{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:EVCV57TK7HPXZ5JYU6Z3E4QDUM","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":"29a0892ea450a21a13b5120a990f77210737911dd4bf6a6d0370bb46cb0b83ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-02-16T13:05:22Z","title_canon_sha256":"7a4ff86b0e099656a951f7c9ef7172898a132575002a5b906d4688af6c95af1a"},"schema_version":"1.0","source":{"id":"1202.3581","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.3581","created_at":"2026-05-18T01:27:55Z"},{"alias_kind":"arxiv_version","alias_value":"1202.3581v2","created_at":"2026-05-18T01:27:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.3581","created_at":"2026-05-18T01:27:55Z"},{"alias_kind":"pith_short_12","alias_value":"EVCV57TK7HPX","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EVCV57TK7HPXZ5JY","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EVCV57TK","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:6c60c1251e5dfa6a3e082119b9a1a8974fde61237cf424c8fe7d4f01d0c138a4","target":"graph","created_at":"2026-05-18T01:27:55Z","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 quasitoric manifold $M$ is a $2n$-dimensional manifold which admits an action of an $n$-dimensional torus which has some nice properties. We determine the isomorphism type of a maximal compact connected Lie-subgroup $G$ of $\\text{Homeo}(M)$ which contains the torus. Moreover, we show that this group is unique up to conjugation.","authors_text":"Michael Wiemeler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-02-16T13:05:22Z","title":"Non-abelian symmetries of quasitoric manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.3581","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":"sha256:44aabe0a03458f8795a81fd97ad939074e6461d793c6248cf3734138658d32aa","target":"record","created_at":"2026-05-18T01:27:55Z","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":"29a0892ea450a21a13b5120a990f77210737911dd4bf6a6d0370bb46cb0b83ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-02-16T13:05:22Z","title_canon_sha256":"7a4ff86b0e099656a951f7c9ef7172898a132575002a5b906d4688af6c95af1a"},"schema_version":"1.0","source":{"id":"1202.3581","kind":"arxiv","version":2}},"canonical_sha256":"25455efe6af9df7cf538a7b3b27203a30459f131701f987411be59c48ddaca9c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25455efe6af9df7cf538a7b3b27203a30459f131701f987411be59c48ddaca9c","first_computed_at":"2026-05-18T01:27:55.103705Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:27:55.103705Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VEIT/lWERdD/K+W9swNOqOLZxJ3eL0oTzKHzmT3ZOeuAH41UTYbRbMt/+t7wS+7dTmg9ojwHDkdruWuRpbLgCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:27:55.104403Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.3581","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:44aabe0a03458f8795a81fd97ad939074e6461d793c6248cf3734138658d32aa","sha256:6c60c1251e5dfa6a3e082119b9a1a8974fde61237cf424c8fe7d4f01d0c138a4"],"state_sha256":"3080335d7d819259f93602b4c5595b7ffddb543d5840959cdc0840899177340c"}