{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:4SVQNYQMYZIX7J2Z5RXBRTARYH","short_pith_number":"pith:4SVQNYQM","canonical_record":{"source":{"id":"1507.07848","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2015-07-28T17:01:30Z","cross_cats_sorted":[],"title_canon_sha256":"e0bda186496786b877d5086923b02e18b4f78c77cd8637efa15c67cfd58e095d","abstract_canon_sha256":"b09475056236f0784c291dbef4e7770d63048ee9d4fc85a0df73341b389b5148"},"schema_version":"1.0"},"canonical_sha256":"e4ab06e20cc6517fa759ec6e18cc11c1ed981759a7c88e64c814a1cb8e509928","source":{"kind":"arxiv","id":"1507.07848","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.07848","created_at":"2026-05-18T01:11:18Z"},{"alias_kind":"arxiv_version","alias_value":"1507.07848v2","created_at":"2026-05-18T01:11:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.07848","created_at":"2026-05-18T01:11:18Z"},{"alias_kind":"pith_short_12","alias_value":"4SVQNYQMYZIX","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4SVQNYQMYZIX7J2Z","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4SVQNYQM","created_at":"2026-05-18T12:29:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:4SVQNYQMYZIX7J2Z5RXBRTARYH","target":"record","payload":{"canonical_record":{"source":{"id":"1507.07848","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2015-07-28T17:01:30Z","cross_cats_sorted":[],"title_canon_sha256":"e0bda186496786b877d5086923b02e18b4f78c77cd8637efa15c67cfd58e095d","abstract_canon_sha256":"b09475056236f0784c291dbef4e7770d63048ee9d4fc85a0df73341b389b5148"},"schema_version":"1.0"},"canonical_sha256":"e4ab06e20cc6517fa759ec6e18cc11c1ed981759a7c88e64c814a1cb8e509928","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:18.163943Z","signature_b64":"ijpUxdIV7QbvS3b494xepby7nH5u7GDi+dRv4AAM/zRLCQd62umLVgcCvznbicVu8cWwJrZQ65EWyEGhoeq0DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e4ab06e20cc6517fa759ec6e18cc11c1ed981759a7c88e64c814a1cb8e509928","last_reissued_at":"2026-05-18T01:11:18.163300Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:18.163300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.07848","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:11:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LLT0P5EBEflZj1uT3mrsrPIxDkK9D4cjCEu+riJt/sPIRxCN3uEKoVnLbY3xOKKLkXFM2QOLHgK09erOdc5vCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T09:50:59.654377Z"},"content_sha256":"c4cf3e4486e0b83a511f7f4e49b3a88c3f2de3cba116546518bcd773a9e557d7","schema_version":"1.0","event_id":"sha256:c4cf3e4486e0b83a511f7f4e49b3a88c3f2de3cba116546518bcd773a9e557d7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:4SVQNYQMYZIX7J2Z5RXBRTARYH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Public-key cryptosystem based on invariants of diagonalizable groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CR","authors_text":"Alexandr N. Zubkov, Frantisek Marko, Martin Juras","submitted_at":"2015-07-28T17:01:30Z","abstract_excerpt":"We develop a public key cryptosystem based on invariants of diagonalizable groups and investigate properties of such cryptosystem first over finite fields, then over number fields and finally over finite rings. We consider the security of these cryptosystem and show that it is necessary to restrict the set of parameters of the system to prevent various attacks (including linear algebra attacks and attacks based on Euclidean algorithm)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.07848","kind":"arxiv","version":2},"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":"2026-05-18T01:11:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DsunbvsOQEoDyTLEtehd3Wc03E3EAs6+tab652ZRC1lSKlyNJO7hhoyy3O+ELy6x3MN4Wr2PJFqu0Px8KR9yAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T09:50:59.654719Z"},"content_sha256":"ee76bfe8c000ed58fba00aee32429035ea121384e37754dcc86d55f1771bca3b","schema_version":"1.0","event_id":"sha256:ee76bfe8c000ed58fba00aee32429035ea121384e37754dcc86d55f1771bca3b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4SVQNYQMYZIX7J2Z5RXBRTARYH/bundle.json","state_url":"https://pith.science/pith/4SVQNYQMYZIX7J2Z5RXBRTARYH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4SVQNYQMYZIX7J2Z5RXBRTARYH/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":"2026-06-30T09:50:59Z","links":{"resolver":"https://pith.science/pith/4SVQNYQMYZIX7J2Z5RXBRTARYH","bundle":"https://pith.science/pith/4SVQNYQMYZIX7J2Z5RXBRTARYH/bundle.json","state":"https://pith.science/pith/4SVQNYQMYZIX7J2Z5RXBRTARYH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4SVQNYQMYZIX7J2Z5RXBRTARYH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:4SVQNYQMYZIX7J2Z5RXBRTARYH","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":"b09475056236f0784c291dbef4e7770d63048ee9d4fc85a0df73341b389b5148","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2015-07-28T17:01:30Z","title_canon_sha256":"e0bda186496786b877d5086923b02e18b4f78c77cd8637efa15c67cfd58e095d"},"schema_version":"1.0","source":{"id":"1507.07848","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.07848","created_at":"2026-05-18T01:11:18Z"},{"alias_kind":"arxiv_version","alias_value":"1507.07848v2","created_at":"2026-05-18T01:11:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.07848","created_at":"2026-05-18T01:11:18Z"},{"alias_kind":"pith_short_12","alias_value":"4SVQNYQMYZIX","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4SVQNYQMYZIX7J2Z","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4SVQNYQM","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:ee76bfe8c000ed58fba00aee32429035ea121384e37754dcc86d55f1771bca3b","target":"graph","created_at":"2026-05-18T01:11:18Z","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 develop a public key cryptosystem based on invariants of diagonalizable groups and investigate properties of such cryptosystem first over finite fields, then over number fields and finally over finite rings. We consider the security of these cryptosystem and show that it is necessary to restrict the set of parameters of the system to prevent various attacks (including linear algebra attacks and attacks based on Euclidean algorithm).","authors_text":"Alexandr N. Zubkov, Frantisek Marko, Martin Juras","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2015-07-28T17:01:30Z","title":"Public-key cryptosystem based on invariants of diagonalizable groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.07848","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:c4cf3e4486e0b83a511f7f4e49b3a88c3f2de3cba116546518bcd773a9e557d7","target":"record","created_at":"2026-05-18T01:11:18Z","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":"b09475056236f0784c291dbef4e7770d63048ee9d4fc85a0df73341b389b5148","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2015-07-28T17:01:30Z","title_canon_sha256":"e0bda186496786b877d5086923b02e18b4f78c77cd8637efa15c67cfd58e095d"},"schema_version":"1.0","source":{"id":"1507.07848","kind":"arxiv","version":2}},"canonical_sha256":"e4ab06e20cc6517fa759ec6e18cc11c1ed981759a7c88e64c814a1cb8e509928","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e4ab06e20cc6517fa759ec6e18cc11c1ed981759a7c88e64c814a1cb8e509928","first_computed_at":"2026-05-18T01:11:18.163300Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:18.163300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ijpUxdIV7QbvS3b494xepby7nH5u7GDi+dRv4AAM/zRLCQd62umLVgcCvznbicVu8cWwJrZQ65EWyEGhoeq0DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:18.163943Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.07848","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4cf3e4486e0b83a511f7f4e49b3a88c3f2de3cba116546518bcd773a9e557d7","sha256:ee76bfe8c000ed58fba00aee32429035ea121384e37754dcc86d55f1771bca3b"],"state_sha256":"059c848fa4f9bc5596b814a01cca5ae2ea260920b762c34152d2c816a0f2a12b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5a5hW6FwoEFa9NoOaF7hb69Z2nRjG/YNryHSd1LHqSjvRmDpMbkBDGb8lcDPf3wBza9jSdSbvb/2PHO7gfUwBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T09:50:59.656523Z","bundle_sha256":"96b23a135dc2410d235cb88d0421e796304849fdbd0084bfb17411bc3679f8b0"}}