{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:NKYARQJXXTI2OA6CZA3A6WNOZ2","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":"e3e261b1293490ff56e0076973efb51a4896b363fc1e68229f19d825532a30e1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-06-24T17:02:45Z","title_canon_sha256":"eb2a3477277ade04fdc42dd141e86617e8df7430185b341b88035bd329d70d20"},"schema_version":"1.0","source":{"id":"1406.6308","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.6308","created_at":"2026-05-18T01:37:44Z"},{"alias_kind":"arxiv_version","alias_value":"1406.6308v3","created_at":"2026-05-18T01:37:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.6308","created_at":"2026-05-18T01:37:44Z"},{"alias_kind":"pith_short_12","alias_value":"NKYARQJXXTI2","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NKYARQJXXTI2OA6C","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NKYARQJX","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:14e601880004ea30d7fc7fb7fba971e08c6f41c2cb868d518f2ab00349a0e29e","target":"graph","created_at":"2026-05-18T01:37:44Z","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 construct three new families of fibrations $\\pi : S \\to B$ where $S$ is an algebraic complex surface and $B$ a curve that violate Xiao's conjecture relating the relative irregularity and the genus of the general fiber. The fibers of $\\pi$ are certain \\'etale cyclic covers of hyperelliptic curves that give coverings of $P^1$ with dihedral monodromy.\n  As an application, we also show the existence of big and nef effective divisors in the Brill-Noether range.","authors_text":"Alberto Albano, Gian Pietro Pirola","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-06-24T17:02:45Z","title":"Dihedral Monodromy and Xiao Fibrations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.6308","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":"sha256:6a778ae398c5faac33f82c994ae1c29e7cc54841a7e5d73a29e3825fb254ef91","target":"record","created_at":"2026-05-18T01:37:44Z","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":"e3e261b1293490ff56e0076973efb51a4896b363fc1e68229f19d825532a30e1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-06-24T17:02:45Z","title_canon_sha256":"eb2a3477277ade04fdc42dd141e86617e8df7430185b341b88035bd329d70d20"},"schema_version":"1.0","source":{"id":"1406.6308","kind":"arxiv","version":3}},"canonical_sha256":"6ab008c137bcd1a703c2c8360f59aece99acdeaa116b056f0ded4220ebcda7bd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ab008c137bcd1a703c2c8360f59aece99acdeaa116b056f0ded4220ebcda7bd","first_computed_at":"2026-05-18T01:37:44.777438Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:44.777438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qoA+GtSYZBnw6J+wIrBbt4/Y7yBZ0MkqIdlkxFZV52rsh2zJNCjoQvKlLKU7IWx9RFpkh6GiRIsuIf9f8jAvDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:44.777935Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.6308","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a778ae398c5faac33f82c994ae1c29e7cc54841a7e5d73a29e3825fb254ef91","sha256:14e601880004ea30d7fc7fb7fba971e08c6f41c2cb868d518f2ab00349a0e29e"],"state_sha256":"85cb5aa192ae3d64ad8c37b140f46ab549a2a1c8700fa7606daefebd92d076be"}