{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:36HYEBHHBDZ533CS36XQJW6JX2","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":"43b739377360182e1d65421bf3148c1de2a7124db58a536f85e4567f3d5cd70a","cross_cats_sorted":["math.GR","math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-08-23T17:51:51Z","title_canon_sha256":"9e2ed3af2f582b655556d159daef5b23725f128187a01444bacb20ab5a4eb9a2"},"schema_version":"1.0","source":{"id":"1208.4815","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.4815","created_at":"2026-05-17T23:53:18Z"},{"alias_kind":"arxiv_version","alias_value":"1208.4815v4","created_at":"2026-05-17T23:53:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4815","created_at":"2026-05-17T23:53:18Z"},{"alias_kind":"pith_short_12","alias_value":"36HYEBHHBDZ5","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"36HYEBHHBDZ533CS","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"36HYEBHH","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:bc06fb1a07ed7c6e7607cb965d0806dec833c40f24616f0c15f2ec8e0fc9bf82","target":"graph","created_at":"2026-05-17T23:53:18Z","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 prove that the space of actions of Z^d by C^1 (orientation-preserving) diffeomorphisms of either the interval or the circle is connected by arcs. This is proved by showing that all such actions can be C^0 conjugated via a 1-parameter family into diffeomorphisms that converge to either the trivial action or an action by Euclidean rotations. Extensions for nilpotent group actions are provided.","authors_text":"Andr\\'es Navas","cross_cats":["math.GR","math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-08-23T17:51:51Z","title":"Sur les rapprochements par conjugaison en dimension 1 et classe C^1"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4815","kind":"arxiv","version":4},"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:abe6bfb79338f882e32435e6380397d3a1a6c27a0ff01e404b593deed5a77d62","target":"record","created_at":"2026-05-17T23:53:18Z","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":"43b739377360182e1d65421bf3148c1de2a7124db58a536f85e4567f3d5cd70a","cross_cats_sorted":["math.GR","math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-08-23T17:51:51Z","title_canon_sha256":"9e2ed3af2f582b655556d159daef5b23725f128187a01444bacb20ab5a4eb9a2"},"schema_version":"1.0","source":{"id":"1208.4815","kind":"arxiv","version":4}},"canonical_sha256":"df8f8204e708f3ddec52dfaf04dbc9be8f4dc2f450b5f9b4b746b5f45b63ae93","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"df8f8204e708f3ddec52dfaf04dbc9be8f4dc2f450b5f9b4b746b5f45b63ae93","first_computed_at":"2026-05-17T23:53:18.521255Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:18.521255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DlWbwtyVbiFXQmgQkRVeFtW4SbKwsaYyUtyVe/BMSSyI/Lp+LjXvNNfSzJhUsi7u3/ZzZbGBh3ac8950rKxXAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:18.521926Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.4815","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:abe6bfb79338f882e32435e6380397d3a1a6c27a0ff01e404b593deed5a77d62","sha256:bc06fb1a07ed7c6e7607cb965d0806dec833c40f24616f0c15f2ec8e0fc9bf82"],"state_sha256":"2c1f77886157f7d1fdf86dbee24adb5892879d9b2a1bdec1d3d4b262890dfbed"}