{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:HQSMFJFBW4DA5N47PMTUNNWEKI","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"9ba0a9e19c11c1527529e3f4875e825a58ff4ccc09795c1375ddb93633a3b7ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-20T05:24:06Z","title_canon_sha256":"680c18fd1d24ef6c7a6652e88b30d7a97d9408fff90b4e0cc3c1acec8d0bb12c"},"schema_version":"1.0","source":{"id":"1703.06606","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.06606","created_at":"2026-05-18T00:33:21Z"},{"alias_kind":"arxiv_version","alias_value":"1703.06606v2","created_at":"2026-05-18T00:33:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.06606","created_at":"2026-05-18T00:33:21Z"},{"alias_kind":"pith_short_12","alias_value":"HQSMFJFBW4DA","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"HQSMFJFBW4DA5N47","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"HQSMFJFB","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:ecc0e58beb7d4c60e9810051e37db7fff8dc3a4b9f630f21c97544e67e8d21d0","target":"graph","created_at":"2026-05-18T00:33:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this paper we describe two fully mass conservative, energy stable, finite difference methods on a staggered grid for the quasi-incompressible Navier-Stokes-Cahn-Hilliard (q-NSCH) system governing a binary incompressible fluid flow with variable density and viscosity. Both methods, namely the primitive method (finite difference method in the primitive variable formulation) and the projection method (finite difference method in a projection-type formulation), are so designed that the mass of the binary fluid is preserved, and the energy of the system equations is always non-increasing in time","authors_text":"John Lowengrub, Ping Lin, Steven Wise, Zhenlin Guo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-20T05:24:06Z","title":"Mass Conservative and Energy Stable Finite Difference Methods for the Quasi-incompressible Navier-Stokes-Cahn-Hilliard system: Primitive Variable and Projection-Type Schemes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.06606","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:72e658e0c8fc6a6b974607191928edb0aa62b0b9b967214b9a321bd3b6a83322","target":"record","created_at":"2026-05-18T00:33:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"9ba0a9e19c11c1527529e3f4875e825a58ff4ccc09795c1375ddb93633a3b7ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-20T05:24:06Z","title_canon_sha256":"680c18fd1d24ef6c7a6652e88b30d7a97d9408fff90b4e0cc3c1acec8d0bb12c"},"schema_version":"1.0","source":{"id":"1703.06606","kind":"arxiv","version":2}},"canonical_sha256":"3c24c2a4a1b7060eb79f7b2746b6c45212ecfe96cfc0b9d413c826714325d0db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c24c2a4a1b7060eb79f7b2746b6c45212ecfe96cfc0b9d413c826714325d0db","first_computed_at":"2026-05-18T00:33:21.063320Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:21.063320Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eJXtZQ/oaffNtzTEX1EmHwUDjZqWXjesEox767TEtonCl3xAtArZCRe8VNfzcv2Kj7GnPJAb6KbyiIEHwXvnDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:21.063723Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.06606","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72e658e0c8fc6a6b974607191928edb0aa62b0b9b967214b9a321bd3b6a83322","sha256:ecc0e58beb7d4c60e9810051e37db7fff8dc3a4b9f630f21c97544e67e8d21d0"],"state_sha256":"73bc5f7bbf1f4c68dda2dfe53ff3ba55acbc68ba51b5e5b075bd372024d43e26"}