{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:4R6U6WPYWXSJUJREDJAFWQKIA4","short_pith_number":"pith:4R6U6WPY","schema_version":"1.0","canonical_sha256":"e47d4f59f8b5e49a26241a405b4148073c3b14f3545b9f7dc32f217316f1b8fa","source":{"kind":"arxiv","id":"physics/0303057","version":1},"attestation_state":"computed","paper":{"title":"Modeling extracellular field potentials and the frequency-filtering properties of extracellular space","license":"","headline":"","cross_cats":["q-bio"],"primary_cat":"physics.bio-ph","authors_text":"Alain Destexhe, Claude B\\'edard, Helmut Kr\\\"oger","submitted_at":"2003-03-14T16:00:44Z","abstract_excerpt":"Extracellular local field potentials (LFP) are usually modeled as arising from a set of current sources embedded in a homogeneous extracellular medium. Although this formalism can successfully model several properties of LFPs, it does not account for their frequency-dependent attenuation with distance, a property essential to correctly model extracellular spikes. Here we derive expressions for the extracellular potential that include this frequency-dependent attenuation. We first show that, if the extracellular conductivity is non-homogeneous, there is induction of non-homogeneous charge densi"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"physics/0303057","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.bio-ph","submitted_at":"2003-03-14T16:00:44Z","cross_cats_sorted":["q-bio"],"title_canon_sha256":"1e9be9a15a45425d3eea930d07f16ced9f249922a71ce6c0e313eaf85912673e","abstract_canon_sha256":"0badb80d7116695b4c31f0d76f401f8a777f16f71f514ae1a0bbe32a20f1dbfc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:59.598676Z","signature_b64":"O+3HAhryBH1ith4q12+pofw9C00C6szv9XQJCRK4vSswiLykfjMTZ5PYiCYofoQIBSnitKPZNCdCoKMql5AuDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e47d4f59f8b5e49a26241a405b4148073c3b14f3545b9f7dc32f217316f1b8fa","last_reissued_at":"2026-05-18T01:08:59.598215Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:59.598215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Modeling extracellular field potentials and the frequency-filtering properties of extracellular space","license":"","headline":"","cross_cats":["q-bio"],"primary_cat":"physics.bio-ph","authors_text":"Alain Destexhe, Claude B\\'edard, Helmut Kr\\\"oger","submitted_at":"2003-03-14T16:00:44Z","abstract_excerpt":"Extracellular local field potentials (LFP) are usually modeled as arising from a set of current sources embedded in a homogeneous extracellular medium. Although this formalism can successfully model several properties of LFPs, it does not account for their frequency-dependent attenuation with distance, a property essential to correctly model extracellular spikes. Here we derive expressions for the extracellular potential that include this frequency-dependent attenuation. We first show that, if the extracellular conductivity is non-homogeneous, there is induction of non-homogeneous charge densi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0303057","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"physics/0303057","created_at":"2026-05-18T01:08:59.598280+00:00"},{"alias_kind":"arxiv_version","alias_value":"physics/0303057v1","created_at":"2026-05-18T01:08:59.598280+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0303057","created_at":"2026-05-18T01:08:59.598280+00:00"},{"alias_kind":"pith_short_12","alias_value":"4R6U6WPYWXSJ","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_16","alias_value":"4R6U6WPYWXSJUJRE","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_8","alias_value":"4R6U6WPY","created_at":"2026-05-18T12:25:51.375804+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4R6U6WPYWXSJUJREDJAFWQKIA4","json":"https://pith.science/pith/4R6U6WPYWXSJUJREDJAFWQKIA4.json","graph_json":"https://pith.science/api/pith-number/4R6U6WPYWXSJUJREDJAFWQKIA4/graph.json","events_json":"https://pith.science/api/pith-number/4R6U6WPYWXSJUJREDJAFWQKIA4/events.json","paper":"https://pith.science/paper/4R6U6WPY"},"agent_actions":{"view_html":"https://pith.science/pith/4R6U6WPYWXSJUJREDJAFWQKIA4","download_json":"https://pith.science/pith/4R6U6WPYWXSJUJREDJAFWQKIA4.json","view_paper":"https://pith.science/paper/4R6U6WPY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=physics/0303057&json=true","fetch_graph":"https://pith.science/api/pith-number/4R6U6WPYWXSJUJREDJAFWQKIA4/graph.json","fetch_events":"https://pith.science/api/pith-number/4R6U6WPYWXSJUJREDJAFWQKIA4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4R6U6WPYWXSJUJREDJAFWQKIA4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4R6U6WPYWXSJUJREDJAFWQKIA4/action/storage_attestation","attest_author":"https://pith.science/pith/4R6U6WPYWXSJUJREDJAFWQKIA4/action/author_attestation","sign_citation":"https://pith.science/pith/4R6U6WPYWXSJUJREDJAFWQKIA4/action/citation_signature","submit_replication":"https://pith.science/pith/4R6U6WPYWXSJUJREDJAFWQKIA4/action/replication_record"}},"created_at":"2026-05-18T01:08:59.598280+00:00","updated_at":"2026-05-18T01:08:59.598280+00:00"}