{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:OXAFYXSYEI6SIINTCUE5INPXW6","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":"26a349b32b7df4614594b971b3bfa4d0bb89a36aeba1068a3d78742432164e0b","cross_cats_sorted":["astro-ph.CO","astro-ph.SR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-07-04T17:20:04Z","title_canon_sha256":"8bd0ebf3ceab0e931c67ed6906ddf89008677f9384805a84195d297e8c917f59"},"schema_version":"1.0","source":{"id":"1607.01360","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.01360","created_at":"2026-05-18T00:51:25Z"},{"alias_kind":"arxiv_version","alias_value":"1607.01360v3","created_at":"2026-05-18T00:51:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.01360","created_at":"2026-05-18T00:51:25Z"},{"alias_kind":"pith_short_12","alias_value":"OXAFYXSYEI6S","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OXAFYXSYEI6SIINT","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OXAFYXSY","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:5e6ed23c0f292d1b211f397f7ce26e3796659812c7e3f62b4f6d315e45490179","target":"graph","created_at":"2026-05-18T00:51:25Z","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 perform numerical simulations of decaying hydrodynamic and magnetohydrodynamic turbulence. We classify our time-dependent solutions by their evolutionary tracks in parametric plots between instantaneous scaling exponents. We find distinct classes of solutions evolving along specific trajectories toward points on a line of self-similar solutions. These trajectories are determined by the underlying physics governing individual cases, while the infrared slope of the initial conditions plays only a limited role. In the helical case, even for a scale-invariant initial spectrum (inversely proport","authors_text":"Axel Brandenburg, Tina Kahniashvili","cross_cats":["astro-ph.CO","astro-ph.SR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-07-04T17:20:04Z","title":"Classes of hydrodynamic and magnetohydrodynamic turbulent decay"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.01360","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":"sha256:193558f0a237b0ee2f9f27655b17990cae93375100629cba98434788484e486a","target":"record","created_at":"2026-05-18T00:51:25Z","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":"26a349b32b7df4614594b971b3bfa4d0bb89a36aeba1068a3d78742432164e0b","cross_cats_sorted":["astro-ph.CO","astro-ph.SR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-07-04T17:20:04Z","title_canon_sha256":"8bd0ebf3ceab0e931c67ed6906ddf89008677f9384805a84195d297e8c917f59"},"schema_version":"1.0","source":{"id":"1607.01360","kind":"arxiv","version":3}},"canonical_sha256":"75c05c5e58223d2421b31509d435f7b7a5473bafeb06c9e24e250595e3521ba6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"75c05c5e58223d2421b31509d435f7b7a5473bafeb06c9e24e250595e3521ba6","first_computed_at":"2026-05-18T00:51:25.510709Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:25.510709Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BM1AJtnMeCZ0kGWG/BYIYE4K8nCh6eK3t7lWUOd0Ff1O41/SIT2xziy1w+imOLczcOzLrbmqAi6AhDXtnn3+CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:25.511301Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.01360","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:193558f0a237b0ee2f9f27655b17990cae93375100629cba98434788484e486a","sha256:5e6ed23c0f292d1b211f397f7ce26e3796659812c7e3f62b4f6d315e45490179"],"state_sha256":"5a7accce9fc04daf17f1fa3a929d67ac45bc9c5fc1afe153ba798a9c7316bcb7"}