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We show that the generic fiber functor $\\mathbf{BT}_{S, {\\mathrm{d}}}^{\\log}\\to \\mathbf{BT}^{\\mathrm{st}}_K$ between the category of dual representable log $p$-divisible groups over $S$ and the category of $p$-divisible groups with semistable reduction over $K$ is an equivalence. If $\\mathscr{O}_K$ is further complete with perfect residue field and of mixed characteristic, we show that $\\mat"},"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":"2302.11030","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NT","submitted_at":"2023-02-21T22:13:21Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"a6c266af4c834ad0de77a6b082c544273fc08eff4b3765ad4b029b9f717bc885","abstract_canon_sha256":"19f3d7000088324236ecc4a7582dc3243f3cc0a0e9b503cfc20b67d3b7bb9673"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-22T01:03:13.360173Z","signature_b64":"ZYmCO1DMwMhTr76IUu2Eh0rJXjJi3s+IQs3231pZpR/K7NASEe597eqWUjnqGGKmTSrS93riCJfZ6sPEV8HVAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"81a95cf226701d89ead742c997d33ec9665129242d3c071b0f8f2d062d166747","last_reissued_at":"2026-05-22T01:03:13.359164Z","signature_status":"signed_v1","first_computed_at":"2026-05-22T01:03:13.359164Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Log $p$-divisible groups and semi-stable representations","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Alessandra Bertapelle, Heer Zhao, Shanwen Wang","submitted_at":"2023-02-21T22:13:21Z","abstract_excerpt":"Let $\\mathscr{O}_K$ be a henselian DVR with field of fractions $K$ and residue field of characteristic $p>0$. 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