{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DQEINC5W4D6WD73YMPSEULMYPG","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":"da1cd4e6776b2a67bf8f351a5f50d2940deba3d7dfecae643ac63d2ff7814bcd","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2015-07-17T01:47:06Z","title_canon_sha256":"8e9261b571cbcffbf738e1089a9fbd80ec9ba36a7e0018ee163438cb3b7a352f"},"schema_version":"1.0","source":{"id":"1507.04815","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.04815","created_at":"2026-05-18T01:00:10Z"},{"alias_kind":"arxiv_version","alias_value":"1507.04815v4","created_at":"2026-05-18T01:00:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.04815","created_at":"2026-05-18T01:00:10Z"},{"alias_kind":"pith_short_12","alias_value":"DQEINC5W4D6W","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DQEINC5W4D6WD73Y","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DQEINC5W","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:33a27d9eef599982e50573e4e80fcc842d69eee577194b9ffc130738efcaa507","target":"graph","created_at":"2026-05-18T01:00:10Z","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":"The interaction force between likely charged particles/surfaces is usually repulsive due to the Coulomb interaction. However, the counterintuitive like-charge attraction in electrolytes has been frequently observed in experiments, which has been theoretically debated for a long time. It is widely known that the mean field Poisson-Boltzmann theory cannot explain or predict this anomalous feature since it ignores many-body properties. In this paper, we develop efficient algorithm and perform the force calculation between two interfaces using a set of self-consistent equations which properly take","authors_text":"Manman Ma, Pei Liu, Zhenli Xu","cross_cats":["physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2015-07-17T01:47:06Z","title":"Understanding depletion induced like-charge attraction from self-consistent field model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.04815","kind":"arxiv","version":4},"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":"sha256:7b0dfdd1ce1e332d0c102a2b25c3d12ce0e7543a673fe1d74097d50ca7afbc64","target":"record","created_at":"2026-05-18T01:00:10Z","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":"da1cd4e6776b2a67bf8f351a5f50d2940deba3d7dfecae643ac63d2ff7814bcd","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2015-07-17T01:47:06Z","title_canon_sha256":"8e9261b571cbcffbf738e1089a9fbd80ec9ba36a7e0018ee163438cb3b7a352f"},"schema_version":"1.0","source":{"id":"1507.04815","kind":"arxiv","version":4}},"canonical_sha256":"1c08868bb6e0fd61ff7863e44a2d9879962d85059e99f89ff038e18fe9d26696","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c08868bb6e0fd61ff7863e44a2d9879962d85059e99f89ff038e18fe9d26696","first_computed_at":"2026-05-18T01:00:10.153395Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:10.153395Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"74J7L0nFRTms1rCVba3PJiwk9jbGdPw7qrSVM1g44a5q3KzYjg3+ZrINGk9Pbpax8EB3L7lxpvSeBmHHf7NdDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:10.153986Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.04815","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b0dfdd1ce1e332d0c102a2b25c3d12ce0e7543a673fe1d74097d50ca7afbc64","sha256:33a27d9eef599982e50573e4e80fcc842d69eee577194b9ffc130738efcaa507"],"state_sha256":"ab18dff214ef5a90b4b2edbef6551aad5367845bef8711e9bb2db42c6d336729"}