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We prove that for all H\\\"older class exponents with $r > n + 2$ or $r = n+1, \\, \\frac12 < \\delta \\leq 1$ (resp. $r < n+1$ or $r = n+1$ and $ 0< \\delta <\\frac12$), the group is a perfect (and so a simple) group. In particular, $\\operatorname{Cont}_c^r(M,\\xi)$ is simple for all int"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2403.18261","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2024-03-27T05:28:05Z","cross_cats_sorted":["math.DS","math.GT"],"title_canon_sha256":"62cbf15292dd88926bd80ff783f71cc6078736a18f7bc56f908a48d0d270b05c","abstract_canon_sha256":"1bc29359a660f7eb473586af1cc013d0f0440081cce6187d7089cf48ceaf8be8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:18:06.662205Z","signature_b64":"xxloTN/QS8x7GTa8p6rNIvAAErPZzUwEWJd28m/dLsKOvyqnXa/QSkwSTRQuwvpzNg8eOmbck3NqkUsrHs+nBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84bf7ae0d15edba7fb04eb68aa4ec803aab565cf6770f0b44f697063032f4be4","last_reissued_at":"2026-07-05T08:18:06.661762Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:18:06.661762Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Simplicity of the contactomorphism group of finite regularity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.GT"],"primary_cat":"math.SG","authors_text":"Yong-Geun Oh","submitted_at":"2024-03-27T05:28:05Z","abstract_excerpt":"For a given coorientable contact manifold $(M^{2n+1},\\xi)$, we consider the group $ \\operatorname{Cont}_c^{(r,\\delta)}(M,\\alpha)$ consisting of $C^{r,\\delta}$ contactomorphisms with compact support which is equipped with $C^{r,\\delta}$-topology of H\\\"older regularity $(r,\\delta)$ for $r \\geq 1$ and $0 <\\delta \\leq 1$. We prove that for all H\\\"older class exponents with $r > n + 2$ or $r = n+1, \\, \\frac12 < \\delta \\leq 1$ (resp. $r < n+1$ or $r = n+1$ and $ 0< \\delta <\\frac12$), the group is a perfect (and so a simple) group. In particular, $\\operatorname{Cont}_c^r(M,\\xi)$ is simple for all int"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.18261","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2403.18261/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2403.18261","created_at":"2026-07-05T08:18:06.661816+00:00"},{"alias_kind":"arxiv_version","alias_value":"2403.18261v2","created_at":"2026-07-05T08:18:06.661816+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.18261","created_at":"2026-07-05T08:18:06.661816+00:00"},{"alias_kind":"pith_short_12","alias_value":"QS7XVYGRL3N2","created_at":"2026-07-05T08:18:06.661816+00:00"},{"alias_kind":"pith_short_16","alias_value":"QS7XVYGRL3N2P6YE","created_at":"2026-07-05T08:18:06.661816+00:00"},{"alias_kind":"pith_short_8","alias_value":"QS7XVYGR","created_at":"2026-07-05T08:18:06.661816+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2504.16458","citing_title":"Strict contactomorphisms are scarce","ref_index":14,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QS7XVYGRL3N2P6YE5NUKUTWIAO","json":"https://pith.science/pith/QS7XVYGRL3N2P6YE5NUKUTWIAO.json","graph_json":"https://pith.science/api/pith-number/QS7XVYGRL3N2P6YE5NUKUTWIAO/graph.json","events_json":"https://pith.science/api/pith-number/QS7XVYGRL3N2P6YE5NUKUTWIAO/events.json","paper":"https://pith.science/paper/QS7XVYGR"},"agent_actions":{"view_html":"https://pith.science/pith/QS7XVYGRL3N2P6YE5NUKUTWIAO","download_json":"https://pith.science/pith/QS7XVYGRL3N2P6YE5NUKUTWIAO.json","view_paper":"https://pith.science/paper/QS7XVYGR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2403.18261&json=true","fetch_graph":"https://pith.science/api/pith-number/QS7XVYGRL3N2P6YE5NUKUTWIAO/graph.json","fetch_events":"https://pith.science/api/pith-number/QS7XVYGRL3N2P6YE5NUKUTWIAO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QS7XVYGRL3N2P6YE5NUKUTWIAO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QS7XVYGRL3N2P6YE5NUKUTWIAO/action/storage_attestation","attest_author":"https://pith.science/pith/QS7XVYGRL3N2P6YE5NUKUTWIAO/action/author_attestation","sign_citation":"https://pith.science/pith/QS7XVYGRL3N2P6YE5NUKUTWIAO/action/citation_signature","submit_replication":"https://pith.science/pith/QS7XVYGRL3N2P6YE5NUKUTWIAO/action/replication_record"}},"created_at":"2026-07-05T08:18:06.661816+00:00","updated_at":"2026-07-05T08:18:06.661816+00:00"}