{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:WZX2UOVLMHHV5RK3T5HQHU3NWR","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":"00b7f788f615a4dc3b9dffed6e0d4a385796da21c3410a16cf14deea5b443379","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-05-21T21:48:39Z","title_canon_sha256":"e67676074ec3f5c03f8e6beb0d64ee16a3ffa8392a55393e1a303c052c770486"},"schema_version":"1.0","source":{"id":"1905.08882","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.08882","created_at":"2026-05-17T23:45:14Z"},{"alias_kind":"arxiv_version","alias_value":"1905.08882v2","created_at":"2026-05-17T23:45:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.08882","created_at":"2026-05-17T23:45:14Z"},{"alias_kind":"pith_short_12","alias_value":"WZX2UOVLMHHV","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"WZX2UOVLMHHV5RK3","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"WZX2UOVL","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:70b4934fa1b3425c7e26137a4542c52711b59fabb4c123c60df98a4ec52bf302","target":"graph","created_at":"2026-05-17T23:45:14Z","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":"Let $\\mathcal{X}$ be a projective algebraic curve and denote by $\\mathcal{X}^{'}$ its strict dual curve. The map $\\gamma:\\mathcal{X} \\longrightarrow \\mathcal{X}^{'}$ is called (strict) Gauss map of $\\mathcal{X}$. In this manuscript, we study the separable degree of the Gauss map of curves defined over finite fields. In particular, we give a generalization of a known result on the separable degree of the Gauss map of plane Frobenius nonclassical curves. We also obtain a characterization of certain plane strange curves.","authors_text":"Nazar Arakelian","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-05-21T21:48:39Z","title":"Separable degree of the Gauss map and strict dual curves over finite fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.08882","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":"sha256:2bc2d96ada82903a26a631630d148eccfe23ced175ae5e18738907f48a68e7b6","target":"record","created_at":"2026-05-17T23:45:14Z","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":"00b7f788f615a4dc3b9dffed6e0d4a385796da21c3410a16cf14deea5b443379","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-05-21T21:48:39Z","title_canon_sha256":"e67676074ec3f5c03f8e6beb0d64ee16a3ffa8392a55393e1a303c052c770486"},"schema_version":"1.0","source":{"id":"1905.08882","kind":"arxiv","version":2}},"canonical_sha256":"b66faa3aab61cf5ec55b9f4f03d36db474ed830fff9dea0d1619fe31ec58dcd3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b66faa3aab61cf5ec55b9f4f03d36db474ed830fff9dea0d1619fe31ec58dcd3","first_computed_at":"2026-05-17T23:45:14.458944Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:14.458944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lJTfzhvDpDRlCQlK0HCsN8LL2hOg/z675PyoY69nqwVoe9AM+D4LMJZSr3KdTnKTfdP2r6iUJb10yPKyKLVlBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:14.459569Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.08882","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2bc2d96ada82903a26a631630d148eccfe23ced175ae5e18738907f48a68e7b6","sha256:70b4934fa1b3425c7e26137a4542c52711b59fabb4c123c60df98a4ec52bf302"],"state_sha256":"da7fdedd6372aaf246ce99eff43f94ce6d8c4f36eb2fd97dc18eb46ad4754ac6"}