{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:Y3XU2NUFLZNVWCEVY3X7ERHAO6","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":"35b6172b8e8d8df3aa13be5bcad3582d5620f299fa6111ae02a5926a1466ad5f","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-22T08:36:50Z","title_canon_sha256":"de042ccbc9429c61eff2b34733087134d801a9a4c4a1882ac4f0f08ef32f7968"},"schema_version":"1.0","source":{"id":"1603.06706","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.06706","created_at":"2026-05-18T01:18:34Z"},{"alias_kind":"arxiv_version","alias_value":"1603.06706v1","created_at":"2026-05-18T01:18:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.06706","created_at":"2026-05-18T01:18:34Z"},{"alias_kind":"pith_short_12","alias_value":"Y3XU2NUFLZNV","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"Y3XU2NUFLZNVWCEV","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"Y3XU2NUF","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:41ecd6e73218ff24979d34ef202c0a974e0d69b16ba04704307cbde61da35591","target":"graph","created_at":"2026-05-18T01:18:34Z","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":"The Deligne-Lusztig curves associated to the algebraic groups of type $^2A_2$, $^2B_2$, and $^2G_2$ are classical examples of maximal curves over finite fields. The Hermitian curve $\\mathcal H_q$ is maximal over $\\mathbb F_{q^2}$, for any prime power $q$, the Suzuki curve $\\mathcal S_q$ is maximal over $\\mathbb F_{q^4}$, for $q=2^{2h+1}$, $h\\geq1$ and the Ree curve $\\mathcal R_q$ is maximal over $\\mathbb F_{q^6}$, for $q=3^{2h+1}$, $h\\geq0$. In this paper we show that $\\mathcal S_8$ is not Galois covered by $\\mathcal H_{64}$. We also give a proof for an unpublished result due to Rains and Ziev","authors_text":"Giovanni Zini, Maria Montanucci","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-22T08:36:50Z","title":"Some Ree and Suzuki curves are not Galois covered by the Hermitian curve"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.06706","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":"sha256:0d8bfda6bbef01949a6443577d5acce9f7ecd55d5783c9e51e24617fd061c6ab","target":"record","created_at":"2026-05-18T01:18:34Z","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":"35b6172b8e8d8df3aa13be5bcad3582d5620f299fa6111ae02a5926a1466ad5f","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-22T08:36:50Z","title_canon_sha256":"de042ccbc9429c61eff2b34733087134d801a9a4c4a1882ac4f0f08ef32f7968"},"schema_version":"1.0","source":{"id":"1603.06706","kind":"arxiv","version":1}},"canonical_sha256":"c6ef4d36855e5b5b0895c6eff244e0779977c4ff40198e49838687a256553eb9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c6ef4d36855e5b5b0895c6eff244e0779977c4ff40198e49838687a256553eb9","first_computed_at":"2026-05-18T01:18:34.892459Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:34.892459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nV9sfNlcfi8ZHaDWLmHWvstGq5aCkSH7OmVoLpm4RoS1OloRs2yj4fIGDTDjGuXwgRiVQbGXqssIFslNTzuuBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:34.892861Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.06706","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d8bfda6bbef01949a6443577d5acce9f7ecd55d5783c9e51e24617fd061c6ab","sha256:41ecd6e73218ff24979d34ef202c0a974e0d69b16ba04704307cbde61da35591"],"state_sha256":"82a4198d2c60384902ee575382507f4ab937666fbc43ecc81c67fb151dd49697"}