{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WTT6USEFTS2ZR4WSWBKHGV3RHO","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":"315641154fcb539bd1239fcc9b1dd90a7adc47311d794af29c53846bcbaac238","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-05T06:18:08Z","title_canon_sha256":"fe1d8c165efcf1ce659154cec91bc3b776e97ff2a96d836318d7329d5823fdab"},"schema_version":"1.0","source":{"id":"1311.0974","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.0974","created_at":"2026-05-18T03:07:55Z"},{"alias_kind":"arxiv_version","alias_value":"1311.0974v1","created_at":"2026-05-18T03:07:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.0974","created_at":"2026-05-18T03:07:55Z"},{"alias_kind":"pith_short_12","alias_value":"WTT6USEFTS2Z","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WTT6USEFTS2ZR4WS","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WTT6USEF","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:32c75064e086cad64cefa8af86247d7a59c135ba9fad163bab89a26d215bdcd7","target":"graph","created_at":"2026-05-18T03:07:55Z","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"},"paper":{"abstract_excerpt":"We show that a smooth scheme over a ring of Witt vectors cannot have a lift of the Frobenius if it has positive Kodaira dimension.","authors_text":"Taylor Dupuy","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-05T06:18:08Z","title":"Positivity and Lifts of the Frobenius"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0974","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":"sha256:4aeed23836d50080f43f475496ee2758bdbd6b7d88cd4764c57ee77c44b92787","target":"record","created_at":"2026-05-18T03:07:55Z","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":"315641154fcb539bd1239fcc9b1dd90a7adc47311d794af29c53846bcbaac238","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-11-05T06:18:08Z","title_canon_sha256":"fe1d8c165efcf1ce659154cec91bc3b776e97ff2a96d836318d7329d5823fdab"},"schema_version":"1.0","source":{"id":"1311.0974","kind":"arxiv","version":1}},"canonical_sha256":"b4e7ea48859cb598f2d2b0547357713b8c12d284fad910724158e33805136d52","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4e7ea48859cb598f2d2b0547357713b8c12d284fad910724158e33805136d52","first_computed_at":"2026-05-18T03:07:55.854460Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:55.854460Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bCyi8bS66XALZNGRpxJxsPg8VMbTF1RxLr4Z2BpZYw/V9w++2N22Zc6L0D4LdHELbzSDXb1wwdLd77S6aL63AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:55.855106Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.0974","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4aeed23836d50080f43f475496ee2758bdbd6b7d88cd4764c57ee77c44b92787","sha256:32c75064e086cad64cefa8af86247d7a59c135ba9fad163bab89a26d215bdcd7"],"state_sha256":"3be4afd5421e30dae881d1adb4d76d7f82b1c79bafd4b7949e226cf1345bade7"}