{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:UZHWQEVD265YKWA7KBFEYZACBH","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":"24215cda4935a0443b4e877e9c0e737dfd083f1982a0f55b69afc6dd8ad1cac3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-03-24T18:40:37Z","title_canon_sha256":"f4b79c62f4912b45d948a7519e500e0fb537428100ba38b720e61f270b565fd3"},"schema_version":"1.0","source":{"id":"2403.16259","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.16259","created_at":"2026-05-20T00:02:45Z"},{"alias_kind":"arxiv_version","alias_value":"2403.16259v3","created_at":"2026-05-20T00:02:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.16259","created_at":"2026-05-20T00:02:45Z"},{"alias_kind":"pith_short_12","alias_value":"UZHWQEVD265Y","created_at":"2026-05-20T00:02:45Z"},{"alias_kind":"pith_short_16","alias_value":"UZHWQEVD265YKWA7","created_at":"2026-05-20T00:02:45Z"},{"alias_kind":"pith_short_8","alias_value":"UZHWQEVD","created_at":"2026-05-20T00:02:45Z"}],"graph_snapshots":[{"event_id":"sha256:9e98ce971130a8139a67b66599ecb3740f873d2fa3c18df2c002397a5a1f50fe","target":"graph","created_at":"2026-05-20T00:02:45Z","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/2403.16259/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present an effective global generation result for direct images of pluricanonical bundles in mixed characteristic. This is a mixed characteristic analog of Ejiri's theorem in positive characteristic and the theorem of Popa and Schnell regarding their Fujita-type conjecture in characteristic zero. As an application, we establish a weak positivity statement for the relative canonical sheaf of a smooth morphism in mixed characteristic.","authors_text":"Hirotaka Onuki","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-03-24T18:40:37Z","title":"On the effective generation of direct images of pluricanonical bundles in mixed characteristic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.16259","kind":"arxiv","version":3},"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:f3b85b8a368746d2dee5861da7dfc496f8f18982e8027e8b94d3ce2105d4b1e1","target":"record","created_at":"2026-05-20T00:02:45Z","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":"24215cda4935a0443b4e877e9c0e737dfd083f1982a0f55b69afc6dd8ad1cac3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-03-24T18:40:37Z","title_canon_sha256":"f4b79c62f4912b45d948a7519e500e0fb537428100ba38b720e61f270b565fd3"},"schema_version":"1.0","source":{"id":"2403.16259","kind":"arxiv","version":3}},"canonical_sha256":"a64f6812a3d7bb85581f504a4c640209ff599b2dd0998f1bcb51e31e1a67cb65","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a64f6812a3d7bb85581f504a4c640209ff599b2dd0998f1bcb51e31e1a67cb65","first_computed_at":"2026-05-20T00:02:45.905437Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:02:45.905437Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jpKc0oxa6g4PsBpsevDaJ/rDvopD5w+WTBcNDZWKEnloCjG/D8UTBAv6QKaUdLJ+Ja0/YMiXRTVlrhe7e9qZCw==","signature_status":"signed_v1","signed_at":"2026-05-20T00:02:45.906118Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.16259","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3b85b8a368746d2dee5861da7dfc496f8f18982e8027e8b94d3ce2105d4b1e1","sha256:9e98ce971130a8139a67b66599ecb3740f873d2fa3c18df2c002397a5a1f50fe"],"state_sha256":"22333b7d4815e40789b14fbee94d8ac1939e29fc5abd93e9f50e5695adbd13a0"}