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The Waldschmidt constant $\\widehat{\\alpha}(Z)$ of $Z$ is defined by the limit \\[\n  \\widehat{\\alpha}(Z)=\\lim_{m \\to \\infty}\\frac{\\alpha(mZ)}{m}. \\] Demailly conjectured that \\[ \\widehat{\\alpha}(Z)\\geq\\frac{\\alpha(mZ)+n-1}{m+n-1}. \\] Recently, Malara, Szemberg, and Szpond established Demailly's"},"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":"1903.05824","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-14T06:00:18Z","cross_cats_sorted":[],"title_canon_sha256":"3362ee954cdbc948a14a68fa95d27437f5e8588e572095df3d375178229e84b5","abstract_canon_sha256":"ec3da735036605d935cbac3ad3f67988ac0c0d659e0e6d73d1b1abc16cdd02a1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:16.065460Z","signature_b64":"LcuzY5lqtI2HUtbmC2IPbXVl51oYCOzG6HLL95FrJQSIG4uDLGHdA+QhzYPIphBL7erxpdF1GVXCQeQb1eOWBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eef8622a540d3191b10310c2cbf5cdce13a297c5b44a47ed51e8820fb377dcc7","last_reissued_at":"2026-05-17T23:51:16.065027Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:16.065027Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Demailly's conjecture on Waldschmidt constants for sufficiently many very general points in $\\mathbb{P}^n$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Shin-Yao Jow, Yu-Lin Chang","submitted_at":"2019-03-14T06:00:18Z","abstract_excerpt":"Let $Z$ be a finite set of $s$ points in the projective space $\\mathbb{P}^n$ over an algebraically closed field $F$. 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