{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:FJIE7UHBK6I5N66YZZFQMBUFBT","short_pith_number":"pith:FJIE7UHB","canonical_record":{"source":{"id":"1307.1341","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2013-07-04T14:17:06Z","cross_cats_sorted":[],"title_canon_sha256":"c28e354f862fd649b31401a8087422da17cb7b8eb2a01f81bdad0b971c7ddfbd","abstract_canon_sha256":"c85fa4d59d08ae87b8a490ab8b77dcd3848bcecf1fc1cde624c104a8b1e14678"},"schema_version":"1.0"},"canonical_sha256":"2a504fd0e15791d6fbd8ce4b0606850cf9f13afcfffe1334f2279691d560459c","source":{"kind":"arxiv","id":"1307.1341","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.1341","created_at":"2026-05-18T01:48:59Z"},{"alias_kind":"arxiv_version","alias_value":"1307.1341v1","created_at":"2026-05-18T01:48:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.1341","created_at":"2026-05-18T01:48:59Z"},{"alias_kind":"pith_short_12","alias_value":"FJIE7UHBK6I5","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FJIE7UHBK6I5N66Y","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FJIE7UHB","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:FJIE7UHBK6I5N66YZZFQMBUFBT","target":"record","payload":{"canonical_record":{"source":{"id":"1307.1341","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2013-07-04T14:17:06Z","cross_cats_sorted":[],"title_canon_sha256":"c28e354f862fd649b31401a8087422da17cb7b8eb2a01f81bdad0b971c7ddfbd","abstract_canon_sha256":"c85fa4d59d08ae87b8a490ab8b77dcd3848bcecf1fc1cde624c104a8b1e14678"},"schema_version":"1.0"},"canonical_sha256":"2a504fd0e15791d6fbd8ce4b0606850cf9f13afcfffe1334f2279691d560459c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:48:59.716435Z","signature_b64":"8vT0BoZFeYJZ9FknM3fp2I1hLiu1hSHWBH662XvIQ5JkaNy5nKAp5jk07r2AVzYH6ZkrhT/Hstm9887L9QaiDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a504fd0e15791d6fbd8ce4b0606850cf9f13afcfffe1334f2279691d560459c","last_reissued_at":"2026-05-18T01:48:59.715912Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:48:59.715912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.1341","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:48:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IVgUSMHoFKizHTcjJaltqNzXlVNS0xEFcU6Fsi/mKdqZEMEDIHc/ZCfGi9V1d7DoZj5/gymUixGIeqpubXMHCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:40:22.329592Z"},"content_sha256":"b0a93e56dfbe48bced707b15b73b49f68b67567d49b2936ecc42a74a82c277a5","schema_version":"1.0","event_id":"sha256:b0a93e56dfbe48bced707b15b73b49f68b67567d49b2936ecc42a74a82c277a5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:FJIE7UHBK6I5N66YZZFQMBUFBT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Kramers-Kronig relations for usual and anomalous Poisson-Nernst-Planck models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.other","authors_text":"Ervin Kaminski Lenzi, Giovanni Barbero, Luiz Roberto Evangelista","submitted_at":"2013-07-04T14:17:06Z","abstract_excerpt":"The consistency of the frequency response predicted by a class of electrochemical impedance expressions is analytically checked by invoking the Kramers-Kronig (KK) relations. These expressions are obtained in the context of Poisson-Nernst-Planck usual (PNP) or anomalous (PNPA) diffusional models that satisfy Poisson's equation in a finite-length situation. The theoretical results, besides being successful in interpreting experimental data, are also shown to obey the KK relations when these relations are modified accordingly"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.1341","kind":"arxiv","version":1},"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":"2026-05-18T01:48:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fTggtA0bj+d3WwRCFbErHvq/2rSHldJcQ8Wv+Uucjcj5elwl0Pe8d00325AM3tPJWJLT5OjejYYIsw4WbziWCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:40:22.330355Z"},"content_sha256":"28276c6341025c4b3966579d6fb3c81c9ac3f01a816f711af8e4fcde438a1ac2","schema_version":"1.0","event_id":"sha256:28276c6341025c4b3966579d6fb3c81c9ac3f01a816f711af8e4fcde438a1ac2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FJIE7UHBK6I5N66YZZFQMBUFBT/bundle.json","state_url":"https://pith.science/pith/FJIE7UHBK6I5N66YZZFQMBUFBT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FJIE7UHBK6I5N66YZZFQMBUFBT/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":"2026-06-09T19:40:22Z","links":{"resolver":"https://pith.science/pith/FJIE7UHBK6I5N66YZZFQMBUFBT","bundle":"https://pith.science/pith/FJIE7UHBK6I5N66YZZFQMBUFBT/bundle.json","state":"https://pith.science/pith/FJIE7UHBK6I5N66YZZFQMBUFBT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FJIE7UHBK6I5N66YZZFQMBUFBT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FJIE7UHBK6I5N66YZZFQMBUFBT","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":"c85fa4d59d08ae87b8a490ab8b77dcd3848bcecf1fc1cde624c104a8b1e14678","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2013-07-04T14:17:06Z","title_canon_sha256":"c28e354f862fd649b31401a8087422da17cb7b8eb2a01f81bdad0b971c7ddfbd"},"schema_version":"1.0","source":{"id":"1307.1341","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.1341","created_at":"2026-05-18T01:48:59Z"},{"alias_kind":"arxiv_version","alias_value":"1307.1341v1","created_at":"2026-05-18T01:48:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.1341","created_at":"2026-05-18T01:48:59Z"},{"alias_kind":"pith_short_12","alias_value":"FJIE7UHBK6I5","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FJIE7UHBK6I5N66Y","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FJIE7UHB","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:28276c6341025c4b3966579d6fb3c81c9ac3f01a816f711af8e4fcde438a1ac2","target":"graph","created_at":"2026-05-18T01:48:59Z","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":"The consistency of the frequency response predicted by a class of electrochemical impedance expressions is analytically checked by invoking the Kramers-Kronig (KK) relations. These expressions are obtained in the context of Poisson-Nernst-Planck usual (PNP) or anomalous (PNPA) diffusional models that satisfy Poisson's equation in a finite-length situation. The theoretical results, besides being successful in interpreting experimental data, are also shown to obey the KK relations when these relations are modified accordingly","authors_text":"Ervin Kaminski Lenzi, Giovanni Barbero, Luiz Roberto Evangelista","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2013-07-04T14:17:06Z","title":"The Kramers-Kronig relations for usual and anomalous Poisson-Nernst-Planck models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.1341","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:b0a93e56dfbe48bced707b15b73b49f68b67567d49b2936ecc42a74a82c277a5","target":"record","created_at":"2026-05-18T01:48:59Z","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":"c85fa4d59d08ae87b8a490ab8b77dcd3848bcecf1fc1cde624c104a8b1e14678","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2013-07-04T14:17:06Z","title_canon_sha256":"c28e354f862fd649b31401a8087422da17cb7b8eb2a01f81bdad0b971c7ddfbd"},"schema_version":"1.0","source":{"id":"1307.1341","kind":"arxiv","version":1}},"canonical_sha256":"2a504fd0e15791d6fbd8ce4b0606850cf9f13afcfffe1334f2279691d560459c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a504fd0e15791d6fbd8ce4b0606850cf9f13afcfffe1334f2279691d560459c","first_computed_at":"2026-05-18T01:48:59.715912Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:48:59.715912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8vT0BoZFeYJZ9FknM3fp2I1hLiu1hSHWBH662XvIQ5JkaNy5nKAp5jk07r2AVzYH6ZkrhT/Hstm9887L9QaiDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:48:59.716435Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.1341","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0a93e56dfbe48bced707b15b73b49f68b67567d49b2936ecc42a74a82c277a5","sha256:28276c6341025c4b3966579d6fb3c81c9ac3f01a816f711af8e4fcde438a1ac2"],"state_sha256":"be4aac5f88b86eeee1e2c3fe9e9f660f6ae78b7ed822cbae9c3158c63f04843b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ohd5gjdZAs64gHr834uRQ36rb3Urp1VRZv4d7k3dufxloWY01+GxI0Zlf/Mfgq5jaXXh0Opf1fsXDE1MZGAWCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T19:40:22.334909Z","bundle_sha256":"03a77e7645e93817e2f40933d7cbb3754e721f11f12de3732c0e4d3246d77722"}}