{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:4LFFTUXDNXGIR2GXUAORGCC6SN","short_pith_number":"pith:4LFFTUXD","schema_version":"1.0","canonical_sha256":"e2ca59d2e36dcc88e8d7a01d13085e937df0e3b531d5c810107a298469c637b7","source":{"kind":"arxiv","id":"1806.10628","version":1},"attestation_state":"computed","paper":{"title":"Method of model reduction and multifidelity models for solute transport in random layered porous media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Alexandre M. Tartakovsky, Zhijie Xu","submitted_at":"2018-06-25T21:28:52Z","abstract_excerpt":"This work presents a hierarchical model for solute transport in bounded layered porous media with random permeability. The model generalizes the Taylor-Aris dispersion theory to stochastic transport in random layered porous media with a known velocity covariance function. In the hierarchical model, we represent (random) concentration in terms of its cross-sectional average and a variation function. We derive a one-dimensional stochastic advection-dispersion-type equation for the average concentration and a stochastic Poisson equation for the variation function, as well as expressions for the e"},"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":"1806.10628","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-06-25T21:28:52Z","cross_cats_sorted":[],"title_canon_sha256":"cf3f64c34dc7983bea9623030eb5e85da866b7fde4d63ec13acfa4618bc1069c","abstract_canon_sha256":"9685ae9e2311a5ac782627d3741f8dbcd9d14612b03e785c1f6eaba54cb0c870"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:46.881852Z","signature_b64":"/xfSk9onX5Nipa8ZXPaBEQtcPvrKzyLKDqITMfX6hGY0ibXPD19m7OVGgOpkpit6zdiOlY41w46hY7G3H3l4Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2ca59d2e36dcc88e8d7a01d13085e937df0e3b531d5c810107a298469c637b7","last_reissued_at":"2026-05-18T00:09:46.880990Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:46.880990Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Method of model reduction and multifidelity models for solute transport in random layered porous media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Alexandre M. Tartakovsky, Zhijie Xu","submitted_at":"2018-06-25T21:28:52Z","abstract_excerpt":"This work presents a hierarchical model for solute transport in bounded layered porous media with random permeability. The model generalizes the Taylor-Aris dispersion theory to stochastic transport in random layered porous media with a known velocity covariance function. In the hierarchical model, we represent (random) concentration in terms of its cross-sectional average and a variation function. We derive a one-dimensional stochastic advection-dispersion-type equation for the average concentration and a stochastic Poisson equation for the variation function, as well as expressions for the e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.10628","kind":"arxiv","version":1},"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":"1806.10628","created_at":"2026-05-18T00:09:46.881134+00:00"},{"alias_kind":"arxiv_version","alias_value":"1806.10628v1","created_at":"2026-05-18T00:09:46.881134+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.10628","created_at":"2026-05-18T00:09:46.881134+00:00"},{"alias_kind":"pith_short_12","alias_value":"4LFFTUXDNXGI","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_16","alias_value":"4LFFTUXDNXGIR2GX","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_8","alias_value":"4LFFTUXD","created_at":"2026-05-18T12:32:05.422762+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/4LFFTUXDNXGIR2GXUAORGCC6SN","json":"https://pith.science/pith/4LFFTUXDNXGIR2GXUAORGCC6SN.json","graph_json":"https://pith.science/api/pith-number/4LFFTUXDNXGIR2GXUAORGCC6SN/graph.json","events_json":"https://pith.science/api/pith-number/4LFFTUXDNXGIR2GXUAORGCC6SN/events.json","paper":"https://pith.science/paper/4LFFTUXD"},"agent_actions":{"view_html":"https://pith.science/pith/4LFFTUXDNXGIR2GXUAORGCC6SN","download_json":"https://pith.science/pith/4LFFTUXDNXGIR2GXUAORGCC6SN.json","view_paper":"https://pith.science/paper/4LFFTUXD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1806.10628&json=true","fetch_graph":"https://pith.science/api/pith-number/4LFFTUXDNXGIR2GXUAORGCC6SN/graph.json","fetch_events":"https://pith.science/api/pith-number/4LFFTUXDNXGIR2GXUAORGCC6SN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4LFFTUXDNXGIR2GXUAORGCC6SN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4LFFTUXDNXGIR2GXUAORGCC6SN/action/storage_attestation","attest_author":"https://pith.science/pith/4LFFTUXDNXGIR2GXUAORGCC6SN/action/author_attestation","sign_citation":"https://pith.science/pith/4LFFTUXDNXGIR2GXUAORGCC6SN/action/citation_signature","submit_replication":"https://pith.science/pith/4LFFTUXDNXGIR2GXUAORGCC6SN/action/replication_record"}},"created_at":"2026-05-18T00:09:46.881134+00:00","updated_at":"2026-05-18T00:09:46.881134+00:00"}