{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:XY3CHOL535ROPY4FQMHMJYLWAB","short_pith_number":"pith:XY3CHOL5","schema_version":"1.0","canonical_sha256":"be3623b97ddf62e7e385830ec4e17600424b35016d15509fcbf854a4e2a9f8cb","source":{"kind":"arxiv","id":"1603.00578","version":1},"attestation_state":"computed","paper":{"title":"Flag-transitive point-primitive non-symmetric 2-(v,k,2) designs with alternating socle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.CO","authors_text":"Hongxue Liang, Shenglin Zhou","submitted_at":"2016-03-02T05:11:58Z","abstract_excerpt":"This paper studies flag-transitive point-primitive non-symmetric $2$-($v,k,2$) designs. We prove that if $\\mathcal{D}$ is a non-trivial non-symmetric $2$-$(v,k,2)$ design admitting a flag-transitive point-primitive automorphism group $G$ with $Soc(G)=A_{n}$ for $n\\geq5$, then $\\mathcal{D}$ is a $2$-$(6,3,2)$ or $2$-$(10,4,2)$ design."},"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":"1603.00578","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-03-02T05:11:58Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"f2bbc321665255dd7524760b6723703e0156d9a4b0a8e6cb6b5847e22043f995","abstract_canon_sha256":"9141b8df092384b25771156b93d5d808e0206a9af4bbac815aa7bd9bf112c7c1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:43.436680Z","signature_b64":"VvjesOznVKqTCFeUoUxNGXfF2KilwkMaXs3lQbraFg3fmcw7Ft6qKJTs6MTPTHNgQ3cKZ5WKzziEJLHcPE/xDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be3623b97ddf62e7e385830ec4e17600424b35016d15509fcbf854a4e2a9f8cb","last_reissued_at":"2026-05-18T01:19:43.436139Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:43.436139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Flag-transitive point-primitive non-symmetric 2-(v,k,2) designs with alternating socle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.CO","authors_text":"Hongxue Liang, Shenglin Zhou","submitted_at":"2016-03-02T05:11:58Z","abstract_excerpt":"This paper studies flag-transitive point-primitive non-symmetric $2$-($v,k,2$) designs. We prove that if $\\mathcal{D}$ is a non-trivial non-symmetric $2$-$(v,k,2)$ design admitting a flag-transitive point-primitive automorphism group $G$ with $Soc(G)=A_{n}$ for $n\\geq5$, then $\\mathcal{D}$ is a $2$-$(6,3,2)$ or $2$-$(10,4,2)$ design."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.00578","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":"1603.00578","created_at":"2026-05-18T01:19:43.436224+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.00578v1","created_at":"2026-05-18T01:19:43.436224+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.00578","created_at":"2026-05-18T01:19:43.436224+00:00"},{"alias_kind":"pith_short_12","alias_value":"XY3CHOL535RO","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_16","alias_value":"XY3CHOL535ROPY4F","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_8","alias_value":"XY3CHOL5","created_at":"2026-05-18T12:30:51.357362+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/XY3CHOL535ROPY4FQMHMJYLWAB","json":"https://pith.science/pith/XY3CHOL535ROPY4FQMHMJYLWAB.json","graph_json":"https://pith.science/api/pith-number/XY3CHOL535ROPY4FQMHMJYLWAB/graph.json","events_json":"https://pith.science/api/pith-number/XY3CHOL535ROPY4FQMHMJYLWAB/events.json","paper":"https://pith.science/paper/XY3CHOL5"},"agent_actions":{"view_html":"https://pith.science/pith/XY3CHOL535ROPY4FQMHMJYLWAB","download_json":"https://pith.science/pith/XY3CHOL535ROPY4FQMHMJYLWAB.json","view_paper":"https://pith.science/paper/XY3CHOL5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.00578&json=true","fetch_graph":"https://pith.science/api/pith-number/XY3CHOL535ROPY4FQMHMJYLWAB/graph.json","fetch_events":"https://pith.science/api/pith-number/XY3CHOL535ROPY4FQMHMJYLWAB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XY3CHOL535ROPY4FQMHMJYLWAB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XY3CHOL535ROPY4FQMHMJYLWAB/action/storage_attestation","attest_author":"https://pith.science/pith/XY3CHOL535ROPY4FQMHMJYLWAB/action/author_attestation","sign_citation":"https://pith.science/pith/XY3CHOL535ROPY4FQMHMJYLWAB/action/citation_signature","submit_replication":"https://pith.science/pith/XY3CHOL535ROPY4FQMHMJYLWAB/action/replication_record"}},"created_at":"2026-05-18T01:19:43.436224+00:00","updated_at":"2026-05-18T01:19:43.436224+00:00"}