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We show that if either $L$ is a strongly quasipositive link other than one with Alexander polynomial a multiple of $(t-1)^{2g(L) + (|L|-1)}$, or $L$ is a quasipositive link other than one with Alexander polynomial divisible by $(t-1)^{2g_4(L) + (|L|-1)}$, then there is an integer $n(L)$, determined by the Alexander polynomial of $L$ in the first case and the Alexander polynomial of $L$ and the smooth $4$-genus of $L$, $g_4(L)$, in the second, such that $n"},"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":"1710.07658","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-10-20T18:32:24Z","cross_cats_sorted":[],"title_canon_sha256":"c351e97c4cabe38564701425bc0fc1b531e3e4950373065399c3f047445931e6","abstract_canon_sha256":"edd60f19bcb74ca3c3a5db370dbc2231bceabdd695699dc4a3adb6ca0406d366"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:34.374266Z","signature_b64":"6tgCwKfmh1FYHft8bBWqqhiWItnI3f2AUREhPSvEqOF7ckkBj0F+raOQv8do4ppRWQQDHfzgY+VQESL3BZ8yCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d9d2eb29c409c4af3644f3f01ccbab0dc2682bad8e125585206451092457c6a","last_reissued_at":"2026-05-17T23:51:34.373589Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:34.373589Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Branched covers of quasipositive links and L-spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Cameron McA. 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