{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:L7MGTCBG2WKTQLDCPNVOC5KVPW","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":"45f8cdd00001b5336ea00521b04cb6450041e99d36bf0c0b910a2095edfa56c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2020-03-10T10:03:50Z","title_canon_sha256":"f4211c15e7bda391f3c722889411c0d91ea9ab52da9d7446823aa905add6a318"},"schema_version":"1.0","source":{"id":"2003.04613","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.04613","created_at":"2026-07-05T00:47:05Z"},{"alias_kind":"arxiv_version","alias_value":"2003.04613v1","created_at":"2026-07-05T00:47:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.04613","created_at":"2026-07-05T00:47:05Z"},{"alias_kind":"pith_short_12","alias_value":"L7MGTCBG2WKT","created_at":"2026-07-05T00:47:05Z"},{"alias_kind":"pith_short_16","alias_value":"L7MGTCBG2WKTQLDC","created_at":"2026-07-05T00:47:05Z"},{"alias_kind":"pith_short_8","alias_value":"L7MGTCBG","created_at":"2026-07-05T00:47:05Z"}],"graph_snapshots":[{"event_id":"sha256:d7e8f92b8e019507f80d3a58fc7d484c84c1e3d5e3bd9493d630c868cd0f6e5e","target":"graph","created_at":"2026-07-05T00:47:05Z","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/2003.04613/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study stationary solutions in the differential kinetic equation, which was introduced in for description of a local dual cascade wave turbulence. We give a full classification of single-cascade states in which there is a finite flux of only one conserved quantity. Analysis of the steady-state spectrum is based on a phase-space analysis of orbits of the underlying dynamical system. The orbits of the dynamical system demonstrate the blow-up behaviour which corresponds to a \"sharp front\" where the spectrum vanishes at a finite wave number. The roles of the KZ and thermodynamic scaling as inter","authors_text":"B. V. Semisalov, S. B. Medvedev, S. V. Nazarenko, V. N. Grebenev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2020-03-10T10:03:50Z","title":"Steady states in dual-cascade wave turbulence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.04613","kind":"arxiv","version":1},"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":"sha256:1bf29b637a3118b4e3935eac1455a03aa1c969033b5995f04418d84c4d90f689","target":"record","created_at":"2026-07-05T00:47:05Z","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":"45f8cdd00001b5336ea00521b04cb6450041e99d36bf0c0b910a2095edfa56c9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2020-03-10T10:03:50Z","title_canon_sha256":"f4211c15e7bda391f3c722889411c0d91ea9ab52da9d7446823aa905add6a318"},"schema_version":"1.0","source":{"id":"2003.04613","kind":"arxiv","version":1}},"canonical_sha256":"5fd8698826d595382c627b6ae175557db815012303165b96a267136eb149187c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5fd8698826d595382c627b6ae175557db815012303165b96a267136eb149187c","first_computed_at":"2026-07-05T00:47:05.814616Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:47:05.814616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TitmpWQCwD0l+DJQyKfktpkQq0fxYsQtSqikcQpvVij2B18jqsoZcX5fM0jfHiHuYm4Ouwg6CJxv0xQan8KDCw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:47:05.815067Z","signed_message":"canonical_sha256_bytes"},"source_id":"2003.04613","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1bf29b637a3118b4e3935eac1455a03aa1c969033b5995f04418d84c4d90f689","sha256:d7e8f92b8e019507f80d3a58fc7d484c84c1e3d5e3bd9493d630c868cd0f6e5e"],"state_sha256":"d2ea97fcc898b278f83252762e3da0b676a7c1e57004a07b0a23f860b8061100"}