{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:TAMNACVKXM6E5U3YPJLD6LD3YO","short_pith_number":"pith:TAMNACVK","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"},"canonical_sha256":"9818d00aaabb3c4ed3787a563f2c7bc3a298a439648162e39bd12ff43923eda0","source":{"kind":"arxiv","id":"nlin/0103029","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0103029","created_at":"2026-07-04T16:28:18Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0103029v2","created_at":"2026-07-04T16:28:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0103029","created_at":"2026-07-04T16:28:18Z"},{"alias_kind":"pith_short_12","alias_value":"TAMNACVKXM6E","created_at":"2026-07-04T16:28:18Z"},{"alias_kind":"pith_short_16","alias_value":"TAMNACVKXM6E5U3Y","created_at":"2026-07-04T16:28:18Z"},{"alias_kind":"pith_short_8","alias_value":"TAMNACVK","created_at":"2026-07-04T16:28:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:TAMNACVKXM6E5U3YPJLD6LD3YO","target":"record","payload":{"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"},"canonical_sha256":"9818d00aaabb3c4ed3787a563f2c7bc3a298a439648162e39bd12ff43923eda0","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"},"source_kind":"arxiv","source_id":"nlin/0103029","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:28:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mMYBGmiV4NRNDRF/BaSLYe2PXC58y3UazWusggRtEfTr+OmLxcKhtJIwM07pfz31MzNz2dI7Y46uu7rbNhBKBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T20:14:45.251833Z"},"content_sha256":"c1cc5fb6b4945070834ae493731edcbd2d24f24e2befb2fd5624d1862fdb8931","schema_version":"1.0","event_id":"sha256:c1cc5fb6b4945070834ae493731edcbd2d24f24e2befb2fd5624d1862fdb8931"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:TAMNACVKXM6E5U3YPJLD6LD3YO","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:28:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8Dq6pBPV7KAoDCNtLHhxow7Y8brP9M58VPJ0zkUAz2jbyULg1RI/D6MChewTZgiT9PzcHv0RiwyI37pxCpNYAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T20:14:45.252731Z"},"content_sha256":"0fd604cef26a4622f6991afdf50bb54651671b559b7107921718daa157624f71","schema_version":"1.0","event_id":"sha256:0fd604cef26a4622f6991afdf50bb54651671b559b7107921718daa157624f71"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TAMNACVKXM6E5U3YPJLD6LD3YO/bundle.json","state_url":"https://pith.science/pith/TAMNACVKXM6E5U3YPJLD6LD3YO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TAMNACVKXM6E5U3YPJLD6LD3YO/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-05T20:14:45Z","links":{"resolver":"https://pith.science/pith/TAMNACVKXM6E5U3YPJLD6LD3YO","bundle":"https://pith.science/pith/TAMNACVKXM6E5U3YPJLD6LD3YO/bundle.json","state":"https://pith.science/pith/TAMNACVKXM6E5U3YPJLD6LD3YO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TAMNACVKXM6E5U3YPJLD6LD3YO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:TAMNACVKXM6E5U3YPJLD6LD3YO","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":"50e3b9785459bff7890b677ec27865fa5100f42517be9e43dce2012e3e3522d3","cross_cats_sorted":["cond-mat"],"license":"","primary_cat":"nlin.CD","submitted_at":"2001-03-20T17:42:33Z","title_canon_sha256":"9898a55746d3d8ee197ad38e54f265e998bdde95fe0eade902871f38020ba4b9"},"schema_version":"1.0","source":{"id":"nlin/0103029","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0103029","created_at":"2026-07-04T16:28:18Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0103029v2","created_at":"2026-07-04T16:28:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0103029","created_at":"2026-07-04T16:28:18Z"},{"alias_kind":"pith_short_12","alias_value":"TAMNACVKXM6E","created_at":"2026-07-04T16:28:18Z"},{"alias_kind":"pith_short_16","alias_value":"TAMNACVKXM6E5U3Y","created_at":"2026-07-04T16:28:18Z"},{"alias_kind":"pith_short_8","alias_value":"TAMNACVK","created_at":"2026-07-04T16:28:18Z"}],"graph_snapshots":[{"event_id":"sha256:0fd604cef26a4622f6991afdf50bb54651671b559b7107921718daa157624f71","target":"graph","created_at":"2026-07-04T16:28:18Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/nlin/0103029/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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.","authors_text":"Jeremie Bec","cross_cats":["cond-mat"],"headline":"","license":"","primary_cat":"nlin.CD","submitted_at":"2001-03-20T17:42:33Z","title":"Universality of Velocity Gradients in Forced Burgers Turbulence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0103029","kind":"arxiv","version":2},"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:c1cc5fb6b4945070834ae493731edcbd2d24f24e2befb2fd5624d1862fdb8931","target":"record","created_at":"2026-07-04T16:28:18Z","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":"50e3b9785459bff7890b677ec27865fa5100f42517be9e43dce2012e3e3522d3","cross_cats_sorted":["cond-mat"],"license":"","primary_cat":"nlin.CD","submitted_at":"2001-03-20T17:42:33Z","title_canon_sha256":"9898a55746d3d8ee197ad38e54f265e998bdde95fe0eade902871f38020ba4b9"},"schema_version":"1.0","source":{"id":"nlin/0103029","kind":"arxiv","version":2}},"canonical_sha256":"9818d00aaabb3c4ed3787a563f2c7bc3a298a439648162e39bd12ff43923eda0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9818d00aaabb3c4ed3787a563f2c7bc3a298a439648162e39bd12ff43923eda0","first_computed_at":"2026-07-04T16:28:18.559479Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:28:18.559479Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gNfCtaSHxR5lyNoQ0T8FBWCqoXgXNA2+z48VFiXEy/ScHDLPsFzFMY53NJ7WUPuYLTdIvrkyjQ5ebPFyVVpVBA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:28:18.559894Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0103029","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1cc5fb6b4945070834ae493731edcbd2d24f24e2befb2fd5624d1862fdb8931","sha256:0fd604cef26a4622f6991afdf50bb54651671b559b7107921718daa157624f71"],"state_sha256":"baa206a850b4335b4054db088638fce4d638036d70a1b0b51359988ca54488b4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sgB9/+Ts0fCnRn5wLiHaPsTZZhlRgsBPfUPtBNDmqbkxhhNbNL8fOmlMio+bXwvls8NdUvUqm50Hv9rNrcZ7Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T20:14:45.259353Z","bundle_sha256":"89a066e5c49108924175e01f1c4708f0f2b6c6f2a0b4fb5a20406c6f9df2e37a"}}