{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:M23AIEUPBRSK7XUTBGWBWNHZIT","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":"3795b65043bb1f10a90015f00bb2370c3531b107524679a16e91a7056587120a","cross_cats_sorted":["physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2015-07-16T11:56:17Z","title_canon_sha256":"1b2289e99ef5d3342f3be084f9031bcc5fb789e5836dc8fa0c91e2e98b59fbc7"},"schema_version":"1.0","source":{"id":"1507.04533","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.04533","created_at":"2026-05-18T01:36:47Z"},{"alias_kind":"arxiv_version","alias_value":"1507.04533v1","created_at":"2026-05-18T01:36:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.04533","created_at":"2026-05-18T01:36:47Z"},{"alias_kind":"pith_short_12","alias_value":"M23AIEUPBRSK","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"M23AIEUPBRSK7XUT","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"M23AIEUP","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:0bc7d3e8fb05f006afa88828cc7aa509f1b320f710c9429c326c5917b34dc5bc","target":"graph","created_at":"2026-05-18T01:36:47Z","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":"We study the Poisson-Boltzmann equation in the context of dense charged fluids where steric effects become important. We generalise the lattice gas theory by introducing a Flory-Huggins entropy for ions of differing volumes and then compare the effective free energy density to other approximations, valid for more realistic equations of state, such as the Carnahan-Starling approximation and find strong differences in the shapes of the free energy functions. We solve the Carnahan-Starling model in the high density limit, and demonstrate a slow, power-law convergence at high potentials. We elucid","authors_text":"A.C. Maggs, R. Podgornik","cross_cats":["physics.chem-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2015-07-16T11:56:17Z","title":"General theory of asymmetric steric interactions in electrostatic double layers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.04533","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":"sha256:537dbfe35767aaeaea3b016c40476062f27608387f772092e1d1902debff4ac6","target":"record","created_at":"2026-05-18T01:36:47Z","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":"3795b65043bb1f10a90015f00bb2370c3531b107524679a16e91a7056587120a","cross_cats_sorted":["physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2015-07-16T11:56:17Z","title_canon_sha256":"1b2289e99ef5d3342f3be084f9031bcc5fb789e5836dc8fa0c91e2e98b59fbc7"},"schema_version":"1.0","source":{"id":"1507.04533","kind":"arxiv","version":1}},"canonical_sha256":"66b604128f0c64afde9309ac1b34f944fa55eb3a6d9c0d34820c0e982ae0b5fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"66b604128f0c64afde9309ac1b34f944fa55eb3a6d9c0d34820c0e982ae0b5fb","first_computed_at":"2026-05-18T01:36:47.066536Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:47.066536Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9iIYMfW7/kCeY+gCIz4+L/C0Hul/6aI0RaFd+PMWb3ffXT9ziT8lAmXJamWV1Al+cYhERUUGwVcqTaH1DuI7Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:47.067070Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.04533","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:537dbfe35767aaeaea3b016c40476062f27608387f772092e1d1902debff4ac6","sha256:0bc7d3e8fb05f006afa88828cc7aa509f1b320f710c9429c326c5917b34dc5bc"],"state_sha256":"7e30920a7df77e09dcb5e1d036e7287da06a6a15fd700ea0b812214dd2edb074"}