{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SO3BUI5FZ4U6TBON227HXWKFL4","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":"382128254bcd83a27d559883c08bec8591f87cad912bd6c213f85a7e3c179874","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-08-01T13:38:39Z","title_canon_sha256":"b70a2065ab93cc167cdcbca2662332dbb85954582d911ad9125c7a87da6f11c0"},"schema_version":"1.0","source":{"id":"1608.00423","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.00423","created_at":"2026-05-18T00:42:35Z"},{"alias_kind":"arxiv_version","alias_value":"1608.00423v1","created_at":"2026-05-18T00:42:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.00423","created_at":"2026-05-18T00:42:35Z"},{"alias_kind":"pith_short_12","alias_value":"SO3BUI5FZ4U6","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SO3BUI5FZ4U6TBON","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SO3BUI5F","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:d050892ce596d6cabee98b29cb742b23a84de597bbf0a225a1cf8bd512be5b89","target":"graph","created_at":"2026-05-18T00:42:35Z","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 a survey on the moduli spaces of rank 2 quadric bundles over a compact Riemann surface X. These are objects which generalise orthogonal bundles and which naturally occur through the study of the connected components of the moduli spaces of Higgs bundles over X for the real symplectic group Sp(4,R), with non-maximal Toledo invariant. Hence they are also related with the moduli space of representations of $\\pi_1(X)$ in Sp(4,R). We explain this motivation in some detail.","authors_text":"Andr\\'e Oliveira","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-08-01T13:38:39Z","title":"Quadric bundles applied to non-maximal Higgs bundles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.00423","kind":"arxiv","version":1},"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:c767fda4152b15ca6c21b4f170fc46fa9d696eb143076ad4a69a0de2308cb4aa","target":"record","created_at":"2026-05-18T00:42:35Z","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":"382128254bcd83a27d559883c08bec8591f87cad912bd6c213f85a7e3c179874","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-08-01T13:38:39Z","title_canon_sha256":"b70a2065ab93cc167cdcbca2662332dbb85954582d911ad9125c7a87da6f11c0"},"schema_version":"1.0","source":{"id":"1608.00423","kind":"arxiv","version":1}},"canonical_sha256":"93b61a23a5cf29e985cdd6be7bd9455f35b48e5e199405c91741314edcd1cef2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93b61a23a5cf29e985cdd6be7bd9455f35b48e5e199405c91741314edcd1cef2","first_computed_at":"2026-05-18T00:42:35.170005Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:35.170005Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rDe0rgT9QYREjjKTTXSsi6NfVxtBkC4ofK/NgYEMlF12E0d1JwAUcRW9jDPabRGsbMEEEfNNJAVwBvEVIh/qDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:35.170673Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.00423","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c767fda4152b15ca6c21b4f170fc46fa9d696eb143076ad4a69a0de2308cb4aa","sha256:d050892ce596d6cabee98b29cb742b23a84de597bbf0a225a1cf8bd512be5b89"],"state_sha256":"fe98421e591131347dea8f15c6f43c3fa5ca927b6c3bf235fb2975e4266cf66f"}