{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:FUUKLQ57WWV4OXF4DN3ZYKC7SP","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":"2b3183495ce0fd69a7e84e737e70ffd38e8bcec97785e02e5a95446c96b66c54","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-03-09T14:27:34Z","title_canon_sha256":"61d574c420360653a686b360f407388c08073331795499011406a683dfda5f87"},"schema_version":"1.0","source":{"id":"1003.1880","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.1880","created_at":"2026-05-18T03:00:01Z"},{"alias_kind":"arxiv_version","alias_value":"1003.1880v2","created_at":"2026-05-18T03:00:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.1880","created_at":"2026-05-18T03:00:01Z"},{"alias_kind":"pith_short_12","alias_value":"FUUKLQ57WWV4","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"FUUKLQ57WWV4OXF4","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"FUUKLQ57","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:4fcf82812839513ba23a0a337afa773706344c118c3d338dd36f4a58d7ad5ae3","target":"graph","created_at":"2026-05-18T03:00:01Z","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":"Let $\\hat \\Omega \\subset \\mathbb R^2$ be a bounded domain with smooth boundary and $\\hat \\sigma$ a smooth anisotropic conductivity on $\\hat \\Omega$. Starting from the Dirichlet-to-Neumann operator $\\Lambda_{\\hat \\sigma}$ on $\\partial \\hat \\Omega$, we give an explicit procedure to find a unique domain $\\Omega$, an isotropic conductivity $\\sigma$ on $\\Omega$ and the boundary values of a quasiconformal diffeomorphism $F:\\hat \\Omega \\to \\Omega$ which transforms $\\hat \\sigma$ into $\\sigma$.","authors_text":"Gennadi Henkin, Matteo Santacesaria","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-03-09T14:27:34Z","title":"On an inverse problem for anisotropic conductivity in the plane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.1880","kind":"arxiv","version":2},"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":"sha256:706180dfcc2aa0f1f336ed9cba4316c9b259daa2e764199ecd395d68f7adfe15","target":"record","created_at":"2026-05-18T03:00:01Z","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":"2b3183495ce0fd69a7e84e737e70ffd38e8bcec97785e02e5a95446c96b66c54","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-03-09T14:27:34Z","title_canon_sha256":"61d574c420360653a686b360f407388c08073331795499011406a683dfda5f87"},"schema_version":"1.0","source":{"id":"1003.1880","kind":"arxiv","version":2}},"canonical_sha256":"2d28a5c3bfb5abc75cbc1b779c285f93e4de9a23a39609d13e51408927265a72","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d28a5c3bfb5abc75cbc1b779c285f93e4de9a23a39609d13e51408927265a72","first_computed_at":"2026-05-18T03:00:01.429841Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:00:01.429841Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"se0tgLfjMafQTSJdLQSUfDUQgID9WRJECf7q8yxUZ7YcuxIJ+4q2Ksdul5VzSBPukNF1hGcNFaOT8UcqIH7QDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:00:01.430628Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.1880","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:706180dfcc2aa0f1f336ed9cba4316c9b259daa2e764199ecd395d68f7adfe15","sha256:4fcf82812839513ba23a0a337afa773706344c118c3d338dd36f4a58d7ad5ae3"],"state_sha256":"659297dfa9f006b88f8efde48e491dd80cc55074777af76cd162bc05fc4c0fda"}