{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:DDCY6M33TDVVJ3NEUL2T3VXWVN","short_pith_number":"pith:DDCY6M33","schema_version":"1.0","canonical_sha256":"18c58f337b98eb54eda4a2f53dd6f6ab5ea1e98fca3085c97af3bb3ec6696525","source":{"kind":"arxiv","id":"1605.06608","version":1},"attestation_state":"computed","paper":{"title":"Public Key Encryption in Non-Abelian Groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CR","authors_text":"Haibo Hong, Haseeb Ahmad, Jun Shao, Licheng Wang, Yixian Yang","submitted_at":"2016-05-21T09:01:14Z","abstract_excerpt":"In this paper, we propose a brand new public key encryption scheme in the Lie group that is a non-abelian group. In particular, we firstly investigate the intractability assumptions in the Lie group, including the non-abelian factoring assumption and non-abelian inserting assumption. After that, by using the FO technique, a CCA secure public key encryption scheme in the Lie group is proposed. At last, we present the security proof in the random oracle based on the non-abelian inserting assumption."},"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":"1605.06608","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2016-05-21T09:01:14Z","cross_cats_sorted":[],"title_canon_sha256":"c768d65bb23e3c76eca861a83b2cc8b43cb63b97b43d16aae3c6543f1015a9ce","abstract_canon_sha256":"12e5559a4fa1e2cad6c95191dc6b86c474e01cff03d152ca5ae9d767da0bb201"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:14:11.756624Z","signature_b64":"khxlvclIKk7Wr8D+t5W6xKPpsi5C25UOw7+eXchOQatCv/Sbq9Q2lExTiWpw38htpsMLY/ZZnZ21unvWLf7qAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"18c58f337b98eb54eda4a2f53dd6f6ab5ea1e98fca3085c97af3bb3ec6696525","last_reissued_at":"2026-05-18T01:14:11.755940Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:14:11.755940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Public Key Encryption in Non-Abelian Groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CR","authors_text":"Haibo Hong, Haseeb Ahmad, Jun Shao, Licheng Wang, Yixian Yang","submitted_at":"2016-05-21T09:01:14Z","abstract_excerpt":"In this paper, we propose a brand new public key encryption scheme in the Lie group that is a non-abelian group. In particular, we firstly investigate the intractability assumptions in the Lie group, including the non-abelian factoring assumption and non-abelian inserting assumption. After that, by using the FO technique, a CCA secure public key encryption scheme in the Lie group is proposed. At last, we present the security proof in the random oracle based on the non-abelian inserting assumption."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.06608","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":"1605.06608","created_at":"2026-05-18T01:14:11.756037+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.06608v1","created_at":"2026-05-18T01:14:11.756037+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.06608","created_at":"2026-05-18T01:14:11.756037+00:00"},{"alias_kind":"pith_short_12","alias_value":"DDCY6M33TDVV","created_at":"2026-05-18T12:30:12.583610+00:00"},{"alias_kind":"pith_short_16","alias_value":"DDCY6M33TDVVJ3NE","created_at":"2026-05-18T12:30:12.583610+00:00"},{"alias_kind":"pith_short_8","alias_value":"DDCY6M33","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/DDCY6M33TDVVJ3NEUL2T3VXWVN","json":"https://pith.science/pith/DDCY6M33TDVVJ3NEUL2T3VXWVN.json","graph_json":"https://pith.science/api/pith-number/DDCY6M33TDVVJ3NEUL2T3VXWVN/graph.json","events_json":"https://pith.science/api/pith-number/DDCY6M33TDVVJ3NEUL2T3VXWVN/events.json","paper":"https://pith.science/paper/DDCY6M33"},"agent_actions":{"view_html":"https://pith.science/pith/DDCY6M33TDVVJ3NEUL2T3VXWVN","download_json":"https://pith.science/pith/DDCY6M33TDVVJ3NEUL2T3VXWVN.json","view_paper":"https://pith.science/paper/DDCY6M33","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.06608&json=true","fetch_graph":"https://pith.science/api/pith-number/DDCY6M33TDVVJ3NEUL2T3VXWVN/graph.json","fetch_events":"https://pith.science/api/pith-number/DDCY6M33TDVVJ3NEUL2T3VXWVN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DDCY6M33TDVVJ3NEUL2T3VXWVN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DDCY6M33TDVVJ3NEUL2T3VXWVN/action/storage_attestation","attest_author":"https://pith.science/pith/DDCY6M33TDVVJ3NEUL2T3VXWVN/action/author_attestation","sign_citation":"https://pith.science/pith/DDCY6M33TDVVJ3NEUL2T3VXWVN/action/citation_signature","submit_replication":"https://pith.science/pith/DDCY6M33TDVVJ3NEUL2T3VXWVN/action/replication_record"}},"created_at":"2026-05-18T01:14:11.756037+00:00","updated_at":"2026-05-18T01:14:11.756037+00:00"}