{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:NWAD2U54PFJTN2HGU5VJEGU6JW","short_pith_number":"pith:NWAD2U54","schema_version":"1.0","canonical_sha256":"6d803d53bc795336e8e6a76a921a9e4dbaafe32e3c01c4a858cb9cc42e2b1060","source":{"kind":"arxiv","id":"1809.06717","version":2},"attestation_state":"computed","paper":{"title":"Efficient solver for a special class of convection-diffusion problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"physics.comp-ph","authors_text":"Ingo Gregor, Jan Christoph Thiele, J\\\"org Enderlein, Narain Karedla","submitted_at":"2018-09-16T13:10:44Z","abstract_excerpt":"We describe an exact and highly efficient numerical algorithm for solving a special but important class of convection-diffusion equations. These equations occur in many problems in physics, chemistry, or biology, and they are usually hard to treat due to the presence of a convection term, represented by a first order derivative in the spatial co-ordinate. Our algorithm reduces the convection-diffusion equation to a pure diffusion problem within a complex-valued potential which can be solved efficiently and accurately using conventional parabolic partial differential equation solvers."},"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":"1809.06717","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2018-09-16T13:10:44Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"bd4849be747ecf892ca07e73991229ab3aeba1c2455b697cff0e21dfccd760f6","abstract_canon_sha256":"2667e3f099a23db90bb902c296df9e587638afc94459a93527f9cbfa4e842db6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:12.461807Z","signature_b64":"u1ZSrj+Wa43U3Rvxz8EF8mvtexTM4ak7NJg9T7ky+s39d6DTA5cfsgy/t4wyflS7ncKHchl1Pjl/Ov9Hu0QfBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d803d53bc795336e8e6a76a921a9e4dbaafe32e3c01c4a858cb9cc42e2b1060","last_reissued_at":"2026-05-17T23:50:12.461364Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:12.461364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Efficient solver for a special class of convection-diffusion problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"physics.comp-ph","authors_text":"Ingo Gregor, Jan Christoph Thiele, J\\\"org Enderlein, Narain Karedla","submitted_at":"2018-09-16T13:10:44Z","abstract_excerpt":"We describe an exact and highly efficient numerical algorithm for solving a special but important class of convection-diffusion equations. These equations occur in many problems in physics, chemistry, or biology, and they are usually hard to treat due to the presence of a convection term, represented by a first order derivative in the spatial co-ordinate. Our algorithm reduces the convection-diffusion equation to a pure diffusion problem within a complex-valued potential which can be solved efficiently and accurately using conventional parabolic partial differential equation solvers."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.06717","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":"1809.06717","created_at":"2026-05-17T23:50:12.461437+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.06717v2","created_at":"2026-05-17T23:50:12.461437+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.06717","created_at":"2026-05-17T23:50:12.461437+00:00"},{"alias_kind":"pith_short_12","alias_value":"NWAD2U54PFJT","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_16","alias_value":"NWAD2U54PFJTN2HG","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_8","alias_value":"NWAD2U54","created_at":"2026-05-18T12:32:40.477152+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/NWAD2U54PFJTN2HGU5VJEGU6JW","json":"https://pith.science/pith/NWAD2U54PFJTN2HGU5VJEGU6JW.json","graph_json":"https://pith.science/api/pith-number/NWAD2U54PFJTN2HGU5VJEGU6JW/graph.json","events_json":"https://pith.science/api/pith-number/NWAD2U54PFJTN2HGU5VJEGU6JW/events.json","paper":"https://pith.science/paper/NWAD2U54"},"agent_actions":{"view_html":"https://pith.science/pith/NWAD2U54PFJTN2HGU5VJEGU6JW","download_json":"https://pith.science/pith/NWAD2U54PFJTN2HGU5VJEGU6JW.json","view_paper":"https://pith.science/paper/NWAD2U54","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.06717&json=true","fetch_graph":"https://pith.science/api/pith-number/NWAD2U54PFJTN2HGU5VJEGU6JW/graph.json","fetch_events":"https://pith.science/api/pith-number/NWAD2U54PFJTN2HGU5VJEGU6JW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NWAD2U54PFJTN2HGU5VJEGU6JW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NWAD2U54PFJTN2HGU5VJEGU6JW/action/storage_attestation","attest_author":"https://pith.science/pith/NWAD2U54PFJTN2HGU5VJEGU6JW/action/author_attestation","sign_citation":"https://pith.science/pith/NWAD2U54PFJTN2HGU5VJEGU6JW/action/citation_signature","submit_replication":"https://pith.science/pith/NWAD2U54PFJTN2HGU5VJEGU6JW/action/replication_record"}},"created_at":"2026-05-17T23:50:12.461437+00:00","updated_at":"2026-05-17T23:50:12.461437+00:00"}