{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:XU7GKX4QLDPQE2TZFWE6KV2F5J","short_pith_number":"pith:XU7GKX4Q","schema_version":"1.0","canonical_sha256":"bd3e655f9058df026a792d89e55745ea62e2ea695baad9c6eb01e55dcd1cf105","source":{"kind":"arxiv","id":"1702.07622","version":1},"attestation_state":"computed","paper":{"title":"Geodesic X-ray tomography for piecewise constant functions on nontrapping manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Jere Lehtonen, Joonas Ilmavirta, Mikko Salo","submitted_at":"2017-02-24T15:17:12Z","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."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1702.07622","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-02-24T15:17:12Z","cross_cats_sorted":[],"title_canon_sha256":"fd17e29b2f602d958c63e61a08c23dc6d3c0a596b304f5d59a58b26e7b108632","abstract_canon_sha256":"cf750075247be95cf598caa424ae5e9fba6fd64485dee81d725e7a503fafeebc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:02.730308Z","signature_b64":"vjcj3wWoM7ZIvfX4VNUaigmWQy6NLFLhuE3ix/tqMS7ynj3hKhkm3gZY7bHobjPPQkA4xpJ7vs8Ddj8/ukHkDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd3e655f9058df026a792d89e55745ea62e2ea695baad9c6eb01e55dcd1cf105","last_reissued_at":"2026-05-18T00:50:02.729673Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:02.729673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geodesic X-ray tomography for piecewise constant functions on nontrapping manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Jere Lehtonen, Joonas Ilmavirta, Mikko Salo","submitted_at":"2017-02-24T15:17:12Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07622","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1702.07622","created_at":"2026-05-18T00:50:02.729790+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.07622v1","created_at":"2026-05-18T00:50:02.729790+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07622","created_at":"2026-05-18T00:50:02.729790+00:00"},{"alias_kind":"pith_short_12","alias_value":"XU7GKX4QLDPQ","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_16","alias_value":"XU7GKX4QLDPQE2TZ","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_8","alias_value":"XU7GKX4Q","created_at":"2026-05-18T12:31:56.362134+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XU7GKX4QLDPQE2TZFWE6KV2F5J","json":"https://pith.science/pith/XU7GKX4QLDPQE2TZFWE6KV2F5J.json","graph_json":"https://pith.science/api/pith-number/XU7GKX4QLDPQE2TZFWE6KV2F5J/graph.json","events_json":"https://pith.science/api/pith-number/XU7GKX4QLDPQE2TZFWE6KV2F5J/events.json","paper":"https://pith.science/paper/XU7GKX4Q"},"agent_actions":{"view_html":"https://pith.science/pith/XU7GKX4QLDPQE2TZFWE6KV2F5J","download_json":"https://pith.science/pith/XU7GKX4QLDPQE2TZFWE6KV2F5J.json","view_paper":"https://pith.science/paper/XU7GKX4Q","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.07622&json=true","fetch_graph":"https://pith.science/api/pith-number/XU7GKX4QLDPQE2TZFWE6KV2F5J/graph.json","fetch_events":"https://pith.science/api/pith-number/XU7GKX4QLDPQE2TZFWE6KV2F5J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XU7GKX4QLDPQE2TZFWE6KV2F5J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XU7GKX4QLDPQE2TZFWE6KV2F5J/action/storage_attestation","attest_author":"https://pith.science/pith/XU7GKX4QLDPQE2TZFWE6KV2F5J/action/author_attestation","sign_citation":"https://pith.science/pith/XU7GKX4QLDPQE2TZFWE6KV2F5J/action/citation_signature","submit_replication":"https://pith.science/pith/XU7GKX4QLDPQE2TZFWE6KV2F5J/action/replication_record"}},"created_at":"2026-05-18T00:50:02.729790+00:00","updated_at":"2026-05-18T00:50:02.729790+00:00"}