{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:WY4XV3PPC4XBXVPEFKTOKQUHEV","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":"28f31d41efaaf87381353dbfa23ff5e3eeabd2c1243d13383fdf18f4cdafec8f","cross_cats_sorted":["cond-mat.stat-mech","q-bio.SC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2014-04-06T05:54:10Z","title_canon_sha256":"ddea950aa73e24575c04b4ae4f09d5ce3d02a8e4a5c78a6e3ca1f5be2410213b"},"schema_version":"1.0","source":{"id":"1404.1548","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.1548","created_at":"2026-05-18T02:51:48Z"},{"alias_kind":"arxiv_version","alias_value":"1404.1548v1","created_at":"2026-05-18T02:51:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.1548","created_at":"2026-05-18T02:51:48Z"},{"alias_kind":"pith_short_12","alias_value":"WY4XV3PPC4XB","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WY4XV3PPC4XBXVPE","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WY4XV3PP","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:2b151272e285756b45ec89bd74cffaf34bd0473d498bb85b5f08707142c0d81d","target":"graph","created_at":"2026-05-18T02:51:48Z","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":"Brownian ratchet like stochastic theory for the electrochemical membrane system of Hodgkin-Huxley (HH) is developed. The system is characterized by a continuous variable $Q_m(t)$, representing mobile membrane charge density, and a discrete variable $K_t$ representing ion channel conformational dynamics. A Nernst-Planck-Nyquist-Johnson type equilibrium is obtained when multiple conducting ions have a common reversal potential. Detailed balance yields a previously unknown relation between the channel switching rates and membrane capacitance, bypassing Eyring-type explicit treatment of gating cha","authors_text":"Hong Qian, Min Qian, Xue-Juan Zhang","cross_cats":["cond-mat.stat-mech","q-bio.SC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2014-04-06T05:54:10Z","title":"Stochastic Dynamics of Electrical Membrane with Voltage-Dependent Ion Channel Fluctuations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.1548","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:ccdf697ab4284eeac89238ddda173693e84c9cf2765c99b8a37f8268dfe4c686","target":"record","created_at":"2026-05-18T02:51:48Z","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":"28f31d41efaaf87381353dbfa23ff5e3eeabd2c1243d13383fdf18f4cdafec8f","cross_cats_sorted":["cond-mat.stat-mech","q-bio.SC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2014-04-06T05:54:10Z","title_canon_sha256":"ddea950aa73e24575c04b4ae4f09d5ce3d02a8e4a5c78a6e3ca1f5be2410213b"},"schema_version":"1.0","source":{"id":"1404.1548","kind":"arxiv","version":1}},"canonical_sha256":"b6397aedef172e1bd5e42aa6e5428725665b46aeb36634fb94a357a2e2d543cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b6397aedef172e1bd5e42aa6e5428725665b46aeb36634fb94a357a2e2d543cb","first_computed_at":"2026-05-18T02:51:48.254301Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:48.254301Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eRYPmotJjZPxgG/tMiq//m5p223Yvs6EbE1QI9BC80ZaC9n420bJwmCGQivWbtRwLDtTIr81p8IWCBPtbUIfDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:48.254796Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.1548","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ccdf697ab4284eeac89238ddda173693e84c9cf2765c99b8a37f8268dfe4c686","sha256:2b151272e285756b45ec89bd74cffaf34bd0473d498bb85b5f08707142c0d81d"],"state_sha256":"3c01b54c53959869048a438407265f2c4e433b53ecbc8232d3543599767c76d8"}