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We show that the rational points of V(K) are Brauer--Manin unobstructed for power maps on P^2 in two cases: (1) V is a translate of a torus. (2) V is a line and P has a preperiodic coordinate. A key tool in the proofs is the classical Bang-Zsigmondy theorem on pri"},"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":"0801.3045","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.NT","submitted_at":"2008-01-19T17:06:24Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"088c2d3b424029873adb7bf241b1a8291adfc519f764a6a7ddd5764f594ff421","abstract_canon_sha256":"4c21066529c10ecd511f5e68454b3de76f08b1da9c3d8283532de983ee59e6c3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:21:12.521807Z","signature_b64":"V2LH+y9tjHfrAnOQjSI/5f51IhEjtTWY/whauXFL5ZIAWT3WW2BqugfC3QoLZxtnXVQYFvoJBo6+68eLxK8SBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b1de5d951e6b1ef5845b4caf0b77b0f4758b96a0b9b4ed2c0cf71a1f2b4039d","last_reissued_at":"2026-05-18T04:21:12.521056Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:21:12.521056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On a Dynamical Brauer-Manin Obstruction","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Joseph H. 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