{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:FJ4QGZ376XWDVFVWRZZW4A5RKQ","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":"23590cb030b3c740f29c3885ffc23fcf830585a2a198e625f464f5209b1d31c8","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.mtrl-sci","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-06-20T15:31:31Z","title_canon_sha256":"f5740f31c6038573b9570115e97eb772aba00da4cd919867e8405b3d4aa795fa"},"schema_version":"1.0","source":{"id":"1206.4538","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.4538","created_at":"2026-05-18T03:53:05Z"},{"alias_kind":"arxiv_version","alias_value":"1206.4538v1","created_at":"2026-05-18T03:53:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.4538","created_at":"2026-05-18T03:53:05Z"},{"alias_kind":"pith_short_12","alias_value":"FJ4QGZ376XWD","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FJ4QGZ376XWDVFVW","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FJ4QGZ37","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:7dcc255e0cbdde3def9171af542da55e30675a34b0187d7cf35af06d5d99221f","target":"graph","created_at":"2026-05-18T03:53:05Z","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":"Understanding the effect of inhomogeneity on the charge regulation and dielectric properties, and how it depends on the conformational characteristics of the macromolecules is a long-standing problem. In order to address this problem, we have developed a field-theory to study charge regulation and local dielectric function in planar polyelectrolyte brushes. The theory is used to study a polyacid brush, which is comprised of chains end-grafted at the solid-fluid interface, in equilibrium with a bulk solution containing monovalent salt ions, solvent molecules and pH controlling acid. In particul","authors_text":"Bobby G. Sumpter, Rajeev Kumar, S.Michael Kilbey II","cross_cats":["cond-mat.mes-hall","cond-mat.mtrl-sci","cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-06-20T15:31:31Z","title":"Charge regulation and local dielectric function in planar polyelectrolyte brushes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.4538","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:f794f1e394c1ccdf467adaf429825e31598cb2d877b63845c23c88a64cd1e98c","target":"record","created_at":"2026-05-18T03:53:05Z","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":"23590cb030b3c740f29c3885ffc23fcf830585a2a198e625f464f5209b1d31c8","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.mtrl-sci","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-06-20T15:31:31Z","title_canon_sha256":"f5740f31c6038573b9570115e97eb772aba00da4cd919867e8405b3d4aa795fa"},"schema_version":"1.0","source":{"id":"1206.4538","kind":"arxiv","version":1}},"canonical_sha256":"2a7903677ff5ec3a96b68e736e03b15407d9d31982d0ecc963cbb46704d0567d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a7903677ff5ec3a96b68e736e03b15407d9d31982d0ecc963cbb46704d0567d","first_computed_at":"2026-05-18T03:53:05.487454Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:53:05.487454Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QSZR/VGCRuuw16DpFja8coWwBVyaxt5avBIL36Xd8F0Lo8xNwKTiKcWAB5dO/CigkJinFSxQU88HqU4WWK6XAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:53:05.488259Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.4538","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f794f1e394c1ccdf467adaf429825e31598cb2d877b63845c23c88a64cd1e98c","sha256:7dcc255e0cbdde3def9171af542da55e30675a34b0187d7cf35af06d5d99221f"],"state_sha256":"89115155cd471a9e2434ae428acd1a43bade16dd639f7a71c5fcd7b6d039fca8"}