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By contrast, the group $\\mathop{\\rm Diff}_+^{1+BV}(M)$, consisting of $C^1$ diffeomorphisms whose derivative has bounded variation, admits no Polish group topology whatsoever."},"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":"1709.04523","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-09-13T20:00:45Z","cross_cats_sorted":[],"title_canon_sha256":"f9222ebf9bd436b37bf5bb5fb45cf16fa40c1f42a6e2daf04ea6a6d82e3abc3d","abstract_canon_sha256":"ec6fb771d86333a228a7a658b5a92340f8ed4bf622f58d991792fcfdfe13e049"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:50.480952Z","signature_b64":"RVJs8SuRmtO3weAtiRTvkIJ6JoApOyJ6ALYPHxbKKe90N7jsqjsl+zxbaN/G6xCUyULGpxGJXIRbhlcwfK/wDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7fcbeee9b721c7bf8830666c5837315afd337c1c19702eaf3e01491adf629bee","last_reissued_at":"2026-05-18T00:31:50.480464Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:50.480464Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Polishability of some groups of interval and circle diffeomorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Michael P. 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