{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:SQ2IP7FMHX3I3BGY4JHIDVBTZJ","short_pith_number":"pith:SQ2IP7FM","schema_version":"1.0","canonical_sha256":"943487fcac3df68d84d8e24e81d433ca7e2c5dfa1bb2cf61c4d2454f41ca20d4","source":{"kind":"arxiv","id":"1206.0948","version":1},"attestation_state":"computed","paper":{"title":"Real-space Manifestations of Bottlenecks in Turbulence Spectra","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":"Debarghya Banerjee, Ganapati Sahoo, Rahul Pandit, Samriddhi Sankar Ray, Uriel Frisch","submitted_at":"2012-06-05T14:26:57Z","abstract_excerpt":"An energy-spectrum bottleneck, a bump in the turbulence spectrum between the inertial and dissipation ranges, is shown to occur in the non-turbulent, one-dimensional, hyperviscous Burgers equation and found to be the Fourier-space signature of oscillations in the real-space velocity, which are explained by boundary-layer-expansion techniques. Pseudospectral simulations are used to show that such oscillations occur in velocity correlation functions in one- and three-dimensional hyperviscous hydrodynamical equations that display genuine turbulence."},"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":"1206.0948","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-06-05T14:26:57Z","cross_cats_sorted":["cond-mat.stat-mech","physics.flu-dyn"],"title_canon_sha256":"85eec6bd2e14ecc2bd2594b1e67deefe08112bcc11efce8fc7e30fa0eeec2c1e","abstract_canon_sha256":"e63c598a269ebb1f3a159b5932deca9beeedb89a89ece6c17a5ed9a3dd6b1c77"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:32:17.849300Z","signature_b64":"3IYE72CQEAQSZ6dRDC84LJYn3/Ml4BUtiPpat48dFllUj/+dfq3muFBgzhGrWheyYcDYVvlV5J60zXb65NkmAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"943487fcac3df68d84d8e24e81d433ca7e2c5dfa1bb2cf61c4d2454f41ca20d4","last_reissued_at":"2026-05-18T03:32:17.848805Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:32:17.848805Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Real-space Manifestations of Bottlenecks in Turbulence Spectra","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":"Debarghya Banerjee, Ganapati Sahoo, Rahul Pandit, Samriddhi Sankar Ray, Uriel Frisch","submitted_at":"2012-06-05T14:26:57Z","abstract_excerpt":"An energy-spectrum bottleneck, a bump in the turbulence spectrum between the inertial and dissipation ranges, is shown to occur in the non-turbulent, one-dimensional, hyperviscous Burgers equation and found to be the Fourier-space signature of oscillations in the real-space velocity, which are explained by boundary-layer-expansion techniques. Pseudospectral simulations are used to show that such oscillations occur in velocity correlation functions in one- and three-dimensional hyperviscous hydrodynamical equations that display genuine turbulence."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.0948","kind":"arxiv","version":1},"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":"1206.0948","created_at":"2026-05-18T03:32:17.848868+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.0948v1","created_at":"2026-05-18T03:32:17.848868+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.0948","created_at":"2026-05-18T03:32:17.848868+00:00"},{"alias_kind":"pith_short_12","alias_value":"SQ2IP7FMHX3I","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_16","alias_value":"SQ2IP7FMHX3I3BGY","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_8","alias_value":"SQ2IP7FM","created_at":"2026-05-18T12:27:20.899486+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/SQ2IP7FMHX3I3BGY4JHIDVBTZJ","json":"https://pith.science/pith/SQ2IP7FMHX3I3BGY4JHIDVBTZJ.json","graph_json":"https://pith.science/api/pith-number/SQ2IP7FMHX3I3BGY4JHIDVBTZJ/graph.json","events_json":"https://pith.science/api/pith-number/SQ2IP7FMHX3I3BGY4JHIDVBTZJ/events.json","paper":"https://pith.science/paper/SQ2IP7FM"},"agent_actions":{"view_html":"https://pith.science/pith/SQ2IP7FMHX3I3BGY4JHIDVBTZJ","download_json":"https://pith.science/pith/SQ2IP7FMHX3I3BGY4JHIDVBTZJ.json","view_paper":"https://pith.science/paper/SQ2IP7FM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.0948&json=true","fetch_graph":"https://pith.science/api/pith-number/SQ2IP7FMHX3I3BGY4JHIDVBTZJ/graph.json","fetch_events":"https://pith.science/api/pith-number/SQ2IP7FMHX3I3BGY4JHIDVBTZJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SQ2IP7FMHX3I3BGY4JHIDVBTZJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SQ2IP7FMHX3I3BGY4JHIDVBTZJ/action/storage_attestation","attest_author":"https://pith.science/pith/SQ2IP7FMHX3I3BGY4JHIDVBTZJ/action/author_attestation","sign_citation":"https://pith.science/pith/SQ2IP7FMHX3I3BGY4JHIDVBTZJ/action/citation_signature","submit_replication":"https://pith.science/pith/SQ2IP7FMHX3I3BGY4JHIDVBTZJ/action/replication_record"}},"created_at":"2026-05-18T03:32:17.848868+00:00","updated_at":"2026-05-18T03:32:17.848868+00:00"}