{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:SBDJJ3EHBAOUBLEGNHGHIKZU63","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":"c1e97aeb81b2677516eaeb8bdb8bf2b8ad6fb0fdfcadcf1875bc2992cc292268","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-05-03T14:45:44Z","title_canon_sha256":"8ede2116a308bf20b9f6c1b0efff3cc4fd7acaf55d9054c8ef14f09a24304a9b"},"schema_version":"1.0","source":{"id":"2305.02157","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.02157","created_at":"2026-07-05T06:06:47Z"},{"alias_kind":"arxiv_version","alias_value":"2305.02157v1","created_at":"2026-07-05T06:06:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.02157","created_at":"2026-07-05T06:06:47Z"},{"alias_kind":"pith_short_12","alias_value":"SBDJJ3EHBAOU","created_at":"2026-07-05T06:06:47Z"},{"alias_kind":"pith_short_16","alias_value":"SBDJJ3EHBAOUBLEG","created_at":"2026-07-05T06:06:47Z"},{"alias_kind":"pith_short_8","alias_value":"SBDJJ3EH","created_at":"2026-07-05T06:06:47Z"}],"graph_snapshots":[{"event_id":"sha256:da3c4b34f036a78b2a53f83d70bd81340767de6efd80f8204b39a4af50afdfe0","target":"graph","created_at":"2026-07-05T06:06:47Z","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/2305.02157/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove the Demailly--Peternell--Schneider conjecture in positive characteristic: if $X$ is a smooth projective variety over an algebraically closed field of characteristic $p>0$ with $-K_X$ is nef, then the Albanese morphism $a: X \\to A$ is surjective. We also show strengthenings either allowing mild singularities for $X$, or proving more special properties of $a$.\n  The above statement for compact K\\\"ahler manifolds was conjectured originally by Demailly, Peternell and Schneider in 1993, and for smooth projective varieties of characteristic zero it was shown by Zhang in 1996. In positive ch","authors_text":"Sho Ejiri, Zsolt Patakfalvi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-05-03T14:45:44Z","title":"The Demailly--Peternell--Schneider conjecture is true in positive characteristic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.02157","kind":"arxiv","version":1},"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":"sha256:8bcf7860994e77646936c06e81166e0209748fdc2f24dfd6f953bd4b42369aaa","target":"record","created_at":"2026-07-05T06:06:47Z","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":"c1e97aeb81b2677516eaeb8bdb8bf2b8ad6fb0fdfcadcf1875bc2992cc292268","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-05-03T14:45:44Z","title_canon_sha256":"8ede2116a308bf20b9f6c1b0efff3cc4fd7acaf55d9054c8ef14f09a24304a9b"},"schema_version":"1.0","source":{"id":"2305.02157","kind":"arxiv","version":1}},"canonical_sha256":"904694ec87081d40ac8669cc742b34f6d84a71f400c1b0e8cae05fa999e1bf19","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"904694ec87081d40ac8669cc742b34f6d84a71f400c1b0e8cae05fa999e1bf19","first_computed_at":"2026-07-05T06:06:47.964001Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:06:47.964001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"krjGNrVgBoBwD05w/x2N/BB49y3iEn7wh9Wo7GDPZ/pYIl3MLXfWUujlWYkEWRAr03G2+joCK3VzyrgLeh1dBw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:06:47.964424Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.02157","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8bcf7860994e77646936c06e81166e0209748fdc2f24dfd6f953bd4b42369aaa","sha256:da3c4b34f036a78b2a53f83d70bd81340767de6efd80f8204b39a4af50afdfe0"],"state_sha256":"86d36977a733fb1ad2d6bfd317ae46171128dce51dcbc97dec4ccae9e5ab1056"}