{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:M23EXTIQQMPLFVV4S6SBNK6CG5","short_pith_number":"pith:M23EXTIQ","schema_version":"1.0","canonical_sha256":"66b64bcd10831eb2d6bc97a416abc23779af7143326753f4a4cb25ac361ea16c","source":{"kind":"arxiv","id":"1810.12274","version":1},"attestation_state":"computed","paper":{"title":"Phase field modelling of surfactants in multi-phase flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Bjorn Stinner, Kei Fong Lam, Oliver R. A. Dunbar","submitted_at":"2018-10-29T17:43:03Z","abstract_excerpt":"A diffuse interface model for surfactants in multi-phase flow with three or more fluids is derived. A system of Cahn-Hilliard equations is coupled with a Navier-Stokes system and an advection-diffusion equation for the surfactant ensuring thermodynamic consistency. By an asymptotic analysis the model can be related to a moving boundary problem in the sharp interface limit, which is derived from first principles. Results from numerical simulations support the theoretical findings. The main novelties are centred around the conditions in the triple junctions where three fluids meet. Specifically "},"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":"1810.12274","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-10-29T17:43:03Z","cross_cats_sorted":[],"title_canon_sha256":"6b6b793157031683b90b98b1b7053b916fc7499662aadf8731c44d10efe8d03b","abstract_canon_sha256":"767a727f256af572c295035185e9a81ede41adfa0f7e3d1603f051e4b9527e23"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:03.739376Z","signature_b64":"/ufSJnYWybO0Fycd5255zG4yzcxBGstgsYQOqrQMqsjTIIoG9Q7fxHYIGcYvRse9vLVyDcEMlcSxLstF7gHHBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66b64bcd10831eb2d6bc97a416abc23779af7143326753f4a4cb25ac361ea16c","last_reissued_at":"2026-05-18T00:02:03.738767Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:03.738767Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Phase field modelling of surfactants in multi-phase flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Bjorn Stinner, Kei Fong Lam, Oliver R. A. Dunbar","submitted_at":"2018-10-29T17:43:03Z","abstract_excerpt":"A diffuse interface model for surfactants in multi-phase flow with three or more fluids is derived. A system of Cahn-Hilliard equations is coupled with a Navier-Stokes system and an advection-diffusion equation for the surfactant ensuring thermodynamic consistency. By an asymptotic analysis the model can be related to a moving boundary problem in the sharp interface limit, which is derived from first principles. Results from numerical simulations support the theoretical findings. The main novelties are centred around the conditions in the triple junctions where three fluids meet. Specifically "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.12274","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":""},"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":"1810.12274","created_at":"2026-05-18T00:02:03.738854+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.12274v1","created_at":"2026-05-18T00:02:03.738854+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.12274","created_at":"2026-05-18T00:02:03.738854+00:00"},{"alias_kind":"pith_short_12","alias_value":"M23EXTIQQMPL","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_16","alias_value":"M23EXTIQQMPLFVV4","created_at":"2026-05-18T12:32:37.024351+00:00"},{"alias_kind":"pith_short_8","alias_value":"M23EXTIQ","created_at":"2026-05-18T12:32:37.024351+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/M23EXTIQQMPLFVV4S6SBNK6CG5","json":"https://pith.science/pith/M23EXTIQQMPLFVV4S6SBNK6CG5.json","graph_json":"https://pith.science/api/pith-number/M23EXTIQQMPLFVV4S6SBNK6CG5/graph.json","events_json":"https://pith.science/api/pith-number/M23EXTIQQMPLFVV4S6SBNK6CG5/events.json","paper":"https://pith.science/paper/M23EXTIQ"},"agent_actions":{"view_html":"https://pith.science/pith/M23EXTIQQMPLFVV4S6SBNK6CG5","download_json":"https://pith.science/pith/M23EXTIQQMPLFVV4S6SBNK6CG5.json","view_paper":"https://pith.science/paper/M23EXTIQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.12274&json=true","fetch_graph":"https://pith.science/api/pith-number/M23EXTIQQMPLFVV4S6SBNK6CG5/graph.json","fetch_events":"https://pith.science/api/pith-number/M23EXTIQQMPLFVV4S6SBNK6CG5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M23EXTIQQMPLFVV4S6SBNK6CG5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M23EXTIQQMPLFVV4S6SBNK6CG5/action/storage_attestation","attest_author":"https://pith.science/pith/M23EXTIQQMPLFVV4S6SBNK6CG5/action/author_attestation","sign_citation":"https://pith.science/pith/M23EXTIQQMPLFVV4S6SBNK6CG5/action/citation_signature","submit_replication":"https://pith.science/pith/M23EXTIQQMPLFVV4S6SBNK6CG5/action/replication_record"}},"created_at":"2026-05-18T00:02:03.738854+00:00","updated_at":"2026-05-18T00:02:03.738854+00:00"}