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We establish that the scaling limit of the boundary of $K_\\lambda"},"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":"1808.09779","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-08-29T13:06:42Z","cross_cats_sorted":["math.MG"],"title_canon_sha256":"b6930c8825e3db16c63701205133e3c61602cef79ad06c453c2136a4e8599ad4","abstract_canon_sha256":"33a08104291c97dc7d24f1403d6c79079a82007490329d3537ce65543dd9b71e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:54.483120Z","signature_b64":"OjC25M/QWD/ECdh4T8s05tHrU/tUi1LikUansOZEUNIGS5IM22xHs41mKcAwaBPDoXKfvJqg2JZsGqjBrJ+yCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"225a9d257d98f19ba0816e7625310eca27d25c533424a46e7157319d11246420","last_reissued_at":"2026-05-18T00:06:54.482629Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:54.482629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Universal Scaling Limits for Generalized Gamma Polytopes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MG"],"primary_cat":"math.PR","authors_text":"Julian Grote","submitted_at":"2018-08-29T13:06:42Z","abstract_excerpt":"Fix a space dimension $d\\ge 2$, parameters $\\alpha > -1$ and $\\beta \\ge 1$, and let $\\gamma_{d,\\alpha, \\beta}$ be the probability measure of an isotropic random vector in $\\mathbb{R}^d$ with density proportional to \\begin{align*} ||x||^\\alpha\\, \\exp\\left(-\\frac{\\|x\\|^\\beta}{\\beta}\\right), \\qquad x\\in \\mathbb{R}^d. \\end{align*} By $K_\\lambda$, we denote the Generalized Gamma Polytope arising as the random convex hull of a Poisson point process in $\\mathbb{R}^d$ with intensity measure $\\lambda\\gamma_{d,\\alpha,\\beta}$, $\\lambda>0$. 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