{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:DM5R7NMH53NJQW6N7QEBEG5G5E","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":"070fa0f48fee901881afc36010b1499f61849201c6f18a96183b8db74c4567ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2019-05-18T15:26:16Z","title_canon_sha256":"7d0fad5a353a049e072e43dc665cce06fa2fe8856136da8fb783719cea1f941c"},"schema_version":"1.0","source":{"id":"1905.07605","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.07605","created_at":"2026-05-17T23:45:49Z"},{"alias_kind":"arxiv_version","alias_value":"1905.07605v1","created_at":"2026-05-17T23:45:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.07605","created_at":"2026-05-17T23:45:49Z"},{"alias_kind":"pith_short_12","alias_value":"DM5R7NMH53NJ","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"DM5R7NMH53NJQW6N","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"DM5R7NMH","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:c4b135e849dd62f903ebf59d198dade983da50ce40b06ee468a14f8513026ace","target":"graph","created_at":"2026-05-17T23:45:49Z","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 Neretin groups have no non-trivial invariant random subgroups. These groups provide first examples of non-discrete, compactly generated, locally compact groups with this property.","authors_text":"Tianyi Zheng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2019-05-18T15:26:16Z","title":"Neretin groups admit no non-trivial invariant random subgroups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.07605","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":"sha256:4493660f7f893a8bbe4e96cd7e1276af5f2aa09e4521f467755032af2badafdc","target":"record","created_at":"2026-05-17T23:45:49Z","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":"070fa0f48fee901881afc36010b1499f61849201c6f18a96183b8db74c4567ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2019-05-18T15:26:16Z","title_canon_sha256":"7d0fad5a353a049e072e43dc665cce06fa2fe8856136da8fb783719cea1f941c"},"schema_version":"1.0","source":{"id":"1905.07605","kind":"arxiv","version":1}},"canonical_sha256":"1b3b1fb587eeda985bcdfc08121ba6e938165121a7529d81c39f9d7416004c83","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b3b1fb587eeda985bcdfc08121ba6e938165121a7529d81c39f9d7416004c83","first_computed_at":"2026-05-17T23:45:49.128782Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:49.128782Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qyg6K48IUMj48btG9BYX8mI8QM5+6ONoqC1//Y9RbSYd7mX161PNrcwYR1b4UzzgVLWMX9YoZQC1XNlTz617DQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:49.129469Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.07605","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4493660f7f893a8bbe4e96cd7e1276af5f2aa09e4521f467755032af2badafdc","sha256:c4b135e849dd62f903ebf59d198dade983da50ce40b06ee468a14f8513026ace"],"state_sha256":"8de1de7f5f9e18e1f8db7a8cc9f9a8920635ba26bf6936e1d6fbd3dccd453337"}