{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:54AVTFNSRSX73JRJ6S357AYTLG","short_pith_number":"pith:54AVTFNS","schema_version":"1.0","canonical_sha256":"ef015995b28caffda629f4b7df83135991c63cd2d95e4a39bd1c3a892e0aecef","source":{"kind":"arxiv","id":"1702.07531","version":1},"attestation_state":"computed","paper":{"title":"Enhancing D-bar reconstructions for electrical impedance tomography with conformal maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Janne P. Tamminen, Lassi P\\\"aiv\\\"arinta, Nuutti Hyv\\\"onen","submitted_at":"2017-02-24T10:41:23Z","abstract_excerpt":"We present a few ways of using conformal maps in the reconstruction of two-dimensional conductivities in electrical impedance tomography. First, by utilizing the Riemann mapping theorem, we can transform any simply connected domain of interest to the unit disk where the D-bar method can be implemented most efficiently. In particular, this applies to the open upper half-plane. Second, in the unit disk we may choose a region of interest that is magnified using a suitable M\\\"obius transform. To facilitate the efficient use of conformal maps, we introduce input current patterns that are named conf"},"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":"1702.07531","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-24T10:41:23Z","cross_cats_sorted":[],"title_canon_sha256":"327d46a74fbdb653514f9d9169fa97b00804c60e503fdb75b02362a9099a0385","abstract_canon_sha256":"464b3785d177073fcc48cec797b8449403b84434ba01b3b32d304f3e1545c649"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:03.011671Z","signature_b64":"XRFv6VgncbZ3wYOBPXo+UdysPJHjzc9hlKoxHItyDt92YSgN1NwtLcJTx8Ldn6xCcEGrnOUjtxo8ey278eDbDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef015995b28caffda629f4b7df83135991c63cd2d95e4a39bd1c3a892e0aecef","last_reissued_at":"2026-05-18T00:50:03.010897Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:03.010897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Enhancing D-bar reconstructions for electrical impedance tomography with conformal maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Janne P. Tamminen, Lassi P\\\"aiv\\\"arinta, Nuutti Hyv\\\"onen","submitted_at":"2017-02-24T10:41:23Z","abstract_excerpt":"We present a few ways of using conformal maps in the reconstruction of two-dimensional conductivities in electrical impedance tomography. First, by utilizing the Riemann mapping theorem, we can transform any simply connected domain of interest to the unit disk where the D-bar method can be implemented most efficiently. In particular, this applies to the open upper half-plane. Second, in the unit disk we may choose a region of interest that is magnified using a suitable M\\\"obius transform. To facilitate the efficient use of conformal maps, we introduce input current patterns that are named conf"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07531","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":"1702.07531","created_at":"2026-05-18T00:50:03.011012+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.07531v1","created_at":"2026-05-18T00:50:03.011012+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07531","created_at":"2026-05-18T00:50:03.011012+00:00"},{"alias_kind":"pith_short_12","alias_value":"54AVTFNSRSX7","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_16","alias_value":"54AVTFNSRSX73JRJ","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_8","alias_value":"54AVTFNS","created_at":"2026-05-18T12:31:00.734936+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/54AVTFNSRSX73JRJ6S357AYTLG","json":"https://pith.science/pith/54AVTFNSRSX73JRJ6S357AYTLG.json","graph_json":"https://pith.science/api/pith-number/54AVTFNSRSX73JRJ6S357AYTLG/graph.json","events_json":"https://pith.science/api/pith-number/54AVTFNSRSX73JRJ6S357AYTLG/events.json","paper":"https://pith.science/paper/54AVTFNS"},"agent_actions":{"view_html":"https://pith.science/pith/54AVTFNSRSX73JRJ6S357AYTLG","download_json":"https://pith.science/pith/54AVTFNSRSX73JRJ6S357AYTLG.json","view_paper":"https://pith.science/paper/54AVTFNS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.07531&json=true","fetch_graph":"https://pith.science/api/pith-number/54AVTFNSRSX73JRJ6S357AYTLG/graph.json","fetch_events":"https://pith.science/api/pith-number/54AVTFNSRSX73JRJ6S357AYTLG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/54AVTFNSRSX73JRJ6S357AYTLG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/54AVTFNSRSX73JRJ6S357AYTLG/action/storage_attestation","attest_author":"https://pith.science/pith/54AVTFNSRSX73JRJ6S357AYTLG/action/author_attestation","sign_citation":"https://pith.science/pith/54AVTFNSRSX73JRJ6S357AYTLG/action/citation_signature","submit_replication":"https://pith.science/pith/54AVTFNSRSX73JRJ6S357AYTLG/action/replication_record"}},"created_at":"2026-05-18T00:50:03.011012+00:00","updated_at":"2026-05-18T00:50:03.011012+00:00"}