{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:QNXFOUG56DM63YIEX76Q6MTZWH","short_pith_number":"pith:QNXFOUG5","schema_version":"1.0","canonical_sha256":"836e5750ddf0d9ede104bffd0f3279b1c86b47bdc85ce958df30cfa847735143","source":{"kind":"arxiv","id":"1906.01632","version":2},"attestation_state":"computed","paper":{"title":"Solution of the 3D density-driven groundwater flow problem with uncertain porosity and permeability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Alexander Litvinenko, David Keyes, Dmitry Logashenko, Gabriel Wittum, Raul Tempone","submitted_at":"2019-05-31T23:39:12Z","abstract_excerpt":"As groundwater is an essential nutrition and irrigation resource, its pollution may lead to catastrophic consequences. Therefore, accurate modeling of the pollution of the soil and groundwater aquifer is highly important. As a model, we consider a density-driven groundwater flow problem with uncertain porosity and permeability. This problem may arise in geothermal reservoir simulation, natural saline-disposal basins, modeling of contaminant plumes, and subsurface flow. This strongly nonlinear time-dependent problem describes the convection of the two-phase flow. This liquid streams under the g"},"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":"1906.01632","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-05-31T23:39:12Z","cross_cats_sorted":["cs.NA","physics.comp-ph"],"title_canon_sha256":"2b8e43584c769d93775ed3895c25b5d14d638f067c51a263a6b59abe31ff349b","abstract_canon_sha256":"c0338eb98d644fc3a07f9b344966c0531ecc3dc33dc723def6bdf8f60e181ff9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:32.517900Z","signature_b64":"eI59taydMqF3KL2G8PDeZXYgol/jm7Pn78+c7q1ntqeuaPBPXPf07ZwlGDRHqKuXXgDZ/NGjMmkJd49AH6lWAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"836e5750ddf0d9ede104bffd0f3279b1c86b47bdc85ce958df30cfa847735143","last_reissued_at":"2026-05-17T23:43:32.517503Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:32.517503Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Solution of the 3D density-driven groundwater flow problem with uncertain porosity and permeability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Alexander Litvinenko, David Keyes, Dmitry Logashenko, Gabriel Wittum, Raul Tempone","submitted_at":"2019-05-31T23:39:12Z","abstract_excerpt":"As groundwater is an essential nutrition and irrigation resource, its pollution may lead to catastrophic consequences. Therefore, accurate modeling of the pollution of the soil and groundwater aquifer is highly important. As a model, we consider a density-driven groundwater flow problem with uncertain porosity and permeability. This problem may arise in geothermal reservoir simulation, natural saline-disposal basins, modeling of contaminant plumes, and subsurface flow. This strongly nonlinear time-dependent problem describes the convection of the two-phase flow. This liquid streams under the g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.01632","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1906.01632","created_at":"2026-05-17T23:43:32.517566+00:00"},{"alias_kind":"arxiv_version","alias_value":"1906.01632v2","created_at":"2026-05-17T23:43:32.517566+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.01632","created_at":"2026-05-17T23:43:32.517566+00:00"},{"alias_kind":"pith_short_12","alias_value":"QNXFOUG56DM6","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_16","alias_value":"QNXFOUG56DM63YIE","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_8","alias_value":"QNXFOUG5","created_at":"2026-05-18T12:33:27.125529+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/QNXFOUG56DM63YIEX76Q6MTZWH","json":"https://pith.science/pith/QNXFOUG56DM63YIEX76Q6MTZWH.json","graph_json":"https://pith.science/api/pith-number/QNXFOUG56DM63YIEX76Q6MTZWH/graph.json","events_json":"https://pith.science/api/pith-number/QNXFOUG56DM63YIEX76Q6MTZWH/events.json","paper":"https://pith.science/paper/QNXFOUG5"},"agent_actions":{"view_html":"https://pith.science/pith/QNXFOUG56DM63YIEX76Q6MTZWH","download_json":"https://pith.science/pith/QNXFOUG56DM63YIEX76Q6MTZWH.json","view_paper":"https://pith.science/paper/QNXFOUG5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1906.01632&json=true","fetch_graph":"https://pith.science/api/pith-number/QNXFOUG56DM63YIEX76Q6MTZWH/graph.json","fetch_events":"https://pith.science/api/pith-number/QNXFOUG56DM63YIEX76Q6MTZWH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QNXFOUG56DM63YIEX76Q6MTZWH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QNXFOUG56DM63YIEX76Q6MTZWH/action/storage_attestation","attest_author":"https://pith.science/pith/QNXFOUG56DM63YIEX76Q6MTZWH/action/author_attestation","sign_citation":"https://pith.science/pith/QNXFOUG56DM63YIEX76Q6MTZWH/action/citation_signature","submit_replication":"https://pith.science/pith/QNXFOUG56DM63YIEX76Q6MTZWH/action/replication_record"}},"created_at":"2026-05-17T23:43:32.517566+00:00","updated_at":"2026-05-17T23:43:32.517566+00:00"}