{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:VJMFXIOZOFOKPFX4IYQYMNSIOR","short_pith_number":"pith:VJMFXIOZ","canonical_record":{"source":{"id":"1510.07151","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-10-24T14:40:49Z","cross_cats_sorted":[],"title_canon_sha256":"9eeeaefff484cc659c1dc13d0bda3d1004f4de9e4307665ca8d12891e01ea33b","abstract_canon_sha256":"6227cec955659f5b707f01617caab54bfa6cfdf986f46d611b9bc4a7330028ed"},"schema_version":"1.0"},"canonical_sha256":"aa585ba1d9715ca796fc46218636487449bb288e10363aa11ecda3db680275b6","source":{"kind":"arxiv","id":"1510.07151","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.07151","created_at":"2026-05-18T01:29:19Z"},{"alias_kind":"arxiv_version","alias_value":"1510.07151v1","created_at":"2026-05-18T01:29:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.07151","created_at":"2026-05-18T01:29:19Z"},{"alias_kind":"pith_short_12","alias_value":"VJMFXIOZOFOK","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"VJMFXIOZOFOKPFX4","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"VJMFXIOZ","created_at":"2026-05-18T12:29:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:VJMFXIOZOFOKPFX4IYQYMNSIOR","target":"record","payload":{"canonical_record":{"source":{"id":"1510.07151","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-10-24T14:40:49Z","cross_cats_sorted":[],"title_canon_sha256":"9eeeaefff484cc659c1dc13d0bda3d1004f4de9e4307665ca8d12891e01ea33b","abstract_canon_sha256":"6227cec955659f5b707f01617caab54bfa6cfdf986f46d611b9bc4a7330028ed"},"schema_version":"1.0"},"canonical_sha256":"aa585ba1d9715ca796fc46218636487449bb288e10363aa11ecda3db680275b6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:29:19.918565Z","signature_b64":"cyuiLq7+entluvLPRTrqw6Pk62S3121bnT0dUYo5u85M/WqMvgPrsP0jJOr+exqESORgjYltzoNp04bRnOnICg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa585ba1d9715ca796fc46218636487449bb288e10363aa11ecda3db680275b6","last_reissued_at":"2026-05-18T01:29:19.917968Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:29:19.917968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.07151","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":"2026-05-18T01:29:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PSJC5vk+xbx4wLsPnlAdRbzZ3prOqTDSH4jOejdcbdH27kOhE6hbVJfckdXUbe+OJ2Fwsrk2n79MNFGGTssUBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T22:22:07.041787Z"},"content_sha256":"22e93669b1c2c2459cd9c73903b1b8710922345912bae104fd42e6f256503638","schema_version":"1.0","event_id":"sha256:22e93669b1c2c2459cd9c73903b1b8710922345912bae104fd42e6f256503638"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:VJMFXIOZOFOKPFX4IYQYMNSIOR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Limited data problems for the generalized Radon transform in $\\mathbb{R}^n$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Eric Todd Quinto, J\\\"urgen Frikel","submitted_at":"2015-10-24T14:40:49Z","abstract_excerpt":"We consider the generalized Radon transform (defined in terms of smooth weight functions) on hyperplanes in $\\mathbb{R}^n$. We analyze general filtered backprojection type reconstruction methods for limited data with filters given by general pseudodifferential operators. We provide microlocal characterizations of visible and added singularities in $\\mathbb{R}^n$ and define modified versions of reconstruction operators that do not generate added artifacts. We calculate the symbol of our general reconstruction operators as pseudodifferential operators, and provide conditions for the filters unde"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.07151","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":"2026-05-18T01:29:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tfO4p23zRno17ryQN7AbxkE5K5bkaG1K2lx7qwGxbESUuY2p7t4GX2pYP0FV8bgsGqmLeBmzx+ZXg5zjxRy9Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T22:22:07.042140Z"},"content_sha256":"2cf92f9a921fde9ea1f4494c3870a4df6d51dad42dfd5806ed422e06277c56ee","schema_version":"1.0","event_id":"sha256:2cf92f9a921fde9ea1f4494c3870a4df6d51dad42dfd5806ed422e06277c56ee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VJMFXIOZOFOKPFX4IYQYMNSIOR/bundle.json","state_url":"https://pith.science/pith/VJMFXIOZOFOKPFX4IYQYMNSIOR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VJMFXIOZOFOKPFX4IYQYMNSIOR/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":"2026-06-21T22:22:07Z","links":{"resolver":"https://pith.science/pith/VJMFXIOZOFOKPFX4IYQYMNSIOR","bundle":"https://pith.science/pith/VJMFXIOZOFOKPFX4IYQYMNSIOR/bundle.json","state":"https://pith.science/pith/VJMFXIOZOFOKPFX4IYQYMNSIOR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VJMFXIOZOFOKPFX4IYQYMNSIOR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:VJMFXIOZOFOKPFX4IYQYMNSIOR","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":"6227cec955659f5b707f01617caab54bfa6cfdf986f46d611b9bc4a7330028ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-10-24T14:40:49Z","title_canon_sha256":"9eeeaefff484cc659c1dc13d0bda3d1004f4de9e4307665ca8d12891e01ea33b"},"schema_version":"1.0","source":{"id":"1510.07151","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.07151","created_at":"2026-05-18T01:29:19Z"},{"alias_kind":"arxiv_version","alias_value":"1510.07151v1","created_at":"2026-05-18T01:29:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.07151","created_at":"2026-05-18T01:29:19Z"},{"alias_kind":"pith_short_12","alias_value":"VJMFXIOZOFOK","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"VJMFXIOZOFOKPFX4","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"VJMFXIOZ","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:2cf92f9a921fde9ea1f4494c3870a4df6d51dad42dfd5806ed422e06277c56ee","target":"graph","created_at":"2026-05-18T01:29:19Z","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 consider the generalized Radon transform (defined in terms of smooth weight functions) on hyperplanes in $\\mathbb{R}^n$. We analyze general filtered backprojection type reconstruction methods for limited data with filters given by general pseudodifferential operators. We provide microlocal characterizations of visible and added singularities in $\\mathbb{R}^n$ and define modified versions of reconstruction operators that do not generate added artifacts. We calculate the symbol of our general reconstruction operators as pseudodifferential operators, and provide conditions for the filters unde","authors_text":"Eric Todd Quinto, J\\\"urgen Frikel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-10-24T14:40:49Z","title":"Limited data problems for the generalized Radon transform in $\\mathbb{R}^n$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.07151","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":"sha256:22e93669b1c2c2459cd9c73903b1b8710922345912bae104fd42e6f256503638","target":"record","created_at":"2026-05-18T01:29:19Z","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":"6227cec955659f5b707f01617caab54bfa6cfdf986f46d611b9bc4a7330028ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-10-24T14:40:49Z","title_canon_sha256":"9eeeaefff484cc659c1dc13d0bda3d1004f4de9e4307665ca8d12891e01ea33b"},"schema_version":"1.0","source":{"id":"1510.07151","kind":"arxiv","version":1}},"canonical_sha256":"aa585ba1d9715ca796fc46218636487449bb288e10363aa11ecda3db680275b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa585ba1d9715ca796fc46218636487449bb288e10363aa11ecda3db680275b6","first_computed_at":"2026-05-18T01:29:19.917968Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:29:19.917968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cyuiLq7+entluvLPRTrqw6Pk62S3121bnT0dUYo5u85M/WqMvgPrsP0jJOr+exqESORgjYltzoNp04bRnOnICg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:29:19.918565Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.07151","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22e93669b1c2c2459cd9c73903b1b8710922345912bae104fd42e6f256503638","sha256:2cf92f9a921fde9ea1f4494c3870a4df6d51dad42dfd5806ed422e06277c56ee"],"state_sha256":"1583a2b9400a497b375577b46f90bdda448bf81b051b8faee775430d81cb20a4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s1tB8MqxNMWV1iZMtgu8utOyVd02HPfF3A3jNgzF/3SRj8R04aDozgvdnCih6a1PWsJNeDl25oQi3hs2vxvXAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T22:22:07.044131Z","bundle_sha256":"9cbb13733fb7c0ff8290ab3885cfdfea53c97c1a40e63874ddd58f855cd69e00"}}