{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:DHU4MOF5KCF5ZIW5FZCLVJAGMC","short_pith_number":"pith:DHU4MOF5","schema_version":"1.0","canonical_sha256":"19e9c638bd508bdca2dd2e44baa4066083a998b4f9c4bec28b944175d98879dd","source":{"kind":"arxiv","id":"1602.08740","version":2},"attestation_state":"computed","paper":{"title":"Uniform symplicity of groups with proximal action","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.LO"],"primary_cat":"math.GR","authors_text":"Jakub Gismatullin, Nir Lazarovich, \\'Swiatos{\\l}aw R. Gal","submitted_at":"2016-02-28T16:56:52Z","abstract_excerpt":"We prove that groups acting boundedly and order-primitively on linear orders or acting extremly proximality on a Cantor set (the class including various Higman-Thomson groups and Neretin groups of almost automorphisms of regular trees, also called groups of spheromorphisms) are uniformly simple. Explicit bounds are provided."},"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":"1602.08740","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2016-02-28T16:56:52Z","cross_cats_sorted":["math.DS","math.LO"],"title_canon_sha256":"d9c9c40cf2ac2a72ee280dd8fb7e33a3b648f76c126d354bc85ea52b8ca81966","abstract_canon_sha256":"efdaf03d8d27ee3dec97cc8de1aad50548a9ed8cd12b56110367384067725326"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:31.221337Z","signature_b64":"/b/JB8trQXv0NoBW7qaqjnobg8tghA+1iocs3dkHtwP4uCHpOg3/2zTIMtb+HvHE9OFVg0PZYCRwtVGsvijPCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19e9c638bd508bdca2dd2e44baa4066083a998b4f9c4bec28b944175d98879dd","last_reissued_at":"2026-05-18T00:15:31.220615Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:31.220615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Uniform symplicity of groups with proximal action","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.LO"],"primary_cat":"math.GR","authors_text":"Jakub Gismatullin, Nir Lazarovich, \\'Swiatos{\\l}aw R. Gal","submitted_at":"2016-02-28T16:56:52Z","abstract_excerpt":"We prove that groups acting boundedly and order-primitively on linear orders or acting extremly proximality on a Cantor set (the class including various Higman-Thomson groups and Neretin groups of almost automorphisms of regular trees, also called groups of spheromorphisms) are uniformly simple. Explicit bounds are provided."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.08740","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":""},"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":"1602.08740","created_at":"2026-05-18T00:15:31.220737+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.08740v2","created_at":"2026-05-18T00:15:31.220737+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.08740","created_at":"2026-05-18T00:15:31.220737+00:00"},{"alias_kind":"pith_short_12","alias_value":"DHU4MOF5KCF5","created_at":"2026-05-18T12:30:12.583610+00:00"},{"alias_kind":"pith_short_16","alias_value":"DHU4MOF5KCF5ZIW5","created_at":"2026-05-18T12:30:12.583610+00:00"},{"alias_kind":"pith_short_8","alias_value":"DHU4MOF5","created_at":"2026-05-18T12:30:12.583610+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/DHU4MOF5KCF5ZIW5FZCLVJAGMC","json":"https://pith.science/pith/DHU4MOF5KCF5ZIW5FZCLVJAGMC.json","graph_json":"https://pith.science/api/pith-number/DHU4MOF5KCF5ZIW5FZCLVJAGMC/graph.json","events_json":"https://pith.science/api/pith-number/DHU4MOF5KCF5ZIW5FZCLVJAGMC/events.json","paper":"https://pith.science/paper/DHU4MOF5"},"agent_actions":{"view_html":"https://pith.science/pith/DHU4MOF5KCF5ZIW5FZCLVJAGMC","download_json":"https://pith.science/pith/DHU4MOF5KCF5ZIW5FZCLVJAGMC.json","view_paper":"https://pith.science/paper/DHU4MOF5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.08740&json=true","fetch_graph":"https://pith.science/api/pith-number/DHU4MOF5KCF5ZIW5FZCLVJAGMC/graph.json","fetch_events":"https://pith.science/api/pith-number/DHU4MOF5KCF5ZIW5FZCLVJAGMC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DHU4MOF5KCF5ZIW5FZCLVJAGMC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DHU4MOF5KCF5ZIW5FZCLVJAGMC/action/storage_attestation","attest_author":"https://pith.science/pith/DHU4MOF5KCF5ZIW5FZCLVJAGMC/action/author_attestation","sign_citation":"https://pith.science/pith/DHU4MOF5KCF5ZIW5FZCLVJAGMC/action/citation_signature","submit_replication":"https://pith.science/pith/DHU4MOF5KCF5ZIW5FZCLVJAGMC/action/replication_record"}},"created_at":"2026-05-18T00:15:31.220737+00:00","updated_at":"2026-05-18T00:15:31.220737+00:00"}