{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:O6PJERTYWYRFEMGBDPX6XY4EYD","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":"990f5821c69d874dfdf9ba822afe269f24999b0c950cda481fe50db4b7bfeddf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-09-15T09:04:33Z","title_canon_sha256":"3454533f9484d47cfc2183c988bf5044c80a7d67730fd5e19aef78fa7a3990c4"},"schema_version":"1.0","source":{"id":"1509.04450","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.04450","created_at":"2026-05-18T01:17:00Z"},{"alias_kind":"arxiv_version","alias_value":"1509.04450v3","created_at":"2026-05-18T01:17:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.04450","created_at":"2026-05-18T01:17:00Z"},{"alias_kind":"pith_short_12","alias_value":"O6PJERTYWYRF","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"O6PJERTYWYRFEMGB","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"O6PJERTY","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:3a053d1c28fa2be5c445729b99b61077071a3afa65201503da2c61de386331d0","target":"graph","created_at":"2026-05-18T01:17:00Z","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 present a phenomenological study of the phase dynamics of the one-dimensional stochastically forced Burgers equation, and of the same equation under a Fourier mode reduction on a fractal set. We study the connection between coherent structures in real space and the evolution of triads in Fourier space. Concerning the one-dimensional case, we find that triad phases show alignments and synchronisations that favour energy fluxes towards small scales --a direct cascade. In addition, strongly dissipative real-space structures are associated with entangled correlations amongst the phase precessio","authors_text":"Brendan P. Murray, Luca Biferale, Michele Buzzicotti, Miguel D. Bustamante","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-09-15T09:04:33Z","title":"Phase and precession evolution in the Burgers equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.04450","kind":"arxiv","version":3},"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:d9d8ab9a52718d218952c27ec4f62dfafc6043efec46e8947006c4190b884fb9","target":"record","created_at":"2026-05-18T01:17:00Z","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":"990f5821c69d874dfdf9ba822afe269f24999b0c950cda481fe50db4b7bfeddf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-09-15T09:04:33Z","title_canon_sha256":"3454533f9484d47cfc2183c988bf5044c80a7d67730fd5e19aef78fa7a3990c4"},"schema_version":"1.0","source":{"id":"1509.04450","kind":"arxiv","version":3}},"canonical_sha256":"779e924678b6225230c11befebe384c0e2dc62b7d26d4205f37b4a9343edb484","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"779e924678b6225230c11befebe384c0e2dc62b7d26d4205f37b4a9343edb484","first_computed_at":"2026-05-18T01:17:00.310139Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:00.310139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QJqjlqGDbRmSKCg2XrmH5emS5AcZppbZkwLYf9dXeuBzBp+XJ7sGrbecIypTx5Ko0f2XU+lmks19stTx/EGQCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:00.310730Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.04450","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d9d8ab9a52718d218952c27ec4f62dfafc6043efec46e8947006c4190b884fb9","sha256:3a053d1c28fa2be5c445729b99b61077071a3afa65201503da2c61de386331d0"],"state_sha256":"d2dd85d47b1a4eed71ab3d0e5b21873a136c9346bac638afec0869db091aa767"}