{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BN5L6GP2J6AQM6HS543RIHMH6G","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":"031d171e5e1896553b2cf79936b3f127f541cf83ca5741b5b63339648ee49583","cross_cats_sorted":["math.GR","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-09-03T11:04:34Z","title_canon_sha256":"3ef51f509bc0ec3c37f18dca039a90e9b0b8ec4f217e314150e5ee13053774bc"},"schema_version":"1.0","source":{"id":"1709.00696","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.00696","created_at":"2026-05-18T00:36:05Z"},{"alias_kind":"arxiv_version","alias_value":"1709.00696v1","created_at":"2026-05-18T00:36:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.00696","created_at":"2026-05-18T00:36:05Z"},{"alias_kind":"pith_short_12","alias_value":"BN5L6GP2J6AQ","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BN5L6GP2J6AQM6HS","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BN5L6GP2","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:2a072fa91b3ff0c0e9a738aa7f9a2cec1a171b115be19f8c60428e1b97e4dd5e","target":"graph","created_at":"2026-05-18T00:36:05Z","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 propose a generalization of an RSA-like scheme based on R\\'edei rational functions over the Pell hyperbola. Instead of a modulus which is a product of two primes, we define the scheme on a multi-factor modulus, i.e. on a product of more than two primes. This results in a scheme with a decryption which is quadratically faster, in the number of primes factoring the modulus, than the original RSA, while preserving a better security. The scheme reaches its best efficiency advantage over RSA for high security levels, since in these cases the modulus can contain more primes. Compared to the analo","authors_text":"Emanuele Bellini, Nadir Murru","cross_cats":["math.GR","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-09-03T11:04:34Z","title":"A multifactor RSA-like scheme with fast decryption based on R\\'edei rational functions over the Pell hyperbola"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.00696","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":"sha256:7435fbfea03d5616c1dfa9a90172682f16dda962772ab062b21f4f2e3358ae46","target":"record","created_at":"2026-05-18T00:36:05Z","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":"031d171e5e1896553b2cf79936b3f127f541cf83ca5741b5b63339648ee49583","cross_cats_sorted":["math.GR","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-09-03T11:04:34Z","title_canon_sha256":"3ef51f509bc0ec3c37f18dca039a90e9b0b8ec4f217e314150e5ee13053774bc"},"schema_version":"1.0","source":{"id":"1709.00696","kind":"arxiv","version":1}},"canonical_sha256":"0b7abf19fa4f810678f2ef37141d87f184df720cbcf6cc2950b3a318fd5d377f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b7abf19fa4f810678f2ef37141d87f184df720cbcf6cc2950b3a318fd5d377f","first_computed_at":"2026-05-18T00:36:05.385694Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:05.385694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XupqDaoIds13oJvxWUf9Q/8TCe/qo1siMpJkj4Losfe3QnCJz1pI5R+UcYT2HPSigB66Yy1R6kd76ypO8MLEAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:05.386190Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.00696","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7435fbfea03d5616c1dfa9a90172682f16dda962772ab062b21f4f2e3358ae46","sha256:2a072fa91b3ff0c0e9a738aa7f9a2cec1a171b115be19f8c60428e1b97e4dd5e"],"state_sha256":"fb3562727afd0bebb6dca39226cf6b777f2df56c6d809f8e3c9491efbc3889fc"}