{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:I6JF7CDPVR37R6JOMAAG4EATNP","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":"2d0b79fa9333ddc8bf584041e7a1c1ca96c9b0938af7fd155ed21a00e85f9c2d","cross_cats_sorted":["cs.CR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-05-23T09:34:05Z","title_canon_sha256":"b4be67d7a4d78f8e9915b8c84f5cff21cc7825401765ec9ffd71a229ad336ef9"},"schema_version":"1.0","source":{"id":"1705.08151","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.08151","created_at":"2026-05-18T00:15:42Z"},{"alias_kind":"arxiv_version","alias_value":"1705.08151v2","created_at":"2026-05-18T00:15:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.08151","created_at":"2026-05-18T00:15:42Z"},{"alias_kind":"pith_short_12","alias_value":"I6JF7CDPVR37","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"I6JF7CDPVR37R6JO","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"I6JF7CDP","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:cb268d941f29efe6f8498fdaf49f8f8a899f8ee91876a31928a837f0fbb4d127","target":"graph","created_at":"2026-05-18T00:15:42Z","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 provide sufficient conditions to guarantee that a translation based cipher is not vulnerable with respect to the partition-based trapdoor. This trapdoor has been introduced, recently, by Bannier et al. (2016) and it generalizes that introduced by Paterson in 1999. Moreover, we discuss the fact that studying the group generated by the round functions of a block cipher may not be sufficient to guarantee security against these trapdoors for the cipher.","authors_text":"Marco Calderini","cross_cats":["cs.CR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-05-23T09:34:05Z","title":"A note on some algebraic trapdoors for block ciphers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.08151","kind":"arxiv","version":2},"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:f9bd78ac3c1fe0fb2cd8379a28281fa0baf3c763614f94a7f86fb37ddae88eae","target":"record","created_at":"2026-05-18T00:15:42Z","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":"2d0b79fa9333ddc8bf584041e7a1c1ca96c9b0938af7fd155ed21a00e85f9c2d","cross_cats_sorted":["cs.CR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-05-23T09:34:05Z","title_canon_sha256":"b4be67d7a4d78f8e9915b8c84f5cff21cc7825401765ec9ffd71a229ad336ef9"},"schema_version":"1.0","source":{"id":"1705.08151","kind":"arxiv","version":2}},"canonical_sha256":"47925f886fac77f8f92e60006e10136be77a67981cc0c20c582ea8d7a911b14e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47925f886fac77f8f92e60006e10136be77a67981cc0c20c582ea8d7a911b14e","first_computed_at":"2026-05-18T00:15:42.932964Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:42.932964Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TpWjJUSQIPXMIY6bkQ4+b2P2e5UMR05e0od6g0CyvDJCYtqVG8x/a34trl51qPJkDEA/fTifPcGf27t1beBlCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:42.933486Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.08151","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9bd78ac3c1fe0fb2cd8379a28281fa0baf3c763614f94a7f86fb37ddae88eae","sha256:cb268d941f29efe6f8498fdaf49f8f8a899f8ee91876a31928a837f0fbb4d127"],"state_sha256":"c6da3a77d7f9ceb6caf584ebddc86a0ce1d34c5a475e91119f4a026aa5b58b3f"}