{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:4GOZ35J6QEYMJU5FEKNCWVO5SC","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":"414d8c175bbd6d090164c14fbb98a58c5c4d5e010c4d6c71b0a691c911d93188","cross_cats_sorted":["math.AT","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-05-09T22:26:21Z","title_canon_sha256":"7efa1046097375d7bbec29f6d2d34b7b9ee704827b23ebe3ff903ee7694c84dd"},"schema_version":"1.0","source":{"id":"1505.02323","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.02323","created_at":"2026-05-18T01:27:31Z"},{"alias_kind":"arxiv_version","alias_value":"1505.02323v1","created_at":"2026-05-18T01:27:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.02323","created_at":"2026-05-18T01:27:31Z"},{"alias_kind":"pith_short_12","alias_value":"4GOZ35J6QEYM","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4GOZ35J6QEYMJU5F","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4GOZ35J6","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:656c2e98910120f023018e78c5b48dc9d81b66336fe63c469e2ef9f98ca1be57","target":"graph","created_at":"2026-05-18T01:27:31Z","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":"Let X=G/H be the quotient of a connected reductive algebraic C-group G defined over the field of complex numbers C by a finite subgroup H. We describe the topological fundamental group of the homogeneous space X, which is nonabelian when H is nonabelian. Further, we construct an example of a homogeneous space X and an automorphism s of C such that the topological fundamental groups of X and of the conjugate variety sX are not isomorphic.","authors_text":"Mikhail Borovoi, Yves Cornulier","cross_cats":["math.AT","math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-05-09T22:26:21Z","title":"Conjugate complex homogeneous spaces with non-isomorphic fundamental groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.02323","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:f9927115863228ad7bd01aae814d01c178d1e06b3a8d5bb1c7310772ba29b694","target":"record","created_at":"2026-05-18T01:27:31Z","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":"414d8c175bbd6d090164c14fbb98a58c5c4d5e010c4d6c71b0a691c911d93188","cross_cats_sorted":["math.AT","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-05-09T22:26:21Z","title_canon_sha256":"7efa1046097375d7bbec29f6d2d34b7b9ee704827b23ebe3ff903ee7694c84dd"},"schema_version":"1.0","source":{"id":"1505.02323","kind":"arxiv","version":1}},"canonical_sha256":"e19d9df53e8130c4d3a5229a2b55dd90b12c0cbccad0b6bf90403ca08a27b4b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e19d9df53e8130c4d3a5229a2b55dd90b12c0cbccad0b6bf90403ca08a27b4b0","first_computed_at":"2026-05-18T01:27:31.705494Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:27:31.705494Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RG/UE0rl0YfhBU6y/48ohQxogSM+sTo9s35coOis95l6QRq3jPDuS1g6grSEBvp71LY495NJQCvKJjqpM4tuAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:27:31.705953Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.02323","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9927115863228ad7bd01aae814d01c178d1e06b3a8d5bb1c7310772ba29b694","sha256:656c2e98910120f023018e78c5b48dc9d81b66336fe63c469e2ef9f98ca1be57"],"state_sha256":"e968e8b010e30573bb2111cc80fb8f02316ac0d6ea26a3d6d0bf4b8f09bf135e"}