{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:Y4QNXC56AH3VE7TCJ326VEXWTX","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"bcb4194fe4a374a2c39ca92afc800a22efdc7bc0cb7a397e4f0382638f80d04a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-04-05T18:32:32Z","title_canon_sha256":"3285181700629c722c718110deffcfdc291307863ea48ad8f6a46e63c54aac6f"},"schema_version":"1.0","source":{"id":"1304.1782","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.1782","created_at":"2026-05-18T03:28:54Z"},{"alias_kind":"arxiv_version","alias_value":"1304.1782v1","created_at":"2026-05-18T03:28:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.1782","created_at":"2026-05-18T03:28:54Z"},{"alias_kind":"pith_short_12","alias_value":"Y4QNXC56AH3V","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"Y4QNXC56AH3VE7TC","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"Y4QNXC56","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:a7fd2e92a9abf8d94a4b7ebbfe379d2fa40b57ed2533f2e65e593d2fca5ed8fa","target":"graph","created_at":"2026-05-18T03:28:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The residual finiteness growth of a group quantifies how well approximated the group is by its finite quotients. In this paper, we construct groups with arbitrarily large residual finiteness growth. We also demonstrate a new relationship between residual finiteness growth and some decision problems in groups, which we apply to our new groups.","authors_text":"Brandon Seward, Khalid Bou-Rabee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-04-05T18:32:32Z","title":"Arbitrarily Large Residual Finiteness Growth"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.1782","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2aeb821b2760692899d55f81b272ecf318dd97046d4c202c5a9032203fb35781","target":"record","created_at":"2026-05-18T03:28:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"bcb4194fe4a374a2c39ca92afc800a22efdc7bc0cb7a397e4f0382638f80d04a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-04-05T18:32:32Z","title_canon_sha256":"3285181700629c722c718110deffcfdc291307863ea48ad8f6a46e63c54aac6f"},"schema_version":"1.0","source":{"id":"1304.1782","kind":"arxiv","version":1}},"canonical_sha256":"c720db8bbe01f7527e624ef5ea92f69dceb86fb2538b1b28b711a2fe77a8807f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c720db8bbe01f7527e624ef5ea92f69dceb86fb2538b1b28b711a2fe77a8807f","first_computed_at":"2026-05-18T03:28:54.685820Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:28:54.685820Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hj4nZnGm4TJu0jOrNM298WKeyPx7eMGvFE3k4OTfXMFlhgFoMmeEXbWEwb5t2QW50E0rvlrfxZaemhbu7jqhAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:28:54.686567Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.1782","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2aeb821b2760692899d55f81b272ecf318dd97046d4c202c5a9032203fb35781","sha256:a7fd2e92a9abf8d94a4b7ebbfe379d2fa40b57ed2533f2e65e593d2fca5ed8fa"],"state_sha256":"d23a1f8e785a098f8df90c750f639fc4912cc33e8e19220a112821c49054eff6"}