{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:GUC5P2D5OGQ6MH7VTBQBE7U4IA","short_pith_number":"pith:GUC5P2D5","schema_version":"1.0","canonical_sha256":"3505d7e87d71a1e61ff59860127e9c403f4cef56a0dc2dce5c09c218800e3c3d","source":{"kind":"arxiv","id":"math/0510319","version":1},"attestation_state":"computed","paper":{"title":"A new approach to the reconstruction of images from Radon projections","license":"","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"math.CA","authors_text":"Yuan Xu","submitted_at":"2005-10-15T15:56:30Z","abstract_excerpt":"A new approach is proposed for reconstruction of images from Radon projections. Based on Fourier expansions in orthogonal polynomials of two and three variables, instead of Fourier transforms, the approach provides a new algorithm for the computed tomography. The convergence of the algorithm is established under mild assumptions."},"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":"math/0510319","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CA","submitted_at":"2005-10-15T15:56:30Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"508945330ae79989aff34d1451562e35d8dab2bc1319a77d7758bf7acb238c7b","abstract_canon_sha256":"463517139ca46d65ce4d5fed901d1d2e4fadd38346860654bac9d6884a3e42af"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T22:06:18.264291Z","signature_b64":"t9fVSMS8rDFKVSIdPLmz+asvAnILJF2XrEAYi5RC/9dZMGcdFG+kEXzeWcpnXecQt5IOvqFXnIetMoWpb2F5Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3505d7e87d71a1e61ff59860127e9c403f4cef56a0dc2dce5c09c218800e3c3d","last_reissued_at":"2026-06-03T22:06:18.263888Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T22:06:18.263888Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A new approach to the reconstruction of images from Radon projections","license":"","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"math.CA","authors_text":"Yuan Xu","submitted_at":"2005-10-15T15:56:30Z","abstract_excerpt":"A new approach is proposed for reconstruction of images from Radon projections. Based on Fourier expansions in orthogonal polynomials of two and three variables, instead of Fourier transforms, the approach provides a new algorithm for the computed tomography. The convergence of the algorithm is established under mild assumptions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0510319","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math/0510319/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"math/0510319","created_at":"2026-06-03T22:06:18.263951+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0510319v1","created_at":"2026-06-03T22:06:18.263951+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0510319","created_at":"2026-06-03T22:06:18.263951+00:00"},{"alias_kind":"pith_short_12","alias_value":"GUC5P2D5OGQ6","created_at":"2026-06-03T22:06:18.263951+00:00"},{"alias_kind":"pith_short_16","alias_value":"GUC5P2D5OGQ6MH7V","created_at":"2026-06-03T22:06:18.263951+00:00"},{"alias_kind":"pith_short_8","alias_value":"GUC5P2D5","created_at":"2026-06-03T22:06:18.263951+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/GUC5P2D5OGQ6MH7VTBQBE7U4IA","json":"https://pith.science/pith/GUC5P2D5OGQ6MH7VTBQBE7U4IA.json","graph_json":"https://pith.science/api/pith-number/GUC5P2D5OGQ6MH7VTBQBE7U4IA/graph.json","events_json":"https://pith.science/api/pith-number/GUC5P2D5OGQ6MH7VTBQBE7U4IA/events.json","paper":"https://pith.science/paper/GUC5P2D5"},"agent_actions":{"view_html":"https://pith.science/pith/GUC5P2D5OGQ6MH7VTBQBE7U4IA","download_json":"https://pith.science/pith/GUC5P2D5OGQ6MH7VTBQBE7U4IA.json","view_paper":"https://pith.science/paper/GUC5P2D5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0510319&json=true","fetch_graph":"https://pith.science/api/pith-number/GUC5P2D5OGQ6MH7VTBQBE7U4IA/graph.json","fetch_events":"https://pith.science/api/pith-number/GUC5P2D5OGQ6MH7VTBQBE7U4IA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GUC5P2D5OGQ6MH7VTBQBE7U4IA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GUC5P2D5OGQ6MH7VTBQBE7U4IA/action/storage_attestation","attest_author":"https://pith.science/pith/GUC5P2D5OGQ6MH7VTBQBE7U4IA/action/author_attestation","sign_citation":"https://pith.science/pith/GUC5P2D5OGQ6MH7VTBQBE7U4IA/action/citation_signature","submit_replication":"https://pith.science/pith/GUC5P2D5OGQ6MH7VTBQBE7U4IA/action/replication_record"}},"created_at":"2026-06-03T22:06:18.263951+00:00","updated_at":"2026-06-03T22:06:18.263951+00:00"}