{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:TAMNACVKXM6E5U3YPJLD6LD3YO","short_pith_number":"pith:TAMNACVK","schema_version":"1.0","canonical_sha256":"9818d00aaabb3c4ed3787a563f2c7bc3a298a439648162e39bd12ff43923eda0","source":{"kind":"arxiv","id":"nlin/0103029","version":2},"attestation_state":"computed","paper":{"title":"Universality of Velocity Gradients in Forced Burgers Turbulence","license":"","headline":"","cross_cats":["cond-mat"],"primary_cat":"nlin.CD","authors_text":"Jeremie Bec","submitted_at":"2001-03-20T17:42:33Z","abstract_excerpt":"It is demonstrated that Burgers turbulence subject to large-scale white-noise-in-time random forcing has a universal power-law tail with exponent -7/2 in the probability density function of negative velocity gradients, as predicted by E, Khanin, Mazel and Sinai (1997, Phys. Rev. Lett. 78, 1904). A particle and shock tracking numerical method gives about five decades of scaling. Using a Lagrangian approach, the -7/2 law is related to the shape of the unstable manifold associated to the global minimizer."},"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":"nlin/0103029","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"nlin.CD","submitted_at":"2001-03-20T17:42:33Z","cross_cats_sorted":["cond-mat"],"title_canon_sha256":"9898a55746d3d8ee197ad38e54f265e998bdde95fe0eade902871f38020ba4b9","abstract_canon_sha256":"50e3b9785459bff7890b677ec27865fa5100f42517be9e43dce2012e3e3522d3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:28:18.559894Z","signature_b64":"gNfCtaSHxR5lyNoQ0T8FBWCqoXgXNA2+z48VFiXEy/ScHDLPsFzFMY53NJ7WUPuYLTdIvrkyjQ5ebPFyVVpVBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9818d00aaabb3c4ed3787a563f2c7bc3a298a439648162e39bd12ff43923eda0","last_reissued_at":"2026-07-04T16:28:18.559479Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:28:18.559479Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Universality of Velocity Gradients in Forced Burgers Turbulence","license":"","headline":"","cross_cats":["cond-mat"],"primary_cat":"nlin.CD","authors_text":"Jeremie Bec","submitted_at":"2001-03-20T17:42:33Z","abstract_excerpt":"It is demonstrated that Burgers turbulence subject to large-scale white-noise-in-time random forcing has a universal power-law tail with exponent -7/2 in the probability density function of negative velocity gradients, as predicted by E, Khanin, Mazel and Sinai (1997, Phys. Rev. Lett. 78, 1904). A particle and shock tracking numerical method gives about five decades of scaling. Using a Lagrangian approach, the -7/2 law is related to the shape of the unstable manifold associated to the global minimizer."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0103029","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/nlin/0103029/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"nlin/0103029","created_at":"2026-07-04T16:28:18.559544+00:00"},{"alias_kind":"arxiv_version","alias_value":"nlin/0103029v2","created_at":"2026-07-04T16:28:18.559544+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0103029","created_at":"2026-07-04T16:28:18.559544+00:00"},{"alias_kind":"pith_short_12","alias_value":"TAMNACVKXM6E","created_at":"2026-07-04T16:28:18.559544+00:00"},{"alias_kind":"pith_short_16","alias_value":"TAMNACVKXM6E5U3Y","created_at":"2026-07-04T16:28:18.559544+00:00"},{"alias_kind":"pith_short_8","alias_value":"TAMNACVK","created_at":"2026-07-04T16:28:18.559544+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/TAMNACVKXM6E5U3YPJLD6LD3YO","json":"https://pith.science/pith/TAMNACVKXM6E5U3YPJLD6LD3YO.json","graph_json":"https://pith.science/api/pith-number/TAMNACVKXM6E5U3YPJLD6LD3YO/graph.json","events_json":"https://pith.science/api/pith-number/TAMNACVKXM6E5U3YPJLD6LD3YO/events.json","paper":"https://pith.science/paper/TAMNACVK"},"agent_actions":{"view_html":"https://pith.science/pith/TAMNACVKXM6E5U3YPJLD6LD3YO","download_json":"https://pith.science/pith/TAMNACVKXM6E5U3YPJLD6LD3YO.json","view_paper":"https://pith.science/paper/TAMNACVK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=nlin/0103029&json=true","fetch_graph":"https://pith.science/api/pith-number/TAMNACVKXM6E5U3YPJLD6LD3YO/graph.json","fetch_events":"https://pith.science/api/pith-number/TAMNACVKXM6E5U3YPJLD6LD3YO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TAMNACVKXM6E5U3YPJLD6LD3YO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TAMNACVKXM6E5U3YPJLD6LD3YO/action/storage_attestation","attest_author":"https://pith.science/pith/TAMNACVKXM6E5U3YPJLD6LD3YO/action/author_attestation","sign_citation":"https://pith.science/pith/TAMNACVKXM6E5U3YPJLD6LD3YO/action/citation_signature","submit_replication":"https://pith.science/pith/TAMNACVKXM6E5U3YPJLD6LD3YO/action/replication_record"}},"created_at":"2026-07-04T16:28:18.559544+00:00","updated_at":"2026-07-04T16:28:18.559544+00:00"}