{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:5TOQVR7RE4E6FDGR4FCY7HNKVH","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":"e90255d99792ce0feca0c090c61f52830feb2a4e25a23aca94a5d41346ca03f4","cross_cats_sorted":["nlin.PS","physics.geo-ph","physics.plasm-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-12-10T12:24:52Z","title_canon_sha256":"bd7f2ecd0a31bf3a354c8ece7211bc610623f0e027fd933647198ea7abe87919"},"schema_version":"1.0","source":{"id":"1812.03752","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.03752","created_at":"2026-05-17T23:58:43Z"},{"alias_kind":"arxiv_version","alias_value":"1812.03752v1","created_at":"2026-05-17T23:58:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.03752","created_at":"2026-05-17T23:58:43Z"},{"alias_kind":"pith_short_12","alias_value":"5TOQVR7RE4E6","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5TOQVR7RE4E6FDGR","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5TOQVR7R","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:f343bd3b68eab15fa096b76966a3d50cd5e4967a8686b9f96103ae8d5e0b8fdb","target":"graph","created_at":"2026-05-17T23:58:43Z","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":"The vorticity rotor field ${\\bf B}=\\mbox{rot}\\,\\mathbf{\\omega}$ (di-vorticity) for freely decaying two-dimensional hydrodynamic turbulence due to a tendency to breaking is concentrated in the vicinity of the lines corresponding to the position of the vorticity quasi-shocks. The maximum value of the di-vorticity $B_{max}$ at the stage of quasi-shocks formation increases exponentially in time, while the thickness $\\ell(t)$ of the maximum area in the transverse direction to the vector ${\\bf B}$ decreases in time also exponentially. It is numerically shown that $B_{max} (t)$ depends on the thickne","authors_text":"E.A. Kuznetsov, E.V. Sereshchenko","cross_cats":["nlin.PS","physics.geo-ph","physics.plasm-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-12-10T12:24:52Z","title":"Folding of the frozen-in-fluid di-vorticity field in two-dimensional hydrodynamic turbulence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.03752","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":"sha256:1939d894b300f2389ef96e544852ea5ed6169d1f5b4d240b25db346b5a5713a4","target":"record","created_at":"2026-05-17T23:58:43Z","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":"e90255d99792ce0feca0c090c61f52830feb2a4e25a23aca94a5d41346ca03f4","cross_cats_sorted":["nlin.PS","physics.geo-ph","physics.plasm-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-12-10T12:24:52Z","title_canon_sha256":"bd7f2ecd0a31bf3a354c8ece7211bc610623f0e027fd933647198ea7abe87919"},"schema_version":"1.0","source":{"id":"1812.03752","kind":"arxiv","version":1}},"canonical_sha256":"ecdd0ac7f12709e28cd1e1458f9daaa9fc86551088e9268da37d2fd40cc21b7f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ecdd0ac7f12709e28cd1e1458f9daaa9fc86551088e9268da37d2fd40cc21b7f","first_computed_at":"2026-05-17T23:58:43.949050Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:43.949050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lJ1PoUwdXB1B+wW72q5CD2mb/KNpoV2w1hilZ68DNFPY/sPki7wJ81V/MDl3ilvCT0Fwhh7XLtOcfQEt9mSYCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:43.949471Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.03752","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1939d894b300f2389ef96e544852ea5ed6169d1f5b4d240b25db346b5a5713a4","sha256:f343bd3b68eab15fa096b76966a3d50cd5e4967a8686b9f96103ae8d5e0b8fdb"],"state_sha256":"c9e3c7127c83f4aea8342ee6ccedd2c11dda865acb92949e1251d3e211160809"}