{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:6UJP4LYAAT2II2OCMU4JMT256V","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":"07b519f778c163650df6fc8389c064081ec091b7aa44c2f88050f62ca44154fe","cross_cats_sorted":["physics.flu-dyn"],"license":"","primary_cat":"physics.plasm-ph","submitted_at":"2007-02-14T13:53:00Z","title_canon_sha256":"8b6d5f3a13ebf3567a71a0f7aaeb74f3462248a437b66ce4dbc02f70c97f9db3"},"schema_version":"1.0","source":{"id":"physics/0702115","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0702115","created_at":"2026-05-18T01:38:04Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0702115v1","created_at":"2026-05-18T01:38:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0702115","created_at":"2026-05-18T01:38:04Z"},{"alias_kind":"pith_short_12","alias_value":"6UJP4LYAAT2I","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"6UJP4LYAAT2II2OC","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"6UJP4LYA","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:cbba74907d165c3b947d5b5dfcd548ea9c0501ef71fa2bd6ac61e1692333d455","target":"graph","created_at":"2026-05-18T01:38:04Z","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 report on a comparison of high-resolution numerical simulations of Lagrangian particles advected by incompressible turbulent hydro- and magnetohydrodynamic (MHD) flows. Numerical simulations were performed with up to $1024^3$ collocation points and 10 million particles in the Navier-Stokes case and $512^3$ collocation points and 1 million particles in the MHD case. In the hydrodynamics case our findings compare with recent experiments from Mordant et al. [1] and Xu et al. [2]. They differ from the simulations of Biferale et al. [3] due to differences of the ranges choosen for evaluating the","authors_text":"A. Busse, H.Homann, R. Grauer, W.C. M\\\"uller","cross_cats":["physics.flu-dyn"],"headline":"","license":"","primary_cat":"physics.plasm-ph","submitted_at":"2007-02-14T13:53:00Z","title":"Lagrangian Statistics of Navier-Stokes- and MHD-Turbulence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0702115","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:a266728d20c5d2eac1b54005d0aa3ba62a3a5d698fc2509c19c899ff04ee52a3","target":"record","created_at":"2026-05-18T01:38:04Z","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":"07b519f778c163650df6fc8389c064081ec091b7aa44c2f88050f62ca44154fe","cross_cats_sorted":["physics.flu-dyn"],"license":"","primary_cat":"physics.plasm-ph","submitted_at":"2007-02-14T13:53:00Z","title_canon_sha256":"8b6d5f3a13ebf3567a71a0f7aaeb74f3462248a437b66ce4dbc02f70c97f9db3"},"schema_version":"1.0","source":{"id":"physics/0702115","kind":"arxiv","version":1}},"canonical_sha256":"f512fe2f0004f48469c26538964f5df5750127ecb2eacc57e4b8ca4d0c3c6ef9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f512fe2f0004f48469c26538964f5df5750127ecb2eacc57e4b8ca4d0c3c6ef9","first_computed_at":"2026-05-18T01:38:04.711124Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:04.711124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B3dKQXD7WcHerfu8ARpPmyHO/On/uoO3FrdPCESMooHpAIdVtQMRMqUvAEw3lVpCnWjg5XwkNZf6jBDcy05bAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:04.711645Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/0702115","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a266728d20c5d2eac1b54005d0aa3ba62a3a5d698fc2509c19c899ff04ee52a3","sha256:cbba74907d165c3b947d5b5dfcd548ea9c0501ef71fa2bd6ac61e1692333d455"],"state_sha256":"31afdac9b60758c2539e113e6a7eb14c4de04b8d20b56fbab9f5a418bc8c5a15"}