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For example, we show that if the Brauer-Manin obstruction is the only obstruction to the existence of rational points on $X$ over all finite extensions of $k$, then the $2$-primary Brauer-Manin obstruction is the only obstruction to the existence of a zero-cycle of degree $\\delta$ on $X$ over $k$."},"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":"1804.05819","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-04-16T17:42:56Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"8672d902df6c28c6b0635c6308b46e8fcaf6c4c966feb62fb06a43cf8b07d0ef","abstract_canon_sha256":"1fc7cd44f63cb88ce15a3881d87115c26fe8c516904c252e3b836e846eb01059"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:24.549608Z","signature_b64":"GN6TaIGK05x7PtV/920llct+rRmlEPGwmXDNqgS6CrIA6Kp63DjFhlKs9cZQhC9aorRJzello92Q/aItYd/eBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"77dbe7f002d9b42c252f50199f47bb8a7e0e90e46d42954f05f807ca7f1b654c","last_reissued_at":"2026-05-18T00:03:24.549230Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:24.549230Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Arithmetic of rational points and zero-cycles on Kummer varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Francesca Balestrieri, Rachel Newton","submitted_at":"2018-04-16T17:42:56Z","abstract_excerpt":"Let $k$ be a number field, let $X$ be a Kummer variety over $k$, and let $\\delta$ be an odd integer. 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