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We prove that if in a finite group $G$ every element has an Engel sink generating a subgroup of rank~$r$, then $G$ has a normal subgroup $N$ of rank bounded in terms of $r$ such that $G/N$ is nilpotent."},"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":"1707.04187","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-07-13T15:53:51Z","cross_cats_sorted":[],"title_canon_sha256":"711c79c4cb6b83bfbd47236028245cb5e1aa25e2bdbf2a1f7cea66d61712d96f","abstract_canon_sha256":"d70fb43c8d7deaee5982e8340cc3224e2ae05a3c4aebb1873a43ef0e661deb31"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:20.277454Z","signature_b64":"Hx2ZfKwyd/+8aswPqCTSL70HgSBZK9Sl/Hwmd36eieUC+0IPvbqkBxAJXMDelTyJGdkPpFHjrwzaWTz4GtjZDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"afbcd4727ffff6e77a3b89bb09f76381d3c7e63817fce3cc653f35c62ede6abc","last_reissued_at":"2026-05-18T00:40:20.276759Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:20.276759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Finite groups with Engel sinks of bounded rank","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"E. 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