{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:4M7OV6QB7D7AZCBQCWO6BU3JA2","short_pith_number":"pith:4M7OV6QB","schema_version":"1.0","canonical_sha256":"e33eeafa01f8fe0c8830159de0d36906b13683f375bfc6c12e6143b9c4d9a94b","source":{"kind":"arxiv","id":"2605.17614","version":1},"attestation_state":"computed","paper":{"title":"Shear alignment and tensorial Taylor--Aris dispersion of Brownian rods in a circular tube","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Shear alignment of Brownian rods in tube flow raises the Taylor-Aris dispersion coefficient by up to 30 percent in strong shear.","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Jingsen Feng, Xu Chu","submitted_at":"2026-05-17T19:20:17Z","abstract_excerpt":"Brownian rods disperse in pressure-driven flow through a coupling between axial shear, anisotropic translational diffusion and Jeffery--Brownian rotation. Classical tube Taylor--Aris theory treats transverse mixing as a scalar process, and existing passive-rod reductions have mainly addressed planar geometries. A circular tube adds two ingredients: the shear strength varies with radius and freely rotating rods sample a three-dimensional orientation space. We formulate a tensorial Taylor--Aris theory for dilute axisymmetric rods in Poiseuille flow by solving the local steady orientation Fokker-"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":true,"formal_links_present":true},"canonical_record":{"source":{"id":"2605.17614","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-05-17T19:20:17Z","cross_cats_sorted":[],"title_canon_sha256":"3f867c3a8a89de651cad777e2cf34ad41f95ed387d50e875180c498feac7a332","abstract_canon_sha256":"220ea2b20ce92a665a4c533a226a0f9012918d1aa12ef8e09e5ebc454e1ff117"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:04:48.621272Z","signature_b64":"0FXafE0wq05Ogfw8SZNs7+72Bbqh3Ow997t14REFHhyEJnz5UlIWKqhkjW3h+mY+yKEpMw9H9jH/APt8kmenAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e33eeafa01f8fe0c8830159de0d36906b13683f375bfc6c12e6143b9c4d9a94b","last_reissued_at":"2026-05-20T00:04:48.620534Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:04:48.620534Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Shear alignment and tensorial Taylor--Aris dispersion of Brownian rods in a circular tube","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Shear alignment of Brownian rods in tube flow raises the Taylor-Aris dispersion coefficient by up to 30 percent in strong shear.","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Jingsen Feng, Xu Chu","submitted_at":"2026-05-17T19:20:17Z","abstract_excerpt":"Brownian rods disperse in pressure-driven flow through a coupling between axial shear, anisotropic translational diffusion and Jeffery--Brownian rotation. Classical tube Taylor--Aris theory treats transverse mixing as a scalar process, and existing passive-rod reductions have mainly addressed planar geometries. A circular tube adds two ingredients: the shear strength varies with radius and freely rotating rods sample a three-dimensional orientation space. We formulate a tensorial Taylor--Aris theory for dilute axisymmetric rods in Poiseuille flow by solving the local steady orientation Fokker-"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"In strong shear this raises the Taylor coefficient by about 23% for aspect ratio p=1000 and by about 30% in the infinitely slender limit, approaching the fully aligned bound.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The long-wave reduction assumes that the local steady orientation distribution (solved from the Fokker-Planck problem) can be used to close the conservative axisymmetric transport equation without higher-order corrections from radial gradients of the orientation field.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Tensorial Taylor-Aris theory for dilute Brownian rods in circular Poiseuille flow shows shear-induced alignment raises the effective Taylor dispersion coefficient by up to 30% in the slender limit.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Shear alignment of Brownian rods in tube flow raises the Taylor-Aris dispersion coefficient by up to 30 percent in strong shear.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"cb8fcc084661a8bf08ef1ab538dff6872b9df10b43918544e91969ccba0d8ead"},"source":{"id":"2605.17614","kind":"arxiv","version":1},"verdict":{"id":"2978720c-459d-463b-9f68-39626ec7d979","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T22:08:19.447311Z","strongest_claim":"In strong shear this raises the Taylor coefficient by about 23% for aspect ratio p=1000 and by about 30% in the infinitely slender limit, approaching the fully aligned bound.","one_line_summary":"Tensorial Taylor-Aris theory for dilute Brownian rods in circular Poiseuille flow shows shear-induced alignment raises the effective Taylor dispersion coefficient by up to 30% in the slender limit.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The long-wave reduction assumes that the local steady orientation distribution (solved from the Fokker-Planck problem) can be used to close the conservative axisymmetric transport equation without higher-order corrections from radial gradients of the orientation field.","pith_extraction_headline":"Shear alignment of Brownian rods in tube flow raises the Taylor-Aris dispersion coefficient by up to 30 percent in strong shear."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.17614/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"cited_work_retraction","ran_at":"2026-05-19T22:53:08.236050Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-19T22:31:19.522610Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T22:21:36.067579Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T21:33:23.567712Z","status":"skipped","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T21:21:57.494790Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"c3a1378df4cd1512f2b544dc2402459fed5e98a97c8b18ccfe62ae62bf827b1e"},"references":{"count":51,"sample":[{"doi":"10.1017/jfm.2022.321","year":2022,"title":"M., Shim, S., Gupta, A","work_id":"83c74f6d-7744-4c93-b021-dc070f770a1b","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1063/5.0057584","year":2021,"title":"Alexandre, A., Gu \\'e rin, T. & Dean, D. S. 2021 Generalized Taylor dispersion for translationally invariant microfluidic systems. Phys. Fluids 33, 082004. doi:10.1063/5.0057584 https://doi.org/10.106","work_id":"cb89f232-2c02-4175-9e3a-4e62085a0361","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1126/science.aag0532","year":2016,"title":"Aminian, M., Bernardi, F., Camassa, R., Harris, D. M. & McLaughlin, R. M. 2016 How boundaries shape chemical delivery in microfluidics. Science 354, 1252--1256. doi:10.1126/science.aag0532 https://doi","work_id":"87781b61-f9ef-4bde-8e7c-540a763bc334","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1098/rspa.1956.0065","year":1956,"title":"Aris ,\\ title title On the dispersion of a solute in a fluid flowing through a tube ,\\ https://doi.org/10.1098/rspa.1956.0065 journal journal Proc","work_id":"90893696-8eab-4a0e-a582-562445ad9f32","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1016/0301-9322(74)90018-4","year":1974,"title":"1974 Rheology of a dilute suspension of axisymmetric Brownian particles","work_id":"b5e79c37-755f-4699-8e8c-a517c15c8fdf","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":51,"snapshot_sha256":"b6ff0f561b664638d550dc8174898974ac2b837cd96bb61b63bfb243e7c20b52","internal_anchors":0},"formal_canon":{"evidence_count":1,"snapshot_sha256":"36043ec3616e3b93a32813cc70bc52371cedd5cf34898922236cb31d71366559"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2605.17614","created_at":"2026-05-20T00:04:48.620657+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.17614v1","created_at":"2026-05-20T00:04:48.620657+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.17614","created_at":"2026-05-20T00:04:48.620657+00:00"},{"alias_kind":"pith_short_12","alias_value":"4M7OV6QB7D7A","created_at":"2026-05-20T00:04:48.620657+00:00"},{"alias_kind":"pith_short_16","alias_value":"4M7OV6QB7D7AZCBQ","created_at":"2026-05-20T00:04:48.620657+00:00"},{"alias_kind":"pith_short_8","alias_value":"4M7OV6QB","created_at":"2026-05-20T00:04:48.620657+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.22982","citing_title":"Transient and asymptotic Taylor--Aris dispersion of Brownian rods in arbitrary regular-polygonal ducts","ref_index":15,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":1,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4M7OV6QB7D7AZCBQCWO6BU3JA2","json":"https://pith.science/pith/4M7OV6QB7D7AZCBQCWO6BU3JA2.json","graph_json":"https://pith.science/api/pith-number/4M7OV6QB7D7AZCBQCWO6BU3JA2/graph.json","events_json":"https://pith.science/api/pith-number/4M7OV6QB7D7AZCBQCWO6BU3JA2/events.json","paper":"https://pith.science/paper/4M7OV6QB"},"agent_actions":{"view_html":"https://pith.science/pith/4M7OV6QB7D7AZCBQCWO6BU3JA2","download_json":"https://pith.science/pith/4M7OV6QB7D7AZCBQCWO6BU3JA2.json","view_paper":"https://pith.science/paper/4M7OV6QB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.17614&json=true","fetch_graph":"https://pith.science/api/pith-number/4M7OV6QB7D7AZCBQCWO6BU3JA2/graph.json","fetch_events":"https://pith.science/api/pith-number/4M7OV6QB7D7AZCBQCWO6BU3JA2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4M7OV6QB7D7AZCBQCWO6BU3JA2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4M7OV6QB7D7AZCBQCWO6BU3JA2/action/storage_attestation","attest_author":"https://pith.science/pith/4M7OV6QB7D7AZCBQCWO6BU3JA2/action/author_attestation","sign_citation":"https://pith.science/pith/4M7OV6QB7D7AZCBQCWO6BU3JA2/action/citation_signature","submit_replication":"https://pith.science/pith/4M7OV6QB7D7AZCBQCWO6BU3JA2/action/replication_record"}},"created_at":"2026-05-20T00:04:48.620657+00:00","updated_at":"2026-05-20T00:04:48.620657+00:00"}