{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4VUYIUVBMQIXAHZG6LREKGAPEI","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":"d579883704ccabe644f6d84a90f8798cca86d63dc0f5f3f8baa0dc7599840443","cross_cats_sorted":["physics.flu-dyn","q-bio.CB"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2012-05-02T15:04:51Z","title_canon_sha256":"472e4a570f68277dd762af23b6628d979c1c10cc2aa64882f0dce5dc774068b7"},"schema_version":"1.0","source":{"id":"1205.0453","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.0453","created_at":"2026-05-18T03:32:28Z"},{"alias_kind":"arxiv_version","alias_value":"1205.0453v1","created_at":"2026-05-18T03:32:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.0453","created_at":"2026-05-18T03:32:28Z"},{"alias_kind":"pith_short_12","alias_value":"4VUYIUVBMQIX","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4VUYIUVBMQIXAHZG","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4VUYIUVB","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:baf1def7c95c20d36208742a218561932d23465de8163cbe606644cbb045db67","target":"graph","created_at":"2026-05-18T03:32:28Z","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":"There is much current interest in modelling suspensions of algae and other micro-organisms for biotechnological exploitation, and many bioreactors are of tubular design. Using generalized Taylor dispersion theory, we develop a population-level swimming-advection-diffusion model for suspensions of micro-organisms in a vertical pipe flow. In particular, a combination of gravitational and viscous torques acting on individual cells can affect their swimming behaviour, which is termed gyrotaxis. This typically leads to local cell drift and diffusion in a suspension of cells. In a flow in a pipe, sm","authors_text":"M. A. Bees, O. A. Croze, R. N. Bearon","cross_cats":["physics.flu-dyn","q-bio.CB"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2012-05-02T15:04:51Z","title":"Biased swimming cells do not disperse in pipes as tracers: a population model based on microscale behaviour"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.0453","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":"sha256:95b763b24bd6954c820bacf0b938e3d6769651b33792fa22d731d4a33b412cd5","target":"record","created_at":"2026-05-18T03:32:28Z","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":"d579883704ccabe644f6d84a90f8798cca86d63dc0f5f3f8baa0dc7599840443","cross_cats_sorted":["physics.flu-dyn","q-bio.CB"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2012-05-02T15:04:51Z","title_canon_sha256":"472e4a570f68277dd762af23b6628d979c1c10cc2aa64882f0dce5dc774068b7"},"schema_version":"1.0","source":{"id":"1205.0453","kind":"arxiv","version":1}},"canonical_sha256":"e5698452a16411701f26f2e245180f22326c16860965fdf68a8d8e85e98e5bc3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e5698452a16411701f26f2e245180f22326c16860965fdf68a8d8e85e98e5bc3","first_computed_at":"2026-05-18T03:32:28.533739Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:32:28.533739Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TMfi+DM5Xe31y41uVxQN7bOyGaWAWa2z57zsHoQeZoIAf3Jj4eptIQWS+JM3LrfJBm0X56kXD78dMg2vGmw+BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:32:28.534446Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.0453","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95b763b24bd6954c820bacf0b938e3d6769651b33792fa22d731d4a33b412cd5","sha256:baf1def7c95c20d36208742a218561932d23465de8163cbe606644cbb045db67"],"state_sha256":"d457588b4bec899e59a7fe495665f4a2b2c9b7dacbd4b1c6734daa940d59c79a"}