{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:TJ6KVMUEQITGDRVPASRJDC5VA3","short_pith_number":"pith:TJ6KVMUE","schema_version":"1.0","canonical_sha256":"9a7caab284822661c6af04a2918bb506d2e98a4828546bfd6bfae4ec5a853774","source":{"kind":"arxiv","id":"1107.0364","version":1},"attestation_state":"computed","paper":{"title":"Fissioned triangular schemes via sharply 3-transitive groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.CO","authors_text":"Jianmin Ma, Kaishun Wang","submitted_at":"2011-07-02T09:16:07Z","abstract_excerpt":"n [D. de Caen, E.R. van Dam. Fissioned triangular schemes via the cross-ratio, {Europ. J. Combin.}, 22 (2001) 297-301], de Caen and van Dam constructed a fission scheme $\\FT(q+1)$ of the triangular scheme on $\\PG(1,q)$. This fission scheme comes from the naturally induced action of $\\PGL(2,q)$ on the 2-element subsets of $\\PG(1,q)$. The group $\\PGL(2,q)$ is one of two infinite families of finite sharply 3-transitive groups. The other such family $\\Mq(q)$ is a \"twisted\" version of $\\PGL(2,q)$, where $q$ is an even power of an odd prime. The group $\\PSL(2,q)$ is the intersection of $\\PGL(2,q)$ a"},"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":"1107.0364","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-07-02T09:16:07Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"9a29c0705ed21d9f5af335ec71d35cf86a941d53dd359aced84f45599539f5ee","abstract_canon_sha256":"35956f8846fc6adf44f7d3f1c71e83d0563ce37e481ddedb99e8e271b8b0fa51"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:54.098062Z","signature_b64":"xcXVdZgcF0cpr0jW+IXulPMxy2+jxcYo9OJcEn8LmSFSjoni9MwJCABGYIm00mfs/z/p7xmSPaBj4B71wmJNAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9a7caab284822661c6af04a2918bb506d2e98a4828546bfd6bfae4ec5a853774","last_reissued_at":"2026-05-18T04:18:54.097648Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:54.097648Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fissioned triangular schemes via sharply 3-transitive groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.CO","authors_text":"Jianmin Ma, Kaishun Wang","submitted_at":"2011-07-02T09:16:07Z","abstract_excerpt":"n [D. de Caen, E.R. van Dam. Fissioned triangular schemes via the cross-ratio, {Europ. J. Combin.}, 22 (2001) 297-301], de Caen and van Dam constructed a fission scheme $\\FT(q+1)$ of the triangular scheme on $\\PG(1,q)$. This fission scheme comes from the naturally induced action of $\\PGL(2,q)$ on the 2-element subsets of $\\PG(1,q)$. The group $\\PGL(2,q)$ is one of two infinite families of finite sharply 3-transitive groups. The other such family $\\Mq(q)$ is a \"twisted\" version of $\\PGL(2,q)$, where $q$ is an even power of an odd prime. The group $\\PSL(2,q)$ is the intersection of $\\PGL(2,q)$ a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.0364","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":"1107.0364","created_at":"2026-05-18T04:18:54.097708+00:00"},{"alias_kind":"arxiv_version","alias_value":"1107.0364v1","created_at":"2026-05-18T04:18:54.097708+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.0364","created_at":"2026-05-18T04:18:54.097708+00:00"},{"alias_kind":"pith_short_12","alias_value":"TJ6KVMUEQITG","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_16","alias_value":"TJ6KVMUEQITGDRVP","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_8","alias_value":"TJ6KVMUE","created_at":"2026-05-18T12:26:42.757692+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/TJ6KVMUEQITGDRVPASRJDC5VA3","json":"https://pith.science/pith/TJ6KVMUEQITGDRVPASRJDC5VA3.json","graph_json":"https://pith.science/api/pith-number/TJ6KVMUEQITGDRVPASRJDC5VA3/graph.json","events_json":"https://pith.science/api/pith-number/TJ6KVMUEQITGDRVPASRJDC5VA3/events.json","paper":"https://pith.science/paper/TJ6KVMUE"},"agent_actions":{"view_html":"https://pith.science/pith/TJ6KVMUEQITGDRVPASRJDC5VA3","download_json":"https://pith.science/pith/TJ6KVMUEQITGDRVPASRJDC5VA3.json","view_paper":"https://pith.science/paper/TJ6KVMUE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1107.0364&json=true","fetch_graph":"https://pith.science/api/pith-number/TJ6KVMUEQITGDRVPASRJDC5VA3/graph.json","fetch_events":"https://pith.science/api/pith-number/TJ6KVMUEQITGDRVPASRJDC5VA3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TJ6KVMUEQITGDRVPASRJDC5VA3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TJ6KVMUEQITGDRVPASRJDC5VA3/action/storage_attestation","attest_author":"https://pith.science/pith/TJ6KVMUEQITGDRVPASRJDC5VA3/action/author_attestation","sign_citation":"https://pith.science/pith/TJ6KVMUEQITGDRVPASRJDC5VA3/action/citation_signature","submit_replication":"https://pith.science/pith/TJ6KVMUEQITGDRVPASRJDC5VA3/action/replication_record"}},"created_at":"2026-05-18T04:18:54.097708+00:00","updated_at":"2026-05-18T04:18:54.097708+00:00"}