{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZZXO2IGYGUABBAXE4NUGYBYI4H","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":"4ac430af74ec0da830e35410e4955b433c4594d4cd0f94a88c76dba265550191","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-07-21T05:05:13Z","title_canon_sha256":"febedbf392e20ab2c4ae274523e9b91cedf2d5d3a4727ac9c56a7c720b5c9815"},"schema_version":"1.0","source":{"id":"1507.05710","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.05710","created_at":"2026-05-18T00:20:52Z"},{"alias_kind":"arxiv_version","alias_value":"1507.05710v3","created_at":"2026-05-18T00:20:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.05710","created_at":"2026-05-18T00:20:52Z"},{"alias_kind":"pith_short_12","alias_value":"ZZXO2IGYGUAB","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZZXO2IGYGUABBAXE","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZZXO2IGY","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:260ba5c357c64d39a7d9054cb65271805b63818a4b6a9210e41812a0ae15de66","target":"graph","created_at":"2026-05-18T00:20:52Z","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":"Starting from a beautiful idea of Kanev, we construct a uniformization of the moduli space A_6 of principally polarized abelian 6-folds in terms of curves and monodromy data. We show that the general ppav of dimension 6 is a Prym-Tyurin variety corresponding to a degree 27 cover of the projective line having monodromy the Weyl group of the E_6 lattice. Along the way, we establish numerous facts concerning the geometry of the Hurwitz space of such E_6-covers, including: (1) a proof that the canonical class of the Hurwitz space is big, (2) a concrete geometric description of the Hodge-Hurwitz ei","authors_text":"Angela Ortega, Elham Izadi, Gavril Farkas, Ron Donagi, Valery Alexeev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-07-21T05:05:13Z","title":"The uniformization of the moduli space of principally polarized abelian 6-folds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.05710","kind":"arxiv","version":3},"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:f88e980e62566199cc34d53aa6265239636bcd8b98873cd71b799f80d2c54aa3","target":"record","created_at":"2026-05-18T00:20:52Z","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":"4ac430af74ec0da830e35410e4955b433c4594d4cd0f94a88c76dba265550191","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-07-21T05:05:13Z","title_canon_sha256":"febedbf392e20ab2c4ae274523e9b91cedf2d5d3a4727ac9c56a7c720b5c9815"},"schema_version":"1.0","source":{"id":"1507.05710","kind":"arxiv","version":3}},"canonical_sha256":"ce6eed20d835001082e4e3686c0708e1f31bb5538b4838ac91e1a60627a9e295","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce6eed20d835001082e4e3686c0708e1f31bb5538b4838ac91e1a60627a9e295","first_computed_at":"2026-05-18T00:20:52.646985Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:52.646985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XPFnmKBo0Kiwz01c7vdSMqaBWEjzPvSxrgUUZ+JVZG2NJ1CCAs4P7yrpRlFTxOhKvs3Tuoa9TPkBsiK84aH6DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:52.647449Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.05710","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f88e980e62566199cc34d53aa6265239636bcd8b98873cd71b799f80d2c54aa3","sha256:260ba5c357c64d39a7d9054cb65271805b63818a4b6a9210e41812a0ae15de66"],"state_sha256":"af6a79c35e57da0e6929b58233f0133f1dba9f3421911e820ca1b348365a89d0"}