{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:XU7GKX4QLDPQE2TZFWE6KV2F5J","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":"cf750075247be95cf598caa424ae5e9fba6fd64485dee81d725e7a503fafeebc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-02-24T15:17:12Z","title_canon_sha256":"fd17e29b2f602d958c63e61a08c23dc6d3c0a596b304f5d59a58b26e7b108632"},"schema_version":"1.0","source":{"id":"1702.07622","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.07622","created_at":"2026-05-18T00:50:02Z"},{"alias_kind":"arxiv_version","alias_value":"1702.07622v1","created_at":"2026-05-18T00:50:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07622","created_at":"2026-05-18T00:50:02Z"},{"alias_kind":"pith_short_12","alias_value":"XU7GKX4QLDPQ","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"XU7GKX4QLDPQE2TZ","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"XU7GKX4Q","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:aaf4ffac034b9c184b9f62c83acf8247669f89bafba4335ac056a2c8d5881873","target":"graph","created_at":"2026-05-18T00:50:02Z","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 show that on a two-dimensional compact nontrapping manifold with strictly convex boundary, a piecewise constant function is determined by its integrals over geodesics. In higher dimensions, we obtain a similar result if the manifold satisfies a foliation condition. These theorems are based on iterating a local uniqueness result. Our proofs are elementary.","authors_text":"Jere Lehtonen, Joonas Ilmavirta, Mikko Salo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-02-24T15:17:12Z","title":"Geodesic X-ray tomography for piecewise constant functions on nontrapping manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07622","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":"sha256:9e863ae10450e52859c9a4279e0b84dd3f2e16c9434ede36e0e5b17b5eae2f99","target":"record","created_at":"2026-05-18T00:50:02Z","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":"cf750075247be95cf598caa424ae5e9fba6fd64485dee81d725e7a503fafeebc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-02-24T15:17:12Z","title_canon_sha256":"fd17e29b2f602d958c63e61a08c23dc6d3c0a596b304f5d59a58b26e7b108632"},"schema_version":"1.0","source":{"id":"1702.07622","kind":"arxiv","version":1}},"canonical_sha256":"bd3e655f9058df026a792d89e55745ea62e2ea695baad9c6eb01e55dcd1cf105","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd3e655f9058df026a792d89e55745ea62e2ea695baad9c6eb01e55dcd1cf105","first_computed_at":"2026-05-18T00:50:02.729673Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:02.729673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vjcj3wWoM7ZIvfX4VNUaigmWQy6NLFLhuE3ix/tqMS7ynj3hKhkm3gZY7bHobjPPQkA4xpJ7vs8Ddj8/ukHkDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:02.730308Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.07622","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e863ae10450e52859c9a4279e0b84dd3f2e16c9434ede36e0e5b17b5eae2f99","sha256:aaf4ffac034b9c184b9f62c83acf8247669f89bafba4335ac056a2c8d5881873"],"state_sha256":"b58f079740309582f3457e84cc3d2530929306e98f9380933b030a7abaa37fe0"}