{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:OE55YHXZRJPEYNXUIKMRBZORFG","short_pith_number":"pith:OE55YHXZ","schema_version":"1.0","canonical_sha256":"713bdc1ef98a5e4c36f4429910e5d12987ea7e78e60eb9c40e91afb3e8a9973d","source":{"kind":"arxiv","id":"2412.11904","version":2},"attestation_state":"computed","paper":{"title":"A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.comp-ph","physics.flu-dyn"],"primary_cat":"math.AP","authors_text":"Christian Rohde, Hasel-Cicek Konan, Jens Keim","submitted_at":"2024-12-16T15:50:06Z","abstract_excerpt":"We consider the two-phase dynamics of two incompressible and immiscible fluids. As a mathematical model we rely on the Navier-Stokes-Cahn-Hilliard system that belongs to the class of diffuse-interface models. Solutions of the Navier-Stokes-Cahn-Hilliard system exhibit strong non-local effects due to the velocity divergence constraint and the fourth-order Cahn-Hilliard operator. We suggest a new first-order approximative system for the inviscid sub-system. It relies on the artificial-compressibility ansatz for the Navier-Stokes equations, a friction-type approximation for the Cahn-Hilliard equa"},"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":"2412.11904","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-12-16T15:50:06Z","cross_cats_sorted":["physics.comp-ph","physics.flu-dyn"],"title_canon_sha256":"5ab537f193a8ca43cdaa1f7a5446046c53c21f86e6bd523cd306ed4b18125c2d","abstract_canon_sha256":"ca653f3bd62f35ac58bcd7890fbf6e66236b039be2fb48f4c3a773ed659a9e8b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:50:37.258917Z","signature_b64":"5eMJmRbjCSWzKbOS1quxjtE+ylE/cbm4csIu2cu8CrzJuplMw9dWhA9P6xrIBpt73riHvtWVhSQ6ifNl+copDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"713bdc1ef98a5e4c36f4429910e5d12987ea7e78e60eb9c40e91afb3e8a9973d","last_reissued_at":"2026-07-05T09:50:37.258441Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:50:37.258441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.comp-ph","physics.flu-dyn"],"primary_cat":"math.AP","authors_text":"Christian Rohde, Hasel-Cicek Konan, Jens Keim","submitted_at":"2024-12-16T15:50:06Z","abstract_excerpt":"We consider the two-phase dynamics of two incompressible and immiscible fluids. As a mathematical model we rely on the Navier-Stokes-Cahn-Hilliard system that belongs to the class of diffuse-interface models. Solutions of the Navier-Stokes-Cahn-Hilliard system exhibit strong non-local effects due to the velocity divergence constraint and the fourth-order Cahn-Hilliard operator. We suggest a new first-order approximative system for the inviscid sub-system. It relies on the artificial-compressibility ansatz for the Navier-Stokes equations, a friction-type approximation for the Cahn-Hilliard equa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.11904","kind":"arxiv","version":2},"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/2412.11904/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":"2412.11904","created_at":"2026-07-05T09:50:37.258495+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.11904v2","created_at":"2026-07-05T09:50:37.258495+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.11904","created_at":"2026-07-05T09:50:37.258495+00:00"},{"alias_kind":"pith_short_12","alias_value":"OE55YHXZRJPE","created_at":"2026-07-05T09:50:37.258495+00:00"},{"alias_kind":"pith_short_16","alias_value":"OE55YHXZRJPEYNXU","created_at":"2026-07-05T09:50:37.258495+00:00"},{"alias_kind":"pith_short_8","alias_value":"OE55YHXZ","created_at":"2026-07-05T09:50:37.258495+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/OE55YHXZRJPEYNXUIKMRBZORFG","json":"https://pith.science/pith/OE55YHXZRJPEYNXUIKMRBZORFG.json","graph_json":"https://pith.science/api/pith-number/OE55YHXZRJPEYNXUIKMRBZORFG/graph.json","events_json":"https://pith.science/api/pith-number/OE55YHXZRJPEYNXUIKMRBZORFG/events.json","paper":"https://pith.science/paper/OE55YHXZ"},"agent_actions":{"view_html":"https://pith.science/pith/OE55YHXZRJPEYNXUIKMRBZORFG","download_json":"https://pith.science/pith/OE55YHXZRJPEYNXUIKMRBZORFG.json","view_paper":"https://pith.science/paper/OE55YHXZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.11904&json=true","fetch_graph":"https://pith.science/api/pith-number/OE55YHXZRJPEYNXUIKMRBZORFG/graph.json","fetch_events":"https://pith.science/api/pith-number/OE55YHXZRJPEYNXUIKMRBZORFG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OE55YHXZRJPEYNXUIKMRBZORFG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OE55YHXZRJPEYNXUIKMRBZORFG/action/storage_attestation","attest_author":"https://pith.science/pith/OE55YHXZRJPEYNXUIKMRBZORFG/action/author_attestation","sign_citation":"https://pith.science/pith/OE55YHXZRJPEYNXUIKMRBZORFG/action/citation_signature","submit_replication":"https://pith.science/pith/OE55YHXZRJPEYNXUIKMRBZORFG/action/replication_record"}},"created_at":"2026-07-05T09:50:37.258495+00:00","updated_at":"2026-07-05T09:50:37.258495+00:00"}