{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FV2R255SUVRSN3AHJBVVANPQBZ","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":"a15675ded44a55ad2ec843ed6937392943152768369a5e7104cde61645e98c8e","cross_cats_sorted":["math.DG","math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-12-23T11:23:17Z","title_canon_sha256":"7a4774c69c992febdb548f32ef2f31166d6270f64cadd87581cfd94881a36da9"},"schema_version":"1.0","source":{"id":"1612.07939","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.07939","created_at":"2026-05-18T00:54:05Z"},{"alias_kind":"arxiv_version","alias_value":"1612.07939v1","created_at":"2026-05-18T00:54:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.07939","created_at":"2026-05-18T00:54:05Z"},{"alias_kind":"pith_short_12","alias_value":"FV2R255SUVRS","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FV2R255SUVRSN3AH","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FV2R255S","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:a51fef933f180de76f253a003743ad893137af92d9552034b69483af8cf91167","target":"graph","created_at":"2026-05-18T00:54:05Z","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 a conformally invariant version of the Calder\\'on problem, where the objective is to determine the conformal class of a Riemannian manifold with boundary from the Dirichlet-to-Neumann map for the conformal Laplacian. The main result states that a locally conformally real-analytic manifold in dimensions $\\geq 3$ can be determined in this way, giving a positive answer to an earlier conjecture by Lassas and Uhlmann (2001). The proof proceeds as in the standard Calder\\'on problem on a real-analytic Riemannian manifold, but new features appear due to the conformal structure. In particul","authors_text":"Matti Lassas, Mikko Salo, Tony Liimatainen","cross_cats":["math.DG","math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-12-23T11:23:17Z","title":"The Calder\\'on problem for the conformal Laplacian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.07939","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":"sha256:7f40b09a388e5418750204b8cb149f53b9c9363cd628b96d043a05bc20246f3d","target":"record","created_at":"2026-05-18T00:54:05Z","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":"a15675ded44a55ad2ec843ed6937392943152768369a5e7104cde61645e98c8e","cross_cats_sorted":["math.DG","math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-12-23T11:23:17Z","title_canon_sha256":"7a4774c69c992febdb548f32ef2f31166d6270f64cadd87581cfd94881a36da9"},"schema_version":"1.0","source":{"id":"1612.07939","kind":"arxiv","version":1}},"canonical_sha256":"2d751d77b2a56326ec07486b5035f00e4224805146dc677f6b495ca59007e2d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d751d77b2a56326ec07486b5035f00e4224805146dc677f6b495ca59007e2d6","first_computed_at":"2026-05-18T00:54:05.284561Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:05.284561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"73PRFmlGCDr+x1zU5ZEcrfmkkdWz1PIhvb6CstvQj7Gdjq8QTm6ok+QsVaFleCtAH83OyR6hFiSwn4+0aT8kDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:05.284997Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.07939","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7f40b09a388e5418750204b8cb149f53b9c9363cd628b96d043a05bc20246f3d","sha256:a51fef933f180de76f253a003743ad893137af92d9552034b69483af8cf91167"],"state_sha256":"e82a9fce98b998127f8b4ec5ff91577a918e0d70e3113639411ce9c0deb904aa"}