{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:OVG43GFNRRHOOL4G6LYSNIA6UE","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":"b68617cc059913eda5f901476f0c94d86ea1f6fd5fab07047cc77e8b6cd0bb22","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-04-19T17:30:20Z","title_canon_sha256":"e2440a219a20f2de18e0325710ef954fe6af6b1ee0521cfb04a19525f64541f2"},"schema_version":"1.0","source":{"id":"1804.07282","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.07282","created_at":"2026-05-17T23:54:25Z"},{"alias_kind":"arxiv_version","alias_value":"1804.07282v6","created_at":"2026-05-17T23:54:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.07282","created_at":"2026-05-17T23:54:25Z"},{"alias_kind":"pith_short_12","alias_value":"OVG43GFNRRHO","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OVG43GFNRRHOOL4G","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OVG43GFN","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:1d91326de8242faf31d08c8dfc61ffa942b0e47aa5dc4cebd873e53fca92a6b5","target":"graph","created_at":"2026-05-17T23:54:25Z","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 develop a theory of twistor spaces for supersingular K3 surfaces, extending the analogy between supersingular K3 surfaces and complex analytic K3 surfaces. Our twistor spaces are obtained as relative moduli spaces of twisted sheaves on universal gerbes associated to the Brauer groups of supersingular K3 surfaces. In rank 0, this is a geometric incarnation of the Artin-Tate isomorphism. Twistor spaces give rise to curves in moduli spaces of twisted supersingular K3 surfaces, analogous to the analytic moduli space of marked K3 surfaces. We describe a theory of crystals for twisted supersingul","authors_text":"Daniel Bragg, Max Lieblich","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-04-19T17:30:20Z","title":"Twistor spaces for supersingular K3 surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.07282","kind":"arxiv","version":6},"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":"sha256:72ea52ab6125f0d37f1c84328be0cdc0da85b3ec000cd4be646c32ae8a7faff0","target":"record","created_at":"2026-05-17T23:54:25Z","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":"b68617cc059913eda5f901476f0c94d86ea1f6fd5fab07047cc77e8b6cd0bb22","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-04-19T17:30:20Z","title_canon_sha256":"e2440a219a20f2de18e0325710ef954fe6af6b1ee0521cfb04a19525f64541f2"},"schema_version":"1.0","source":{"id":"1804.07282","kind":"arxiv","version":6}},"canonical_sha256":"754dcd98ad8c4ee72f86f2f126a01ea12033c5df9d5dbf03ee5f9c09c327ecfa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"754dcd98ad8c4ee72f86f2f126a01ea12033c5df9d5dbf03ee5f9c09c327ecfa","first_computed_at":"2026-05-17T23:54:25.142383Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:25.142383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hQ18C/fOZMGWY/fg68M10AbIGFZK9VyFr2P90OqemQlud5FyECLyXn/QO/QIUro+WVZq+dQuq+N+9LgbedJSAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:25.143095Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.07282","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72ea52ab6125f0d37f1c84328be0cdc0da85b3ec000cd4be646c32ae8a7faff0","sha256:1d91326de8242faf31d08c8dfc61ffa942b0e47aa5dc4cebd873e53fca92a6b5"],"state_sha256":"b1a79b4084d4ac876e610dab8539eba8952470b7a91d40100060b557b1bad495"}