{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TCXJ2HEVSR2AQB2T3CTWLQOYS3","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":"de67bb6fcb8a6fbfa01fc17b1e364c26d808425c130cf6501a43b954b44aa902","cross_cats_sorted":["math.DG","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-10-30T12:38:49Z","title_canon_sha256":"c2bc6ab4bcfd937b061499c637a6cbb6c2f9c39c7e471929e3902fe55a04cf38"},"schema_version":"1.0","source":{"id":"1410.8350","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.8350","created_at":"2026-05-18T01:12:50Z"},{"alias_kind":"arxiv_version","alias_value":"1410.8350v3","created_at":"2026-05-18T01:12:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.8350","created_at":"2026-05-18T01:12:50Z"},{"alias_kind":"pith_short_12","alias_value":"TCXJ2HEVSR2A","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TCXJ2HEVSR2AQB2T","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TCXJ2HEV","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:43c318571034a64588b31f9ed17bd402108102fb5991950921bbd76e9665b251","target":"graph","created_at":"2026-05-18T01:12:50Z","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 define a notion of semi-conjugacy between orientation-preserving actions of a group on the circle, which for fixed point free actions coincides with a classical definition of Ghys. We then show that two circle actions are semi-conjugate if and only if they have the same bounded Euler class. This settles some existing confusion present in the literature.","authors_text":"Michelle Bucher, Roberto Frigerio, Tobias Hartnick","cross_cats":["math.DG","math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-10-30T12:38:49Z","title":"A note on semi-conjugacy for circle actions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.8350","kind":"arxiv","version":3},"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:ed855abc94bd66fb8a29ac76d82b570fbe9958eac42be3c623262261432ae5a4","target":"record","created_at":"2026-05-18T01:12:50Z","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":"de67bb6fcb8a6fbfa01fc17b1e364c26d808425c130cf6501a43b954b44aa902","cross_cats_sorted":["math.DG","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-10-30T12:38:49Z","title_canon_sha256":"c2bc6ab4bcfd937b061499c637a6cbb6c2f9c39c7e471929e3902fe55a04cf38"},"schema_version":"1.0","source":{"id":"1410.8350","kind":"arxiv","version":3}},"canonical_sha256":"98ae9d1c959474080753d8a765c1d896e8f1d838cc47d862aa631aef686b5646","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98ae9d1c959474080753d8a765c1d896e8f1d838cc47d862aa631aef686b5646","first_computed_at":"2026-05-18T01:12:50.057474Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:50.057474Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/s8T5bCGc1nGTNhqgI0XbZRkxyiJhLZpmp8SPzaOt34k190aPnw/UF7JKVb3PuAZGOYON4I5pYhULcqz8JSHCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:50.057837Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.8350","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed855abc94bd66fb8a29ac76d82b570fbe9958eac42be3c623262261432ae5a4","sha256:43c318571034a64588b31f9ed17bd402108102fb5991950921bbd76e9665b251"],"state_sha256":"8edb96c59449d91ccffe22b8e2e17c764840b11f0ea0fa194d5cc82030b3e5d5"}