{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:QHVWB5SDT3VKVZXHQC5S7AJF4B","short_pith_number":"pith:QHVWB5SD","schema_version":"1.0","canonical_sha256":"81eb60f6439eeaaae6e780bb2f8125e042ddcdfb4ef19893d326ce16d5f565ee","source":{"kind":"arxiv","id":"1803.10127","version":1},"attestation_state":"computed","paper":{"title":"Some uniqueness theorems for a conical Radon transform","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Sunghwan Moon","submitted_at":"2018-03-27T15:16:08Z","abstract_excerpt":"The conical Radon transform, which assigns to a given function $f$ on $\\mathbb R^3$ its integrals over conical surfaces, arises in several imaging techniques, e.g. in astronomy and homeland security, especially when the so-called Compton cameras are involved. In many practical situations we know this transform only on a subset of its domain. In these situations, it is a natural question what we can say about $f$ from partial information. In this paper, we investigate some uniqueness theorems regarding a conical Radon transform."},"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":"1803.10127","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-03-27T15:16:08Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"4c9f745bb3afe6a0af6011178006fd65bcbe80ebcb11ef3acfeafd850216cfce","abstract_canon_sha256":"391e311d35ad4ff3d535ca60180659651e475e9843baffa369cdacf3ca3a9b46"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:00.365987Z","signature_b64":"j4GBzQn69iXuIckXyOdLsKPOV83pwJRzR/jk00FtFsO9rPesgRTftObLOvazyyJkzpuY8rJYP2PpN0NjOTVeBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"81eb60f6439eeaaae6e780bb2f8125e042ddcdfb4ef19893d326ce16d5f565ee","last_reissued_at":"2026-05-18T00:20:00.365434Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:00.365434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some uniqueness theorems for a conical Radon transform","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Sunghwan Moon","submitted_at":"2018-03-27T15:16:08Z","abstract_excerpt":"The conical Radon transform, which assigns to a given function $f$ on $\\mathbb R^3$ its integrals over conical surfaces, arises in several imaging techniques, e.g. in astronomy and homeland security, especially when the so-called Compton cameras are involved. In many practical situations we know this transform only on a subset of its domain. In these situations, it is a natural question what we can say about $f$ from partial information. In this paper, we investigate some uniqueness theorems regarding a conical Radon transform."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.10127","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":"1803.10127","created_at":"2026-05-18T00:20:00.365526+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.10127v1","created_at":"2026-05-18T00:20:00.365526+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.10127","created_at":"2026-05-18T00:20:00.365526+00:00"},{"alias_kind":"pith_short_12","alias_value":"QHVWB5SDT3VK","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_16","alias_value":"QHVWB5SDT3VKVZXH","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_8","alias_value":"QHVWB5SD","created_at":"2026-05-18T12:32:46.962924+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/QHVWB5SDT3VKVZXHQC5S7AJF4B","json":"https://pith.science/pith/QHVWB5SDT3VKVZXHQC5S7AJF4B.json","graph_json":"https://pith.science/api/pith-number/QHVWB5SDT3VKVZXHQC5S7AJF4B/graph.json","events_json":"https://pith.science/api/pith-number/QHVWB5SDT3VKVZXHQC5S7AJF4B/events.json","paper":"https://pith.science/paper/QHVWB5SD"},"agent_actions":{"view_html":"https://pith.science/pith/QHVWB5SDT3VKVZXHQC5S7AJF4B","download_json":"https://pith.science/pith/QHVWB5SDT3VKVZXHQC5S7AJF4B.json","view_paper":"https://pith.science/paper/QHVWB5SD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.10127&json=true","fetch_graph":"https://pith.science/api/pith-number/QHVWB5SDT3VKVZXHQC5S7AJF4B/graph.json","fetch_events":"https://pith.science/api/pith-number/QHVWB5SDT3VKVZXHQC5S7AJF4B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QHVWB5SDT3VKVZXHQC5S7AJF4B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QHVWB5SDT3VKVZXHQC5S7AJF4B/action/storage_attestation","attest_author":"https://pith.science/pith/QHVWB5SDT3VKVZXHQC5S7AJF4B/action/author_attestation","sign_citation":"https://pith.science/pith/QHVWB5SDT3VKVZXHQC5S7AJF4B/action/citation_signature","submit_replication":"https://pith.science/pith/QHVWB5SDT3VKVZXHQC5S7AJF4B/action/replication_record"}},"created_at":"2026-05-18T00:20:00.365526+00:00","updated_at":"2026-05-18T00:20:00.365526+00:00"}