{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:SCHAMAGHGYHPMUE44YGCGQYBOU","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":"216f6cc7234e2e55966b2f07b90cf9a9032cd8e94f7ed2520bf3c73f75b6ac99","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2019-06-13T08:02:29Z","title_canon_sha256":"825ccd770c55b8c7c19de9e56e5bd42155fb14b14aed79f461d804925f4b7d75"},"schema_version":"1.0","source":{"id":"1906.05534","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.05534","created_at":"2026-05-17T23:43:25Z"},{"alias_kind":"arxiv_version","alias_value":"1906.05534v1","created_at":"2026-05-17T23:43:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.05534","created_at":"2026-05-17T23:43:25Z"},{"alias_kind":"pith_short_12","alias_value":"SCHAMAGHGYHP","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"SCHAMAGHGYHPMUE4","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"SCHAMAGH","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:10511d51fd5ad1e1fa32a0019386f02ab7a6523e17f1db0daf50417755c219fc","target":"graph","created_at":"2026-05-17T23:43:25Z","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":"The Grad-Shafranov equation is solved using spectral elements for tokamak equilibrium with toroidal rotation. The Grad-Shafranov solver builds upon and extends the NIMEQ code [Howell and Sovinec, Comput. Phys. Commun. 185 (2014) 1415] previously developed for static tokamak equilibria. Both geometric and algebraic convergence are achieved as the polynomial degree of the spectral-element basis increases. A new analytical solution to the Grad-Shafranov equation is obtained for Solov'ev equilibrium in presence of rigid toroidal rotation, in addition to a previously obtained analytical solution fo","authors_text":"Haolong Li, Ping Zhu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2019-06-13T08:02:29Z","title":"Solving the Grad-Shafranov equation using spectral elements for tokamak equilibrium with toroidal rotation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.05534","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":"sha256:30bbc27211f3aa931e5512b6d89738675c0db7894a828d481ee8bc0b7c6b3ec4","target":"record","created_at":"2026-05-17T23:43:25Z","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":"216f6cc7234e2e55966b2f07b90cf9a9032cd8e94f7ed2520bf3c73f75b6ac99","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2019-06-13T08:02:29Z","title_canon_sha256":"825ccd770c55b8c7c19de9e56e5bd42155fb14b14aed79f461d804925f4b7d75"},"schema_version":"1.0","source":{"id":"1906.05534","kind":"arxiv","version":1}},"canonical_sha256":"908e0600c7360ef6509ce60c2343017503acf52d449555f2ca039f2941c15931","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"908e0600c7360ef6509ce60c2343017503acf52d449555f2ca039f2941c15931","first_computed_at":"2026-05-17T23:43:25.133205Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:25.133205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i0Tgqx5Cpg0ckk9vv4Iu2EZHhDVu/88TEXkfwCsACKnpiZ8QLh/EaZSCIa8VqiLaITu3DtXE112Ct89Mucx1DA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:25.133697Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.05534","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:30bbc27211f3aa931e5512b6d89738675c0db7894a828d481ee8bc0b7c6b3ec4","sha256:10511d51fd5ad1e1fa32a0019386f02ab7a6523e17f1db0daf50417755c219fc"],"state_sha256":"57cffcc33ae02873624fc8cd2d61caff51f087161a22008dcdcc69c4e6198d6c"}