{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:BMTHK4FZHGCPU7COOYIWGYXQ4K","short_pith_number":"pith:BMTHK4FZ","canonical_record":{"source":{"id":"1803.06339","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-16T17:45:06Z","cross_cats_sorted":[],"title_canon_sha256":"5e40ad76bb331c7d3112e0f67838353b75f835b15b8dd15d60f87cd2aea27193","abstract_canon_sha256":"a34fbc4c97f4d7914a66fa2857a09a3af34498231b6cfd9409a050a42545d32a"},"schema_version":"1.0"},"canonical_sha256":"0b267570b93984fa7c4e76116362f0e2a98e4e0352fef6c823aab2aa8f3da319","source":{"kind":"arxiv","id":"1803.06339","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.06339","created_at":"2026-05-18T00:10:59Z"},{"alias_kind":"arxiv_version","alias_value":"1803.06339v2","created_at":"2026-05-18T00:10:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.06339","created_at":"2026-05-18T00:10:59Z"},{"alias_kind":"pith_short_12","alias_value":"BMTHK4FZHGCP","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"BMTHK4FZHGCPU7CO","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"BMTHK4FZ","created_at":"2026-05-18T12:32:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:BMTHK4FZHGCPU7COOYIWGYXQ4K","target":"record","payload":{"canonical_record":{"source":{"id":"1803.06339","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-16T17:45:06Z","cross_cats_sorted":[],"title_canon_sha256":"5e40ad76bb331c7d3112e0f67838353b75f835b15b8dd15d60f87cd2aea27193","abstract_canon_sha256":"a34fbc4c97f4d7914a66fa2857a09a3af34498231b6cfd9409a050a42545d32a"},"schema_version":"1.0"},"canonical_sha256":"0b267570b93984fa7c4e76116362f0e2a98e4e0352fef6c823aab2aa8f3da319","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:59.844839Z","signature_b64":"PclWHLAdp4mZ1fsCO6BjWNyPg/Sd6tvxmkomLad32ZxNsLjEVV83VExgGMDanEXdapf1HXrgbW7MEAzoCY+KDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b267570b93984fa7c4e76116362f0e2a98e4e0352fef6c823aab2aa8f3da319","last_reissued_at":"2026-05-18T00:10:59.844089Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:59.844089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.06339","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:10:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wwDm/gLiW8R9cTq4MAB1ZwR1IwnOLwRu6iWbhcg+qFjJZjFjj1McMi2TVj9orwQ2ithhixZ4HQzFEsfxHe8NBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T10:58:49.179012Z"},"content_sha256":"258ee3303cb6fe7288e5d65dc09808681218a62712475920c93167c118b6fb1c","schema_version":"1.0","event_id":"sha256:258ee3303cb6fe7288e5d65dc09808681218a62712475920c93167c118b6fb1c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:BMTHK4FZHGCPU7COOYIWGYXQ4K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A time dependent Stokes interface problem: well-posedness and space-time finite element discretization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Arnold Reusken, Igor Voulis","submitted_at":"2018-03-16T17:45:06Z","abstract_excerpt":"In this paper a time dependent Stokes problem that is motivated by a standard sharp interface model for the fluid dynamics of two-phase flows is studied. This Stokes interface problem has discontinuous density and viscosity coefficients and a pressure solution that is discontinuous across an evolving interface. This strongly simplified two-phase Stokes equation is considered to be a good model problem for the development and analysis of finite element discretization methods for two-phase flow problems. In view of the unfitted finite element methods that are often used for two-phase flow simula"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.06339","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:10:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XSAjTeeeFtfc6Ws83hvq6O5B3vg3Lijwfg45d+tnxX78MvOIXiPTfOicHoPK8QGhU3rQ/hUMOxAANCX6pwx3DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T10:58:49.179366Z"},"content_sha256":"95d4165dbe2061f8b31235bbcbdcfc5076b5be31a38e1df20b1008113dd2f64a","schema_version":"1.0","event_id":"sha256:95d4165dbe2061f8b31235bbcbdcfc5076b5be31a38e1df20b1008113dd2f64a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BMTHK4FZHGCPU7COOYIWGYXQ4K/bundle.json","state_url":"https://pith.science/pith/BMTHK4FZHGCPU7COOYIWGYXQ4K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BMTHK4FZHGCPU7COOYIWGYXQ4K/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-26T10:58:49Z","links":{"resolver":"https://pith.science/pith/BMTHK4FZHGCPU7COOYIWGYXQ4K","bundle":"https://pith.science/pith/BMTHK4FZHGCPU7COOYIWGYXQ4K/bundle.json","state":"https://pith.science/pith/BMTHK4FZHGCPU7COOYIWGYXQ4K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BMTHK4FZHGCPU7COOYIWGYXQ4K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:BMTHK4FZHGCPU7COOYIWGYXQ4K","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":"a34fbc4c97f4d7914a66fa2857a09a3af34498231b6cfd9409a050a42545d32a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-16T17:45:06Z","title_canon_sha256":"5e40ad76bb331c7d3112e0f67838353b75f835b15b8dd15d60f87cd2aea27193"},"schema_version":"1.0","source":{"id":"1803.06339","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.06339","created_at":"2026-05-18T00:10:59Z"},{"alias_kind":"arxiv_version","alias_value":"1803.06339v2","created_at":"2026-05-18T00:10:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.06339","created_at":"2026-05-18T00:10:59Z"},{"alias_kind":"pith_short_12","alias_value":"BMTHK4FZHGCP","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"BMTHK4FZHGCPU7CO","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"BMTHK4FZ","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:95d4165dbe2061f8b31235bbcbdcfc5076b5be31a38e1df20b1008113dd2f64a","target":"graph","created_at":"2026-05-18T00:10:59Z","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 a time dependent Stokes problem that is motivated by a standard sharp interface model for the fluid dynamics of two-phase flows is studied. This Stokes interface problem has discontinuous density and viscosity coefficients and a pressure solution that is discontinuous across an evolving interface. This strongly simplified two-phase Stokes equation is considered to be a good model problem for the development and analysis of finite element discretization methods for two-phase flow problems. In view of the unfitted finite element methods that are often used for two-phase flow simula","authors_text":"Arnold Reusken, Igor Voulis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-16T17:45:06Z","title":"A time dependent Stokes interface problem: well-posedness and space-time finite element discretization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.06339","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":"sha256:258ee3303cb6fe7288e5d65dc09808681218a62712475920c93167c118b6fb1c","target":"record","created_at":"2026-05-18T00:10:59Z","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":"a34fbc4c97f4d7914a66fa2857a09a3af34498231b6cfd9409a050a42545d32a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-16T17:45:06Z","title_canon_sha256":"5e40ad76bb331c7d3112e0f67838353b75f835b15b8dd15d60f87cd2aea27193"},"schema_version":"1.0","source":{"id":"1803.06339","kind":"arxiv","version":2}},"canonical_sha256":"0b267570b93984fa7c4e76116362f0e2a98e4e0352fef6c823aab2aa8f3da319","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b267570b93984fa7c4e76116362f0e2a98e4e0352fef6c823aab2aa8f3da319","first_computed_at":"2026-05-18T00:10:59.844089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:59.844089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PclWHLAdp4mZ1fsCO6BjWNyPg/Sd6tvxmkomLad32ZxNsLjEVV83VExgGMDanEXdapf1HXrgbW7MEAzoCY+KDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:59.844839Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.06339","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:258ee3303cb6fe7288e5d65dc09808681218a62712475920c93167c118b6fb1c","sha256:95d4165dbe2061f8b31235bbcbdcfc5076b5be31a38e1df20b1008113dd2f64a"],"state_sha256":"a47beb7acc0a7b702728c387446db44394b2be62170d57725455a5e90b85fc1c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0GSQ8iwCyM8ZHvpphRrHc4LdxsQ1yAmAR5nLyreTmnfIjRXK3JrLkenVVLUl6LmAQYzY9++gpSxMfoMEIinZBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T10:58:49.181436Z","bundle_sha256":"24328c7772ea7174832621c07d1500e8593ce8da57afa5dc9c84c2c3be498d3b"}}