained on a fractal Fourier set. The robustness of the energy transfer and of the vortex stretching mechanisms is tested by changing the fractal dimension, D, from the original three dimensional case to a strongly decimated system with D=2.5, where only about $3\\%$ of the Fourier modes interact. This is a unique methodology to probe the statistical properties of the turbulent energy cascade, without breaking any of th"},"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":"1505.07984","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-05-29T10:33:47Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"5a7610ae8f7c3d2c21157539d7e0fa9e34783fb5a091e1f3eb0a440e4b1e65bd","abstract_canon_sha256":"2dd96752e792540e6a9f5b3791017547f794fd8b79ace405b731ebbca704652d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:59.992310Z","signature_b64":"+QAVReaSlHJq35AFTh3VWEml3RZbHYPJXy/+g3/om5hUP7KIcJ8GGM+ONOspIw8NKFimkhXmhoG4x5hK2slcCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d2dced67d430e63b8af695913f99955376429152ea633b9751d15dacf8abc91","last_reissued_at":"2026-05-18T01:17:59.991591Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:59.991591Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Turbulence on a Fractal Fourier set","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"physics.flu-dyn","authors_text":"Alessandra Sabina Lanotte, Federico Toschi, Luca Biferale, Roberto Benzi, Shiva Kumar Malapaka","submitted_at":"2015-05-29T10:33:47Z","abstract_excerpt":"A novel investigation of the nature of intermittency in incompressible, homogeneous and isotropic turbulence is performed by a numerical study of the Navier-Stokes equations constrained on a fractal Fourier set. The robustness of the energy transfer and of the vortex stretching mechanisms is tested by changing the fractal dimension, D, from the original three dimensional case to a strongly decimated system with D=2.5, where only about $3\\%$ of the Fourier modes interact. This is a unique methodology to probe the statistical properties of the turbulent energy cascade, without breaking any of th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.07984","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":"1505.07984","created_at":"2026-05-18T01:17:59.991716+00:00"},{"alias_kind":"arxiv_version","alias_value":"1505.07984v3","created_at":"2026-05-18T01:17:59.991716+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.07984","created_at":"2026-05-18T01:17:59.991716+00:00"},{"alias_kind":"pith_short_12","alias_value":"JUW45VT5IMHG","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_16","alias_value":"JUW45VT5IMHGHOFP","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_8","alias_value":"JUW45VT5","created_at":"2026-05-18T12:29:27.538025+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/JUW45VT5IMHGHOFPNFMRH6MZKU","json":"https://pith.science/pith/JUW45VT5IMHGHOFPNFMRH6MZKU.json","graph_json":"https://pith.science/api/pith-number/JUW45VT5IMHGHOFPNFMRH6MZKU/graph.json","events_json":"https://pith.science/api/pith-number/JUW45VT5IMHGHOFPNFMRH6MZKU/events.json","paper":"https://pith.science/paper/JUW45VT5"},"agent_actions":{"view_html":"https://pith.science/pith/JUW45VT5IMHGHOFPNFMRH6MZKU","download_json":"https://pith.science/pith/JUW45VT5IMHGHOFPNFMRH6MZKU.json","view_paper":"https://pith.science/paper/JUW45VT5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1505.07984&json=true","fetch_graph":"https://pith.science/api/pith-number/JUW45VT5IMHGHOFPNFMRH6MZKU/graph.json","fetch_events":"https://pith.science/api/pith-number/JUW45VT5IMHGHOFPNFMRH6MZKU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JUW45VT5IMHGHOFPNFMRH6MZKU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JUW45VT5IMHGHOFPNFMRH6MZKU/action/storage_attestation","attest_author":"https://pith.science/pith/JUW45VT5IMHGHOFPNFMRH6MZKU/action/author_attestation","sign_citation":"https://pith.science/pith/JUW45VT5IMHGHOFPNFMRH6MZKU/action/citation_signature","submit_replication":"https://pith.science/pith/JUW45VT5IMHGHOFPNFMRH6MZKU/action/replication_record"}},"created_at":"2026-05-18T01:17:59.991716+00:00","updated_at":"2026-05-18T01:17:59.991716+00:00"}