{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:L6USBXLDYD4ZX65Z6WXLTOKJAL","short_pith_number":"pith:L6USBXLD","schema_version":"1.0","canonical_sha256":"5fa920dd63c0f99bfbb9f5aeb9b94902e7ff9d09107e0cc1cf2f6794430b1d16","source":{"kind":"arxiv","id":"1206.1457","version":2},"attestation_state":"computed","paper":{"title":"Global well-posedness and stability of electro-kinetic flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Andr\\'e Fischer, Dieter Bothe, J\\\"urgen Saal","submitted_at":"2012-06-07T11:51:12Z","abstract_excerpt":"We consider a coupled system of Navier-Stokes and Nernst-Planck equations, describing the evolution of the velocity and the concentration fields of dissolved constituents in an electrolyte solution. Motivated by recent applications in the field of micro- and nanofluidics, we consider the model in such generality that electrokinetic flows are included. This prohibits employing the assumption of electroneutrality of the total solution, which is a common approach in the mathematical literature in order to determine the electrical potential. Therefore we complement the system of mass and momentum "},"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":"1206.1457","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-06-07T11:51:12Z","cross_cats_sorted":[],"title_canon_sha256":"708c4c4ba40a03a798ae8c3ccc059bd8f046130a52d17b81000f7410e44f0c84","abstract_canon_sha256":"737cda8de07301051e97368de1e5d16331d653419d0d1a9fe78e2cac910b720d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:53:53.976996Z","signature_b64":"XAiAAs04CMrH1KC+6sNFFhrrOPvQGBBdyhRcefR42P/obMyzlDyeLPRAJSwFzun3Gg9ZtvfMgNnAtMUIAXV3CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5fa920dd63c0f99bfbb9f5aeb9b94902e7ff9d09107e0cc1cf2f6794430b1d16","last_reissued_at":"2026-05-18T03:53:53.976412Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:53:53.976412Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Global well-posedness and stability of electro-kinetic flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Andr\\'e Fischer, Dieter Bothe, J\\\"urgen Saal","submitted_at":"2012-06-07T11:51:12Z","abstract_excerpt":"We consider a coupled system of Navier-Stokes and Nernst-Planck equations, describing the evolution of the velocity and the concentration fields of dissolved constituents in an electrolyte solution. Motivated by recent applications in the field of micro- and nanofluidics, we consider the model in such generality that electrokinetic flows are included. This prohibits employing the assumption of electroneutrality of the total solution, which is a common approach in the mathematical literature in order to determine the electrical potential. Therefore we complement the system of mass and momentum "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.1457","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":"1206.1457","created_at":"2026-05-18T03:53:53.976526+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.1457v2","created_at":"2026-05-18T03:53:53.976526+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.1457","created_at":"2026-05-18T03:53:53.976526+00:00"},{"alias_kind":"pith_short_12","alias_value":"L6USBXLDYD4Z","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"L6USBXLDYD4ZX65Z","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"L6USBXLD","created_at":"2026-05-18T12:27:14.488303+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/L6USBXLDYD4ZX65Z6WXLTOKJAL","json":"https://pith.science/pith/L6USBXLDYD4ZX65Z6WXLTOKJAL.json","graph_json":"https://pith.science/api/pith-number/L6USBXLDYD4ZX65Z6WXLTOKJAL/graph.json","events_json":"https://pith.science/api/pith-number/L6USBXLDYD4ZX65Z6WXLTOKJAL/events.json","paper":"https://pith.science/paper/L6USBXLD"},"agent_actions":{"view_html":"https://pith.science/pith/L6USBXLDYD4ZX65Z6WXLTOKJAL","download_json":"https://pith.science/pith/L6USBXLDYD4ZX65Z6WXLTOKJAL.json","view_paper":"https://pith.science/paper/L6USBXLD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.1457&json=true","fetch_graph":"https://pith.science/api/pith-number/L6USBXLDYD4ZX65Z6WXLTOKJAL/graph.json","fetch_events":"https://pith.science/api/pith-number/L6USBXLDYD4ZX65Z6WXLTOKJAL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L6USBXLDYD4ZX65Z6WXLTOKJAL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L6USBXLDYD4ZX65Z6WXLTOKJAL/action/storage_attestation","attest_author":"https://pith.science/pith/L6USBXLDYD4ZX65Z6WXLTOKJAL/action/author_attestation","sign_citation":"https://pith.science/pith/L6USBXLDYD4ZX65Z6WXLTOKJAL/action/citation_signature","submit_replication":"https://pith.science/pith/L6USBXLDYD4ZX65Z6WXLTOKJAL/action/replication_record"}},"created_at":"2026-05-18T03:53:53.976526+00:00","updated_at":"2026-05-18T03:53:53.976526+00:00"}