{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:6HIG372EEQTOHGRZ4OQ5WPR7IM","short_pith_number":"pith:6HIG372E","canonical_record":{"source":{"id":"1203.6686","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2012-03-29T23:31:16Z","cross_cats_sorted":[],"title_canon_sha256":"706089e13c27cb5704bc50677e618a7f828498b3dc222c6dca03333f6aeb7556","abstract_canon_sha256":"9dc1f6567ab8b4558cb568522da6767cc08942dde61d04915bce3e3744766a8a"},"schema_version":"1.0"},"canonical_sha256":"f1d06dff442426e39a39e3a1db3e3f43039a997f65dda5efc7d94ca25983a974","source":{"kind":"arxiv","id":"1203.6686","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.6686","created_at":"2026-05-18T03:59:00Z"},{"alias_kind":"arxiv_version","alias_value":"1203.6686v1","created_at":"2026-05-18T03:59:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.6686","created_at":"2026-05-18T03:59:00Z"},{"alias_kind":"pith_short_12","alias_value":"6HIG372EEQTO","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6HIG372EEQTOHGRZ","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6HIG372E","created_at":"2026-05-18T12:26:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:6HIG372EEQTOHGRZ4OQ5WPR7IM","target":"record","payload":{"canonical_record":{"source":{"id":"1203.6686","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2012-03-29T23:31:16Z","cross_cats_sorted":[],"title_canon_sha256":"706089e13c27cb5704bc50677e618a7f828498b3dc222c6dca03333f6aeb7556","abstract_canon_sha256":"9dc1f6567ab8b4558cb568522da6767cc08942dde61d04915bce3e3744766a8a"},"schema_version":"1.0"},"canonical_sha256":"f1d06dff442426e39a39e3a1db3e3f43039a997f65dda5efc7d94ca25983a974","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:59:00.987356Z","signature_b64":"/bNyT3SIXFVDerOY8t/hPygvjqqci8eZy4+ZkEgvj/6RqaOU8J51vxjzwLn1lXohQxeWVhWaxXdQE7TxMR5qBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1d06dff442426e39a39e3a1db3e3f43039a997f65dda5efc7d94ca25983a974","last_reissued_at":"2026-05-18T03:59:00.986694Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:59:00.986694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.6686","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:59:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kfNgR+FaHhyeJz7W9SaecqzUpbTTy9zevFF6Rkyn4tgOZRlfcWzqh86ddt6MYAE/02QepUtMcgFCdlTa+XzvAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T05:14:59.618337Z"},"content_sha256":"7429c5d6284a45512f3d475f8a751f43113aadf532e7f3916ac125bdb7dbd10d","schema_version":"1.0","event_id":"sha256:7429c5d6284a45512f3d475f8a751f43113aadf532e7f3916ac125bdb7dbd10d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:6HIG372EEQTOHGRZ4OQ5WPR7IM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Distinguisher-Based Attack of a Homomorphic Encryption Scheme Relying on Reed-Solomon Codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CR","authors_text":"Ayoub Otmani, Jean-Pierre Tillich, Val\\'erie Gauthier","submitted_at":"2012-03-29T23:31:16Z","abstract_excerpt":"Bogdanov and Lee suggested a homomorphic public-key encryption scheme based on error correcting codes. The underlying public code is a modified Reed-Solomon code obtained from inserting a zero submatrix in the Vandermonde generating matrix defining it. The columns that define this submatrix are kept secret and form a set $L$. We give here a distinguisher that detects if one or several columns belong to $L$ or not. This distinguisher is obtained by considering the code generated by component-wise products of codewords of the public code (the so called \"square code\"). This operation is applied t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.6686","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:59:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GTrwWURpgql68VbW1K1QlIHmNOd+8CbeJEUctxluHl/gKOodn6gQpXXmmhS9koBtew64f4g1UvBuh9RIPyGdBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T05:14:59.618690Z"},"content_sha256":"a5f26ec0421bc0571d1633d967b0d2abc93273b7d01e447ba5a81b9078a37ab1","schema_version":"1.0","event_id":"sha256:a5f26ec0421bc0571d1633d967b0d2abc93273b7d01e447ba5a81b9078a37ab1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6HIG372EEQTOHGRZ4OQ5WPR7IM/bundle.json","state_url":"https://pith.science/pith/6HIG372EEQTOHGRZ4OQ5WPR7IM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6HIG372EEQTOHGRZ4OQ5WPR7IM/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-07T05:14:59Z","links":{"resolver":"https://pith.science/pith/6HIG372EEQTOHGRZ4OQ5WPR7IM","bundle":"https://pith.science/pith/6HIG372EEQTOHGRZ4OQ5WPR7IM/bundle.json","state":"https://pith.science/pith/6HIG372EEQTOHGRZ4OQ5WPR7IM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6HIG372EEQTOHGRZ4OQ5WPR7IM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:6HIG372EEQTOHGRZ4OQ5WPR7IM","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":"9dc1f6567ab8b4558cb568522da6767cc08942dde61d04915bce3e3744766a8a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2012-03-29T23:31:16Z","title_canon_sha256":"706089e13c27cb5704bc50677e618a7f828498b3dc222c6dca03333f6aeb7556"},"schema_version":"1.0","source":{"id":"1203.6686","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.6686","created_at":"2026-05-18T03:59:00Z"},{"alias_kind":"arxiv_version","alias_value":"1203.6686v1","created_at":"2026-05-18T03:59:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.6686","created_at":"2026-05-18T03:59:00Z"},{"alias_kind":"pith_short_12","alias_value":"6HIG372EEQTO","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6HIG372EEQTOHGRZ","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6HIG372E","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:a5f26ec0421bc0571d1633d967b0d2abc93273b7d01e447ba5a81b9078a37ab1","target":"graph","created_at":"2026-05-18T03:59:00Z","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":"Bogdanov and Lee suggested a homomorphic public-key encryption scheme based on error correcting codes. The underlying public code is a modified Reed-Solomon code obtained from inserting a zero submatrix in the Vandermonde generating matrix defining it. The columns that define this submatrix are kept secret and form a set $L$. We give here a distinguisher that detects if one or several columns belong to $L$ or not. This distinguisher is obtained by considering the code generated by component-wise products of codewords of the public code (the so called \"square code\"). This operation is applied t","authors_text":"Ayoub Otmani, Jean-Pierre Tillich, Val\\'erie Gauthier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2012-03-29T23:31:16Z","title":"A Distinguisher-Based Attack of a Homomorphic Encryption Scheme Relying on Reed-Solomon Codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.6686","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":"sha256:7429c5d6284a45512f3d475f8a751f43113aadf532e7f3916ac125bdb7dbd10d","target":"record","created_at":"2026-05-18T03:59:00Z","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":"9dc1f6567ab8b4558cb568522da6767cc08942dde61d04915bce3e3744766a8a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2012-03-29T23:31:16Z","title_canon_sha256":"706089e13c27cb5704bc50677e618a7f828498b3dc222c6dca03333f6aeb7556"},"schema_version":"1.0","source":{"id":"1203.6686","kind":"arxiv","version":1}},"canonical_sha256":"f1d06dff442426e39a39e3a1db3e3f43039a997f65dda5efc7d94ca25983a974","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1d06dff442426e39a39e3a1db3e3f43039a997f65dda5efc7d94ca25983a974","first_computed_at":"2026-05-18T03:59:00.986694Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:59:00.986694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/bNyT3SIXFVDerOY8t/hPygvjqqci8eZy4+ZkEgvj/6RqaOU8J51vxjzwLn1lXohQxeWVhWaxXdQE7TxMR5qBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:59:00.987356Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.6686","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7429c5d6284a45512f3d475f8a751f43113aadf532e7f3916ac125bdb7dbd10d","sha256:a5f26ec0421bc0571d1633d967b0d2abc93273b7d01e447ba5a81b9078a37ab1"],"state_sha256":"ad4b0b82acb8d230100686532da97acaef5461757b9d2341191b42f2803d95a5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T7Ed8TNQYIDs85NTCKcztJDIIt8Bk3ddsFBJRFzJWKf1xkDFCI4R3uPw26WosvNFfIZAKgUDm3ynXDwGvEVcCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T05:14:59.620834Z","bundle_sha256":"fbd1446d8477997ab16297daafb48af66bc813396a85ecab11744aff8b3e6ccc"}}