{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:5IN7NAPS7JVYMQYSBHWH56U5I6","short_pith_number":"pith:5IN7NAPS","schema_version":"1.0","canonical_sha256":"ea1bf681f2fa6b86431209ec7efa9d47999a9289bf30022f1c227e03bb4bcf39","source":{"kind":"arxiv","id":"0902.0272","version":1},"attestation_state":"computed","paper":{"title":"Toroidal equilibria in spherical coordinates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.plasm-ph","authors_text":"K. H. Tsui","submitted_at":"2009-02-02T14:02:56Z","abstract_excerpt":"The standard Grad-Shafranov equation for axisymmetric toroidal plasma equilibrium is customary expressed in cylindrical coordinates with toroidal contours, and through which benchmark equilibria are solved. An alternative approach to cast the Grad-Shafranov equation in spherical coordinates is presented. This equation, in spherical coordinates, is examined for toroidal solutions to describe low $\\beta$ Solovev and high $\\beta$ plasma equilibria in terms of elementary functions."},"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":"0902.0272","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2009-02-02T14:02:56Z","cross_cats_sorted":[],"title_canon_sha256":"e8bc7609e7a7ccffdc7507bf9b20f25834bff82f06727b13767d099ace946ffc","abstract_canon_sha256":"9576a750d311995988bbdbeaef04dbfecf96ba9b46f2997e29c9bc7acfa74f3a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:43:05.527211Z","signature_b64":"36Thce0IomOSIN0AF5wWLacyRAtKElbUyV7OKo9g4NrOCsUHklWNK9TSdBUzLZoB82ZDPNsUUqycz0VuUwULAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea1bf681f2fa6b86431209ec7efa9d47999a9289bf30022f1c227e03bb4bcf39","last_reissued_at":"2026-05-18T03:43:05.526460Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:43:05.526460Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Toroidal equilibria in spherical coordinates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.plasm-ph","authors_text":"K. H. Tsui","submitted_at":"2009-02-02T14:02:56Z","abstract_excerpt":"The standard Grad-Shafranov equation for axisymmetric toroidal plasma equilibrium is customary expressed in cylindrical coordinates with toroidal contours, and through which benchmark equilibria are solved. An alternative approach to cast the Grad-Shafranov equation in spherical coordinates is presented. This equation, in spherical coordinates, is examined for toroidal solutions to describe low $\\beta$ Solovev and high $\\beta$ plasma equilibria in terms of elementary functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.0272","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0902.0272","created_at":"2026-05-18T03:43:05.526575+00:00"},{"alias_kind":"arxiv_version","alias_value":"0902.0272v1","created_at":"2026-05-18T03:43:05.526575+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.0272","created_at":"2026-05-18T03:43:05.526575+00:00"},{"alias_kind":"pith_short_12","alias_value":"5IN7NAPS7JVY","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_16","alias_value":"5IN7NAPS7JVYMQYS","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_8","alias_value":"5IN7NAPS","created_at":"2026-05-18T12:25:58.837520+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/5IN7NAPS7JVYMQYSBHWH56U5I6","json":"https://pith.science/pith/5IN7NAPS7JVYMQYSBHWH56U5I6.json","graph_json":"https://pith.science/api/pith-number/5IN7NAPS7JVYMQYSBHWH56U5I6/graph.json","events_json":"https://pith.science/api/pith-number/5IN7NAPS7JVYMQYSBHWH56U5I6/events.json","paper":"https://pith.science/paper/5IN7NAPS"},"agent_actions":{"view_html":"https://pith.science/pith/5IN7NAPS7JVYMQYSBHWH56U5I6","download_json":"https://pith.science/pith/5IN7NAPS7JVYMQYSBHWH56U5I6.json","view_paper":"https://pith.science/paper/5IN7NAPS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0902.0272&json=true","fetch_graph":"https://pith.science/api/pith-number/5IN7NAPS7JVYMQYSBHWH56U5I6/graph.json","fetch_events":"https://pith.science/api/pith-number/5IN7NAPS7JVYMQYSBHWH56U5I6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5IN7NAPS7JVYMQYSBHWH56U5I6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5IN7NAPS7JVYMQYSBHWH56U5I6/action/storage_attestation","attest_author":"https://pith.science/pith/5IN7NAPS7JVYMQYSBHWH56U5I6/action/author_attestation","sign_citation":"https://pith.science/pith/5IN7NAPS7JVYMQYSBHWH56U5I6/action/citation_signature","submit_replication":"https://pith.science/pith/5IN7NAPS7JVYMQYSBHWH56U5I6/action/replication_record"}},"created_at":"2026-05-18T03:43:05.526575+00:00","updated_at":"2026-05-18T03:43:05.526575+00:00"}