{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:OZGQXTOVQDOGSEVAWLHINOL6HA","short_pith_number":"pith:OZGQXTOV","schema_version":"1.0","canonical_sha256":"764d0bcdd580dc6912a0b2ce86b97e3830bcd0e74672f7f478cf3d2ed3789e2c","source":{"kind":"arxiv","id":"2607.01533","version":1},"attestation_state":"computed","paper":{"title":"Two-dimensional simulations of hydrodynamic spin coupling in a two-rotor corral","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Jiwen He, Tsorng-Whay Pan","submitted_at":"2026-07-01T23:21:35Z","abstract_excerpt":"We study hydrodynamic spin coupling in a two-rotor corral using DNS of 2D incompressible viscous fluid flow. An active rotor is driven at angular velocity W, and a nearby torque-free passive rotor selects an angular velocity w through hydrodynamic torque balance. The signed gear ratio Gamma=w/W distinguishes corotation from counterrotation, with Reynolds number Re=|\\Omega|r^2/\\nu. Motivated by a recent quasi-two-dimensional experiment, we use a DLM/FD method to compute planar phase diagrams of $\\Gamma(G,Re)$ at corral sizes C=3, 4.5, and 6. The planar model recovers the benchmark gap route at "},"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":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2607.01533","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-07-01T23:21:35Z","cross_cats_sorted":[],"title_canon_sha256":"e27328c01d08c3136948d17a4f3e367adb7fc4ba799913154a488e3aa3a8d93f","abstract_canon_sha256":"d664074e69818b84678ea3154a69149830e9fc73b47001542dc9d67604031e18"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-03T00:17:03.346793Z","signature_b64":"9LYSQOntr4G8rUKdh/GVthprxnbk/b/qIqHY9kKdO/DJ5R/IAM5ucXUvwz39dxn/PWKxK3UbevTDAkrZmKEOAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"764d0bcdd580dc6912a0b2ce86b97e3830bcd0e74672f7f478cf3d2ed3789e2c","last_reissued_at":"2026-07-03T00:17:03.346402Z","signature_status":"signed_v1","first_computed_at":"2026-07-03T00:17:03.346402Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Two-dimensional simulations of hydrodynamic spin coupling in a two-rotor corral","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Jiwen He, Tsorng-Whay Pan","submitted_at":"2026-07-01T23:21:35Z","abstract_excerpt":"We study hydrodynamic spin coupling in a two-rotor corral using DNS of 2D incompressible viscous fluid flow. An active rotor is driven at angular velocity W, and a nearby torque-free passive rotor selects an angular velocity w through hydrodynamic torque balance. The signed gear ratio Gamma=w/W distinguishes corotation from counterrotation, with Reynolds number Re=|\\Omega|r^2/\\nu. Motivated by a recent quasi-two-dimensional experiment, we use a DLM/FD method to compute planar phase diagrams of $\\Gamma(G,Re)$ at corral sizes C=3, 4.5, and 6. The planar model recovers the benchmark gap route at "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.01533","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.01533/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"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":"2607.01533","created_at":"2026-07-03T00:17:03.346459+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.01533v1","created_at":"2026-07-03T00:17:03.346459+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.01533","created_at":"2026-07-03T00:17:03.346459+00:00"},{"alias_kind":"pith_short_12","alias_value":"OZGQXTOVQDOG","created_at":"2026-07-03T00:17:03.346459+00:00"},{"alias_kind":"pith_short_16","alias_value":"OZGQXTOVQDOGSEVA","created_at":"2026-07-03T00:17:03.346459+00:00"},{"alias_kind":"pith_short_8","alias_value":"OZGQXTOV","created_at":"2026-07-03T00:17:03.346459+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OZGQXTOVQDOGSEVAWLHINOL6HA","json":"https://pith.science/pith/OZGQXTOVQDOGSEVAWLHINOL6HA.json","graph_json":"https://pith.science/api/pith-number/OZGQXTOVQDOGSEVAWLHINOL6HA/graph.json","events_json":"https://pith.science/api/pith-number/OZGQXTOVQDOGSEVAWLHINOL6HA/events.json","paper":"https://pith.science/paper/OZGQXTOV"},"agent_actions":{"view_html":"https://pith.science/pith/OZGQXTOVQDOGSEVAWLHINOL6HA","download_json":"https://pith.science/pith/OZGQXTOVQDOGSEVAWLHINOL6HA.json","view_paper":"https://pith.science/paper/OZGQXTOV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.01533&json=true","fetch_graph":"https://pith.science/api/pith-number/OZGQXTOVQDOGSEVAWLHINOL6HA/graph.json","fetch_events":"https://pith.science/api/pith-number/OZGQXTOVQDOGSEVAWLHINOL6HA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OZGQXTOVQDOGSEVAWLHINOL6HA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OZGQXTOVQDOGSEVAWLHINOL6HA/action/storage_attestation","attest_author":"https://pith.science/pith/OZGQXTOVQDOGSEVAWLHINOL6HA/action/author_attestation","sign_citation":"https://pith.science/pith/OZGQXTOVQDOGSEVAWLHINOL6HA/action/citation_signature","submit_replication":"https://pith.science/pith/OZGQXTOVQDOGSEVAWLHINOL6HA/action/replication_record"}},"created_at":"2026-07-03T00:17:03.346459+00:00","updated_at":"2026-07-03T00:17:03.346459+00:00"}