{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ERS3QZ7AJAO7NV66NP7IUAHQZJ","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":"0475abfe1ffefdf7b79ee462025dc409868d1350d0189b7c8dd77845ca15227e","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2012-10-31T09:03:58Z","title_canon_sha256":"d646ace941fd2e7801a27ab4ec3a3ebf2b15187d5e47d19238f2c6fd3df79611"},"schema_version":"1.0","source":{"id":"1210.8270","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.8270","created_at":"2026-05-18T03:41:55Z"},{"alias_kind":"arxiv_version","alias_value":"1210.8270v1","created_at":"2026-05-18T03:41:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.8270","created_at":"2026-05-18T03:41:55Z"},{"alias_kind":"pith_short_12","alias_value":"ERS3QZ7AJAO7","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"ERS3QZ7AJAO7NV66","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"ERS3QZ7A","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:cd8f6238053a964de64a96e859e17b44f3641946bb321309d7f12f515fe3f2f1","target":"graph","created_at":"2026-05-18T03:41:55Z","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":"We introduce a generalized Anshel-Anshel-Goldfeld (AAG) key establishment protocol (KEP) for magmas. This leads to the foundation of non-associative public-key cryptography (PKC), generalizing the concept of non-commutative PKC. We show that left selfdistributive systems appear in a natural special case of a generalized AAG-KEP for magmas, and we propose, among others instances, concrete realizations using $f$-conjugacy in groups and shifted conjugacy in braid groups. We discuss the advantages of our schemes compared with the classical AAG-KEP based on conjugacy in braid groups.","authors_text":"Arkadius Kalka","cross_cats":["math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2012-10-31T09:03:58Z","title":"Non-associative public-key cryptography"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.8270","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":"sha256:6f9dcb97e11c233882dfc8d694a315778ba538929d18b68679918d06893587df","target":"record","created_at":"2026-05-18T03:41:55Z","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":"0475abfe1ffefdf7b79ee462025dc409868d1350d0189b7c8dd77845ca15227e","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2012-10-31T09:03:58Z","title_canon_sha256":"d646ace941fd2e7801a27ab4ec3a3ebf2b15187d5e47d19238f2c6fd3df79611"},"schema_version":"1.0","source":{"id":"1210.8270","kind":"arxiv","version":1}},"canonical_sha256":"2465b867e0481df6d7de6bfe8a00f0ca6ab6350411cfef795b2d9b41f430e3aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2465b867e0481df6d7de6bfe8a00f0ca6ab6350411cfef795b2d9b41f430e3aa","first_computed_at":"2026-05-18T03:41:55.486016Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:55.486016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8oZxT+ihc+ITC1RrxGps3tJAG8KHBQrMajO6CGuNChIFi02FY46YhPZWowDFUtPaxcFOlNFTw7iM6kIyFWNtCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:55.486726Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.8270","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f9dcb97e11c233882dfc8d694a315778ba538929d18b68679918d06893587df","sha256:cd8f6238053a964de64a96e859e17b44f3641946bb321309d7f12f515fe3f2f1"],"state_sha256":"553b8e92a9cabaaa907f5d82d64c3665517761b8874e2c59a67041ee570e4405"}