{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HN2ZTYYD6UAETKHJE5NH5WN66S","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":"a10f38bac8f410ef2df91c952578b251ed14d29a2d97c14482e8392b007b2c28","cross_cats_sorted":["astro-ph.HE","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-12-12T21:00:14Z","title_canon_sha256":"141ce18f8c5f6bd967e281cb930bb3cb99d98976e96a8d13a98833c63084977e"},"schema_version":"1.0","source":{"id":"1412.4124","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.4124","created_at":"2026-05-18T01:34:25Z"},{"alias_kind":"arxiv_version","alias_value":"1412.4124v2","created_at":"2026-05-18T01:34:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.4124","created_at":"2026-05-18T01:34:25Z"},{"alias_kind":"pith_short_12","alias_value":"HN2ZTYYD6UAE","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HN2ZTYYD6UAETKHJ","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HN2ZTYYD","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:10647585ae83dea7738fe58897642ebb4592a9549c606276bb10bdb5527674e9","target":"graph","created_at":"2026-05-18T01:34:25Z","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":"We present new exact solutions of Force-Free Electrodynamics (FFE) in the Near-Horizon region of an Extremal Kerr black hole (NHEK) and offer a complete classification of the subset that form highest-weight representations of the spacetime's SL(2,R) x U(1) isometry group. For a natural choice of spacetime embedding of this isometry group, the SL(2,R) highest-weight conditions lead to stationary solutions with non-trivial angular dependence, as well as axisymmetry when the U(1)-charge vanishes. In addition, we unveil a hidden SL(2,C) symmetry of the equations of FFE that stems from the action o","authors_text":"Alexandru Lupsasca, Maria J. Rodriguez","cross_cats":["astro-ph.HE","gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-12-12T21:00:14Z","title":"Exact Solutions for Extreme Black Hole Magnetospheres"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.4124","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":"sha256:8a6f387b96e34f928511b548e69642aec1b97f8e7aa309e9cb8183ec3292946f","target":"record","created_at":"2026-05-18T01:34:25Z","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":"a10f38bac8f410ef2df91c952578b251ed14d29a2d97c14482e8392b007b2c28","cross_cats_sorted":["astro-ph.HE","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-12-12T21:00:14Z","title_canon_sha256":"141ce18f8c5f6bd967e281cb930bb3cb99d98976e96a8d13a98833c63084977e"},"schema_version":"1.0","source":{"id":"1412.4124","kind":"arxiv","version":2}},"canonical_sha256":"3b7599e303f50049a8e9275a7ed9bef497c92004d40e182b4adece7253a3b307","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b7599e303f50049a8e9275a7ed9bef497c92004d40e182b4adece7253a3b307","first_computed_at":"2026-05-18T01:34:25.115078Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:25.115078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xccPW+Tro/Rb/F6mYJLYKVNjrXd3uOWXvZ5qY2YWZHfU5Y2lYYqhNOZ88EeanBsGjfpZKVvQQkOoaHVrm5kbAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:25.115722Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.4124","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a6f387b96e34f928511b548e69642aec1b97f8e7aa309e9cb8183ec3292946f","sha256:10647585ae83dea7738fe58897642ebb4592a9549c606276bb10bdb5527674e9"],"state_sha256":"1cd4b27c654690089b9e9db5b8b0b3a38fdfa22b794118be82442cf337b62167"}