{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5B75I6Z4K4ZY3S5FHYLBJJWBEX","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":"ce389acfb9ab5463c68b333a1f48551cf5bf29c60bd5c53bbbddfd0f563db707","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-07-22T14:06:12Z","title_canon_sha256":"a8b22159dad9a6f8be547c53c8266ee513421ec0d3d626365639bce0dfcf6dec"},"schema_version":"1.0","source":{"id":"1307.5718","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.5718","created_at":"2026-05-18T01:05:46Z"},{"alias_kind":"arxiv_version","alias_value":"1307.5718v3","created_at":"2026-05-18T01:05:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.5718","created_at":"2026-05-18T01:05:46Z"},{"alias_kind":"pith_short_12","alias_value":"5B75I6Z4K4ZY","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5B75I6Z4K4ZY3S5F","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5B75I6Z4","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:c68a7022331968b239c370deb04bc393aace15006e4cc36e697b087786b0245e","target":"graph","created_at":"2026-05-18T01:05:46Z","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":"Given a quasi-projective variety X with only Kawamata log terminal singularities, we study the obstructions to extending finite \\'etale covers from the smooth locus $X_{\\mathrm{reg}}$ of $X$ to $X$ itself. A simplified version of our main results states that there exists a Galois cover $Y \\rightarrow X$, ramified only over the singularities of $X$, such that the \\'etale fundamental groups of $Y$ and of $Y_{\\mathrm{reg}}$ agree. In particular, every \\'etale cover of $Y_{\\mathrm{reg}}$ extends to an \\'etale cover of $Y$.\n  As first major application, we show that every flat holomorphic bundle de","authors_text":"Daniel Greb, Stefan Kebekus, Thomas Peternell","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-07-22T14:06:12Z","title":"\\'Etale fundamental groups of Kawamata log terminal spaces, flat sheaves, and quotients of Abelian varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.5718","kind":"arxiv","version":3},"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":"sha256:1bd6a54c2be280f269a8eb7da0f17256909513e77ba0558dee5e57e96f5bcd01","target":"record","created_at":"2026-05-18T01:05:46Z","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":"ce389acfb9ab5463c68b333a1f48551cf5bf29c60bd5c53bbbddfd0f563db707","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-07-22T14:06:12Z","title_canon_sha256":"a8b22159dad9a6f8be547c53c8266ee513421ec0d3d626365639bce0dfcf6dec"},"schema_version":"1.0","source":{"id":"1307.5718","kind":"arxiv","version":3}},"canonical_sha256":"e87fd47b3c57338dcba53e1614a6c125ce135b62b3862c237551f9ed627d990b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e87fd47b3c57338dcba53e1614a6c125ce135b62b3862c237551f9ed627d990b","first_computed_at":"2026-05-18T01:05:46.693178Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:46.693178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BvDwYIlgeZYnfer+TMvgJ9TjYzaItWRHl8jzFl4ilmzKCZrwlJ+wmBLTKLbMcqPlrcD4T+hcWbSTrURZmTgfAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:46.693699Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.5718","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1bd6a54c2be280f269a8eb7da0f17256909513e77ba0558dee5e57e96f5bcd01","sha256:c68a7022331968b239c370deb04bc393aace15006e4cc36e697b087786b0245e"],"state_sha256":"5c952605fdc0ed3bb5d5d98d941b204245490fd239e76a061111ca32a8a05fa4"}