{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:XFL7L2ZEGNJLNTADBOKZAOR5CI","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":"b2fec9890bdfd45a2b2d723367dfa7dd80aadc1e5707dc38d47a473922270982","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-11-14T04:40:07Z","title_canon_sha256":"975049ccefd6eedcbd8a78c46bcb7081705cf375c5814a0ed9b3e2b3bbab0954"},"schema_version":"1.0","source":{"id":"1711.04949","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.04949","created_at":"2026-05-17T23:42:43Z"},{"alias_kind":"arxiv_version","alias_value":"1711.04949v6","created_at":"2026-05-17T23:42:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.04949","created_at":"2026-05-17T23:42:43Z"},{"alias_kind":"pith_short_12","alias_value":"XFL7L2ZEGNJL","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"XFL7L2ZEGNJLNTAD","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"XFL7L2ZE","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:8c240f8c3400a36179975f4b8de9ee68dc4c8d24b06727674e9a42d6acdc81af","target":"graph","created_at":"2026-05-17T23:42:43Z","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 Poisson-Boltzmann (PB) theory is widely used to depict ionic systems. As a mean-field theory, the PB theory neglects the correlation effect in the ionic atmosphere and leads to deviations from experimental results as the concentration or charge valance increases. A modified PB theory including ion correlation effect while retaining its simplicity is critical for many important applications in which ion correlation effect can be significant. In this paper, we present a new model to incorporate ion correlations into the original PB equation by utilizing the Green's function with a non-linear","authors_text":"Mao Su, Yanting Wang, Zhijie Xu","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-11-14T04:40:07Z","title":"Poisson-Boltzmann theory with non-linear ion correlations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.04949","kind":"arxiv","version":6},"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":"sha256:96071d6a8fbcb08a7798567aa61be763c759b8b17bd90665a20b0be88f0c6052","target":"record","created_at":"2026-05-17T23:42:43Z","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":"b2fec9890bdfd45a2b2d723367dfa7dd80aadc1e5707dc38d47a473922270982","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2017-11-14T04:40:07Z","title_canon_sha256":"975049ccefd6eedcbd8a78c46bcb7081705cf375c5814a0ed9b3e2b3bbab0954"},"schema_version":"1.0","source":{"id":"1711.04949","kind":"arxiv","version":6}},"canonical_sha256":"b957f5eb243352b6cc030b95903a3d120c237d85fab4afe22ef2721da0b7859d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b957f5eb243352b6cc030b95903a3d120c237d85fab4afe22ef2721da0b7859d","first_computed_at":"2026-05-17T23:42:43.521897Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:43.521897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p9KVmqvDyrx+7hHkcKTNi7ip5WBMEHIE+ABOAmC4jQ3MBC0zyYsgyK28NWbHa6yEYSBox1TEhOlaDJp3hJRfCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:43.522576Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.04949","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96071d6a8fbcb08a7798567aa61be763c759b8b17bd90665a20b0be88f0c6052","sha256:8c240f8c3400a36179975f4b8de9ee68dc4c8d24b06727674e9a42d6acdc81af"],"state_sha256":"e36b345f93fbe64d0983272853c3c7ee30cac667b18746b3ccf4534312012927"}