{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:I5TPYX3MFMUHCFTWCC6KWKJ4RE","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":"34899cb594fbf17da75fd012a4f3ebcbcaa42f1892bb53bf3d3538611bcdb5b6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-05-02T15:24:37Z","title_canon_sha256":"07e00a0617a981a6bdcbd8bc656d3c246d2b65d378c03b62e12eefaad57f8d77"},"schema_version":"1.0","source":{"id":"1805.00866","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.00866","created_at":"2026-05-18T00:16:57Z"},{"alias_kind":"arxiv_version","alias_value":"1805.00866v1","created_at":"2026-05-18T00:16:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.00866","created_at":"2026-05-18T00:16:57Z"},{"alias_kind":"pith_short_12","alias_value":"I5TPYX3MFMUH","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"I5TPYX3MFMUHCFTW","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"I5TPYX3M","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:f428809bb0f50c481530a33ca003a0e29575c740df654e0ddb5421f00bc04b9b","target":"graph","created_at":"2026-05-18T00:16:57Z","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":"In this note we discuss the conditional stability issue for the finite dimensional Calder\\'on problem for the fractional Schr\\\"{o}dinger equation with a finite number of measurements. More precisely, we assume that the unknown potential $q \\in L^{\\infty}(\\Omega) $ in the equation $((-\\Delta)^s+ q)u = 0 \\mbox{ in } \\Omega\\subset \\mathbb{R}^n$ satisfies the a priori assumption that it is contained in a finite dimensional subspace of $L^{\\infty}(\\Omega)$. Under this condition we prove Lipschitz stability estimates for the fractional Calder\\'on problem by means of finitely many Cauchy data dependi","authors_text":"Angkana R\\\"uland, Eva Sincich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-05-02T15:24:37Z","title":"Lipschitz stability for the Finite Dimensional Fractional Calder\\'on Problem with Finite Cauchy Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.00866","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:f64335c611c24c07e4642def70b80fe73e055de3ffbf028d4e018bda5376ec1d","target":"record","created_at":"2026-05-18T00:16:57Z","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":"34899cb594fbf17da75fd012a4f3ebcbcaa42f1892bb53bf3d3538611bcdb5b6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-05-02T15:24:37Z","title_canon_sha256":"07e00a0617a981a6bdcbd8bc656d3c246d2b65d378c03b62e12eefaad57f8d77"},"schema_version":"1.0","source":{"id":"1805.00866","kind":"arxiv","version":1}},"canonical_sha256":"4766fc5f6c2b2871167610bcab293c892f42ecafb14b2d6ee14b23be1f92044e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4766fc5f6c2b2871167610bcab293c892f42ecafb14b2d6ee14b23be1f92044e","first_computed_at":"2026-05-18T00:16:57.421963Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:57.421963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K3bfzk1AIJFTBCcqnUgDM6qPEuGX5M6St49uPFFZkvay3Fp+hnORRPkXJ7rjOdwadCqZp8o4Bj8DvyZF7oOpCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:57.422726Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.00866","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f64335c611c24c07e4642def70b80fe73e055de3ffbf028d4e018bda5376ec1d","sha256:f428809bb0f50c481530a33ca003a0e29575c740df654e0ddb5421f00bc04b9b"],"state_sha256":"20cf1f4a3f4be00995ec630b889c1fd16ba2af67036c84aed227fcb97438c7eb"}