{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:LQZ7YX4UHMUXZOBM4BJP5QMC5P","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":"ee3a0a0c04469ee9b02bc2e05552cd6a775d10561310414f1c509e6024a881e5","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-05-16T14:48:15Z","title_canon_sha256":"7ad0047c2aef99828fd7a0e5b4c622d22487463e9a9edbe82f1002be6cf312a6"},"schema_version":"1.0","source":{"id":"1705.05739","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.05739","created_at":"2026-05-18T00:02:19Z"},{"alias_kind":"arxiv_version","alias_value":"1705.05739v2","created_at":"2026-05-18T00:02:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.05739","created_at":"2026-05-18T00:02:19Z"},{"alias_kind":"pith_short_12","alias_value":"LQZ7YX4UHMUX","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LQZ7YX4UHMUXZOBM","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LQZ7YX4U","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:e29775f0aa16246c8fbe238cc9d6b1876bbd31104bde1595c74c401818318107","target":"graph","created_at":"2026-05-18T00:02:19Z","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":"A problem of Glasner, now known as Glasner's problem, asks whether every minimally almost periodic, monothetic, Polish groups is extremely amenable. The purpose of this short note is to observe that a positive answer is obtained under the additional assumption that the universal minimal flow is metrizable.","authors_text":"Lionel Nguyen Van Th\\'e","cross_cats":["math.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-05-16T14:48:15Z","title":"Glasner's problem for Polish groups with metrizable universal minimal flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.05739","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":"sha256:594aae0c15f82f38a12f0310358f516889ce56bc2482c86a423808efd86aaa13","target":"record","created_at":"2026-05-18T00:02:19Z","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":"ee3a0a0c04469ee9b02bc2e05552cd6a775d10561310414f1c509e6024a881e5","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-05-16T14:48:15Z","title_canon_sha256":"7ad0047c2aef99828fd7a0e5b4c622d22487463e9a9edbe82f1002be6cf312a6"},"schema_version":"1.0","source":{"id":"1705.05739","kind":"arxiv","version":2}},"canonical_sha256":"5c33fc5f943b297cb82ce052fec182ebef550834ae4766923fb1795f85af803c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c33fc5f943b297cb82ce052fec182ebef550834ae4766923fb1795f85af803c","first_computed_at":"2026-05-18T00:02:19.540140Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:19.540140Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SWyJq1YtxHcgEjJhIeW3HFdCu+ft9IANCO18URl2xvMsvt0yfnl3rn4k2q8WyWTFUKNdWvFZeRK8F1msFST9Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:19.540485Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.05739","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:594aae0c15f82f38a12f0310358f516889ce56bc2482c86a423808efd86aaa13","sha256:e29775f0aa16246c8fbe238cc9d6b1876bbd31104bde1595c74c401818318107"],"state_sha256":"33d011ab324b8e54b80e0ef8eb752872c013b6a9b1ad3e8993aaeef77b6ee1bc"}