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We classify the $\\Gamma$-homotopy ribbon slice discs for $K$ up to topological ambient isotopy rel. boundary. In the infinite cyclic case, there is a unique equivalence class of such slice discs. When $\\Gamma$ is the Baumslag-Solitar group, there are at most two equivalence classes of $\\Gamma$-homotopy ribbon discs, and at most one such slice disc "},"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":"1902.05321","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-02-14T12:09:15Z","cross_cats_sorted":[],"title_canon_sha256":"18c8e74dbec841588e626dcc4a0c4b48428e777f275fc8cefaff11900de4d772","abstract_canon_sha256":"bde86352bbe98dabca7ae4322d9c40e9c7f48daa9df97a781669c7634ff3aa98"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:32:30.414451Z","signature_b64":"2QR2l7NDoNJ+tKOcIQIKgm/y16TBYq6Q7Zwg6eO5vnvWHNeb4zAjSteWvQP9RJulNEgfomdVgTtWyZpl+RnOAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dde05c2911b77c3be6e9930fd1b7c523475fdb12310dc76a8919204d43885c1e","last_reissued_at":"2026-07-05T06:32:30.413950Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:32:30.413950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Characterisation of homotopy ribbon discs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Anthony Conway, Mark Powell","submitted_at":"2019-02-14T12:09:15Z","abstract_excerpt":"Let $\\Gamma$ be either the infinite cyclic group $\\mathbb{Z}$ or the Baumslag-Solitar group $\\mathbb{Z} \\ltimes \\mathbb{Z}[\\frac{1}{2}]$. 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