{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IZYCLWHBQBKO4PI4UXVJLRODJB","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":"8ea78e22fefee731ff56add70860b9a630ecd733fb863b880a0c14e4fbba8f82","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-12-14T17:00:59Z","title_canon_sha256":"1e98d8b1975689960e008b7ce9916de1065f7e6c2b0e065374d3ceb4da4e3eab"},"schema_version":"1.0","source":{"id":"1312.4065","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.4065","created_at":"2026-05-18T01:11:33Z"},{"alias_kind":"arxiv_version","alias_value":"1312.4065v2","created_at":"2026-05-18T01:11:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.4065","created_at":"2026-05-18T01:11:33Z"},{"alias_kind":"pith_short_12","alias_value":"IZYCLWHBQBKO","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"IZYCLWHBQBKO4PI4","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"IZYCLWHB","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:97a63d698c0c8085a6b2babf0343a8fc948b84ee815d0c0fa199123544181016","target":"graph","created_at":"2026-05-18T01:11:33Z","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 consider the linearization of the Dirichlet-to-Neumann (DN) map as a function of the potential. We show that it is injective at a real analytic potential for measurements made at an open subset of analyticity of the boundary. More generally, we relate the analyticity up to the boundary of the variations of the potential to the analyticity of the symbols of the corresponding variations of the DN-map.","authors_text":"Gunther Uhlmann, Johannes Sjoestrand","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-12-14T17:00:59Z","title":"Local analytic regularity in the linearized Calder\\'on problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.4065","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":"sha256:0d612afe50affd38c33bd185f60e5ae9c67608265dd4126cf0e88c00e5e09947","target":"record","created_at":"2026-05-18T01:11:33Z","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":"8ea78e22fefee731ff56add70860b9a630ecd733fb863b880a0c14e4fbba8f82","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-12-14T17:00:59Z","title_canon_sha256":"1e98d8b1975689960e008b7ce9916de1065f7e6c2b0e065374d3ceb4da4e3eab"},"schema_version":"1.0","source":{"id":"1312.4065","kind":"arxiv","version":2}},"canonical_sha256":"467025d8e18054ee3d1ca5ea95c5c3486f23f49cd15a6e4f71dbd296187c1adf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"467025d8e18054ee3d1ca5ea95c5c3486f23f49cd15a6e4f71dbd296187c1adf","first_computed_at":"2026-05-18T01:11:33.838590Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:33.838590Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"riyMlSXeLlscbrt9vLMKQHuwetKm7wF2wRCb9Tlp5vg4CcM7ZLaRVthu/U52kXfuXZ6RZf6+Sn18pCjOKa+FDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:33.838991Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.4065","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d612afe50affd38c33bd185f60e5ae9c67608265dd4126cf0e88c00e5e09947","sha256:97a63d698c0c8085a6b2babf0343a8fc948b84ee815d0c0fa199123544181016"],"state_sha256":"67f1058c1cb64eb1516b8f09a23bbfae63fab30146ef88da19cc06d03fccf59d"}