{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:2UO7EEPFDXHYF54WGHYSZ7TIQY","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":"6582f0a88936f859f658febc629b19e9edbb582d61507abe0ddbddab3b58e8ad","cross_cats_sorted":["math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-05-17T06:25:52Z","title_canon_sha256":"89672ee285895457355dc7c55999a67b8dfd633a6298ced6dd7d0fddf439e281"},"schema_version":"1.0","source":{"id":"1605.05031","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.05031","created_at":"2026-05-18T01:14:37Z"},{"alias_kind":"arxiv_version","alias_value":"1605.05031v1","created_at":"2026-05-18T01:14:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.05031","created_at":"2026-05-18T01:14:37Z"},{"alias_kind":"pith_short_12","alias_value":"2UO7EEPFDXHY","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2UO7EEPFDXHYF54W","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2UO7EEPF","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:924f34a5daface7995a4d807c82029b9083661ecbba44c21a43d839618d61870","target":"graph","created_at":"2026-05-18T01:14:37Z","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 solve the inverse spectral problem for rotationally symmetric manifolds, which include the class of surfaces of revolution, by giving an analytic isomorphism from the space of spectral data onto the space of functions describing the radius of rotation. An analogue of the Minkowski problem is also solved.","authors_text":"Evgeny L. Korotyaev, Hiroshi Isozaki","cross_cats":["math.MP","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-05-17T06:25:52Z","title":"Inverse spectral theory and the Minkowski problem for the surface of revolution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.05031","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":"sha256:9fb985f7dbcbba98c38fdf07666752509405b23d3cd0c3815225986294dbec03","target":"record","created_at":"2026-05-18T01:14:37Z","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":"6582f0a88936f859f658febc629b19e9edbb582d61507abe0ddbddab3b58e8ad","cross_cats_sorted":["math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-05-17T06:25:52Z","title_canon_sha256":"89672ee285895457355dc7c55999a67b8dfd633a6298ced6dd7d0fddf439e281"},"schema_version":"1.0","source":{"id":"1605.05031","kind":"arxiv","version":1}},"canonical_sha256":"d51df211e51dcf82f79631f12cfe68861c4468597d928fef9332e0386b8ae8ba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d51df211e51dcf82f79631f12cfe68861c4468597d928fef9332e0386b8ae8ba","first_computed_at":"2026-05-18T01:14:37.651719Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:14:37.651719Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"705MiDe1oVNcqtkX72gpg5qEJOGu2opJ4weGSoURbPkKW6PpbMtXhzTklhpfan7OetYxAYZwovaDvqvbNvLFAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:14:37.652468Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.05031","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9fb985f7dbcbba98c38fdf07666752509405b23d3cd0c3815225986294dbec03","sha256:924f34a5daface7995a4d807c82029b9083661ecbba44c21a43d839618d61870"],"state_sha256":"72523802ae6d97919759b673531c4f3013e06ffc2471f6112e6fc238cc156198"}