{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ROG2N77JJ4CUPB6UGNZ7KG3RHA","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":"517e879037e917d3cb344be16f27ccd86a9b651d42574bf322a6dac29cf7c3ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-11-08T10:12:01Z","title_canon_sha256":"ce4e63f54e7fb160ca626d47952a122d857d61bceb14208b035c931544d6505b"},"schema_version":"1.0","source":{"id":"1711.02894","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.02894","created_at":"2026-05-18T00:12:19Z"},{"alias_kind":"arxiv_version","alias_value":"1711.02894v2","created_at":"2026-05-18T00:12:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.02894","created_at":"2026-05-18T00:12:19Z"},{"alias_kind":"pith_short_12","alias_value":"ROG2N77JJ4CU","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"ROG2N77JJ4CUPB6U","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"ROG2N77J","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:99171792773bb590861161eaa17df9d5a72cb5cb0f3d426af3e7d5e970bae659","target":"graph","created_at":"2026-05-18T00:12:19Z","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":"In this article we construct for any prime power $q$ and odd $n \\ge 5$, a new $\\mathbb{F}_{q^{2n}}$-maximal curve $\\mathcal X_n$. Like the Garcia--G\\\" uneri--Stichtenoth maximal curves, our curves generalize the Giulietti--Korchm\\'aros maximal curve, though in a different way. We compute the full automorphism group of $\\mathcal X_n$, yielding that it has precisely $q(q^2-1)(q^n+1)$ automorphisms. Further, we show that unless $q=2$, the curve $\\mathcal{X}_n$ is not a Galois subcover of the Hermitian curve. Finally, we find new values of the genus spectrum of $\\mathbb{F}_{q^{2n}}$-maximal curves","authors_text":"Maria Montanucci, Peter Beelen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-11-08T10:12:01Z","title":"A new family of maximal curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.02894","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":"sha256:686777f2a0b80e624d836da9d51b96b966464d1ff9e626ad999eb1109bfde959","target":"record","created_at":"2026-05-18T00:12:19Z","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":"517e879037e917d3cb344be16f27ccd86a9b651d42574bf322a6dac29cf7c3ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-11-08T10:12:01Z","title_canon_sha256":"ce4e63f54e7fb160ca626d47952a122d857d61bceb14208b035c931544d6505b"},"schema_version":"1.0","source":{"id":"1711.02894","kind":"arxiv","version":2}},"canonical_sha256":"8b8da6ffe94f054787d43373f51b713835d36c11fd6cd6c6c01b29c848dba5f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b8da6ffe94f054787d43373f51b713835d36c11fd6cd6c6c01b29c848dba5f5","first_computed_at":"2026-05-18T00:12:19.034932Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:19.034932Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oYfNJlmoI43glMuWj83LUy0N8yqYY5BUCS/TMsy5dttCvYFZwCxppaD6upSr3JF3F7QQf5gpZltcc8MTbdYqAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:19.035692Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.02894","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:686777f2a0b80e624d836da9d51b96b966464d1ff9e626ad999eb1109bfde959","sha256:99171792773bb590861161eaa17df9d5a72cb5cb0f3d426af3e7d5e970bae659"],"state_sha256":"902ea5b8c7d479d0647851e9070c30103a06cb5988ed69ac59ab45977db8e093"}