{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:MYHW66S4OMBKBNONYBHXVTXYOO","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6af1d58551bd38b22a75ba475e2404a27200f40cda458e944c1b98601310acb8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-06-11T00:55:32Z","title_canon_sha256":"24e9563a525512c8b87c27e948a737a7d6a36cc75336e19d17224a3cb74007f0"},"schema_version":"1.0","source":{"id":"1206.2075","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.2075","created_at":"2026-05-18T01:57:00Z"},{"alias_kind":"arxiv_version","alias_value":"1206.2075v1","created_at":"2026-05-18T01:57:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.2075","created_at":"2026-05-18T01:57:00Z"},{"alias_kind":"pith_short_12","alias_value":"MYHW66S4OMBK","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MYHW66S4OMBKBNON","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MYHW66S4","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:9701607e6e4b80bc6c11647999deb740f9db94fe872805ef9022e46081498de4","target":"graph","created_at":"2026-05-18T01:57:00Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"A new lattice method is presented in order to efficiently solve the electrokinetic equations, which describe the structure and dynamics of the charge cloud and the flow field surrounding a single charged colloidal sphere, or a fixed array of such objects. We focus on calculating the electrophoretic mobility in the limit of small driving field, and systematically linearise the equations with respect to the latter. This gives rise to several subproblems, each of which is solved by a specialised numerical algorithm. For the total problem we combine these solvers in an iterative procedure. Applyin","authors_text":"B. Duenweg, R. Schmitz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-06-11T00:55:32Z","title":"Numerical electrokinetics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.2075","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:e376f3a8790f2056f2a9ddd5e1dc9ec36fa405b30bf8921281d10c8f253291e4","target":"record","created_at":"2026-05-18T01:57:00Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"6af1d58551bd38b22a75ba475e2404a27200f40cda458e944c1b98601310acb8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-06-11T00:55:32Z","title_canon_sha256":"24e9563a525512c8b87c27e948a737a7d6a36cc75336e19d17224a3cb74007f0"},"schema_version":"1.0","source":{"id":"1206.2075","kind":"arxiv","version":1}},"canonical_sha256":"660f6f7a5c7302a0b5cdc04f7acef873927d5ea697c50f543e3f332cd2e433b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"660f6f7a5c7302a0b5cdc04f7acef873927d5ea697c50f543e3f332cd2e433b0","first_computed_at":"2026-05-18T01:57:00.202806Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:00.202806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gy0PANb3q600fmXMq6h4geXOQQbZfUxJcp7xHZNH0HFozTVrSgjqFe3K1zJSaKhJY51CfNK83DtWa13S0siWAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:00.203394Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.2075","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e376f3a8790f2056f2a9ddd5e1dc9ec36fa405b30bf8921281d10c8f253291e4","sha256:9701607e6e4b80bc6c11647999deb740f9db94fe872805ef9022e46081498de4"],"state_sha256":"c44d4dccde50796a386dcd01c94fd1ed697d433d33e03932aeb2ce5318ad0c99"}