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Namely, we give examples of knots whose zero-framed surgeries are rational homology cobordant 3-manifolds, wherein the knots are not rationally concordant (that is not concordant in any rational homology S^3 x [0,1]). Specifically, we prove that, for any positive integer p and any knot K, the zero framed surgery on K is Z[1/p]-homology cob"},"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":"1011.4901","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2010-11-22T18:33:19Z","cross_cats_sorted":[],"title_canon_sha256":"0b694af944c158030a0f99be66db0de27f0f540a826499056cf590bfe68750b2","abstract_canon_sha256":"763e44b93d946c1c52df677fac3e83ea926f275ae0b1de6f99086eae6ce59ed6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:34:45.655614Z","signature_b64":"e6NMhvbTLfP3BlSnHd51Px7bFykbbDfs3vsqHJHjIiJC2hHFNBEhIeGp8PzJyo+9+4dNfK64oNGS55Z5tjIoBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1dd3d4235a7ce2e6e895d9559871732fd8f04ffd3fc749551f3cea57e5aaca8e","last_reissued_at":"2026-05-18T04:34:45.655148Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:34:45.655148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rational knot concordance and homology cobordism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Bridget D. 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