{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:RZJQCWKQROD6RBQ6Y45GWLXJYF","short_pith_number":"pith:RZJQCWKQ","schema_version":"1.0","canonical_sha256":"8e530159508b87e8861ec73a6b2ee9c16044f97c22a95866a7fa751db7bbed6d","source":{"kind":"arxiv","id":"1706.05045","version":1},"attestation_state":"computed","paper":{"title":"Order dividing bijective function from non-cyclic to cyclic groups of same finite order","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Ashley Chen, Austin Allen, Jessica Ding, Piyush Shroff","submitted_at":"2017-06-15T19:00:23Z","abstract_excerpt":"In this article we give an order-dividing bijective function between cyclic and non cyclic groups of finite order. In particular, we prove that there exists a bijective function from D_{2n} to Z_{2n} for any natural integer n; and from Z_p x Z_k to Z_{pk} when p is an odd prime and k is not a multiple of 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":"1706.05045","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-06-15T19:00:23Z","cross_cats_sorted":[],"title_canon_sha256":"b48245ddeb564419e1e96cc61047d85fd0390caef4256541fe613217cb0d3f7b","abstract_canon_sha256":"f278dda7afdfac612bd5de00340a89d68c4927a97bd048834e3f3a865717ec10"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:16.864242Z","signature_b64":"Th88GuuikvuGs/MtC7rMhYhA0MqstXvQu1pb7GGERGWiZ2u/UsMdUOGUhgFyaQ4GNz+hrQJy7IdWhuxKOB84AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e530159508b87e8861ec73a6b2ee9c16044f97c22a95866a7fa751db7bbed6d","last_reissued_at":"2026-05-18T00:42:16.863725Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:16.863725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Order dividing bijective function from non-cyclic to cyclic groups of same finite order","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Ashley Chen, Austin Allen, Jessica Ding, Piyush Shroff","submitted_at":"2017-06-15T19:00:23Z","abstract_excerpt":"In this article we give an order-dividing bijective function between cyclic and non cyclic groups of finite order. In particular, we prove that there exists a bijective function from D_{2n} to Z_{2n} for any natural integer n; and from Z_p x Z_k to Z_{pk} when p is an odd prime and k is not a multiple of p."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.05045","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":"1706.05045","created_at":"2026-05-18T00:42:16.863802+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.05045v1","created_at":"2026-05-18T00:42:16.863802+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.05045","created_at":"2026-05-18T00:42:16.863802+00:00"},{"alias_kind":"pith_short_12","alias_value":"RZJQCWKQROD6","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_16","alias_value":"RZJQCWKQROD6RBQ6","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_8","alias_value":"RZJQCWKQ","created_at":"2026-05-18T12:31:43.269735+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/RZJQCWKQROD6RBQ6Y45GWLXJYF","json":"https://pith.science/pith/RZJQCWKQROD6RBQ6Y45GWLXJYF.json","graph_json":"https://pith.science/api/pith-number/RZJQCWKQROD6RBQ6Y45GWLXJYF/graph.json","events_json":"https://pith.science/api/pith-number/RZJQCWKQROD6RBQ6Y45GWLXJYF/events.json","paper":"https://pith.science/paper/RZJQCWKQ"},"agent_actions":{"view_html":"https://pith.science/pith/RZJQCWKQROD6RBQ6Y45GWLXJYF","download_json":"https://pith.science/pith/RZJQCWKQROD6RBQ6Y45GWLXJYF.json","view_paper":"https://pith.science/paper/RZJQCWKQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.05045&json=true","fetch_graph":"https://pith.science/api/pith-number/RZJQCWKQROD6RBQ6Y45GWLXJYF/graph.json","fetch_events":"https://pith.science/api/pith-number/RZJQCWKQROD6RBQ6Y45GWLXJYF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RZJQCWKQROD6RBQ6Y45GWLXJYF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RZJQCWKQROD6RBQ6Y45GWLXJYF/action/storage_attestation","attest_author":"https://pith.science/pith/RZJQCWKQROD6RBQ6Y45GWLXJYF/action/author_attestation","sign_citation":"https://pith.science/pith/RZJQCWKQROD6RBQ6Y45GWLXJYF/action/citation_signature","submit_replication":"https://pith.science/pith/RZJQCWKQROD6RBQ6Y45GWLXJYF/action/replication_record"}},"created_at":"2026-05-18T00:42:16.863802+00:00","updated_at":"2026-05-18T00:42:16.863802+00:00"}