{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HNUJVITB5JVEA36MKSSHW35IQD","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":"b1e64889a833fd0e7a807280a1c71850f817c94f277a7b3dbc2f5a552c4ba4f1","cross_cats_sorted":["cond-mat.stat-mech","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-09-20T05:03:07Z","title_canon_sha256":"f8d39b46faf9a34318cd60fbbd05d3504a430dcc917a9c4e87c040c2c9af5901"},"schema_version":"1.0","source":{"id":"1409.5856","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.5856","created_at":"2026-05-18T02:39:00Z"},{"alias_kind":"arxiv_version","alias_value":"1409.5856v4","created_at":"2026-05-18T02:39:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5856","created_at":"2026-05-18T02:39:00Z"},{"alias_kind":"pith_short_12","alias_value":"HNUJVITB5JVE","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HNUJVITB5JVEA36M","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HNUJVITB","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:127ac5af651267a3c6c8246fc16f3143beaadd4f4c08c2140e226ed521cf2e11","target":"graph","created_at":"2026-05-18T02:39:00Z","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 solve the problem of spatial distribution of inertial particles that sediment in Navier-Stokes turbulence with small ratio $Fr$ of acceleration of fluid particles to acceleration of gravity $g$. The particles are driven by linear drag and have arbitrary inertia. We demonstrate that independently of the particles' size or density the particles distribute over fractal set with log-normal statistics determined completely by the Kaplan-Yorke dimension $D_{KY}$. When inertia is not small $D_{KY}$ is proportional to the ratio of integral of spectrum of turbulence multiplied by wave-number and $g$","authors_text":"Changhoon Lee, Itzhak Fouxon, Roei Harduf, Yongnam Park","cross_cats":["cond-mat.stat-mech","nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-09-20T05:03:07Z","title":"Universal statistics of density of inertial particles sedimenting in turbulence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5856","kind":"arxiv","version":4},"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:c1485b96d958c8f62cf39d347d7b645553e055b440f60a51214b775f7297ea0e","target":"record","created_at":"2026-05-18T02:39:00Z","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":"b1e64889a833fd0e7a807280a1c71850f817c94f277a7b3dbc2f5a552c4ba4f1","cross_cats_sorted":["cond-mat.stat-mech","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-09-20T05:03:07Z","title_canon_sha256":"f8d39b46faf9a34318cd60fbbd05d3504a430dcc917a9c4e87c040c2c9af5901"},"schema_version":"1.0","source":{"id":"1409.5856","kind":"arxiv","version":4}},"canonical_sha256":"3b689aa261ea6a406fcc54a47b6fa880e42ab84e81ab4e54d79010f622f8701d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b689aa261ea6a406fcc54a47b6fa880e42ab84e81ab4e54d79010f622f8701d","first_computed_at":"2026-05-18T02:39:00.671929Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:00.671929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t7AmmTQreBS2fOinSaLBjkCjLDT9kQna8tbsGcAA2nYi/WIUy+1WGHzVIht3k9qh0x19r4Ca3g/jTl8IbyURAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:00.672611Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.5856","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1485b96d958c8f62cf39d347d7b645553e055b440f60a51214b775f7297ea0e","sha256:127ac5af651267a3c6c8246fc16f3143beaadd4f4c08c2140e226ed521cf2e11"],"state_sha256":"4b1d26c2c5903dd372859398f714122fd461d8e9f930fbbb8b89d5cf93016c1f"}