{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:3N227YSRFFDOVSU262KOYOYUBO","short_pith_number":"pith:3N227YSR","schema_version":"1.0","canonical_sha256":"db75afe2512946eaca9af694ec3b140b90d8dcfa661a6aafd0048ccef8870118","source":{"kind":"arxiv","id":"2403.04491","version":1},"attestation_state":"computed","paper":{"title":"Scalable approximation and solvers for ionic electrodiffusion in cellular geometries","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["cs.CE","cs.NA"],"primary_cat":"math.NA","authors_text":"Ada J. Ellingsrud, Halvor Herlyng, Marie E. Rognes, Pietro Benedusi","submitted_at":"2024-03-07T13:48:36Z","abstract_excerpt":"The activity and dynamics of excitable cells are fundamentally regulated and moderated by extracellular and intracellular ion concentrations and their electric potentials. The increasing availability of dense reconstructions of excitable tissue at extreme geometric detail pose a new and clear scientific computing challenge for computational modelling of ion dynamics and transport. In this paper, we design, develop and evaluate a scalable numerical algorithm for solving the time-dependent and nonlinear KNP-EMI equations describing ionic electrodiffusion for excitable cells with an explicit geom"},"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":"2403.04491","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.NA","submitted_at":"2024-03-07T13:48:36Z","cross_cats_sorted":["cs.CE","cs.NA"],"title_canon_sha256":"fe2dda47d18a567b69e08a279f24d5c11dc6297d654bf0a784f4f3dbcf7ec0cb","abstract_canon_sha256":"eeaff6cc0ba2dc23be0272785d9fbeab72f2d041ab8074f6c5328f790f70c28b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:53:24.143401Z","signature_b64":"COvYT3hWWu3toynoysp7Q1hpO4/5SIVInHMKwHuTDap51NhxtW82zRirr9BeQNQLD/F3fHvSJLUIn8+uXN88CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db75afe2512946eaca9af694ec3b140b90d8dcfa661a6aafd0048ccef8870118","last_reissued_at":"2026-07-05T07:53:24.142955Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:53:24.142955Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Scalable approximation and solvers for ionic electrodiffusion in cellular geometries","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["cs.CE","cs.NA"],"primary_cat":"math.NA","authors_text":"Ada J. Ellingsrud, Halvor Herlyng, Marie E. Rognes, Pietro Benedusi","submitted_at":"2024-03-07T13:48:36Z","abstract_excerpt":"The activity and dynamics of excitable cells are fundamentally regulated and moderated by extracellular and intracellular ion concentrations and their electric potentials. The increasing availability of dense reconstructions of excitable tissue at extreme geometric detail pose a new and clear scientific computing challenge for computational modelling of ion dynamics and transport. In this paper, we design, develop and evaluate a scalable numerical algorithm for solving the time-dependent and nonlinear KNP-EMI equations describing ionic electrodiffusion for excitable cells with an explicit geom"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.04491","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2403.04491/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2403.04491","created_at":"2026-07-05T07:53:24.143030+00:00"},{"alias_kind":"arxiv_version","alias_value":"2403.04491v1","created_at":"2026-07-05T07:53:24.143030+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.04491","created_at":"2026-07-05T07:53:24.143030+00:00"},{"alias_kind":"pith_short_12","alias_value":"3N227YSRFFDO","created_at":"2026-07-05T07:53:24.143030+00:00"},{"alias_kind":"pith_short_16","alias_value":"3N227YSRFFDOVSU2","created_at":"2026-07-05T07:53:24.143030+00:00"},{"alias_kind":"pith_short_8","alias_value":"3N227YSR","created_at":"2026-07-05T07:53:24.143030+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/3N227YSRFFDOVSU262KOYOYUBO","json":"https://pith.science/pith/3N227YSRFFDOVSU262KOYOYUBO.json","graph_json":"https://pith.science/api/pith-number/3N227YSRFFDOVSU262KOYOYUBO/graph.json","events_json":"https://pith.science/api/pith-number/3N227YSRFFDOVSU262KOYOYUBO/events.json","paper":"https://pith.science/paper/3N227YSR"},"agent_actions":{"view_html":"https://pith.science/pith/3N227YSRFFDOVSU262KOYOYUBO","download_json":"https://pith.science/pith/3N227YSRFFDOVSU262KOYOYUBO.json","view_paper":"https://pith.science/paper/3N227YSR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2403.04491&json=true","fetch_graph":"https://pith.science/api/pith-number/3N227YSRFFDOVSU262KOYOYUBO/graph.json","fetch_events":"https://pith.science/api/pith-number/3N227YSRFFDOVSU262KOYOYUBO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3N227YSRFFDOVSU262KOYOYUBO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3N227YSRFFDOVSU262KOYOYUBO/action/storage_attestation","attest_author":"https://pith.science/pith/3N227YSRFFDOVSU262KOYOYUBO/action/author_attestation","sign_citation":"https://pith.science/pith/3N227YSRFFDOVSU262KOYOYUBO/action/citation_signature","submit_replication":"https://pith.science/pith/3N227YSRFFDOVSU262KOYOYUBO/action/replication_record"}},"created_at":"2026-07-05T07:53:24.143030+00:00","updated_at":"2026-07-05T07:53:24.143030+00:00"}