{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:PCRZ2ZIM4TRIB22Q7PLJTFONCM","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":"31efa7825fe9ba76fb31775688d9460ea8f42798cd805b88b84fc43b264fc767","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-10-26T07:52:44Z","title_canon_sha256":"41828e7999a754f4836bd9f1ce0e0b72d9921ea03f329512990414ac9a279a6d"},"schema_version":"1.0","source":{"id":"1610.08221","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.08221","created_at":"2026-05-18T01:01:14Z"},{"alias_kind":"arxiv_version","alias_value":"1610.08221v1","created_at":"2026-05-18T01:01:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.08221","created_at":"2026-05-18T01:01:14Z"},{"alias_kind":"pith_short_12","alias_value":"PCRZ2ZIM4TRI","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"PCRZ2ZIM4TRIB22Q","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"PCRZ2ZIM","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:3591302cc2b9b29e2168357b574462b839c9a1c01b8af40528fc27ba320e5942","target":"graph","created_at":"2026-05-18T01:01:14Z","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":"New diffuse interface and sharp interface models for soluble and insoluble surfactants fulfilling energy inequalities are introduced. We discuss their relation with the help of asymptotic analysis and present an existence result for a particular diffuse interface model.","authors_text":"Harald Garcke, Helmut Abels, Josef Weber, Kei Fong Lam","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-10-26T07:52:44Z","title":"Two-phase flow with surfactants: Diffuse interface models and their analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.08221","kind":"arxiv","version":1},"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:da18a494e3109ecba2452e6c353f16bfb7b557419e8006401340d39d100299a8","target":"record","created_at":"2026-05-18T01:01:14Z","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":"31efa7825fe9ba76fb31775688d9460ea8f42798cd805b88b84fc43b264fc767","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2016-10-26T07:52:44Z","title_canon_sha256":"41828e7999a754f4836bd9f1ce0e0b72d9921ea03f329512990414ac9a279a6d"},"schema_version":"1.0","source":{"id":"1610.08221","kind":"arxiv","version":1}},"canonical_sha256":"78a39d650ce4e280eb50fbd69995cd132a6cb3e8a607dacfb339409d12044108","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"78a39d650ce4e280eb50fbd69995cd132a6cb3e8a607dacfb339409d12044108","first_computed_at":"2026-05-18T01:01:14.685575Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:14.685575Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M3tS0Fxg6GUDbb8/7XWPYo7CxKF6i5KGwgRhmNeHaEy9DakJ3aDDeItds6agDPi4Lj5abzjYPx4mdHVhkuo6DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:14.686287Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.08221","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da18a494e3109ecba2452e6c353f16bfb7b557419e8006401340d39d100299a8","sha256:3591302cc2b9b29e2168357b574462b839c9a1c01b8af40528fc27ba320e5942"],"state_sha256":"3d8a41af478532c3b2b98eeaca50c83c6c64c694000f4a493f02aee1f0dbd699"}