{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:5ZET2G2MBOANBGYNYF37DJPSXF","short_pith_number":"pith:5ZET2G2M","schema_version":"1.0","canonical_sha256":"ee493d1b4c0b80d09b0dc177f1a5f2b9509a0b9385d21d52bacdb5e59e1b0b98","source":{"kind":"arxiv","id":"1702.06079","version":1},"attestation_state":"computed","paper":{"title":"A Scalar Conservation Law for Plume Migration in Carbon Sequestration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Elisabeth Brown, Michael Shearer","submitted_at":"2017-02-20T17:36:07Z","abstract_excerpt":"A quasi-linear hyperbolic partial differential equation with a discontinuous flux models geologic carbon dioxide migration and storage. Dual flux curves characterize the model, giving rise to flux discontinuities. One convex flux describes the invasion of the plume into pore space, and the other captures the flow as the plume leaves carbon dioxide bubbles behind, which are then trapped in the pore space. We investigate the method of characteristics, the structure of shock and rarefaction waves, and the result of binary wave interactions. The dual flux property introduces unexpected differences"},"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":"1702.06079","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-20T17:36:07Z","cross_cats_sorted":[],"title_canon_sha256":"41c8e939e3a042ea519db419f8fe9e94730477b823acc44df76dd909aeeced1b","abstract_canon_sha256":"0a748c73b1e75114e561169b0c3dab9c50811a9c6f93102296c8d41d47179cfc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:24.399888Z","signature_b64":"Pz33vKYvbuoVPz6W7Nxl8aoJ1C7GS2ybeCaP/OeOJw9XAkO5+43vvr0mCGlgIH4qqOaEsgQubSDI4x0oW4izCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ee493d1b4c0b80d09b0dc177f1a5f2b9509a0b9385d21d52bacdb5e59e1b0b98","last_reissued_at":"2026-05-18T00:50:24.399181Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:24.399181Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Scalar Conservation Law for Plume Migration in Carbon Sequestration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Elisabeth Brown, Michael Shearer","submitted_at":"2017-02-20T17:36:07Z","abstract_excerpt":"A quasi-linear hyperbolic partial differential equation with a discontinuous flux models geologic carbon dioxide migration and storage. Dual flux curves characterize the model, giving rise to flux discontinuities. One convex flux describes the invasion of the plume into pore space, and the other captures the flow as the plume leaves carbon dioxide bubbles behind, which are then trapped in the pore space. We investigate the method of characteristics, the structure of shock and rarefaction waves, and the result of binary wave interactions. The dual flux property introduces unexpected differences"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.06079","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":"1702.06079","created_at":"2026-05-18T00:50:24.399294+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.06079v1","created_at":"2026-05-18T00:50:24.399294+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.06079","created_at":"2026-05-18T00:50:24.399294+00:00"},{"alias_kind":"pith_short_12","alias_value":"5ZET2G2MBOAN","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_16","alias_value":"5ZET2G2MBOANBGYN","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_8","alias_value":"5ZET2G2M","created_at":"2026-05-18T12:31:03.183658+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/5ZET2G2MBOANBGYNYF37DJPSXF","json":"https://pith.science/pith/5ZET2G2MBOANBGYNYF37DJPSXF.json","graph_json":"https://pith.science/api/pith-number/5ZET2G2MBOANBGYNYF37DJPSXF/graph.json","events_json":"https://pith.science/api/pith-number/5ZET2G2MBOANBGYNYF37DJPSXF/events.json","paper":"https://pith.science/paper/5ZET2G2M"},"agent_actions":{"view_html":"https://pith.science/pith/5ZET2G2MBOANBGYNYF37DJPSXF","download_json":"https://pith.science/pith/5ZET2G2MBOANBGYNYF37DJPSXF.json","view_paper":"https://pith.science/paper/5ZET2G2M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.06079&json=true","fetch_graph":"https://pith.science/api/pith-number/5ZET2G2MBOANBGYNYF37DJPSXF/graph.json","fetch_events":"https://pith.science/api/pith-number/5ZET2G2MBOANBGYNYF37DJPSXF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5ZET2G2MBOANBGYNYF37DJPSXF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5ZET2G2MBOANBGYNYF37DJPSXF/action/storage_attestation","attest_author":"https://pith.science/pith/5ZET2G2MBOANBGYNYF37DJPSXF/action/author_attestation","sign_citation":"https://pith.science/pith/5ZET2G2MBOANBGYNYF37DJPSXF/action/citation_signature","submit_replication":"https://pith.science/pith/5ZET2G2MBOANBGYNYF37DJPSXF/action/replication_record"}},"created_at":"2026-05-18T00:50:24.399294+00:00","updated_at":"2026-05-18T00:50:24.399294+00:00"}