{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:WQJ3RPKLWBFNDJCYYKKNC3SVMR","short_pith_number":"pith:WQJ3RPKL","canonical_record":{"source":{"id":"1306.2922","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2013-06-12T18:54:25Z","cross_cats_sorted":[],"title_canon_sha256":"a3d7ce475238c170859abc2dc45fc52e39d2dc1cee22ff62e459de9433f582f3","abstract_canon_sha256":"5542e7ddc3bcf1c3cbebac4ca2f0447b83706a1c091e9e7948c497c673b89e2f"},"schema_version":"1.0"},"canonical_sha256":"b413b8bd4bb04ad1a458c294d16e556463bc5a4eec4a1d3d460bc9d46bebd0f0","source":{"kind":"arxiv","id":"1306.2922","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.2922","created_at":"2026-05-18T03:21:08Z"},{"alias_kind":"arxiv_version","alias_value":"1306.2922v1","created_at":"2026-05-18T03:21:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.2922","created_at":"2026-05-18T03:21:08Z"},{"alias_kind":"pith_short_12","alias_value":"WQJ3RPKLWBFN","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WQJ3RPKLWBFNDJCY","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WQJ3RPKL","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:WQJ3RPKLWBFNDJCYYKKNC3SVMR","target":"record","payload":{"canonical_record":{"source":{"id":"1306.2922","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2013-06-12T18:54:25Z","cross_cats_sorted":[],"title_canon_sha256":"a3d7ce475238c170859abc2dc45fc52e39d2dc1cee22ff62e459de9433f582f3","abstract_canon_sha256":"5542e7ddc3bcf1c3cbebac4ca2f0447b83706a1c091e9e7948c497c673b89e2f"},"schema_version":"1.0"},"canonical_sha256":"b413b8bd4bb04ad1a458c294d16e556463bc5a4eec4a1d3d460bc9d46bebd0f0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:21:08.985612Z","signature_b64":"ZcsXobVV3xzzbIaSRv4wm67rSbUQi/EIFCKuy6IGfpIbVFsUwuMwMntuGnqfcLh1IrKu/+WxcvSLR+YRifuWDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b413b8bd4bb04ad1a458c294d16e556463bc5a4eec4a1d3d460bc9d46bebd0f0","last_reissued_at":"2026-05-18T03:21:08.984855Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:21:08.984855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.2922","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":"2026-05-18T03:21:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KtBgNeAL4qNypV5Kzuc1gMk/ZLcqFJDpvO2ckfdg9bJu/SLn/p1GJfpYb5CSXyxAO2O7YPV1MjZY6p30jPidCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T16:43:49.619871Z"},"content_sha256":"d0a346e01ab5dd4bf08b8499726d308c19d801cea3c308a7460779a0ad622f66","schema_version":"1.0","event_id":"sha256:d0a346e01ab5dd4bf08b8499726d308c19d801cea3c308a7460779a0ad622f66"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:WQJ3RPKLWBFNDJCYYKKNC3SVMR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A framework to investigate the immittance responses for finite length-situations: fractional diffusion equation, reaction term, and boundary conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.other","authors_text":"Ervin K. Lenzi, Fernanda R. G. B. Silva, Giane Gon\\c{c}alves, Luiz R. Evangelista, Marcelo K. Lenzi, Rafael S. Zola, Roberto Rossato","submitted_at":"2013-06-12T18:54:25Z","abstract_excerpt":"The Poisson-Nernst-Planck (PNP) diffusional model for the immittance or impedance spectroscopy response of an electrolytic cell in a finite-length situation is extended to a general framework. In this new formalism, the bulk behavior of the mobile charges is governed by a fractional diffusion equation in the presence of a reaction term. The solutions have to satisfy a general boundary condition embodying, in a single expression, most of the surface effects commonly encountered in experimental situations. Among these effects, we specifically consider the charge transfer process from an electrol"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.2922","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":"2026-05-18T03:21:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u6XjBHKyMNdxat3sxZHr+Xz5kIpz1jc5Y78oUM90gdUE3JiqWgh8QdElNz4tbTc7Cret3QoVyMobsJVmArqtBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T16:43:49.620652Z"},"content_sha256":"1e1667fdd48bfa713983420f65ffd9ef87f1782ea5d73028afc1b2b69098b8be","schema_version":"1.0","event_id":"sha256:1e1667fdd48bfa713983420f65ffd9ef87f1782ea5d73028afc1b2b69098b8be"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WQJ3RPKLWBFNDJCYYKKNC3SVMR/bundle.json","state_url":"https://pith.science/pith/WQJ3RPKLWBFNDJCYYKKNC3SVMR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WQJ3RPKLWBFNDJCYYKKNC3SVMR/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":"2026-06-08T16:43:49Z","links":{"resolver":"https://pith.science/pith/WQJ3RPKLWBFNDJCYYKKNC3SVMR","bundle":"https://pith.science/pith/WQJ3RPKLWBFNDJCYYKKNC3SVMR/bundle.json","state":"https://pith.science/pith/WQJ3RPKLWBFNDJCYYKKNC3SVMR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WQJ3RPKLWBFNDJCYYKKNC3SVMR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WQJ3RPKLWBFNDJCYYKKNC3SVMR","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":"5542e7ddc3bcf1c3cbebac4ca2f0447b83706a1c091e9e7948c497c673b89e2f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2013-06-12T18:54:25Z","title_canon_sha256":"a3d7ce475238c170859abc2dc45fc52e39d2dc1cee22ff62e459de9433f582f3"},"schema_version":"1.0","source":{"id":"1306.2922","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.2922","created_at":"2026-05-18T03:21:08Z"},{"alias_kind":"arxiv_version","alias_value":"1306.2922v1","created_at":"2026-05-18T03:21:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.2922","created_at":"2026-05-18T03:21:08Z"},{"alias_kind":"pith_short_12","alias_value":"WQJ3RPKLWBFN","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WQJ3RPKLWBFNDJCY","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WQJ3RPKL","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:1e1667fdd48bfa713983420f65ffd9ef87f1782ea5d73028afc1b2b69098b8be","target":"graph","created_at":"2026-05-18T03:21:08Z","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 Poisson-Nernst-Planck (PNP) diffusional model for the immittance or impedance spectroscopy response of an electrolytic cell in a finite-length situation is extended to a general framework. In this new formalism, the bulk behavior of the mobile charges is governed by a fractional diffusion equation in the presence of a reaction term. The solutions have to satisfy a general boundary condition embodying, in a single expression, most of the surface effects commonly encountered in experimental situations. Among these effects, we specifically consider the charge transfer process from an electrol","authors_text":"Ervin K. Lenzi, Fernanda R. G. B. Silva, Giane Gon\\c{c}alves, Luiz R. Evangelista, Marcelo K. Lenzi, Rafael S. Zola, Roberto Rossato","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2013-06-12T18:54:25Z","title":"A framework to investigate the immittance responses for finite length-situations: fractional diffusion equation, reaction term, and boundary conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.2922","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:d0a346e01ab5dd4bf08b8499726d308c19d801cea3c308a7460779a0ad622f66","target":"record","created_at":"2026-05-18T03:21:08Z","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":"5542e7ddc3bcf1c3cbebac4ca2f0447b83706a1c091e9e7948c497c673b89e2f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2013-06-12T18:54:25Z","title_canon_sha256":"a3d7ce475238c170859abc2dc45fc52e39d2dc1cee22ff62e459de9433f582f3"},"schema_version":"1.0","source":{"id":"1306.2922","kind":"arxiv","version":1}},"canonical_sha256":"b413b8bd4bb04ad1a458c294d16e556463bc5a4eec4a1d3d460bc9d46bebd0f0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b413b8bd4bb04ad1a458c294d16e556463bc5a4eec4a1d3d460bc9d46bebd0f0","first_computed_at":"2026-05-18T03:21:08.984855Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:21:08.984855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZcsXobVV3xzzbIaSRv4wm67rSbUQi/EIFCKuy6IGfpIbVFsUwuMwMntuGnqfcLh1IrKu/+WxcvSLR+YRifuWDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:21:08.985612Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.2922","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0a346e01ab5dd4bf08b8499726d308c19d801cea3c308a7460779a0ad622f66","sha256:1e1667fdd48bfa713983420f65ffd9ef87f1782ea5d73028afc1b2b69098b8be"],"state_sha256":"c2a2cae5674ff41852b0ca63eb7674663cc71fdf65d96f73ccfe4e7bf8b6b651"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fv3f8x2q4yIbmVgZuLbLWUGNh21vZ51rp6ZztRDC5MzyLoBQKQJ+jKViNUN7YQMUEuLETx8QDeLxAid3NpToAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T16:43:49.627544Z","bundle_sha256":"3dfe2d5e1223083df3611092fe4cccf61b28b72410df02e043d411db54e5f03d"}}