{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:25POHAPQEKAOAMUMRCU3PUJ42U","short_pith_number":"pith:25POHAPQ","schema_version":"1.0","canonical_sha256":"d75ee381f02280e0328c88a9b7d13cd51b1fecff3a3a625c34c70a5121a55933","source":{"kind":"arxiv","id":"1805.01527","version":1},"attestation_state":"computed","paper":{"title":"Non virtually solvable subgroups of mapping class groups have non virtually solvable representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.GT","authors_text":"Asaf Hadari","submitted_at":"2018-05-03T20:44:44Z","abstract_excerpt":"Let $\\Sigma$ be a compact orientable surface of finite type with at least one boundary component. Let $\\Gamma \\leq \\textup{Mod}(\\Sigma)$ be a non virtually solvable subgroup. We answer a question of Lubotzky by showing that there exists a finite dimensional homological representation $\\rho$ of $\\textup{Mod}(\\Sigma)$ such that $\\rho(\\Gamma)$ is not virtually solvable. We then apply results of Lubotzky and Meiri to show that for any random walk on such a group the probability of landing on a power, or on an element with topological entropy $0$ both decrease exponentially in the length of the wal"},"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":"1805.01527","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-05-03T20:44:44Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"906f54ef6292f5d3dc2303cee69169ec34ee185d52e9054e8e050b799ba754b4","abstract_canon_sha256":"fa02a93cea7eba492d20cd17a351f815a4e1c16b87203da9738f1f203c7078ff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:49.748241Z","signature_b64":"+/uYjJvfYyrWaXTB9bpGWILosf7KASZ8c1jh18zjM4zprlOFH7rPsZZueLYcb3y+q3r5AxW18hFp0mJbzTMqAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d75ee381f02280e0328c88a9b7d13cd51b1fecff3a3a625c34c70a5121a55933","last_reissued_at":"2026-05-18T00:16:49.747556Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:49.747556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non virtually solvable subgroups of mapping class groups have non virtually solvable representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.GT","authors_text":"Asaf Hadari","submitted_at":"2018-05-03T20:44:44Z","abstract_excerpt":"Let $\\Sigma$ be a compact orientable surface of finite type with at least one boundary component. Let $\\Gamma \\leq \\textup{Mod}(\\Sigma)$ be a non virtually solvable subgroup. We answer a question of Lubotzky by showing that there exists a finite dimensional homological representation $\\rho$ of $\\textup{Mod}(\\Sigma)$ such that $\\rho(\\Gamma)$ is not virtually solvable. We then apply results of Lubotzky and Meiri to show that for any random walk on such a group the probability of landing on a power, or on an element with topological entropy $0$ both decrease exponentially in the length of the wal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.01527","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":"1805.01527","created_at":"2026-05-18T00:16:49.747678+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.01527v1","created_at":"2026-05-18T00:16:49.747678+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.01527","created_at":"2026-05-18T00:16:49.747678+00:00"},{"alias_kind":"pith_short_12","alias_value":"25POHAPQEKAO","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_16","alias_value":"25POHAPQEKAOAMUM","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_8","alias_value":"25POHAPQ","created_at":"2026-05-18T12:31:59.375834+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/25POHAPQEKAOAMUMRCU3PUJ42U","json":"https://pith.science/pith/25POHAPQEKAOAMUMRCU3PUJ42U.json","graph_json":"https://pith.science/api/pith-number/25POHAPQEKAOAMUMRCU3PUJ42U/graph.json","events_json":"https://pith.science/api/pith-number/25POHAPQEKAOAMUMRCU3PUJ42U/events.json","paper":"https://pith.science/paper/25POHAPQ"},"agent_actions":{"view_html":"https://pith.science/pith/25POHAPQEKAOAMUMRCU3PUJ42U","download_json":"https://pith.science/pith/25POHAPQEKAOAMUMRCU3PUJ42U.json","view_paper":"https://pith.science/paper/25POHAPQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.01527&json=true","fetch_graph":"https://pith.science/api/pith-number/25POHAPQEKAOAMUMRCU3PUJ42U/graph.json","fetch_events":"https://pith.science/api/pith-number/25POHAPQEKAOAMUMRCU3PUJ42U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/25POHAPQEKAOAMUMRCU3PUJ42U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/25POHAPQEKAOAMUMRCU3PUJ42U/action/storage_attestation","attest_author":"https://pith.science/pith/25POHAPQEKAOAMUMRCU3PUJ42U/action/author_attestation","sign_citation":"https://pith.science/pith/25POHAPQEKAOAMUMRCU3PUJ42U/action/citation_signature","submit_replication":"https://pith.science/pith/25POHAPQEKAOAMUMRCU3PUJ42U/action/replication_record"}},"created_at":"2026-05-18T00:16:49.747678+00:00","updated_at":"2026-05-18T00:16:49.747678+00:00"}