{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:PDMSRYL5AGH77QW6DY6HKOLY3Y","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":"9078b99c53218a9decd5c743a8dceabbf81f8fc3f832626df305c079872fb49b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-26T02:09:01Z","title_canon_sha256":"29fb9faa70ae23a9f5a68155a01524c6538864776d2a7635f3350f6c28d3afa7"},"schema_version":"1.0","source":{"id":"1702.07974","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.07974","created_at":"2026-05-18T00:09:20Z"},{"alias_kind":"arxiv_version","alias_value":"1702.07974v1","created_at":"2026-05-18T00:09:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07974","created_at":"2026-05-18T00:09:20Z"},{"alias_kind":"pith_short_12","alias_value":"PDMSRYL5AGH7","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PDMSRYL5AGH77QW6","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PDMSRYL5","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:525e3b14e79ffe7df466196fce2fdd9d7b2309be72c5e37a51ea3c04803d6ec1","target":"graph","created_at":"2026-05-18T00:09:20Z","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":"We study inverse boundary problems for magnetic Schr\\\"odinger operators on a compact Riemannian manifold with boundary of dimension $\\ge 3$. In the first part of the paper we are concerned with the case of admissible geometries, i.e. compact Riemannian manifolds with boundary which are conformally embedded in a product of the Euclidean line and a simple manifold. We show that the knowledge of the Cauchy data on the boundary of the manifold for the magnetic Schr\\\"odinger operator with $L^\\infty$ magnetic and electric potentials, determines the magnetic field and electric potential uniquely.\n  I","authors_text":"Gunther Uhlmann, Katya Krupchyk","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-26T02:09:01Z","title":"Inverse problems for magnetic Schr\\\"odinger operators in transversally anisotropic geometries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07974","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:c97e991996829c420ff98e8ec940493fedbaa0b94e10905ef0d8f082f26b1c56","target":"record","created_at":"2026-05-18T00:09:20Z","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":"9078b99c53218a9decd5c743a8dceabbf81f8fc3f832626df305c079872fb49b","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-02-26T02:09:01Z","title_canon_sha256":"29fb9faa70ae23a9f5a68155a01524c6538864776d2a7635f3350f6c28d3afa7"},"schema_version":"1.0","source":{"id":"1702.07974","kind":"arxiv","version":1}},"canonical_sha256":"78d928e17d018fffc2de1e3c753978de0723a15718ad3a808ca707950a7a50c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"78d928e17d018fffc2de1e3c753978de0723a15718ad3a808ca707950a7a50c9","first_computed_at":"2026-05-18T00:09:20.521138Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:20.521138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iP/SUyC1egkLKpGYa/AzPpFgPjEkEXZx6sUF9iWjfY/PLG8/JlQ8nUbWlGZnEuillR4Yh+PXavtGLgykNONdAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:20.521734Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.07974","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c97e991996829c420ff98e8ec940493fedbaa0b94e10905ef0d8f082f26b1c56","sha256:525e3b14e79ffe7df466196fce2fdd9d7b2309be72c5e37a51ea3c04803d6ec1"],"state_sha256":"494a4c043c691e2da794a5ccd1ec597f2e3ea09bb3cabb467c8d659e28f94006"}