{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:V7IZDUT5BAVIQRS3WMWY4TNSXO","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":"0dc77796543db6de23a64e585a83dedf114da37249969c7208bb08cf8bb4ed68","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-12-28T23:53:44Z","title_canon_sha256":"f34e07504db49494bc6dc51ce26ac51b81323a548d5f6b870848b0d5f127b468"},"schema_version":"1.0","source":{"id":"0912.5228","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.5228","created_at":"2026-05-18T02:24:45Z"},{"alias_kind":"arxiv_version","alias_value":"0912.5228v2","created_at":"2026-05-18T02:24:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.5228","created_at":"2026-05-18T02:24:45Z"},{"alias_kind":"pith_short_12","alias_value":"V7IZDUT5BAVI","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"V7IZDUT5BAVIQRS3","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"V7IZDUT5","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:337896e680215270f96a1ae8e9fa49901d1b101471c2c331ab23364d2f8e2c14","target":"graph","created_at":"2026-05-18T02:24:45Z","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"},"paper":{"abstract_excerpt":"We classify primitive non-symplectic automorphisms of order 6 on K3 surfaces. We show how their study can be reduced to the study of non-symplectic automorphisms of order 3 and to a local analysis of the fixed loci. In particular, we determine the possible fixed loci and show that when the Picard lattice is fixed, K3 surfaces come in mirror pairs.","authors_text":"Jimmy Dillies","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-12-28T23:53:44Z","title":"Order 6 non-symplectic automorphisms of K3 surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.5228","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":"sha256:2e6bf4e8bc36640570e90bbbc1916b133d3557e7ce3e3befdacbec37b6d0ed9b","target":"record","created_at":"2026-05-18T02:24:45Z","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":"0dc77796543db6de23a64e585a83dedf114da37249969c7208bb08cf8bb4ed68","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-12-28T23:53:44Z","title_canon_sha256":"f34e07504db49494bc6dc51ce26ac51b81323a548d5f6b870848b0d5f127b468"},"schema_version":"1.0","source":{"id":"0912.5228","kind":"arxiv","version":2}},"canonical_sha256":"afd191d27d082a88465bb32d8e4db2bb8fd5405c1a1511053467e48b3f06ddbc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"afd191d27d082a88465bb32d8e4db2bb8fd5405c1a1511053467e48b3f06ddbc","first_computed_at":"2026-05-18T02:24:45.328904Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:24:45.328904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TsuYkX1kbNh9jsv+1jyqA9opHqpLph1KN+PmOR8zqlbAc9O0tgqNhPOVtvQzBvR87kPfc0YjejgLqekHcKJLBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:24:45.329357Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.5228","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2e6bf4e8bc36640570e90bbbc1916b133d3557e7ce3e3befdacbec37b6d0ed9b","sha256:337896e680215270f96a1ae8e9fa49901d1b101471c2c331ab23364d2f8e2c14"],"state_sha256":"cebb2cc01318a23013585de1c9bee5405331533fe484003f528fa4f04daaa191"}