{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:JMZOBGYJ6CFFC3LUAK3YTCQPEL","short_pith_number":"pith:JMZOBGYJ","schema_version":"1.0","canonical_sha256":"4b32e09b09f08a516d7402b7898a0f22cd137da6be46d8929c16e3c930889bae","source":{"kind":"arxiv","id":"1911.06175","version":2},"attestation_state":"computed","paper":{"title":"A classification of flag-transitive block designs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.GR","authors_text":"Ashraf Daneshkhah, Fatemeh Mouseli, Seyed Hassan Alavi","submitted_at":"2019-11-13T06:57:15Z","abstract_excerpt":"In this article, we investigate $2$-$(v,k,\\lambda)$ designs with $\\gcd(r,\\lambda)=1$ admitting flag-transitive automorphism groups $G$. We prove that if $G$ is an almost simple group, then such a design belongs to one of the seven infinite families of $2$-designs or it is one of the eleven well-known examples. We describe all these examples of designs. We, in particular, prove that if $\\mathcal{D}$ is a symmetric $(v,k,\\lambda)$ design with $\\gcd(k,\\lambda)=1$ admitting a flag-transitive automorphism group $G$, then either $G\\leq A\\Gamma L_{1}(q)$ for some odd prime power $q$, or $\\mathcal{D}$"},"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":"1911.06175","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2019-11-13T06:57:15Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"d2909f4cbfc690e132b9d384cb661637c4c62c44ec2f4714328255ba00208ebe","abstract_canon_sha256":"2658461d37a779cc668a184d5f8ae6aeaa20948310662f24e85806af36fc479a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:25:35.667912Z","signature_b64":"sNWB+exL5gfbX7DSDDIAxCljGktk/RWGKMirg4gOnk88LBYPEXBIYXzhQNbT3Jt6oiauvc0NDDEvzWEEBhm1BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4b32e09b09f08a516d7402b7898a0f22cd137da6be46d8929c16e3c930889bae","last_reissued_at":"2026-07-05T01:25:35.667510Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:25:35.667510Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A classification of flag-transitive block designs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.GR","authors_text":"Ashraf Daneshkhah, Fatemeh Mouseli, Seyed Hassan Alavi","submitted_at":"2019-11-13T06:57:15Z","abstract_excerpt":"In this article, we investigate $2$-$(v,k,\\lambda)$ designs with $\\gcd(r,\\lambda)=1$ admitting flag-transitive automorphism groups $G$. We prove that if $G$ is an almost simple group, then such a design belongs to one of the seven infinite families of $2$-designs or it is one of the eleven well-known examples. We describe all these examples of designs. We, in particular, prove that if $\\mathcal{D}$ is a symmetric $(v,k,\\lambda)$ design with $\\gcd(k,\\lambda)=1$ admitting a flag-transitive automorphism group $G$, then either $G\\leq A\\Gamma L_{1}(q)$ for some odd prime power $q$, or $\\mathcal{D}$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.06175","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1911.06175/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1911.06175","created_at":"2026-07-05T01:25:35.667573+00:00"},{"alias_kind":"arxiv_version","alias_value":"1911.06175v2","created_at":"2026-07-05T01:25:35.667573+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.06175","created_at":"2026-07-05T01:25:35.667573+00:00"},{"alias_kind":"pith_short_12","alias_value":"JMZOBGYJ6CFF","created_at":"2026-07-05T01:25:35.667573+00:00"},{"alias_kind":"pith_short_16","alias_value":"JMZOBGYJ6CFFC3LU","created_at":"2026-07-05T01:25:35.667573+00:00"},{"alias_kind":"pith_short_8","alias_value":"JMZOBGYJ","created_at":"2026-07-05T01:25:35.667573+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.05831","citing_title":"Flag-transitive block designs and finite exceptional simple groups of Lie type","ref_index":4,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JMZOBGYJ6CFFC3LUAK3YTCQPEL","json":"https://pith.science/pith/JMZOBGYJ6CFFC3LUAK3YTCQPEL.json","graph_json":"https://pith.science/api/pith-number/JMZOBGYJ6CFFC3LUAK3YTCQPEL/graph.json","events_json":"https://pith.science/api/pith-number/JMZOBGYJ6CFFC3LUAK3YTCQPEL/events.json","paper":"https://pith.science/paper/JMZOBGYJ"},"agent_actions":{"view_html":"https://pith.science/pith/JMZOBGYJ6CFFC3LUAK3YTCQPEL","download_json":"https://pith.science/pith/JMZOBGYJ6CFFC3LUAK3YTCQPEL.json","view_paper":"https://pith.science/paper/JMZOBGYJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1911.06175&json=true","fetch_graph":"https://pith.science/api/pith-number/JMZOBGYJ6CFFC3LUAK3YTCQPEL/graph.json","fetch_events":"https://pith.science/api/pith-number/JMZOBGYJ6CFFC3LUAK3YTCQPEL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JMZOBGYJ6CFFC3LUAK3YTCQPEL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JMZOBGYJ6CFFC3LUAK3YTCQPEL/action/storage_attestation","attest_author":"https://pith.science/pith/JMZOBGYJ6CFFC3LUAK3YTCQPEL/action/author_attestation","sign_citation":"https://pith.science/pith/JMZOBGYJ6CFFC3LUAK3YTCQPEL/action/citation_signature","submit_replication":"https://pith.science/pith/JMZOBGYJ6CFFC3LUAK3YTCQPEL/action/replication_record"}},"created_at":"2026-07-05T01:25:35.667573+00:00","updated_at":"2026-07-05T01:25:35.667573+00:00"}