{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:QGUVZ4RGOAOYT2WXILEZPUZ6ZF","short_pith_number":"pith:QGUVZ4RG","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"},"canonical_sha256":"81a95cf226701d89ead742c997d33ec9665129242d3c071b0f8f2d062d166747","source":{"kind":"arxiv","id":"2302.11030","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.11030","created_at":"2026-05-22T01:03:13Z"},{"alias_kind":"arxiv_version","alias_value":"2302.11030v4","created_at":"2026-05-22T01:03:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.11030","created_at":"2026-05-22T01:03:13Z"},{"alias_kind":"pith_short_12","alias_value":"QGUVZ4RGOAOY","created_at":"2026-05-22T01:03:13Z"},{"alias_kind":"pith_short_16","alias_value":"QGUVZ4RGOAOYT2WX","created_at":"2026-05-22T01:03:13Z"},{"alias_kind":"pith_short_8","alias_value":"QGUVZ4RG","created_at":"2026-05-22T01:03:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:QGUVZ4RGOAOYT2WXILEZPUZ6ZF","target":"record","payload":{"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"},"canonical_sha256":"81a95cf226701d89ead742c997d33ec9665129242d3c071b0f8f2d062d166747","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"},"source_kind":"arxiv","source_id":"2302.11030","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-22T01:03:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5Uxw9TC6TUfkSBE1hJdIRZIjuEkPo0GNRM33mlOrVNy0OsTsJuxMIxqt0IaSwlRKaxdiyovU5sqAL1nCD0GaCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T21:04:03.002153Z"},"content_sha256":"d3c051e9c763a8d4c128b5c294fa9e3815701a641857b0e60f9e0a6310b600ed","schema_version":"1.0","event_id":"sha256:d3c051e9c763a8d4c128b5c294fa9e3815701a641857b0e60f9e0a6310b600ed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:QGUVZ4RGOAOYT2WXILEZPUZ6ZF","target":"graph","payload":{"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 $p>0$. Let $S$ denote $\\mathop{\\mathrm{Spec}} \\mathscr{O}_K$ endowed with the canonical log structure. 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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.11030","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2302.11030/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-22T01:03:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hBiin4ZIhfuqSqcjpW+GIcQXWhQ2HQZbKpn2ljLz4JgdR+ECGZAY5Cx25IIa85gkUB1/ntfOjZRGEaaidyj/AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T21:04:03.002603Z"},"content_sha256":"7915b7436bd998374b5b99c1258a935033bff0cc2a2aa64677c8508c7f24ea86","schema_version":"1.0","event_id":"sha256:7915b7436bd998374b5b99c1258a935033bff0cc2a2aa64677c8508c7f24ea86"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QGUVZ4RGOAOYT2WXILEZPUZ6ZF/bundle.json","state_url":"https://pith.science/pith/QGUVZ4RGOAOYT2WXILEZPUZ6ZF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QGUVZ4RGOAOYT2WXILEZPUZ6ZF/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-25T21:04:03Z","links":{"resolver":"https://pith.science/pith/QGUVZ4RGOAOYT2WXILEZPUZ6ZF","bundle":"https://pith.science/pith/QGUVZ4RGOAOYT2WXILEZPUZ6ZF/bundle.json","state":"https://pith.science/pith/QGUVZ4RGOAOYT2WXILEZPUZ6ZF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QGUVZ4RGOAOYT2WXILEZPUZ6ZF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:QGUVZ4RGOAOYT2WXILEZPUZ6ZF","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"19f3d7000088324236ecc4a7582dc3243f3cc0a0e9b503cfc20b67d3b7bb9673","cross_cats_sorted":["math.AG"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NT","submitted_at":"2023-02-21T22:13:21Z","title_canon_sha256":"a6c266af4c834ad0de77a6b082c544273fc08eff4b3765ad4b029b9f717bc885"},"schema_version":"1.0","source":{"id":"2302.11030","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.11030","created_at":"2026-05-22T01:03:13Z"},{"alias_kind":"arxiv_version","alias_value":"2302.11030v4","created_at":"2026-05-22T01:03:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.11030","created_at":"2026-05-22T01:03:13Z"},{"alias_kind":"pith_short_12","alias_value":"QGUVZ4RGOAOY","created_at":"2026-05-22T01:03:13Z"},{"alias_kind":"pith_short_16","alias_value":"QGUVZ4RGOAOYT2WX","created_at":"2026-05-22T01:03:13Z"},{"alias_kind":"pith_short_8","alias_value":"QGUVZ4RG","created_at":"2026-05-22T01:03:13Z"}],"graph_snapshots":[{"event_id":"sha256:7915b7436bd998374b5b99c1258a935033bff0cc2a2aa64677c8508c7f24ea86","target":"graph","created_at":"2026-05-22T01:03:13Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2302.11030/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $\\mathscr{O}_K$ be a henselian DVR with field of fractions $K$ and residue field of characteristic $p>0$. Let $S$ denote $\\mathop{\\mathrm{Spec}} \\mathscr{O}_K$ endowed with the canonical log structure. 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","authors_text":"Alessandra Bertapelle, Heer Zhao, Shanwen Wang","cross_cats":["math.AG"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NT","submitted_at":"2023-02-21T22:13:21Z","title":"Log $p$-divisible groups and semi-stable representations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.11030","kind":"arxiv","version":4},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d3c051e9c763a8d4c128b5c294fa9e3815701a641857b0e60f9e0a6310b600ed","target":"record","created_at":"2026-05-22T01:03:13Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"19f3d7000088324236ecc4a7582dc3243f3cc0a0e9b503cfc20b67d3b7bb9673","cross_cats_sorted":["math.AG"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NT","submitted_at":"2023-02-21T22:13:21Z","title_canon_sha256":"a6c266af4c834ad0de77a6b082c544273fc08eff4b3765ad4b029b9f717bc885"},"schema_version":"1.0","source":{"id":"2302.11030","kind":"arxiv","version":4}},"canonical_sha256":"81a95cf226701d89ead742c997d33ec9665129242d3c071b0f8f2d062d166747","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"81a95cf226701d89ead742c997d33ec9665129242d3c071b0f8f2d062d166747","first_computed_at":"2026-05-22T01:03:13.359164Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-22T01:03:13.359164Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZYmCO1DMwMhTr76IUu2Eh0rJXjJi3s+IQs3231pZpR/K7NASEe597eqWUjnqGGKmTSrS93riCJfZ6sPEV8HVAQ==","signature_status":"signed_v1","signed_at":"2026-05-22T01:03:13.360173Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.11030","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3c051e9c763a8d4c128b5c294fa9e3815701a641857b0e60f9e0a6310b600ed","sha256:7915b7436bd998374b5b99c1258a935033bff0cc2a2aa64677c8508c7f24ea86"],"state_sha256":"3ddd50e28f764992b37fa8b3f6148202f10590fab8c758a32dff084c0d0d337f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GF6pGovqhH+7iF3tfF6gfUqywm83jlW9Z7CJhFgtt0LrYTMwTl6Db/AsjNDqzQY+NfIeA8HbXxRSoNnfPaSCCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T21:04:03.005124Z","bundle_sha256":"521b5efbd9758c95d6ef3b9527cffa68f5a9dfd059e8d8ab3eb55c3f1b55b4d9"}}