{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:F74S7M34NVW2HTAF3JXX3TKHON","short_pith_number":"pith:F74S7M34","schema_version":"1.0","canonical_sha256":"2ff92fb37c6d6da3cc05da6f7dcd477376e66fd8ad3a09c5e7e1ee09f092935b","source":{"kind":"arxiv","id":"1411.0469","version":1},"attestation_state":"computed","paper":{"title":"Nielsen equivalence in Gupta-Sidki groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Aglaia Myropolska","submitted_at":"2014-11-03T13:00:19Z","abstract_excerpt":"For a group $G$ generated by $k$ elements, the Nielsen equivalence classes are defined as orbits of the action of $\\operatorname{Aut} F_k$, the automorphism group of the free group of rank $k$, on the set of generating $k$-tuples of $G$.\n  Let $p\\geq 3$ be prime and $G_p$ the Gupta-Sidki $p$-group. We prove that there are infinitely many Nielsen equivalence classes on generating pairs of $G_p$."},"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":"1411.0469","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2014-11-03T13:00:19Z","cross_cats_sorted":[],"title_canon_sha256":"a9d5c9bb0b86cf952e3d108b5f7a5c3a71de1a357c6cee9104ad73ec50001e7d","abstract_canon_sha256":"a5a81c24eb6624f2e4170e33b358596d376979140a50f0abd713aa06ba68738b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:45.392428Z","signature_b64":"47+kK0QyjmWNy3mo/sR/MetBeB2sUQaxiLcPwrQysUm2yeEjceEvQpYiJfZ56qcphINa9LK6pX0VmvBLkvEBBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ff92fb37c6d6da3cc05da6f7dcd477376e66fd8ad3a09c5e7e1ee09f092935b","last_reissued_at":"2026-05-18T02:38:45.391903Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:45.391903Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nielsen equivalence in Gupta-Sidki groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Aglaia Myropolska","submitted_at":"2014-11-03T13:00:19Z","abstract_excerpt":"For a group $G$ generated by $k$ elements, the Nielsen equivalence classes are defined as orbits of the action of $\\operatorname{Aut} F_k$, the automorphism group of the free group of rank $k$, on the set of generating $k$-tuples of $G$.\n  Let $p\\geq 3$ be prime and $G_p$ the Gupta-Sidki $p$-group. We prove that there are infinitely many Nielsen equivalence classes on generating pairs of $G_p$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.0469","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":"1411.0469","created_at":"2026-05-18T02:38:45.391988+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.0469v1","created_at":"2026-05-18T02:38:45.391988+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.0469","created_at":"2026-05-18T02:38:45.391988+00:00"},{"alias_kind":"pith_short_12","alias_value":"F74S7M34NVW2","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_16","alias_value":"F74S7M34NVW2HTAF","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_8","alias_value":"F74S7M34","created_at":"2026-05-18T12:28:28.263976+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/F74S7M34NVW2HTAF3JXX3TKHON","json":"https://pith.science/pith/F74S7M34NVW2HTAF3JXX3TKHON.json","graph_json":"https://pith.science/api/pith-number/F74S7M34NVW2HTAF3JXX3TKHON/graph.json","events_json":"https://pith.science/api/pith-number/F74S7M34NVW2HTAF3JXX3TKHON/events.json","paper":"https://pith.science/paper/F74S7M34"},"agent_actions":{"view_html":"https://pith.science/pith/F74S7M34NVW2HTAF3JXX3TKHON","download_json":"https://pith.science/pith/F74S7M34NVW2HTAF3JXX3TKHON.json","view_paper":"https://pith.science/paper/F74S7M34","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.0469&json=true","fetch_graph":"https://pith.science/api/pith-number/F74S7M34NVW2HTAF3JXX3TKHON/graph.json","fetch_events":"https://pith.science/api/pith-number/F74S7M34NVW2HTAF3JXX3TKHON/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F74S7M34NVW2HTAF3JXX3TKHON/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F74S7M34NVW2HTAF3JXX3TKHON/action/storage_attestation","attest_author":"https://pith.science/pith/F74S7M34NVW2HTAF3JXX3TKHON/action/author_attestation","sign_citation":"https://pith.science/pith/F74S7M34NVW2HTAF3JXX3TKHON/action/citation_signature","submit_replication":"https://pith.science/pith/F74S7M34NVW2HTAF3JXX3TKHON/action/replication_record"}},"created_at":"2026-05-18T02:38:45.391988+00:00","updated_at":"2026-05-18T02:38:45.391988+00:00"}