{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:3I7QSDI7ZIIYCJC27N4JMU76WR","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":"56080c1bf771a75f217950d2fb49a2612e370bf858452fd9eb86ab6057be8d21","cross_cats_sorted":["cs.CE","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2011-03-30T09:24:00Z","title_canon_sha256":"cda5531ab04225fbde357fc7b1cdcd2a83eb4ce280c04910c3da36a46b047f44"},"schema_version":"1.0","source":{"id":"1103.5855","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.5855","created_at":"2026-05-18T04:25:27Z"},{"alias_kind":"arxiv_version","alias_value":"1103.5855v1","created_at":"2026-05-18T04:25:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.5855","created_at":"2026-05-18T04:25:27Z"},{"alias_kind":"pith_short_12","alias_value":"3I7QSDI7ZIIY","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"3I7QSDI7ZIIYCJC2","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"3I7QSDI7","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:adb5c205d2003ce02d14c1208ed7479dc4ca7c10661c49865d20b59d678ddd20","target":"graph","created_at":"2026-05-18T04:25:27Z","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 presented article contains a 3D mesh generation routine optimized with the Metropolis algorithm. The procedure enables to produce meshes of a prescribed volume V_0 of elements. The finite volume meshes are used with the Finite Element approach. The FEM analysis enables to deal with a set of coupled nonlinear differential equations that describes the electrodiffusional problem. Mesh quality and accuracy of FEM solutions are also examined. High quality of FEM type space-dependent approximation and correctness of discrete approximation in time are ensured by finding solutions to the 3D Laplac","authors_text":"Ilona D. Kosinska (Wroclaw University of Technology, Institute of Biomedical Engineering, Instrumentation, Poland)","cross_cats":["cs.CE","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2011-03-30T09:24:00Z","title":"The FEM approach to the 3D electrodiffusion on 'meshes' optimized with the Metropolis algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5855","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:b3e923fe1650278ab4bc2dea7568bbbcdafffa0a93d1563c3d7ec4b22f9a7f34","target":"record","created_at":"2026-05-18T04:25:27Z","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":"56080c1bf771a75f217950d2fb49a2612e370bf858452fd9eb86ab6057be8d21","cross_cats_sorted":["cs.CE","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2011-03-30T09:24:00Z","title_canon_sha256":"cda5531ab04225fbde357fc7b1cdcd2a83eb4ce280c04910c3da36a46b047f44"},"schema_version":"1.0","source":{"id":"1103.5855","kind":"arxiv","version":1}},"canonical_sha256":"da3f090d1fca1181245afb789653feb451c969b12081b99ce2e6d0a80086d8c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da3f090d1fca1181245afb789653feb451c969b12081b99ce2e6d0a80086d8c8","first_computed_at":"2026-05-18T04:25:27.380854Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:25:27.380854Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A23Cjl6MAxG6GgZFz5eUBoo2qeNRmcPx2HcuDfaKy2BNS4/Y7bGfyzxKKoVbjJuHAOvHQ5tVLLVjXFkgI+yIBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:25:27.383009Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.5855","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3e923fe1650278ab4bc2dea7568bbbcdafffa0a93d1563c3d7ec4b22f9a7f34","sha256:adb5c205d2003ce02d14c1208ed7479dc4ca7c10661c49865d20b59d678ddd20"],"state_sha256":"e49a4ec0244bc30377766c96c6726aa320824804e3bf49997b556747714abc26"}