{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:4WKBQQWSSHPER7VYWCV2HETLZ2","short_pith_number":"pith:4WKBQQWS","schema_version":"1.0","canonical_sha256":"e5941842d291de48feb8b0aba3926bce879b1c86d1072ee9bc332e234b3ae182","source":{"kind":"arxiv","id":"1703.01869","version":2},"attestation_state":"computed","paper":{"title":"About the Fricke-Macbeath curve","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ruben A. Hidalgo","submitted_at":"2017-03-06T13:47:22Z","abstract_excerpt":"A Hurwitz curve is a closed Riemann surface of genus $g \\geq 2$ whose group of conformal automorphisms has order $84(g-1)$. In 1895, Wiman proved that for $g=3$ there is, up to isomorphisms, a unique Hurwitz curve; this being Klein's plane quartic curve. Moreover, he also proved that there is no Hurwitz curve of genus $g=2,4,5,6$. Later, in 1965, Macbeath proved the existence, up to isomorphisms, of a unique Hurwitz curve of genus $g=7$; this known as the Fricke-Macbeath curve. Equations were also provided; that being the fiber product of suitable three elliptic curves. In the same year, Edge "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1703.01869","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-06T13:47:22Z","cross_cats_sorted":[],"title_canon_sha256":"42072cc5eb86ba7b3a5a4c4b4030fab98d38a8e345e81b1f4f09fa7234c61d8c","abstract_canon_sha256":"d0b4cab58342c6333f08e4a721322a340fac6c6946e6ed4c2d6fb52a7af6e7ed"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:17.868104Z","signature_b64":"ANJHHv84XNPozZu/+TkOERzjAXF+X8P+6bny9PF+Uv55K2jrkG76W0qowJsK0NYRzZ5d4kgJnHHOjjN2UoviCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e5941842d291de48feb8b0aba3926bce879b1c86d1072ee9bc332e234b3ae182","last_reissued_at":"2026-05-18T00:41:17.867417Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:17.867417Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"About the Fricke-Macbeath curve","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ruben A. Hidalgo","submitted_at":"2017-03-06T13:47:22Z","abstract_excerpt":"A Hurwitz curve is a closed Riemann surface of genus $g \\geq 2$ whose group of conformal automorphisms has order $84(g-1)$. In 1895, Wiman proved that for $g=3$ there is, up to isomorphisms, a unique Hurwitz curve; this being Klein's plane quartic curve. Moreover, he also proved that there is no Hurwitz curve of genus $g=2,4,5,6$. Later, in 1965, Macbeath proved the existence, up to isomorphisms, of a unique Hurwitz curve of genus $g=7$; this known as the Fricke-Macbeath curve. Equations were also provided; that being the fiber product of suitable three elliptic curves. In the same year, Edge "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.01869","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1703.01869","created_at":"2026-05-18T00:41:17.867530+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.01869v2","created_at":"2026-05-18T00:41:17.867530+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.01869","created_at":"2026-05-18T00:41:17.867530+00:00"},{"alias_kind":"pith_short_12","alias_value":"4WKBQQWSSHPE","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_16","alias_value":"4WKBQQWSSHPER7VY","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_8","alias_value":"4WKBQQWS","created_at":"2026-05-18T12:31:00.734936+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4WKBQQWSSHPER7VYWCV2HETLZ2","json":"https://pith.science/pith/4WKBQQWSSHPER7VYWCV2HETLZ2.json","graph_json":"https://pith.science/api/pith-number/4WKBQQWSSHPER7VYWCV2HETLZ2/graph.json","events_json":"https://pith.science/api/pith-number/4WKBQQWSSHPER7VYWCV2HETLZ2/events.json","paper":"https://pith.science/paper/4WKBQQWS"},"agent_actions":{"view_html":"https://pith.science/pith/4WKBQQWSSHPER7VYWCV2HETLZ2","download_json":"https://pith.science/pith/4WKBQQWSSHPER7VYWCV2HETLZ2.json","view_paper":"https://pith.science/paper/4WKBQQWS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.01869&json=true","fetch_graph":"https://pith.science/api/pith-number/4WKBQQWSSHPER7VYWCV2HETLZ2/graph.json","fetch_events":"https://pith.science/api/pith-number/4WKBQQWSSHPER7VYWCV2HETLZ2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4WKBQQWSSHPER7VYWCV2HETLZ2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4WKBQQWSSHPER7VYWCV2HETLZ2/action/storage_attestation","attest_author":"https://pith.science/pith/4WKBQQWSSHPER7VYWCV2HETLZ2/action/author_attestation","sign_citation":"https://pith.science/pith/4WKBQQWSSHPER7VYWCV2HETLZ2/action/citation_signature","submit_replication":"https://pith.science/pith/4WKBQQWSSHPER7VYWCV2HETLZ2/action/replication_record"}},"created_at":"2026-05-18T00:41:17.867530+00:00","updated_at":"2026-05-18T00:41:17.867530+00:00"}