{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KHKUCU3OBYZ7QVMJE6CUHLFMKD","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":"398896fac1e0b497f1cf3ef876dad8a129dc9e106ad77c9dad3bf72173d66b0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-01-12T03:54:44Z","title_canon_sha256":"275c23182cafeafb03911c1a810e8af01991e4ea5967a09551ea7d828fde8f51"},"schema_version":"1.0","source":{"id":"1501.02532","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.02532","created_at":"2026-05-18T02:29:17Z"},{"alias_kind":"arxiv_version","alias_value":"1501.02532v3","created_at":"2026-05-18T02:29:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.02532","created_at":"2026-05-18T02:29:17Z"},{"alias_kind":"pith_short_12","alias_value":"KHKUCU3OBYZ7","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"KHKUCU3OBYZ7QVMJ","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"KHKUCU3O","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:8beba3fbd9240887cef5f1ebe65f15b3f7235b0de658ab0aa7164f73b6105f87","target":"graph","created_at":"2026-05-18T02:29:17Z","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":"This paper is devoted to a Radon-type transform arising in a version of Photoacoustic Tomography that uses integrating circular detectors. We show that the transform can be decomposed into the spherical Radon transform and the Funk-Minkowski transform. An inversion formula and a range description are obtained by combining existing inversion for- mulas and range descriptions for the spherical Radon transform and the Funk-Minkowski transform. Numerical simulations are performed to demonstrate our proposed algorithm.","authors_text":"Dustin Steinhauer, Sunghwan Moon, Yulia Hristova","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-01-12T03:54:44Z","title":"A Radon-type transform arising in Photoacoustic Tomography with circular detectors: spherical geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.02532","kind":"arxiv","version":3},"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":"sha256:8b2d8da5896a9e6e83c09368425896d0f798811020b014040555fee694667d45","target":"record","created_at":"2026-05-18T02:29:17Z","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":"398896fac1e0b497f1cf3ef876dad8a129dc9e106ad77c9dad3bf72173d66b0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-01-12T03:54:44Z","title_canon_sha256":"275c23182cafeafb03911c1a810e8af01991e4ea5967a09551ea7d828fde8f51"},"schema_version":"1.0","source":{"id":"1501.02532","kind":"arxiv","version":3}},"canonical_sha256":"51d541536e0e33f85589278543acac50df42c8d104c8e21650160e3f0c8a7036","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51d541536e0e33f85589278543acac50df42c8d104c8e21650160e3f0c8a7036","first_computed_at":"2026-05-18T02:29:17.044038Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:17.044038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cyCNlMEM+RmSwTXEI4WxdjsU0P0aekOFhHmOpMpRXHU3pcEMepcG+7KsTEtMpMKfVkI7ySp/gD97y0u9CaPYDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:17.044447Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.02532","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b2d8da5896a9e6e83c09368425896d0f798811020b014040555fee694667d45","sha256:8beba3fbd9240887cef5f1ebe65f15b3f7235b0de658ab0aa7164f73b6105f87"],"state_sha256":"da9e60e961a0f760af47eaa124763f16d5ce1c14eb2cfd3b898dbd6328caf98b"}