{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:GRUUB42EBKSW7J26CTKW3WIMBB","short_pith_number":"pith:GRUUB42E","schema_version":"1.0","canonical_sha256":"346940f3440aa56fa75e14d56dd90c08601bfbed0aeb54ee507dbfc8e8ec8497","source":{"kind":"arxiv","id":"2501.04655","version":1},"attestation_state":"computed","paper":{"title":"Lattice Boltzmann simulation reveals supercritical bifurcation in flow mode transitions of power-law fluids in the four-roll mill","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Chuandong Lin, Hai-Zhuan Yuan, Qingqing Gu, Qingyong Zhu, Xiao Jiang, Yuan Yu","submitted_at":"2025-01-08T18:07:47Z","abstract_excerpt":"The four-roll mill has been traditionally viewed as a device generating simple extensional flow with a central stagnation point. Our systematic investigation using a two-relaxation-time regularized lattice Boltzmann (TRT-RLB) model reveals unexpected richness in the flow physics, identifying two previously unreported supercritical bifurcation modes: a quadrifoliate vortex mode featuring four symmetrical counter-rotating vortices, and a dumbbell-shaped quad-vortex mode where vortices detach from but remain symmetric about the stagnation point. The numerical framework, representing the first suc"},"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":"2501.04655","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-01-08T18:07:47Z","cross_cats_sorted":[],"title_canon_sha256":"3b6a97cd9e8d6d941349ce6b41dfe848fca5900b4d51c029c3627f2a48124510","abstract_canon_sha256":"2393b66c44a30e0b99e6bd3d122bf8eda5e547136827241875160d05018ed1a1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:58:38.504981Z","signature_b64":"AarGspyiv+LNZabWWWXvi3GDgiGa6NZ8MfTqD0SalL7T9l9Rv0BHYX3Dy6bu0LRp9B7uA5tvU16dY/kA6pmZDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"346940f3440aa56fa75e14d56dd90c08601bfbed0aeb54ee507dbfc8e8ec8497","last_reissued_at":"2026-07-05T09:58:38.504529Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:58:38.504529Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lattice Boltzmann simulation reveals supercritical bifurcation in flow mode transitions of power-law fluids in the four-roll mill","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Chuandong Lin, Hai-Zhuan Yuan, Qingqing Gu, Qingyong Zhu, Xiao Jiang, Yuan Yu","submitted_at":"2025-01-08T18:07:47Z","abstract_excerpt":"The four-roll mill has been traditionally viewed as a device generating simple extensional flow with a central stagnation point. Our systematic investigation using a two-relaxation-time regularized lattice Boltzmann (TRT-RLB) model reveals unexpected richness in the flow physics, identifying two previously unreported supercritical bifurcation modes: a quadrifoliate vortex mode featuring four symmetrical counter-rotating vortices, and a dumbbell-shaped quad-vortex mode where vortices detach from but remain symmetric about the stagnation point. The numerical framework, representing the first suc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.04655","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/2501.04655/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":"2501.04655","created_at":"2026-07-05T09:58:38.504587+00:00"},{"alias_kind":"arxiv_version","alias_value":"2501.04655v1","created_at":"2026-07-05T09:58:38.504587+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.04655","created_at":"2026-07-05T09:58:38.504587+00:00"},{"alias_kind":"pith_short_12","alias_value":"GRUUB42EBKSW","created_at":"2026-07-05T09:58:38.504587+00:00"},{"alias_kind":"pith_short_16","alias_value":"GRUUB42EBKSW7J26","created_at":"2026-07-05T09:58:38.504587+00:00"},{"alias_kind":"pith_short_8","alias_value":"GRUUB42E","created_at":"2026-07-05T09:58:38.504587+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/GRUUB42EBKSW7J26CTKW3WIMBB","json":"https://pith.science/pith/GRUUB42EBKSW7J26CTKW3WIMBB.json","graph_json":"https://pith.science/api/pith-number/GRUUB42EBKSW7J26CTKW3WIMBB/graph.json","events_json":"https://pith.science/api/pith-number/GRUUB42EBKSW7J26CTKW3WIMBB/events.json","paper":"https://pith.science/paper/GRUUB42E"},"agent_actions":{"view_html":"https://pith.science/pith/GRUUB42EBKSW7J26CTKW3WIMBB","download_json":"https://pith.science/pith/GRUUB42EBKSW7J26CTKW3WIMBB.json","view_paper":"https://pith.science/paper/GRUUB42E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2501.04655&json=true","fetch_graph":"https://pith.science/api/pith-number/GRUUB42EBKSW7J26CTKW3WIMBB/graph.json","fetch_events":"https://pith.science/api/pith-number/GRUUB42EBKSW7J26CTKW3WIMBB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GRUUB42EBKSW7J26CTKW3WIMBB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GRUUB42EBKSW7J26CTKW3WIMBB/action/storage_attestation","attest_author":"https://pith.science/pith/GRUUB42EBKSW7J26CTKW3WIMBB/action/author_attestation","sign_citation":"https://pith.science/pith/GRUUB42EBKSW7J26CTKW3WIMBB/action/citation_signature","submit_replication":"https://pith.science/pith/GRUUB42EBKSW7J26CTKW3WIMBB/action/replication_record"}},"created_at":"2026-07-05T09:58:38.504587+00:00","updated_at":"2026-07-05T09:58:38.504587+00:00"}