{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LHAJLGNXQTMH7QL6HDBGSCGCHD","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":"1708cdb876bbfdc08b72934406aeaebf98fb953919c3a38fbae04b6d6d9379ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-05-17T12:56:16Z","title_canon_sha256":"b2634596933809a55e766b4ff3eab6c3ab6c31df06dd374726d63b893e4eb66f"},"schema_version":"1.0","source":{"id":"1605.05143","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.05143","created_at":"2026-05-17T23:48:02Z"},{"alias_kind":"arxiv_version","alias_value":"1605.05143v4","created_at":"2026-05-17T23:48:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.05143","created_at":"2026-05-17T23:48:02Z"},{"alias_kind":"pith_short_12","alias_value":"LHAJLGNXQTMH","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LHAJLGNXQTMH7QL6","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LHAJLGNX","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:99ebd5fc48c5842130dd5cecf251c36542f09eda7e52c087af66144f00d5eae4","target":"graph","created_at":"2026-05-17T23:48:02Z","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 consider the moduli space $\\mathcal{M}(G)$ of $G$-Higgs bundles over a compact Riemann surface $X$, where $G$ is a complex semisimple Lie group. This is a hyperk\\\"ahler manifold homeomorphic to the moduli space $\\mathcal{R}(G)$ of representations of the fundamental group of $X$ in $G$. In this paper we study finite order automorphisms of $\\mathcal{M}(G)$ obtained by combining the action of an element of order $n$ in $H^1(X,Z)\\rtimes \\mbox{Out}(G)$, where $Z$ is the centre of $G$ and $\\mbox{Out}(G)$ is the group of outer automorphisms of $G$, with the multiplication of the Higgs field by an ","authors_text":"Oscar Garcia-Prada, S. Ramanan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-05-17T12:56:16Z","title":"Involutions and higher order automorphisms of Higgs bundle moduli spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.05143","kind":"arxiv","version":4},"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":"sha256:58e132279fdfece0984be2379bfdf6f03b668bd1d116272fbf0a98e72268102d","target":"record","created_at":"2026-05-17T23:48:02Z","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":"1708cdb876bbfdc08b72934406aeaebf98fb953919c3a38fbae04b6d6d9379ba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-05-17T12:56:16Z","title_canon_sha256":"b2634596933809a55e766b4ff3eab6c3ab6c31df06dd374726d63b893e4eb66f"},"schema_version":"1.0","source":{"id":"1605.05143","kind":"arxiv","version":4}},"canonical_sha256":"59c09599b784d87fc17e38c26908c238c053b22805784920c879b4dafa2467ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59c09599b784d87fc17e38c26908c238c053b22805784920c879b4dafa2467ec","first_computed_at":"2026-05-17T23:48:02.531717Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:02.531717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GliOSq9r6JUivg4ootLXF53n4muIqymQpxUQ+3Py9HZT0HIHIE68zzKyagEGxoGrLXXuG6aOp+hNA7j/TA0zBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:02.532614Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.05143","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58e132279fdfece0984be2379bfdf6f03b668bd1d116272fbf0a98e72268102d","sha256:99ebd5fc48c5842130dd5cecf251c36542f09eda7e52c087af66144f00d5eae4"],"state_sha256":"2e344327e06cdfc193cdf5e2f2bd111ee0d5ee849622d9843acf1b62ab504fc7"}