{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:AK6RBRSBW4ORG633E2RBKPCXHY","short_pith_number":"pith:AK6RBRSB","schema_version":"1.0","canonical_sha256":"02bd10c641b71d137b7b26a2153c573e0b22de9b10efd77add02cffdfc5bc0ac","source":{"kind":"arxiv","id":"1008.3579","version":1},"attestation_state":"computed","paper":{"title":"Quantifying residual finiteness of arithmetic groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Khalid Bou-Rabee, Tasho Kaletha","submitted_at":"2010-08-20T21:15:10Z","abstract_excerpt":"The normal Farb growth of a group quantifies how well-approximated the group is by its finite quotients. We show that any S-arithmetic subgroup of a higher rank Chevalley group G has normal Farb growth n^dim(G)."},"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":"1008.3579","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2010-08-20T21:15:10Z","cross_cats_sorted":[],"title_canon_sha256":"482c69a0cfe3a9dd3ee825a2798341e676286d57df6838774e50f3246a3e6eef","abstract_canon_sha256":"c93a569a0a40671a753ac80f57f5b78e9b7d81b76328f70ca363d9401c6ed0a7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:36.917228Z","signature_b64":"ru8I1G7Mmi9dEkmwCNV5psFaygAKqoUuqXkgH6fi2ICGgYo1yeuv1SCdgjtIrzvMO8l6g54whbT+2yWQyUkjBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"02bd10c641b71d137b7b26a2153c573e0b22de9b10efd77add02cffdfc5bc0ac","last_reissued_at":"2026-05-17T23:53:36.916410Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:36.916410Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantifying residual finiteness of arithmetic groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Khalid Bou-Rabee, Tasho Kaletha","submitted_at":"2010-08-20T21:15:10Z","abstract_excerpt":"The normal Farb growth of a group quantifies how well-approximated the group is by its finite quotients. We show that any S-arithmetic subgroup of a higher rank Chevalley group G has normal Farb growth n^dim(G)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.3579","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":"1008.3579","created_at":"2026-05-17T23:53:36.916528+00:00"},{"alias_kind":"arxiv_version","alias_value":"1008.3579v1","created_at":"2026-05-17T23:53:36.916528+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.3579","created_at":"2026-05-17T23:53:36.916528+00:00"},{"alias_kind":"pith_short_12","alias_value":"AK6RBRSBW4OR","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_16","alias_value":"AK6RBRSBW4ORG633","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_8","alias_value":"AK6RBRSB","created_at":"2026-05-18T12:26:05.355336+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/AK6RBRSBW4ORG633E2RBKPCXHY","json":"https://pith.science/pith/AK6RBRSBW4ORG633E2RBKPCXHY.json","graph_json":"https://pith.science/api/pith-number/AK6RBRSBW4ORG633E2RBKPCXHY/graph.json","events_json":"https://pith.science/api/pith-number/AK6RBRSBW4ORG633E2RBKPCXHY/events.json","paper":"https://pith.science/paper/AK6RBRSB"},"agent_actions":{"view_html":"https://pith.science/pith/AK6RBRSBW4ORG633E2RBKPCXHY","download_json":"https://pith.science/pith/AK6RBRSBW4ORG633E2RBKPCXHY.json","view_paper":"https://pith.science/paper/AK6RBRSB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1008.3579&json=true","fetch_graph":"https://pith.science/api/pith-number/AK6RBRSBW4ORG633E2RBKPCXHY/graph.json","fetch_events":"https://pith.science/api/pith-number/AK6RBRSBW4ORG633E2RBKPCXHY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AK6RBRSBW4ORG633E2RBKPCXHY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AK6RBRSBW4ORG633E2RBKPCXHY/action/storage_attestation","attest_author":"https://pith.science/pith/AK6RBRSBW4ORG633E2RBKPCXHY/action/author_attestation","sign_citation":"https://pith.science/pith/AK6RBRSBW4ORG633E2RBKPCXHY/action/citation_signature","submit_replication":"https://pith.science/pith/AK6RBRSBW4ORG633E2RBKPCXHY/action/replication_record"}},"created_at":"2026-05-17T23:53:36.916528+00:00","updated_at":"2026-05-17T23:53:36.916528+00:00"}