{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TOWMWWJAPZEYTTNU6LNPXRXT7F","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":"b64cc2d37ec84b202ee5fa57d418ecfd4d5270cd9cb677b38e304b56835d9c66","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-11-25T09:34:30Z","title_canon_sha256":"6255f96dd3798b1f01c5815099f3186db90084b33747738a3937ce4515b1b8e1"},"schema_version":"1.0","source":{"id":"1711.09225","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.09225","created_at":"2026-05-18T00:13:05Z"},{"alias_kind":"arxiv_version","alias_value":"1711.09225v2","created_at":"2026-05-18T00:13:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.09225","created_at":"2026-05-18T00:13:05Z"},{"alias_kind":"pith_short_12","alias_value":"TOWMWWJAPZEY","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TOWMWWJAPZEYTTNU","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TOWMWWJA","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:c1e08884937fb9122d2fc12311156ff286456b946b494845cecc61530cd7828d","target":"graph","created_at":"2026-05-18T00:13:05Z","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 give a description of the category of ordinary K3 surfaces over a finite field in terms of linear algebra data over Z. This gives an analogue for K3 surfaces of Deligne's description of the category of ordinary abelian varieties over a finite field, and refines earlier work by N.O. Nygaard and J.-D. Yu.\n  Our main result is conditional on a conjecture on potential semi-stable reduction of K3 surfaces over p-adic fields. We give unconditional versions for K3 surfaces of large Picard rank and for K3 surfaces of small degree.","authors_text":"Lenny Taelman","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-11-25T09:34:30Z","title":"Ordinary K3 surfaces over a finite field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.09225","kind":"arxiv","version":2},"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":"sha256:6e51c5518f489af7ed393f15cfdd867fa1bb8bd1130bee7dc3dcdc517cc623f2","target":"record","created_at":"2026-05-18T00:13:05Z","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":"b64cc2d37ec84b202ee5fa57d418ecfd4d5270cd9cb677b38e304b56835d9c66","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-11-25T09:34:30Z","title_canon_sha256":"6255f96dd3798b1f01c5815099f3186db90084b33747738a3937ce4515b1b8e1"},"schema_version":"1.0","source":{"id":"1711.09225","kind":"arxiv","version":2}},"canonical_sha256":"9baccb59207e4989cdb4f2dafbc6f3f94488b7c7a3da78057a5dffa8b5966768","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9baccb59207e4989cdb4f2dafbc6f3f94488b7c7a3da78057a5dffa8b5966768","first_computed_at":"2026-05-18T00:13:05.035044Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:05.035044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Tx3x9OEXNGJD8CL/iowbALFqAIOc+tRVejs9dNwvGR0692wkTebFdEMEHk3+8ZYEjBVYuIKDLHqa0MEdnzTcAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:05.035646Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.09225","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e51c5518f489af7ed393f15cfdd867fa1bb8bd1130bee7dc3dcdc517cc623f2","sha256:c1e08884937fb9122d2fc12311156ff286456b946b494845cecc61530cd7828d"],"state_sha256":"0d08215a34d01125d1c1afa3179b5f08a4a4b92ecf646048eb3e5b41d44c1d88"}