{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:DXQ7WCFKJYCHGDLHRLS5LGU2YM","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":"36829f40a16add6a291075778465fc41668d06d23de6f617a7fa6315b5505b49","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-06-12T15:43:31Z","title_canon_sha256":"1a15dc79c26acd916490d473fbd566b021be6bd6a41757dcfdbcbcfb941c31fb"},"schema_version":"1.0","source":{"id":"1206.2570","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.2570","created_at":"2026-05-18T03:53:44Z"},{"alias_kind":"arxiv_version","alias_value":"1206.2570v1","created_at":"2026-05-18T03:53:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.2570","created_at":"2026-05-18T03:53:44Z"},{"alias_kind":"pith_short_12","alias_value":"DXQ7WCFKJYCH","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"DXQ7WCFKJYCHGDLH","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"DXQ7WCFK","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:8868a18ee0d286594cda7d864ef504c21224b0b3c07970d308c0ae6b4b66c8fc","target":"graph","created_at":"2026-05-18T03:53:44Z","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 study the spatial distribution of gyrotactic microorganisms transported by a three-dimensional turbulent flow generated by direct numerical simulations. We find that gyrotaxis combines with turbulent fluctuations to produce small scales (multi-)fractal clustering. We explain this result by showing that gyrotactic swimming cells behave like tracers in a compressible flow. The effective compressibility is derived in the limits of fluid acceleration much larger and smaller than the gravity.","authors_text":"Filippo De Lillo, Guido Boffetta, Massimo Cencini","cross_cats":["physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-06-12T15:43:31Z","title":"Clustering of gyrotactic microorganisms in turbulent flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.2570","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:be2ea440bddbb72697a437885880587f87085a83c893def072fb2dcb645453f3","target":"record","created_at":"2026-05-18T03:53:44Z","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":"36829f40a16add6a291075778465fc41668d06d23de6f617a7fa6315b5505b49","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2012-06-12T15:43:31Z","title_canon_sha256":"1a15dc79c26acd916490d473fbd566b021be6bd6a41757dcfdbcbcfb941c31fb"},"schema_version":"1.0","source":{"id":"1206.2570","kind":"arxiv","version":1}},"canonical_sha256":"1de1fb08aa4e04730d678ae5d59a9ac33d54ace0b4edbbfc4a0b555c119de3db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1de1fb08aa4e04730d678ae5d59a9ac33d54ace0b4edbbfc4a0b555c119de3db","first_computed_at":"2026-05-18T03:53:44.147690Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:53:44.147690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"koeP/glLtx1c5TFN+27N9A2WK+v9JJusNvMm1KgxS+n9hnGPQiIQCxNy8PtamQFmKcxZcAHH6Q4H8IGvqTHeCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:53:44.148187Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.2570","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be2ea440bddbb72697a437885880587f87085a83c893def072fb2dcb645453f3","sha256:8868a18ee0d286594cda7d864ef504c21224b0b3c07970d308c0ae6b4b66c8fc"],"state_sha256":"4c8dcfffd59ed0cbab39de3d4190d9bdb41ddd5ea45f7c2450a42301a7da54ec"}