{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:IOLKTJ44CNHY2F2DKG4HMBT4OS","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":"ce63ebf7569f7781e126fee7b055d79783c8fd1764bdf4540ffe046aa1cb373d","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-03-19T16:19:51Z","title_canon_sha256":"65c47f818e1cffe7773c46e1f78892bb80de6a5d9847c68cd35d63dc25a6908d"},"schema_version":"1.0","source":{"id":"1203.4151","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.4151","created_at":"2026-05-18T03:59:39Z"},{"alias_kind":"arxiv_version","alias_value":"1203.4151v2","created_at":"2026-05-18T03:59:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.4151","created_at":"2026-05-18T03:59:39Z"},{"alias_kind":"pith_short_12","alias_value":"IOLKTJ44CNHY","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IOLKTJ44CNHY2F2D","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IOLKTJ44","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:db18b1b3148b42a80e30707637606b1c1a42d1fb16eb976465ffcd1001180115","target":"graph","created_at":"2026-05-18T03:59:39Z","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 simple examples of finite-dimensional connected homogeneous spaces (they are actually topological manifolds) with nonhomogeneous and nonrigid factors. In particular, we give an elementary solution of an old problem in general topology concerning homogeneous spaces.","authors_text":"A. Quintero, D. Repov\\v{s}, F. F. Lasheras, M. C\\'ardenas","cross_cats":["math.GN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-03-19T16:19:51Z","title":"On manifolds with nonhomogeneous factors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.4151","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":"sha256:212895def06a8ad2becfd902aac8d907dd8fef1aa163218fa2d7d2eb98aa2f5c","target":"record","created_at":"2026-05-18T03:59:39Z","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":"ce63ebf7569f7781e126fee7b055d79783c8fd1764bdf4540ffe046aa1cb373d","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-03-19T16:19:51Z","title_canon_sha256":"65c47f818e1cffe7773c46e1f78892bb80de6a5d9847c68cd35d63dc25a6908d"},"schema_version":"1.0","source":{"id":"1203.4151","kind":"arxiv","version":2}},"canonical_sha256":"4396a9a79c134f8d174351b876067c74a5afb49af0a40903cbfacca9c02f67f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4396a9a79c134f8d174351b876067c74a5afb49af0a40903cbfacca9c02f67f7","first_computed_at":"2026-05-18T03:59:39.578334Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:59:39.578334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9ajPxCf8kGQHQi66gPrw1IX5a6hWCgq8tOpZ0MOdNF1OTajqdngwxIAO0Wemarh9O2SSd0q3SHN9f3GaiAcoDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:59:39.578902Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.4151","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:212895def06a8ad2becfd902aac8d907dd8fef1aa163218fa2d7d2eb98aa2f5c","sha256:db18b1b3148b42a80e30707637606b1c1a42d1fb16eb976465ffcd1001180115"],"state_sha256":"c99abf43e7ba9ae91bf6da0b8fcc5da4ba031981fc1b6b20ef07b4636c48584a"}