{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:RQBUAC3U574SCN53INN4SKDN4V","short_pith_number":"pith:RQBUAC3U","canonical_record":{"source":{"id":"1403.7931","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-31T09:53:09Z","cross_cats_sorted":[],"title_canon_sha256":"fb2005405dd75cc17c0dc5fb8d4a963513c68af9eb9fb8d7c0f80fde9997390a","abstract_canon_sha256":"3537314e0336326533c0a8a761a2dcc05f87709f87b3936504d28c8f27307db7"},"schema_version":"1.0"},"canonical_sha256":"8c03400b74eff92137bb435bc9286de553c62fb0d3b1461df47347eb589b3942","source":{"kind":"arxiv","id":"1403.7931","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7931","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7931v1","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7931","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"pith_short_12","alias_value":"RQBUAC3U574S","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RQBUAC3U574SCN53","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RQBUAC3U","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:RQBUAC3U574SCN53INN4SKDN4V","target":"record","payload":{"canonical_record":{"source":{"id":"1403.7931","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-31T09:53:09Z","cross_cats_sorted":[],"title_canon_sha256":"fb2005405dd75cc17c0dc5fb8d4a963513c68af9eb9fb8d7c0f80fde9997390a","abstract_canon_sha256":"3537314e0336326533c0a8a761a2dcc05f87709f87b3936504d28c8f27307db7"},"schema_version":"1.0"},"canonical_sha256":"8c03400b74eff92137bb435bc9286de553c62fb0d3b1461df47347eb589b3942","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:12.122451Z","signature_b64":"fsFgMpEGtO7ksJCoLC73KccZFJ4x2NHMruWptO0K4PPb70DmdJvlwcv+LDIcHjOKcqHqNaOZPjVFMLp8TbqABQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c03400b74eff92137bb435bc9286de553c62fb0d3b1461df47347eb589b3942","last_reissued_at":"2026-05-18T02:55:12.121985Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:12.121985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.7931","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":"2026-05-18T02:55:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kmI+hMZDZnmTfZyfDSlaYnOAvMMTESOG268OF2MOQWCPnRrBdnrBEzRsN0+lyWdKtsvkBxPtBSY8aHFl1EiFAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T17:43:56.667009Z"},"content_sha256":"6444e88bdb11cc7648add6601e735ecfd0d78ed6748941d6e2374a09761a7863","schema_version":"1.0","event_id":"sha256:6444e88bdb11cc7648add6601e735ecfd0d78ed6748941d6e2374a09761a7863"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:RQBUAC3U574SCN53INN4SKDN4V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Characterization and inversion theorems for a generalized Radon transform","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Alexey Agaltsov","submitted_at":"2014-03-31T09:53:09Z","abstract_excerpt":"In this paper the generalized Radon transform over level hypersurfaces of CES-functions of measures supported in positive orthant is studied. A characterization of the generalized Radon transform of nonnegative measures is found. Explicit inversion formula for the generalized Radon transform of absolutely continuous measures is obtained."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7931","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":"2026-05-18T02:55:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+fqNW9gk8k98N+FZypfQSm7fXIvBQX80EfslxYd/ORZoldUM0hFYWHyhD4qhpsFuZHhOc6xKUnFYIeWE6wA3AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T17:43:56.667353Z"},"content_sha256":"aa293cd748261f9e2c3021340a1e2a70d9e79bbf03a34f7c9ecf3aa2a6d24137","schema_version":"1.0","event_id":"sha256:aa293cd748261f9e2c3021340a1e2a70d9e79bbf03a34f7c9ecf3aa2a6d24137"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RQBUAC3U574SCN53INN4SKDN4V/bundle.json","state_url":"https://pith.science/pith/RQBUAC3U574SCN53INN4SKDN4V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RQBUAC3U574SCN53INN4SKDN4V/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":"2026-06-20T17:43:56Z","links":{"resolver":"https://pith.science/pith/RQBUAC3U574SCN53INN4SKDN4V","bundle":"https://pith.science/pith/RQBUAC3U574SCN53INN4SKDN4V/bundle.json","state":"https://pith.science/pith/RQBUAC3U574SCN53INN4SKDN4V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RQBUAC3U574SCN53INN4SKDN4V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RQBUAC3U574SCN53INN4SKDN4V","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":"3537314e0336326533c0a8a761a2dcc05f87709f87b3936504d28c8f27307db7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-31T09:53:09Z","title_canon_sha256":"fb2005405dd75cc17c0dc5fb8d4a963513c68af9eb9fb8d7c0f80fde9997390a"},"schema_version":"1.0","source":{"id":"1403.7931","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7931","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7931v1","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7931","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"pith_short_12","alias_value":"RQBUAC3U574S","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RQBUAC3U574SCN53","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RQBUAC3U","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:aa293cd748261f9e2c3021340a1e2a70d9e79bbf03a34f7c9ecf3aa2a6d24137","target":"graph","created_at":"2026-05-18T02:55:12Z","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":"In this paper the generalized Radon transform over level hypersurfaces of CES-functions of measures supported in positive orthant is studied. A characterization of the generalized Radon transform of nonnegative measures is found. Explicit inversion formula for the generalized Radon transform of absolutely continuous measures is obtained.","authors_text":"Alexey Agaltsov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-31T09:53:09Z","title":"Characterization and inversion theorems for a generalized Radon transform"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7931","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":"sha256:6444e88bdb11cc7648add6601e735ecfd0d78ed6748941d6e2374a09761a7863","target":"record","created_at":"2026-05-18T02:55:12Z","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":"3537314e0336326533c0a8a761a2dcc05f87709f87b3936504d28c8f27307db7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-03-31T09:53:09Z","title_canon_sha256":"fb2005405dd75cc17c0dc5fb8d4a963513c68af9eb9fb8d7c0f80fde9997390a"},"schema_version":"1.0","source":{"id":"1403.7931","kind":"arxiv","version":1}},"canonical_sha256":"8c03400b74eff92137bb435bc9286de553c62fb0d3b1461df47347eb589b3942","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c03400b74eff92137bb435bc9286de553c62fb0d3b1461df47347eb589b3942","first_computed_at":"2026-05-18T02:55:12.121985Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:12.121985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fsFgMpEGtO7ksJCoLC73KccZFJ4x2NHMruWptO0K4PPb70DmdJvlwcv+LDIcHjOKcqHqNaOZPjVFMLp8TbqABQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:12.122451Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.7931","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6444e88bdb11cc7648add6601e735ecfd0d78ed6748941d6e2374a09761a7863","sha256:aa293cd748261f9e2c3021340a1e2a70d9e79bbf03a34f7c9ecf3aa2a6d24137"],"state_sha256":"aef252ea6f880110d9340ad6ba8907d4968fedb98201d7d980a9d9bcc177b1de"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Za0dS/RM3yBPNF93Tc58x4YVVIcaPrB6A+HI/uSbvCUkMY75qKJHic5wyXd9bRe0rz3TN8ebBMNu2ll+0zYaBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T17:43:56.671498Z","bundle_sha256":"83b73242202e81ec7022a1b9d1587fce5772b00d5efd81672155a59c1474bba2"}}