{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:43EX3DG3TX5TEAK34CYBPR2TO4","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":"7dbeb47f30e2ac9d0e5ee8a110df4c1b235e4e22fd837b667330a5291a230330","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-05-07T09:23:01Z","title_canon_sha256":"1049a434f68cd9ee3bde204efe14fb4cd5a81d721f6bccab75521b41273d4b31"},"schema_version":"1.0","source":{"id":"2305.04227","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.04227","created_at":"2026-07-05T06:22:04Z"},{"alias_kind":"arxiv_version","alias_value":"2305.04227v2","created_at":"2026-07-05T06:22:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.04227","created_at":"2026-07-05T06:22:04Z"},{"alias_kind":"pith_short_12","alias_value":"43EX3DG3TX5T","created_at":"2026-07-05T06:22:04Z"},{"alias_kind":"pith_short_16","alias_value":"43EX3DG3TX5TEAK3","created_at":"2026-07-05T06:22:04Z"},{"alias_kind":"pith_short_8","alias_value":"43EX3DG3","created_at":"2026-07-05T06:22:04Z"}],"graph_snapshots":[{"event_id":"sha256:74f7cbcb07699215e069329f4b08fedaca299f541342814280a7bc7afa9f13b4","target":"graph","created_at":"2026-07-05T06:22:04Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2305.04227/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We relate the (anisotropic) variable coefficient local and nonlocal Calder\\'on problems by means of the Caffarelli-Silvestre extension. In particular, we prove that (partial) Dirichlet-to-Neumann data for the fractional Calder\\'on problem in three and higher dimensions determine the (full) Dirichlet-to-Neumann data for the local Calder\\'on problem. As a consequence, any (variable coefficient) uniqueness result for the local problem also implies a uniqueness result for the nonlocal problem. Moreover, our approach is constructive and associated Tikhonov regularization schemes can be used to reco","authors_text":"Angkana R\\\"uland, Giovanni Covi, Gunther Uhlmann, Tuhin Ghosh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-05-07T09:23:01Z","title":"A Reduction of the Fractional Calder\\'on Problem to the Local Calder\\'on Problem by Means of the Caffarelli-Silvestre Extension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.04227","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:f7e90a5a7c2e808ccf336a33c58cf2d63b84255012c85110039a18e12875d0fb","target":"record","created_at":"2026-07-05T06:22:04Z","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":"7dbeb47f30e2ac9d0e5ee8a110df4c1b235e4e22fd837b667330a5291a230330","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-05-07T09:23:01Z","title_canon_sha256":"1049a434f68cd9ee3bde204efe14fb4cd5a81d721f6bccab75521b41273d4b31"},"schema_version":"1.0","source":{"id":"2305.04227","kind":"arxiv","version":2}},"canonical_sha256":"e6c97d8cdb9dfb32015be0b017c753772296e4d05251d3266369bb142f05cdb6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e6c97d8cdb9dfb32015be0b017c753772296e4d05251d3266369bb142f05cdb6","first_computed_at":"2026-07-05T06:22:04.389366Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:22:04.389366Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WXD0H1rpEKCe1QyXhEk8aTcUtnXNxm3VOCuZRTAx9BUGYCHrnYWPv6zwtD+Uf5b71LIpdOmiwZzqTDOj7QMmAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:22:04.389841Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.04227","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7e90a5a7c2e808ccf336a33c58cf2d63b84255012c85110039a18e12875d0fb","sha256:74f7cbcb07699215e069329f4b08fedaca299f541342814280a7bc7afa9f13b4"],"state_sha256":"04c16989ea29e0532facffd1345031ce50b64257b76b6fe2398f01f909c25ce7"}