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In this article, we show that the function $t \\mapsto \\hat{h}_{E_t}(P_t)$ on $B(\\overline{K})$ is the height induced from an adelically metrized line bundle with non-negative curvature on $B$. Applying theorems of Thuillier and Yuan, we obtain the equidistribution of points $t \\in B(\\overline{K})$ where $P_t$ is torsion, and we give an explicit description of the limiting distribution on"},"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":"1701.07947","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-01-27T05:17:53Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"9e0c4830bf6ec8e8487c8cd3ac8649f739798a87ff215fca486c91ca8ea0cc27","abstract_canon_sha256":"38ed2a5ae078e5db6115bc137a0844a449ea5a82e68023e2ade66eb4ad4dd64a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:41.795116Z","signature_b64":"rHnWrznYz6bFTHa+1G7iBqXZwvxMdvSJTMsJnbyzDKarXJLhgp8SQJCGiHnB6GHY5sTfQL25/CbSjmEuPY5OAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b9b12fcef6c953c4fdca4d70d92e6919550eddca3e8b5987fa28efb3e3dc198","last_reissued_at":"2026-05-18T00:49:41.794587Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:41.794587Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Variation of canonical height and equidistribution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.NT","authors_text":"Laura DeMarco, Niki Myrto Mavraki","submitted_at":"2017-01-27T05:17:53Z","abstract_excerpt":"Let $\\pi : E\\to B$ be an elliptic surface defined over a number field $K$, where $B$ is a smooth projective curve, and let $P: B \\to E$ be a section defined over $K$ with canonical height $\\hat{h}_E(P)\\not=0$. 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