{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:Z5LETOOKU3VZIZE3WYBWQLTHQT","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":"0e8a96129e1d397648c452654a74e4c6261e75f8a7197e7f133c92ae8be74340","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-22T13:41:20Z","title_canon_sha256":"afa34fc105f68b4e049a8c2437c851c6fbce0144692063eb0a7b893fe116b3c9"},"schema_version":"1.0","source":{"id":"1908.08372","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.08372","created_at":"2026-07-04T23:59:12Z"},{"alias_kind":"arxiv_version","alias_value":"1908.08372v1","created_at":"2026-07-04T23:59:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.08372","created_at":"2026-07-04T23:59:12Z"},{"alias_kind":"pith_short_12","alias_value":"Z5LETOOKU3VZ","created_at":"2026-07-04T23:59:12Z"},{"alias_kind":"pith_short_16","alias_value":"Z5LETOOKU3VZIZE3","created_at":"2026-07-04T23:59:12Z"},{"alias_kind":"pith_short_8","alias_value":"Z5LETOOK","created_at":"2026-07-04T23:59:12Z"}],"graph_snapshots":[{"event_id":"sha256:aa9ac102d198a1e84f8e3d4c82b334cd49f280fae434cb2ca5d3c56300cb5eac","target":"graph","created_at":"2026-07-04T23:59:12Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.08372/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we prove the Kobayashi hyperbolicity of the coarse moduli spaces of canonically polarized or polarized Calabi-Yau manifolds in the sense of complex $V$-spaces (a generalization of complex $V$-manifolds in the sense of Satake). As an application, we prove the following hyperbolic version of Campana's isotriviality conjecture: for the smooth family of canonically polarized or polarized Calabi-Yau manifolds, when the Kobayashi pseudo-distance of the base vanishes identically, the family must be isotrivial, that is, any two fibers are isomorphic. We also prove that for the smooth pr","authors_text":"Ya Deng","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-22T13:41:20Z","title":"Hyperbolicity of coarse moduli spaces and isotriviality for certain families"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.08372","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:b5518ca56bd49154e93f3715acaaa19cbfd00c4b79cbb311d210851d38014daf","target":"record","created_at":"2026-07-04T23:59:12Z","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":"0e8a96129e1d397648c452654a74e4c6261e75f8a7197e7f133c92ae8be74340","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-22T13:41:20Z","title_canon_sha256":"afa34fc105f68b4e049a8c2437c851c6fbce0144692063eb0a7b893fe116b3c9"},"schema_version":"1.0","source":{"id":"1908.08372","kind":"arxiv","version":1}},"canonical_sha256":"cf5649b9caa6eb94649bb603682e6784d18688f27433d6415954d0361f0be9c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf5649b9caa6eb94649bb603682e6784d18688f27433d6415954d0361f0be9c1","first_computed_at":"2026-07-04T23:59:12.208355Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:59:12.208355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+0NRooBk0CpYIM+8g07vOCjvVihaGZIbmonjELzvBSiZ8QbbAjWoZ78YIigo0AoGbZZbwooCa7nI5VNrgBNrDg==","signature_status":"signed_v1","signed_at":"2026-07-04T23:59:12.208755Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.08372","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5518ca56bd49154e93f3715acaaa19cbfd00c4b79cbb311d210851d38014daf","sha256:aa9ac102d198a1e84f8e3d4c82b334cd49f280fae434cb2ca5d3c56300cb5eac"],"state_sha256":"f756a285f4ca1acc6db6c491b80c8f8dd0320a7227e8eff4ecde561a651e276e"}