{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:H7YYNO45DCINT3GHKBUVGZGFIE","short_pith_number":"pith:H7YYNO45","canonical_record":{"source":{"id":"0806.4321","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2008-06-26T14:27:34Z","cross_cats_sorted":[],"title_canon_sha256":"49a2efd882e56091cd2223f5c887979c283889cc9aad889841f25a34beaaef31","abstract_canon_sha256":"a92670949185f36bf5f1dd3119a353b2b1f485182d19884420a326d00f7208de"},"schema_version":"1.0"},"canonical_sha256":"3ff186bb9d1890d9ecc750695364c54110945c2b8e99be06fa26aa8e03f82439","source":{"kind":"arxiv","id":"0806.4321","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.4321","created_at":"2026-05-18T02:15:46Z"},{"alias_kind":"arxiv_version","alias_value":"0806.4321v2","created_at":"2026-05-18T02:15:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.4321","created_at":"2026-05-18T02:15:46Z"},{"alias_kind":"pith_short_12","alias_value":"H7YYNO45DCIN","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"H7YYNO45DCINT3GH","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"H7YYNO45","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:H7YYNO45DCINT3GHKBUVGZGFIE","target":"record","payload":{"canonical_record":{"source":{"id":"0806.4321","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2008-06-26T14:27:34Z","cross_cats_sorted":[],"title_canon_sha256":"49a2efd882e56091cd2223f5c887979c283889cc9aad889841f25a34beaaef31","abstract_canon_sha256":"a92670949185f36bf5f1dd3119a353b2b1f485182d19884420a326d00f7208de"},"schema_version":"1.0"},"canonical_sha256":"3ff186bb9d1890d9ecc750695364c54110945c2b8e99be06fa26aa8e03f82439","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:46.011857Z","signature_b64":"JACZSVF09nulQC2LF+ou9VxSiZE+n1G38tk9//jCCpjYrRjENMEMzYCMEVGcpz+GdpfemmkJtJAs1O61yZckBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ff186bb9d1890d9ecc750695364c54110945c2b8e99be06fa26aa8e03f82439","last_reissued_at":"2026-05-18T02:15:46.011084Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:46.011084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0806.4321","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:15:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b5aj8Suz/WL1q6OV+kkpCSrGmGsJubEmIYLMA8c4WFaxXzjDfUxXHV4zwZMaPZojO0UH2DNjN5vpkgafQmeVAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:44:22.958543Z"},"content_sha256":"8d069f72990e6d5a3601cf4566ce12c13fb3e027191aeade0f39c7f403353fd7","schema_version":"1.0","event_id":"sha256:8d069f72990e6d5a3601cf4566ce12c13fb3e027191aeade0f39c7f403353fd7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:H7YYNO45DCINT3GHKBUVGZGFIE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Electrostatic and electrokinetic contributions to the elastic moduli of a driven membrane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"D. Lacoste, G. I. Menon, J. F. Joanny, M. Z. Bazant","submitted_at":"2008-06-26T14:27:34Z","abstract_excerpt":"We discuss the electrostatic contribution to the elastic moduli of a cell or artificial membrane placed in an electrolyte and driven by a DC electric field. The field drives ion currents across the membrane, through specific channels, pumps or natural pores. In steady state, charges accumulate in the Debye layers close to the membrane, modifying the membrane elastic moduli. We first study a model of a membrane of zero thickness, later generalizing this treatment to allow for a finite thickness and finite dielectric constant. Our results clarify and extend the results presented in [D. Lacoste, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.4321","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:15:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tDNs4OLgHUFlF2Dl3S2UEOs9V5wtE92v5js+L5zX29LmavKyfPrg7OCEEpD+832axKCBYbkHQNJad91bu62KBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:44:22.959181Z"},"content_sha256":"b6743dc539af304222ff83afe0ce880476cafc7d66968c11246a906d5b60439f","schema_version":"1.0","event_id":"sha256:b6743dc539af304222ff83afe0ce880476cafc7d66968c11246a906d5b60439f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H7YYNO45DCINT3GHKBUVGZGFIE/bundle.json","state_url":"https://pith.science/pith/H7YYNO45DCINT3GHKBUVGZGFIE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H7YYNO45DCINT3GHKBUVGZGFIE/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T19:44:22Z","links":{"resolver":"https://pith.science/pith/H7YYNO45DCINT3GHKBUVGZGFIE","bundle":"https://pith.science/pith/H7YYNO45DCINT3GHKBUVGZGFIE/bundle.json","state":"https://pith.science/pith/H7YYNO45DCINT3GHKBUVGZGFIE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H7YYNO45DCINT3GHKBUVGZGFIE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:H7YYNO45DCINT3GHKBUVGZGFIE","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":"a92670949185f36bf5f1dd3119a353b2b1f485182d19884420a326d00f7208de","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2008-06-26T14:27:34Z","title_canon_sha256":"49a2efd882e56091cd2223f5c887979c283889cc9aad889841f25a34beaaef31"},"schema_version":"1.0","source":{"id":"0806.4321","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.4321","created_at":"2026-05-18T02:15:46Z"},{"alias_kind":"arxiv_version","alias_value":"0806.4321v2","created_at":"2026-05-18T02:15:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.4321","created_at":"2026-05-18T02:15:46Z"},{"alias_kind":"pith_short_12","alias_value":"H7YYNO45DCIN","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"H7YYNO45DCINT3GH","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"H7YYNO45","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:b6743dc539af304222ff83afe0ce880476cafc7d66968c11246a906d5b60439f","target":"graph","created_at":"2026-05-18T02:15:46Z","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 discuss the electrostatic contribution to the elastic moduli of a cell or artificial membrane placed in an electrolyte and driven by a DC electric field. The field drives ion currents across the membrane, through specific channels, pumps or natural pores. In steady state, charges accumulate in the Debye layers close to the membrane, modifying the membrane elastic moduli. We first study a model of a membrane of zero thickness, later generalizing this treatment to allow for a finite thickness and finite dielectric constant. Our results clarify and extend the results presented in [D. Lacoste, ","authors_text":"D. Lacoste, G. I. Menon, J. F. Joanny, M. Z. Bazant","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2008-06-26T14:27:34Z","title":"Electrostatic and electrokinetic contributions to the elastic moduli of a driven membrane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.4321","kind":"arxiv","version":2},"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":"sha256:8d069f72990e6d5a3601cf4566ce12c13fb3e027191aeade0f39c7f403353fd7","target":"record","created_at":"2026-05-18T02:15:46Z","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":"a92670949185f36bf5f1dd3119a353b2b1f485182d19884420a326d00f7208de","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2008-06-26T14:27:34Z","title_canon_sha256":"49a2efd882e56091cd2223f5c887979c283889cc9aad889841f25a34beaaef31"},"schema_version":"1.0","source":{"id":"0806.4321","kind":"arxiv","version":2}},"canonical_sha256":"3ff186bb9d1890d9ecc750695364c54110945c2b8e99be06fa26aa8e03f82439","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ff186bb9d1890d9ecc750695364c54110945c2b8e99be06fa26aa8e03f82439","first_computed_at":"2026-05-18T02:15:46.011084Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:46.011084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JACZSVF09nulQC2LF+ou9VxSiZE+n1G38tk9//jCCpjYrRjENMEMzYCMEVGcpz+GdpfemmkJtJAs1O61yZckBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:46.011857Z","signed_message":"canonical_sha256_bytes"},"source_id":"0806.4321","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d069f72990e6d5a3601cf4566ce12c13fb3e027191aeade0f39c7f403353fd7","sha256:b6743dc539af304222ff83afe0ce880476cafc7d66968c11246a906d5b60439f"],"state_sha256":"191114f93feb104b779bcbbcc3c0bd895055c69aac2c979dd469ed24b58fc453"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jHLWL2mFmPXbj2DLJuhnezQrbKrpOez7O4aWgJfsziGi1Rqo+GX8ojTT7ypbDxYZA+dqjlh+MWw2mDhGzoR7AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T19:44:22.962947Z","bundle_sha256":"5f3cefb17e8bc6c1314ef7488cd611598f0590e13028e33b75d6382c65579783"}}