{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5PWGLED6ZLADUDFIIOUNUCAB55","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":"e6add3a9b05fe551c157aa2394688b8d9a4ca0891fd060fb62750238a9d431c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-08-16T20:11:04Z","title_canon_sha256":"281d3ffd7b2777e79e5b345ea12d6e8426dca64f1b879e339f6b4400ff86eae5"},"schema_version":"1.0","source":{"id":"1308.3711","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.3711","created_at":"2026-05-18T03:15:42Z"},{"alias_kind":"arxiv_version","alias_value":"1308.3711v1","created_at":"2026-05-18T03:15:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.3711","created_at":"2026-05-18T03:15:42Z"},{"alias_kind":"pith_short_12","alias_value":"5PWGLED6ZLAD","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5PWGLED6ZLADUDFI","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5PWGLED6","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:179175f418a7f56c4a5f4623442094d01d10b1c61e49ab4929ef14c2b0b66773","target":"graph","created_at":"2026-05-18T03:15:42Z","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 present a theory of effective electrostatic interactions in polydisperse suspensions of charged macroions, generalizing to mixtures a theory previously developed for monodisperse suspensions. Combining linear response theory with a random phase approximation for microion correlations, we coarse-grain the microion degrees of freedom to derive general expressions for effective macroion-macroion pair potentials and a one-body volume energy. For model mixtures of charged hard-sphere colloids, we give explicit analytical expressions. The resulting effective pair potentials have the same general ","authors_text":"Alan R. Denton, Jun Kyung Chung","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-08-16T20:11:04Z","title":"Effective electrostatic interactions in mixtures of charged colloids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.3711","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":"sha256:359acbdeb2c2f6bd61602d43a3c74489756f574d7bc000666903c98da6e44956","target":"record","created_at":"2026-05-18T03:15:42Z","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":"e6add3a9b05fe551c157aa2394688b8d9a4ca0891fd060fb62750238a9d431c4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-08-16T20:11:04Z","title_canon_sha256":"281d3ffd7b2777e79e5b345ea12d6e8426dca64f1b879e339f6b4400ff86eae5"},"schema_version":"1.0","source":{"id":"1308.3711","kind":"arxiv","version":1}},"canonical_sha256":"ebec65907ecac03a0ca843a8da0801ef756ab0d9d209c07c011069ae85c2a802","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ebec65907ecac03a0ca843a8da0801ef756ab0d9d209c07c011069ae85c2a802","first_computed_at":"2026-05-18T03:15:42.791209Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:42.791209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kjPf0FbSgHX/IXuFoff82IwmCC3VUgq5rqm6CbyJVeOQNrqksgp5HXnvhj1WQMTiboKOxo+sLRN/5yXMTJyPBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:42.791867Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.3711","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:359acbdeb2c2f6bd61602d43a3c74489756f574d7bc000666903c98da6e44956","sha256:179175f418a7f56c4a5f4623442094d01d10b1c61e49ab4929ef14c2b0b66773"],"state_sha256":"3afb9a9ada6fc0bf43de0d3ad7861d26c848e78d7fe0306418b9463ec44eb1d6"}