{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:SDKQOAKP5GM7ELWZLISGC5BEV7","short_pith_number":"pith:SDKQOAKP","canonical_record":{"source":{"id":"1309.6581","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-09-21T11:51:48Z","cross_cats_sorted":[],"title_canon_sha256":"a1182bf37a584f7be447ad8d7ccf6241a22a5c1f4b39bacb23354e630c5e33be","abstract_canon_sha256":"8c66dea32dc77bc5949f5d6ecad4794b9c27f0d39f1ce4a3088fbf88459bb19e"},"schema_version":"1.0"},"canonical_sha256":"90d507014fe999f22ed95a24617424afed6c761bf537bcf43780f9fe9b23dcd8","source":{"kind":"arxiv","id":"1309.6581","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.6581","created_at":"2026-05-18T01:47:26Z"},{"alias_kind":"arxiv_version","alias_value":"1309.6581v1","created_at":"2026-05-18T01:47:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.6581","created_at":"2026-05-18T01:47:26Z"},{"alias_kind":"pith_short_12","alias_value":"SDKQOAKP5GM7","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SDKQOAKP5GM7ELWZ","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SDKQOAKP","created_at":"2026-05-18T12:27:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:SDKQOAKP5GM7ELWZLISGC5BEV7","target":"record","payload":{"canonical_record":{"source":{"id":"1309.6581","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-09-21T11:51:48Z","cross_cats_sorted":[],"title_canon_sha256":"a1182bf37a584f7be447ad8d7ccf6241a22a5c1f4b39bacb23354e630c5e33be","abstract_canon_sha256":"8c66dea32dc77bc5949f5d6ecad4794b9c27f0d39f1ce4a3088fbf88459bb19e"},"schema_version":"1.0"},"canonical_sha256":"90d507014fe999f22ed95a24617424afed6c761bf537bcf43780f9fe9b23dcd8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:47:26.677114Z","signature_b64":"2mnyVMnjLQdYHf5uHfy+G9hZx5L+o5SrQyIbYMjAZW8Z0IvdbkHU9gSp681PQkd0kj90YyGO68zTnj+GtlIsAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90d507014fe999f22ed95a24617424afed6c761bf537bcf43780f9fe9b23dcd8","last_reissued_at":"2026-05-18T01:47:26.676400Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:47:26.676400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.6581","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:47:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vAoA0v7FnOVAbjYGxkX6iBLa4iT4jkRPzfmQG1e61r+7AfYvXsxeVMlZyIrI/l2FPb/5JlS9qiJ2B0PxhV8VAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T02:42:30.439678Z"},"content_sha256":"bc359bfe4697c605fc69467bd498a6589f1b357f57631099ff9233ef0b8df229","schema_version":"1.0","event_id":"sha256:bc359bfe4697c605fc69467bd498a6589f1b357f57631099ff9233ef0b8df229"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:SDKQOAKP5GM7ELWZLISGC5BEV7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact inversion of the conical Radon transform with a fixed opening angle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Gaik Ambartsoumian, Rim Gouia-Zarrad","submitted_at":"2013-09-21T11:51:48Z","abstract_excerpt":"We study a new class of Radon transforms defined on circular cones called the conical Radon transform. In $\\mathbb{R}^3$ it maps a function to its surface integrals over circular cones, and in $\\mathbb{R}^2$ it maps a function to its integrals along two rays with a common vertex. Such transforms appear in various mathematical models arising in medical imaging, nuclear industry and homeland security. This paper contains new results about inversion of conical Radon transform with fixed opening angle and vertical central axis in $\\mathbb{R}^2$ and $\\mathbb{R}^3$. New simple explicit inversion for"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.6581","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:47:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RiKT8LewC9xz4K0RIs8yOo/pjCsZC5pO6Wo/CUGqv/FUUSqgTfAbcQUmm9Uv2Ihp/jiiEM0nIJQVq/z01KWcCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T02:42:30.440029Z"},"content_sha256":"765b2bc5229045bfc486ae4f0bb3fa6d17c5de152fbb1f337fe695ad227908a0","schema_version":"1.0","event_id":"sha256:765b2bc5229045bfc486ae4f0bb3fa6d17c5de152fbb1f337fe695ad227908a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SDKQOAKP5GM7ELWZLISGC5BEV7/bundle.json","state_url":"https://pith.science/pith/SDKQOAKP5GM7ELWZLISGC5BEV7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SDKQOAKP5GM7ELWZLISGC5BEV7/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-22T02:42:30Z","links":{"resolver":"https://pith.science/pith/SDKQOAKP5GM7ELWZLISGC5BEV7","bundle":"https://pith.science/pith/SDKQOAKP5GM7ELWZLISGC5BEV7/bundle.json","state":"https://pith.science/pith/SDKQOAKP5GM7ELWZLISGC5BEV7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SDKQOAKP5GM7ELWZLISGC5BEV7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:SDKQOAKP5GM7ELWZLISGC5BEV7","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":"8c66dea32dc77bc5949f5d6ecad4794b9c27f0d39f1ce4a3088fbf88459bb19e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-09-21T11:51:48Z","title_canon_sha256":"a1182bf37a584f7be447ad8d7ccf6241a22a5c1f4b39bacb23354e630c5e33be"},"schema_version":"1.0","source":{"id":"1309.6581","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.6581","created_at":"2026-05-18T01:47:26Z"},{"alias_kind":"arxiv_version","alias_value":"1309.6581v1","created_at":"2026-05-18T01:47:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.6581","created_at":"2026-05-18T01:47:26Z"},{"alias_kind":"pith_short_12","alias_value":"SDKQOAKP5GM7","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SDKQOAKP5GM7ELWZ","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SDKQOAKP","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:765b2bc5229045bfc486ae4f0bb3fa6d17c5de152fbb1f337fe695ad227908a0","target":"graph","created_at":"2026-05-18T01:47:26Z","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 study a new class of Radon transforms defined on circular cones called the conical Radon transform. In $\\mathbb{R}^3$ it maps a function to its surface integrals over circular cones, and in $\\mathbb{R}^2$ it maps a function to its integrals along two rays with a common vertex. Such transforms appear in various mathematical models arising in medical imaging, nuclear industry and homeland security. This paper contains new results about inversion of conical Radon transform with fixed opening angle and vertical central axis in $\\mathbb{R}^2$ and $\\mathbb{R}^3$. New simple explicit inversion for","authors_text":"Gaik Ambartsoumian, Rim Gouia-Zarrad","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-09-21T11:51:48Z","title":"Exact inversion of the conical Radon transform with a fixed opening angle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.6581","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:bc359bfe4697c605fc69467bd498a6589f1b357f57631099ff9233ef0b8df229","target":"record","created_at":"2026-05-18T01:47:26Z","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":"8c66dea32dc77bc5949f5d6ecad4794b9c27f0d39f1ce4a3088fbf88459bb19e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-09-21T11:51:48Z","title_canon_sha256":"a1182bf37a584f7be447ad8d7ccf6241a22a5c1f4b39bacb23354e630c5e33be"},"schema_version":"1.0","source":{"id":"1309.6581","kind":"arxiv","version":1}},"canonical_sha256":"90d507014fe999f22ed95a24617424afed6c761bf537bcf43780f9fe9b23dcd8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90d507014fe999f22ed95a24617424afed6c761bf537bcf43780f9fe9b23dcd8","first_computed_at":"2026-05-18T01:47:26.676400Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:47:26.676400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2mnyVMnjLQdYHf5uHfy+G9hZx5L+o5SrQyIbYMjAZW8Z0IvdbkHU9gSp681PQkd0kj90YyGO68zTnj+GtlIsAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:47:26.677114Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.6581","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc359bfe4697c605fc69467bd498a6589f1b357f57631099ff9233ef0b8df229","sha256:765b2bc5229045bfc486ae4f0bb3fa6d17c5de152fbb1f337fe695ad227908a0"],"state_sha256":"f1a4290fb2c7b238c0473e42202d56f03bbf0a30018239f61481e2d300d6b571"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6p0xvKnYf/o08TlVR5MWvfEw5l6t8fX1vpgjEO2VUlxM8ylxKM85fFBifUjWG05QBcMTxLYCS7W+j0aYzAs9CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T02:42:30.443518Z","bundle_sha256":"cf984419e2f8e459682ee95c5227fd8e7f853feb40df08b333fd38e4202cd61a"}}