{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MBTIOH3UUAEHYNZQDWYKHYCNKO","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":"a6c474e448c2f643bffba82a787ab0f39f83168cd4f530e5939f678f6a86f3e7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-04-22T10:25:43Z","title_canon_sha256":"b6a80c69d27457365d4b6224f7178cc2a9257ca03e392a997a1ba8261aa0b414"},"schema_version":"1.0","source":{"id":"1704.06780","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.06780","created_at":"2026-05-18T00:45:55Z"},{"alias_kind":"arxiv_version","alias_value":"1704.06780v1","created_at":"2026-05-18T00:45:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.06780","created_at":"2026-05-18T00:45:55Z"},{"alias_kind":"pith_short_12","alias_value":"MBTIOH3UUAEH","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MBTIOH3UUAEHYNZQ","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MBTIOH3U","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:efe1541290a13d876f59e0508897ec08f3e545bcce30dfda3cbbd805f8911e30","target":"graph","created_at":"2026-05-18T00:45:55Z","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 paper, we establish a global Carleman estimate for an Ultrahyperbolic Schr\\\"odinger equation. Moreover, we prove H\\\"older stability for the inverse problem of determining a coefficient or a source term in the Ultrahyperbolic Schr\\\"odinger equation by some lateral boundary data.","authors_text":"Fikret G\\\"olgeleyen, \\\"Ozlem Kaytmaz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-04-22T10:25:43Z","title":"Inverse Problems for Ultrahyperbolic Schr\\\"odinger Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.06780","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":"sha256:8258b797e9f715c41a85a2ae04ddc3bbfef3fd2e22c4ce7e21a1870843ee2421","target":"record","created_at":"2026-05-18T00:45:55Z","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":"a6c474e448c2f643bffba82a787ab0f39f83168cd4f530e5939f678f6a86f3e7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-04-22T10:25:43Z","title_canon_sha256":"b6a80c69d27457365d4b6224f7178cc2a9257ca03e392a997a1ba8261aa0b414"},"schema_version":"1.0","source":{"id":"1704.06780","kind":"arxiv","version":1}},"canonical_sha256":"6066871f74a0087c37301db0a3e04d53a19510f2bade8bf6ee8d17efcafbdaa5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6066871f74a0087c37301db0a3e04d53a19510f2bade8bf6ee8d17efcafbdaa5","first_computed_at":"2026-05-18T00:45:55.840620Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:55.840620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LchTc9DgLY/NVZWiGlqHmhtz28MqViQFIomEVJQGkQUv+K7BeGI2/au+5tTxG0nzhj7KAI9ccC01iQFlUsbKBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:55.841252Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.06780","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8258b797e9f715c41a85a2ae04ddc3bbfef3fd2e22c4ce7e21a1870843ee2421","sha256:efe1541290a13d876f59e0508897ec08f3e545bcce30dfda3cbbd805f8911e30"],"state_sha256":"774a61cf5abbc155555aeef923e326dab1881d5ff1f6ac540810e1e72bcae76d"}