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We assume that there exist a regular strictly semistable model $\\mathscr{X}$ of $X$ over $R$ and a relatively ample line bundle $\\mathscr{L}$ over $\\mathscr{X}$ with $\\mathscr{L}|_{X} \\cong L$. Let $S(\\mathscr{X})$ be the skeleton associated to $\\mathscr{X}$ in the Berkovich analytification $X^{\\mathrm{an}}$ of $X$. In this article, we study when $S(\\mathscr{X})$ is faithfu"},"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":"1612.01099","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-12-04T11:12:46Z","cross_cats_sorted":[],"title_canon_sha256":"9484dd02f3b94a472c2f14532476827006023e5d51d1fbf842ca716f2e570673","abstract_canon_sha256":"a8cbc8e8b2feb2560cd9481766c6d0733f7ec804eb1e4725bb7526e3a34bf746"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:54.908302Z","signature_b64":"Z0o7WrDNEfeqoj3IZ+s2KmRJ97nxDG+eB+gq7AQ7VqV1qL3i6sHecpd59nAngCt/ImcjZaPU1ad1NkRjWh/0Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d3bf73d774b118a0d676ce1f6b450bae5f6a9b89b92ff8c9ce6355e5185d45ff","last_reissued_at":"2026-05-18T00:52:54.907896Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:54.907896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Effective faithful tropicalizations associated to adjoint linear systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Kazuhiko Yamaki, Shu Kawaguchi","submitted_at":"2016-12-04T11:12:46Z","abstract_excerpt":"Let $R$ be a complete discrete valuation ring of equi-characteristic zero with fractional field $K$. 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