{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:ZSFGZYSAKRIOIH537N6TRHF7Q7","short_pith_number":"pith:ZSFGZYSA","schema_version":"1.0","canonical_sha256":"cc8a6ce2405450e41fbbfb7d389cbf87e2cef150560c7b1281cba790a758445a","source":{"kind":"arxiv","id":"1806.04370","version":1},"attestation_state":"computed","paper":{"title":"Nilpotent groups of class two which underly a unique regular dessin","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Kan Hu, Naer Wang, Roman Nedela","submitted_at":"2018-06-12T07:30:57Z","abstract_excerpt":"A dessin is an embedding of connected bipartite graph into an oriented closed surface. A dessin is regular if its group of colour- and orientation-preserving automorphisms acts transitively on the edges. In the present paper regular dessins with a nilpotent automorphism group are investigated, and attention are paid on those with the highest level of external symmetry. Depending on the algebraic theory of dessins and using group-theoretical methods, we present a classification of nilpotent groups of class two which underly a unique regular dessin."},"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":"1806.04370","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-06-12T07:30:57Z","cross_cats_sorted":[],"title_canon_sha256":"1c538227829361c62d01cb4fed2dfbcf65f50a7a09931d1a7c4cdb735f89eec2","abstract_canon_sha256":"0d6211790eb3cc473a2f1062f6734a20d60b017f5b34e89aebb8bdeb2da7c5c5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:35.708632Z","signature_b64":"Km5dc/XBDEmPLmDjuTEgLYVPkVCOtHQSJA3NNeZmrKFQfbFqn/p0RW/jIy7mWF3IgKmULG9BafNmxRSgjLA3Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc8a6ce2405450e41fbbfb7d389cbf87e2cef150560c7b1281cba790a758445a","last_reissued_at":"2026-05-18T00:13:35.707960Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:35.707960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nilpotent groups of class two which underly a unique regular dessin","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Kan Hu, Naer Wang, Roman Nedela","submitted_at":"2018-06-12T07:30:57Z","abstract_excerpt":"A dessin is an embedding of connected bipartite graph into an oriented closed surface. A dessin is regular if its group of colour- and orientation-preserving automorphisms acts transitively on the edges. In the present paper regular dessins with a nilpotent automorphism group are investigated, and attention are paid on those with the highest level of external symmetry. Depending on the algebraic theory of dessins and using group-theoretical methods, we present a classification of nilpotent groups of class two which underly a unique regular dessin."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.04370","kind":"arxiv","version":1},"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":"1806.04370","created_at":"2026-05-18T00:13:35.708075+00:00"},{"alias_kind":"arxiv_version","alias_value":"1806.04370v1","created_at":"2026-05-18T00:13:35.708075+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.04370","created_at":"2026-05-18T00:13:35.708075+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZSFGZYSAKRIO","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZSFGZYSAKRIOIH53","created_at":"2026-05-18T12:33:07.085635+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZSFGZYSA","created_at":"2026-05-18T12:33:07.085635+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/ZSFGZYSAKRIOIH537N6TRHF7Q7","json":"https://pith.science/pith/ZSFGZYSAKRIOIH537N6TRHF7Q7.json","graph_json":"https://pith.science/api/pith-number/ZSFGZYSAKRIOIH537N6TRHF7Q7/graph.json","events_json":"https://pith.science/api/pith-number/ZSFGZYSAKRIOIH537N6TRHF7Q7/events.json","paper":"https://pith.science/paper/ZSFGZYSA"},"agent_actions":{"view_html":"https://pith.science/pith/ZSFGZYSAKRIOIH537N6TRHF7Q7","download_json":"https://pith.science/pith/ZSFGZYSAKRIOIH537N6TRHF7Q7.json","view_paper":"https://pith.science/paper/ZSFGZYSA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1806.04370&json=true","fetch_graph":"https://pith.science/api/pith-number/ZSFGZYSAKRIOIH537N6TRHF7Q7/graph.json","fetch_events":"https://pith.science/api/pith-number/ZSFGZYSAKRIOIH537N6TRHF7Q7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZSFGZYSAKRIOIH537N6TRHF7Q7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZSFGZYSAKRIOIH537N6TRHF7Q7/action/storage_attestation","attest_author":"https://pith.science/pith/ZSFGZYSAKRIOIH537N6TRHF7Q7/action/author_attestation","sign_citation":"https://pith.science/pith/ZSFGZYSAKRIOIH537N6TRHF7Q7/action/citation_signature","submit_replication":"https://pith.science/pith/ZSFGZYSAKRIOIH537N6TRHF7Q7/action/replication_record"}},"created_at":"2026-05-18T00:13:35.708075+00:00","updated_at":"2026-05-18T00:13:35.708075+00:00"}