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We show that if P(K) is smoothly concordant to a split link, then many smooth concordance invariants of K must vanish, including the tau and s-invariants, and suitably normalized d-invariants of surgeries on K. We also investigate the (2,2m) cables P_m(K), and find obstructions to smooth concordance to the sum of the (2,2m) torus link and a split link."},"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":"1108.4476","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-08-23T02:15:05Z","cross_cats_sorted":[],"title_canon_sha256":"e600ab4d5a23548f6c79bd35d180fec86338cd4980db3b061317da002a11dd8d","abstract_canon_sha256":"84b1d2fe07822470e85529413b75444a3f299434d00740c88e4fb77e66f076eb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:54.500484Z","signature_b64":"g0Ntqzva2SNmnb9tLk/rruwtrJwNB9vM5/Zob2eCNj2xwAdfOslY1u0wD9Aaf5I23GJs21GdrLBsK8hkuV4SCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0843e637ea4b02c6e840311a58b7f0ee4640ca3fd198dc5de58a5b64451150ec","last_reissued_at":"2026-05-18T04:14:54.499775Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:54.499775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Concordance properties of parallel links","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Daniel Ruberman, Saso Strle","submitted_at":"2011-08-23T02:15:05Z","abstract_excerpt":"We investigate the concordance properties of `parallel links' P(K), given by the (2,0) cable of a knot K. 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