{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:BSVCWNQMXYX4WNVV4YDS3MDNIH","short_pith_number":"pith:BSVCWNQM","schema_version":"1.0","canonical_sha256":"0caa2b360cbe2fcb36b5e6072db06d41c37d87451e08420aa2ee841da3249cee","source":{"kind":"arxiv","id":"1512.01287","version":2},"attestation_state":"computed","paper":{"title":"On the strength of streak artifacts in limited angle weighted X-ray transform","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA","math.MP"],"primary_cat":"math-ph","authors_text":"Linh V. Nguyen","submitted_at":"2015-12-04T00:06:08Z","abstract_excerpt":"In this article, we study the limited angle problem for the weighted X-ray transform. We consider the approximate reconstructions by applying two filtered back projection formulas to the limited data. We prove that each resulted operator can be decomposed into the sum of three Fourier integral operators whose symbols are of types $(\\varrho,\\delta) \\neq (1,0)$. The first operator, being a pseudo-differential operator, is responsible for the reconstruction of visible singularities. The other two are responsible for the generation of the artifacts. The theory of Fourier integral operators then im"},"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":"1512.01287","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-12-04T00:06:08Z","cross_cats_sorted":["math.CA","math.MP"],"title_canon_sha256":"9069c9123eb6b46a538446925c50c8e490401f263fd56b3ce87d3a6ec2815f54","abstract_canon_sha256":"0c1a2ec71c065b599f1418dbeb4a8fe17da7a06951c1817a66d2da628cfc88a8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:25:10.923891Z","signature_b64":"C64RIXwBs6YzcVKgt0EpgxeESthxwlUkO5+aI29m6gOtRZVK28RhCR4zrv4FI/lUvX4i2y0s8dMWe2vZ/JoKCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0caa2b360cbe2fcb36b5e6072db06d41c37d87451e08420aa2ee841da3249cee","last_reissued_at":"2026-05-18T01:25:10.923220Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:25:10.923220Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the strength of streak artifacts in limited angle weighted X-ray transform","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA","math.MP"],"primary_cat":"math-ph","authors_text":"Linh V. Nguyen","submitted_at":"2015-12-04T00:06:08Z","abstract_excerpt":"In this article, we study the limited angle problem for the weighted X-ray transform. We consider the approximate reconstructions by applying two filtered back projection formulas to the limited data. We prove that each resulted operator can be decomposed into the sum of three Fourier integral operators whose symbols are of types $(\\varrho,\\delta) \\neq (1,0)$. The first operator, being a pseudo-differential operator, is responsible for the reconstruction of visible singularities. The other two are responsible for the generation of the artifacts. The theory of Fourier integral operators then im"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.01287","kind":"arxiv","version":2},"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":"1512.01287","created_at":"2026-05-18T01:25:10.923327+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.01287v2","created_at":"2026-05-18T01:25:10.923327+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.01287","created_at":"2026-05-18T01:25:10.923327+00:00"},{"alias_kind":"pith_short_12","alias_value":"BSVCWNQMXYX4","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"BSVCWNQMXYX4WNVV","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"BSVCWNQM","created_at":"2026-05-18T12:29:14.074870+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/BSVCWNQMXYX4WNVV4YDS3MDNIH","json":"https://pith.science/pith/BSVCWNQMXYX4WNVV4YDS3MDNIH.json","graph_json":"https://pith.science/api/pith-number/BSVCWNQMXYX4WNVV4YDS3MDNIH/graph.json","events_json":"https://pith.science/api/pith-number/BSVCWNQMXYX4WNVV4YDS3MDNIH/events.json","paper":"https://pith.science/paper/BSVCWNQM"},"agent_actions":{"view_html":"https://pith.science/pith/BSVCWNQMXYX4WNVV4YDS3MDNIH","download_json":"https://pith.science/pith/BSVCWNQMXYX4WNVV4YDS3MDNIH.json","view_paper":"https://pith.science/paper/BSVCWNQM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.01287&json=true","fetch_graph":"https://pith.science/api/pith-number/BSVCWNQMXYX4WNVV4YDS3MDNIH/graph.json","fetch_events":"https://pith.science/api/pith-number/BSVCWNQMXYX4WNVV4YDS3MDNIH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BSVCWNQMXYX4WNVV4YDS3MDNIH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BSVCWNQMXYX4WNVV4YDS3MDNIH/action/storage_attestation","attest_author":"https://pith.science/pith/BSVCWNQMXYX4WNVV4YDS3MDNIH/action/author_attestation","sign_citation":"https://pith.science/pith/BSVCWNQMXYX4WNVV4YDS3MDNIH/action/citation_signature","submit_replication":"https://pith.science/pith/BSVCWNQMXYX4WNVV4YDS3MDNIH/action/replication_record"}},"created_at":"2026-05-18T01:25:10.923327+00:00","updated_at":"2026-05-18T01:25:10.923327+00:00"}