{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:Z6IQ4WGECCI73TA7QM7BCJ7VKZ","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":"52e7428e68142b671213afdeaea05a3796e58c2c7c52b4c79dbcf3248470a34f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-01-27T09:22:02Z","title_canon_sha256":"97a77ec4c5ca15edf253692e754de50cc1554de5e492c2d54c28ecd962415544"},"schema_version":"1.0","source":{"id":"1701.07980","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.07980","created_at":"2026-05-18T00:20:32Z"},{"alias_kind":"arxiv_version","alias_value":"1701.07980v1","created_at":"2026-05-18T00:20:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.07980","created_at":"2026-05-18T00:20:32Z"},{"alias_kind":"pith_short_12","alias_value":"Z6IQ4WGECCI7","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"Z6IQ4WGECCI73TA7","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"Z6IQ4WGE","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:3d6f8a01f1c7c2c796b404195b4fa1f544b2439d82fdbbbfdb75718622b48555","target":"graph","created_at":"2026-05-18T00:20:32Z","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":"For any topological groupoid G and any homomorphism from a locally compact Hausdorff topological group K to G, we construct an associated monodromy group. We prove that Morita equivalent topological groupoids have the same monodromy groups. We show how the monodromy groups can be used to test if a Lie groupoid lacks faithful representations.","authors_text":"Janez Mrcun","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-01-27T09:22:02Z","title":"Monodromy and faithful representability of Lie groupoids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.07980","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":"sha256:1abf862b8b11c0d93f1f371150680283600fc960ba17b4dbcdbd273043ef07b8","target":"record","created_at":"2026-05-18T00:20:32Z","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":"52e7428e68142b671213afdeaea05a3796e58c2c7c52b4c79dbcf3248470a34f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-01-27T09:22:02Z","title_canon_sha256":"97a77ec4c5ca15edf253692e754de50cc1554de5e492c2d54c28ecd962415544"},"schema_version":"1.0","source":{"id":"1701.07980","kind":"arxiv","version":1}},"canonical_sha256":"cf910e58c41091fdcc1f833e1127f5565df5184be5a2c96a9ec140f1704858d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf910e58c41091fdcc1f833e1127f5565df5184be5a2c96a9ec140f1704858d7","first_computed_at":"2026-05-18T00:20:32.390326Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:32.390326Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R/pZDyQ2cLDwJNqZEXGFqpl1OSUzUxFkuKmMHQwMa1Z9hA3oTgPHsQabWSytt1ntR+/O9FPRlE3OoQdZAhqDCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:32.390922Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.07980","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1abf862b8b11c0d93f1f371150680283600fc960ba17b4dbcdbd273043ef07b8","sha256:3d6f8a01f1c7c2c796b404195b4fa1f544b2439d82fdbbbfdb75718622b48555"],"state_sha256":"441dead1f2d19c50f5681eaa94896ea67f9b5d564fdcd574ddb7e30c81046635"}