{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:63LHNLEDFEPXO2L5R4XDTFPUHO","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":"653b97f364c0361d2a29ac0b696142ffc28b88a1fb8ea9e08d17ac1b93c8d854","cross_cats_sorted":["math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-07-14T12:23:04Z","title_canon_sha256":"5c37f8e57cc50d0d056e4450eb9615e6b7c922a0b450f812213ab7cff6172a6f"},"schema_version":"1.0","source":{"id":"1407.3621","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.3621","created_at":"2026-05-18T01:25:03Z"},{"alias_kind":"arxiv_version","alias_value":"1407.3621v2","created_at":"2026-05-18T01:25:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.3621","created_at":"2026-05-18T01:25:03Z"},{"alias_kind":"pith_short_12","alias_value":"63LHNLEDFEPX","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"63LHNLEDFEPXO2L5","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"63LHNLED","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:d6a3b177b29633a77ea5efed8b74e2fc558132e9849e8e657c76b60b2dac4512","target":"graph","created_at":"2026-05-18T01:25:03Z","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":"We show how to reduce the general formulation of the mass-angular momentum-charge inequality, for axisymmetric initial data of the Einstein-Maxwell equations, to the known maximal case whenever a geometrically motivated system of equations admits a solution. It is also shown that the same reduction argument applies to the basic inequality yielding a lower bound for the area of black holes in terms of mass, angular momentum, and charge. This extends previous work by the authors [4] (arXiv:1401.3384), in which the role of charge was omitted. Lastly, we improve upon the hypotheses required for th","authors_text":"Marcus A. Khuri, Ye Sle Cha","cross_cats":["math-ph","math.DG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-07-14T12:23:04Z","title":"Deformations of Charged Axially Symmetric Initial Data and the Mass-Angular Momentum-Charge Inequality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.3621","kind":"arxiv","version":2},"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":"sha256:92d18332a9843d04dcd4c88f4c760398d9eeb3576e6ef85c1e1fbb1a76ef51e3","target":"record","created_at":"2026-05-18T01:25:03Z","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":"653b97f364c0361d2a29ac0b696142ffc28b88a1fb8ea9e08d17ac1b93c8d854","cross_cats_sorted":["math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-07-14T12:23:04Z","title_canon_sha256":"5c37f8e57cc50d0d056e4450eb9615e6b7c922a0b450f812213ab7cff6172a6f"},"schema_version":"1.0","source":{"id":"1407.3621","kind":"arxiv","version":2}},"canonical_sha256":"f6d676ac83291f77697d8f2e3995f43b84ab1d86a608e9f56f80942e1ff63d3b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6d676ac83291f77697d8f2e3995f43b84ab1d86a608e9f56f80942e1ff63d3b","first_computed_at":"2026-05-18T01:25:03.369725Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:03.369725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"llw+NHPYsB8lWFAK+fn7glzX/b7KUYq0uFr8dINsWuLzQyEzkPQdCbFNC16uGR2xN4thfHOesg++YTQppCg+Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:03.370333Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.3621","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:92d18332a9843d04dcd4c88f4c760398d9eeb3576e6ef85c1e1fbb1a76ef51e3","sha256:d6a3b177b29633a77ea5efed8b74e2fc558132e9849e8e657c76b60b2dac4512"],"state_sha256":"1a15e94292d360b56dc971e4680986588cb8d52dcde45c53ef361fbde67acb6f"}