{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5WKEFAO6MLPIUMMKBPOJAOIC3G","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":"64c83ba4f0b6bb79f3fa1382bc38d39db153003e0aaca2b4bb58d995645bc4e8","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-02-23T05:25:35Z","title_canon_sha256":"7130357069216c8ef1ca77512fbecdd18c5debf22bdeaebede50e6247a70675f"},"schema_version":"1.0","source":{"id":"1702.07101","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.07101","created_at":"2026-05-18T00:14:29Z"},{"alias_kind":"arxiv_version","alias_value":"1702.07101v2","created_at":"2026-05-18T00:14:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07101","created_at":"2026-05-18T00:14:29Z"},{"alias_kind":"pith_short_12","alias_value":"5WKEFAO6MLPI","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"5WKEFAO6MLPIUMMK","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"5WKEFAO6","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:48fe9b1a0d00cf39fe90ff9b7f96c7b6aa822b1228a3eabdc49532da998e0ab0","target":"graph","created_at":"2026-05-18T00:14:29Z","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 show that every uniformly recurrent subgroup of a locally compact group is the family of stabilizers of a minimal action on a compact space. More generally, every closed invariant subset of the Chabauty space is the family of stabilizers of an action on a compact space on which the stabilizer map is continuous everywhere. This answers a question of Glasner and Weiss. We also introduce the notion of a universal minimal flow relative to a uniformly recurrent subgroup and prove its existence and uniqueness.","authors_text":"Nicol\\'as Matte Bon, Todor Tsankov","cross_cats":["math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-02-23T05:25:35Z","title":"Realizing uniformly recurrent subgroups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07101","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":"sha256:602536bf30e1b23f96d225d6cc81cc0f3224416a2d1b8d56a1f4d6e45a614289","target":"record","created_at":"2026-05-18T00:14:29Z","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":"64c83ba4f0b6bb79f3fa1382bc38d39db153003e0aaca2b4bb58d995645bc4e8","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-02-23T05:25:35Z","title_canon_sha256":"7130357069216c8ef1ca77512fbecdd18c5debf22bdeaebede50e6247a70675f"},"schema_version":"1.0","source":{"id":"1702.07101","kind":"arxiv","version":2}},"canonical_sha256":"ed944281de62de8a318a0bdc903902d983ada7ce4c7ab1a00087ab8126d29617","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed944281de62de8a318a0bdc903902d983ada7ce4c7ab1a00087ab8126d29617","first_computed_at":"2026-05-18T00:14:29.145452Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:29.145452Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PS6TkNnKOxTBu3D/XvnT2PP9l7VDClKwBQWLr25ge3AGRZ5LbzLrfMOzJwUMwPDgJ3TM31J5+eHU2egCcL9QDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:29.146105Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.07101","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:602536bf30e1b23f96d225d6cc81cc0f3224416a2d1b8d56a1f4d6e45a614289","sha256:48fe9b1a0d00cf39fe90ff9b7f96c7b6aa822b1228a3eabdc49532da998e0ab0"],"state_sha256":"6e97ac4aef72bde6e8f2c586c5e84091948bfdec334dc6f971db96152d880b65"}