{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:YV6J3SNMFMV7H2RWYFUDBOM6R6","short_pith_number":"pith:YV6J3SNM","schema_version":"1.0","canonical_sha256":"c57c9dc9ac2b2bf3ea36c16830b99e8fa71454ba95b528852e94faa873310416","source":{"kind":"arxiv","id":"1408.0350","version":3},"attestation_state":"computed","paper":{"title":"Factorizations of almost simple groups with a solvable factor, and Cayley graphs of solvable groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Binzhou Xia, Cai Heng Li","submitted_at":"2014-08-02T08:05:12Z","abstract_excerpt":"A classification is given for factorizations of almost simple groups with at least one factor solvable, and it is then applied to characterize $s$-arc-transitive Cayley graphs of solvable groups, leading to a striking corollary: Except the cycles, every non-bipartite connected 3-arc-transitive Cayley graph of a solvable group is a cover of the Petersen graph or the Hoffman-Singleton graph."},"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":"1408.0350","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-08-02T08:05:12Z","cross_cats_sorted":[],"title_canon_sha256":"3a26a55ba7e954046fcc8af296bc1275e5cb8cf916c4d3e873de9c8e7f3caada","abstract_canon_sha256":"6ffd7e38d3c9d71dea1c3a93cdb2581f5f02f8ee84d0a6ef39ef272bc582e81b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:57.623829Z","signature_b64":"CVGVPunq44whPBLqtihPCVwjgdH5NAFZAYkfrCRb/aWwd/lXtWmEN9d0RTm2DKp72IKp+nKz6ZvgrEPApXLtBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c57c9dc9ac2b2bf3ea36c16830b99e8fa71454ba95b528852e94faa873310416","last_reissued_at":"2026-05-18T01:19:57.623176Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:57.623176Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Factorizations of almost simple groups with a solvable factor, and Cayley graphs of solvable groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Binzhou Xia, Cai Heng Li","submitted_at":"2014-08-02T08:05:12Z","abstract_excerpt":"A classification is given for factorizations of almost simple groups with at least one factor solvable, and it is then applied to characterize $s$-arc-transitive Cayley graphs of solvable groups, leading to a striking corollary: Except the cycles, every non-bipartite connected 3-arc-transitive Cayley graph of a solvable group is a cover of the Petersen graph or the Hoffman-Singleton graph."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.0350","kind":"arxiv","version":3},"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":"1408.0350","created_at":"2026-05-18T01:19:57.623283+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.0350v3","created_at":"2026-05-18T01:19:57.623283+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.0350","created_at":"2026-05-18T01:19:57.623283+00:00"},{"alias_kind":"pith_short_12","alias_value":"YV6J3SNMFMV7","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_16","alias_value":"YV6J3SNMFMV7H2RW","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_8","alias_value":"YV6J3SNM","created_at":"2026-05-18T12:28:59.999130+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/YV6J3SNMFMV7H2RWYFUDBOM6R6","json":"https://pith.science/pith/YV6J3SNMFMV7H2RWYFUDBOM6R6.json","graph_json":"https://pith.science/api/pith-number/YV6J3SNMFMV7H2RWYFUDBOM6R6/graph.json","events_json":"https://pith.science/api/pith-number/YV6J3SNMFMV7H2RWYFUDBOM6R6/events.json","paper":"https://pith.science/paper/YV6J3SNM"},"agent_actions":{"view_html":"https://pith.science/pith/YV6J3SNMFMV7H2RWYFUDBOM6R6","download_json":"https://pith.science/pith/YV6J3SNMFMV7H2RWYFUDBOM6R6.json","view_paper":"https://pith.science/paper/YV6J3SNM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.0350&json=true","fetch_graph":"https://pith.science/api/pith-number/YV6J3SNMFMV7H2RWYFUDBOM6R6/graph.json","fetch_events":"https://pith.science/api/pith-number/YV6J3SNMFMV7H2RWYFUDBOM6R6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YV6J3SNMFMV7H2RWYFUDBOM6R6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YV6J3SNMFMV7H2RWYFUDBOM6R6/action/storage_attestation","attest_author":"https://pith.science/pith/YV6J3SNMFMV7H2RWYFUDBOM6R6/action/author_attestation","sign_citation":"https://pith.science/pith/YV6J3SNMFMV7H2RWYFUDBOM6R6/action/citation_signature","submit_replication":"https://pith.science/pith/YV6J3SNMFMV7H2RWYFUDBOM6R6/action/replication_record"}},"created_at":"2026-05-18T01:19:57.623283+00:00","updated_at":"2026-05-18T01:19:57.623283+00:00"}