{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:4RK4ZSPWNUKOTLQFJPHODQZ3QU","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":"8e0a50a27cc822f0b9834a166c98eb70472c1b2a4a1901adb0673355a25b9755","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2020-11-08T16:44:28Z","title_canon_sha256":"ab6b551ff1af3aca0dc4d39cae4bdf2cb2b07d5dd093a31bbdba3127e2ab2c30"},"schema_version":"1.0","source":{"id":"2011.04017","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2011.04017","created_at":"2026-06-11T01:09:05Z"},{"alias_kind":"arxiv_version","alias_value":"2011.04017v2","created_at":"2026-06-11T01:09:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.04017","created_at":"2026-06-11T01:09:05Z"},{"alias_kind":"pith_short_12","alias_value":"4RK4ZSPWNUKO","created_at":"2026-06-11T01:09:05Z"},{"alias_kind":"pith_short_16","alias_value":"4RK4ZSPWNUKOTLQF","created_at":"2026-06-11T01:09:05Z"},{"alias_kind":"pith_short_8","alias_value":"4RK4ZSPW","created_at":"2026-06-11T01:09:05Z"}],"graph_snapshots":[{"event_id":"sha256:442c56cb1344b86c87d1d194c3e92e0fb46267283a7c3a32b771d70123bafcce","target":"graph","created_at":"2026-06-11T01:09:05Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2011.04017/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let ${\\cal M}(X,G)$ be the moduli space of $G$-Higgs bundles over a compact Riemann surface $X$, where $G$ is a semisimple complex Lie group with centre $Z$. We describe the fixed points of the action of a finite group $\\Gamma$ on ${\\cal M}(X,G)$, induced by holomorphic actions of $\\Gamma$ on $X$ and $G$, a character of $\\Gamma$ and a homomorphism from $\\Gamma$ to the group of $Z$-bundles over $X$. Two important ingredients in this study are provided by the theory of twisted $\\Gamma$-equivariant bundles developed by Barajas--Garc\\'ia-Prada--Gothen--Mundet i Riera, and the Prym--Narasimhan--Ram","authors_text":"Guillermo Barajas, Oscar Garc\\'ia-Prada, Suratno Basu","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2020-11-08T16:44:28Z","title":"Finite group actions on Higgs bundle moduli spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.04017","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:c225b51ac78de0fb5df94b6a02c199a61ff2fa75531a5e8544954ea88e7e73ba","target":"record","created_at":"2026-06-11T01:09:05Z","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":"8e0a50a27cc822f0b9834a166c98eb70472c1b2a4a1901adb0673355a25b9755","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2020-11-08T16:44:28Z","title_canon_sha256":"ab6b551ff1af3aca0dc4d39cae4bdf2cb2b07d5dd093a31bbdba3127e2ab2c30"},"schema_version":"1.0","source":{"id":"2011.04017","kind":"arxiv","version":2}},"canonical_sha256":"e455ccc9f66d14e9ae054bcee1c33b8539552d0ddccdca641906325521c81712","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e455ccc9f66d14e9ae054bcee1c33b8539552d0ddccdca641906325521c81712","first_computed_at":"2026-06-11T01:09:05.998254Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-11T01:09:05.998254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GQxujwDblfgoScVBOoXfrcGaMdaAVVtaoj2Ri9A+sMs+tqm4tMvRaR080K1zbMT4ehl+qH7Zh6IS+odsPVb0Dw==","signature_status":"signed_v1","signed_at":"2026-06-11T01:09:05.999247Z","signed_message":"canonical_sha256_bytes"},"source_id":"2011.04017","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c225b51ac78de0fb5df94b6a02c199a61ff2fa75531a5e8544954ea88e7e73ba","sha256:442c56cb1344b86c87d1d194c3e92e0fb46267283a7c3a32b771d70123bafcce"],"state_sha256":"ebc2626a523522651178e6186f62493ddf007f5b30217c406abf877248ee34bb"}