{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VNPCVECDYOT36CBARTFWEAE4TG","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":"af85c6ad24cd781f59c814bc0999c6619fd854439f1a2c8026ace87876a9b396","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-07-07T11:05:25Z","title_canon_sha256":"5145086dc09c098c357ef1b3e6df662ea40e7c9ea6d0997377d4cb31a7fb8274"},"schema_version":"1.0","source":{"id":"1807.02646","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.02646","created_at":"2026-07-05T01:44:36Z"},{"alias_kind":"arxiv_version","alias_value":"1807.02646v2","created_at":"2026-07-05T01:44:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.02646","created_at":"2026-07-05T01:44:36Z"},{"alias_kind":"pith_short_12","alias_value":"VNPCVECDYOT3","created_at":"2026-07-05T01:44:36Z"},{"alias_kind":"pith_short_16","alias_value":"VNPCVECDYOT36CBA","created_at":"2026-07-05T01:44:36Z"},{"alias_kind":"pith_short_8","alias_value":"VNPCVECD","created_at":"2026-07-05T01:44:36Z"}],"graph_snapshots":[{"event_id":"sha256:9b546bc25b0cc2d1e011ac4986eeafa7f9f8110db794de6d6739fc2274368356","target":"graph","created_at":"2026-07-05T01:44:36Z","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/1807.02646/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we prove the irreducibility of the monodromy action on the anti-invariant part of the vanishing cohomology on a double cover of a very general element in an ample hypersurface of a complex smooth projective variety branched at an ample divisor. As an application, we study dominant rational maps from a double cover of a very general surface $S$ of degree$\\geq 7$ in ${\\mathbb P}^3$ branched at a very general quadric surface to smooth projective surfaces $Z$. Our method combines the classification theory of algebraic surfaces, deformation theory, and Hodge theory.","authors_text":"Gian Pietro Pirola, Yongnam Lee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-07-07T11:05:25Z","title":"Vanishing cohomology on a double cover"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.02646","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":"sha256:3cddcee63a1bf2a606528794c3931258ae66a676077de76bc960926a39482a5f","target":"record","created_at":"2026-07-05T01:44:36Z","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":"af85c6ad24cd781f59c814bc0999c6619fd854439f1a2c8026ace87876a9b396","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-07-07T11:05:25Z","title_canon_sha256":"5145086dc09c098c357ef1b3e6df662ea40e7c9ea6d0997377d4cb31a7fb8274"},"schema_version":"1.0","source":{"id":"1807.02646","kind":"arxiv","version":2}},"canonical_sha256":"ab5e2a9043c3a7bf08208ccb62009c99bd26378d290db04dcb873b7090b6391d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab5e2a9043c3a7bf08208ccb62009c99bd26378d290db04dcb873b7090b6391d","first_computed_at":"2026-07-05T01:44:36.290066Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:44:36.290066Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HEH7fvVFRgQn4GJ0gUIICENXgkQ1LkmUOc4pg+Y1vYgJPa4n2L7FMsBzBx62jYfPkwUfTg1OKfCKE5o8wkF9CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:44:36.290461Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.02646","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3cddcee63a1bf2a606528794c3931258ae66a676077de76bc960926a39482a5f","sha256:9b546bc25b0cc2d1e011ac4986eeafa7f9f8110db794de6d6739fc2274368356"],"state_sha256":"52dffc609be0f4189dd30c74868dd01ea21b1fc70dedd40536ef74ba4f3c800d"}