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The Ernst potentials are expressed in terms of the spinor potential by $% {\\cal E}=\\frac{\\Psi_1-\\Psi _2}{\\Psi_1+\\Psi_2}$, $\\Phi =\\frac{\\Psi_3}{% \\Psi_1+\\Psi_2}$ . The group invariant vector $\\vec{C}=-2i\\func{Im}\\{\\Psi ^{\\dagger}\\cdot \\nabla \\Psi \\}$ i"},"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":"gr-qc/0003102","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2000-03-28T16:01:19Z","cross_cats_sorted":[],"title_canon_sha256":"edcbd77830d116ec9a7b8c876d4540d23e7920b6e9950bee656c1b6fdac9819e","abstract_canon_sha256":"e3cb2dfbe7e041e25013a9e93037d391b2a7a3539a85464c0dfa89a14445ebab"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:48.123194Z","signature_b64":"uUkIzLxbfBbfbNAQ9sK5PE0dD4XimV/eDPhCPPo4tJKoN9VlqQ5HJum81fLoOxwUbRbgb7LiG1viHmIhQvS/Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dacdf3c49d3e443d16d72768c280ae760e9ba58674a3941562180864dcc3499a","last_reissued_at":"2026-05-18T01:06:48.122420Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:48.122420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Class of Einstein-Maxwell Fields Generalizing the Equilibrium Solutions","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Zolt\\'an Perj\\'es","submitted_at":"2000-03-28T16:01:19Z","abstract_excerpt":"The Einstein-Maxwell fields of rotating stationary sources are represented by the SU(2,1) spinor potential $\\Psi_A$ satisfying \\[ \\nabla \\cdot [\\Theta ^{-1}(\\Psi_A\\nabla \\Psi_B-\\Psi_B\\nabla \\Psi_A)]=-2\\Theta ^{-2}\\vec{C}\\cdot (\\Psi_A\\nabla \\Psi_B-\\Psi_B\\nabla \\Psi_A) \\] where $\\Theta =\\Psi ^{\\dagger }\\cdot \\Psi $ is the SU(2,1) norm of $\\Psi $% . The Ernst potentials are expressed in terms of the spinor potential by $% {\\cal E}=\\frac{\\Psi_1-\\Psi _2}{\\Psi_1+\\Psi_2}$, $\\Phi =\\frac{\\Psi_3}{% \\Psi_1+\\Psi_2}$ . The group invariant vector $\\vec{C}=-2i\\func{Im}\\{\\Psi ^{\\dagger}\\cdot \\nabla \\Psi \\}$ i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0003102","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":"gr-qc/0003102","created_at":"2026-05-18T01:06:48.122565+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0003102v1","created_at":"2026-05-18T01:06:48.122565+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0003102","created_at":"2026-05-18T01:06:48.122565+00:00"},{"alias_kind":"pith_short_12","alias_value":"3LG7HRE5HZCD","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_16","alias_value":"3LG7HRE5HZCD2FWX","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_8","alias_value":"3LG7HRE5","created_at":"2026-05-18T12:25:49.631198+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/3LG7HRE5HZCD2FWXE5UMFAFOOY","json":"https://pith.science/pith/3LG7HRE5HZCD2FWXE5UMFAFOOY.json","graph_json":"https://pith.science/api/pith-number/3LG7HRE5HZCD2FWXE5UMFAFOOY/graph.json","events_json":"https://pith.science/api/pith-number/3LG7HRE5HZCD2FWXE5UMFAFOOY/events.json","paper":"https://pith.science/paper/3LG7HRE5"},"agent_actions":{"view_html":"https://pith.science/pith/3LG7HRE5HZCD2FWXE5UMFAFOOY","download_json":"https://pith.science/pith/3LG7HRE5HZCD2FWXE5UMFAFOOY.json","view_paper":"https://pith.science/paper/3LG7HRE5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0003102&json=true","fetch_graph":"https://pith.science/api/pith-number/3LG7HRE5HZCD2FWXE5UMFAFOOY/graph.json","fetch_events":"https://pith.science/api/pith-number/3LG7HRE5HZCD2FWXE5UMFAFOOY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3LG7HRE5HZCD2FWXE5UMFAFOOY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3LG7HRE5HZCD2FWXE5UMFAFOOY/action/storage_attestation","attest_author":"https://pith.science/pith/3LG7HRE5HZCD2FWXE5UMFAFOOY/action/author_attestation","sign_citation":"https://pith.science/pith/3LG7HRE5HZCD2FWXE5UMFAFOOY/action/citation_signature","submit_replication":"https://pith.science/pith/3LG7HRE5HZCD2FWXE5UMFAFOOY/action/replication_record"}},"created_at":"2026-05-18T01:06:48.122565+00:00","updated_at":"2026-05-18T01:06:48.122565+00:00"}