{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:P23RYCPEFWVBB6CJRZWBZMHIS2","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":"ff69ea368db7ba0f9b5f55faec8be716c1cde400ce5cef6073ce2cf8c24b0792","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2012-10-28T19:15:39Z","title_canon_sha256":"ef4921caddf4d12470cf99c615912207c48bd2c9b7584328dc1818e25d5da547"},"schema_version":"1.0","source":{"id":"1210.7493","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.7493","created_at":"2026-05-18T03:42:09Z"},{"alias_kind":"arxiv_version","alias_value":"1210.7493v1","created_at":"2026-05-18T03:42:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.7493","created_at":"2026-05-18T03:42:09Z"},{"alias_kind":"pith_short_12","alias_value":"P23RYCPEFWVB","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"P23RYCPEFWVBB6CJ","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"P23RYCPE","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:3cd2d1b9d284eff8960017ba91943652839d9734dfb3499db48cd0d2e58d57b0","target":"graph","created_at":"2026-05-18T03:42:09Z","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":"The objective of this work is to survey several digital signatures proposed in the last decade using non-commutative groups and rings and propose a digital signature using non-commutative groups and analyze its security.","authors_text":"Charalambos Koupparis, Delaram Kahrobaei","cross_cats":["math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2012-10-28T19:15:39Z","title":"Non-commutative Digital Signatures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.7493","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:f08206f32e83a5e7ff47e00f802b7623fc88d50c569a899b2f559d26442dbfb8","target":"record","created_at":"2026-05-18T03:42:09Z","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":"ff69ea368db7ba0f9b5f55faec8be716c1cde400ce5cef6073ce2cf8c24b0792","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2012-10-28T19:15:39Z","title_canon_sha256":"ef4921caddf4d12470cf99c615912207c48bd2c9b7584328dc1818e25d5da547"},"schema_version":"1.0","source":{"id":"1210.7493","kind":"arxiv","version":1}},"canonical_sha256":"7eb71c09e42daa10f8498e6c1cb0e896a61828f6e275ece5a8d597a52446c56f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7eb71c09e42daa10f8498e6c1cb0e896a61828f6e275ece5a8d597a52446c56f","first_computed_at":"2026-05-18T03:42:09.795990Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:42:09.795990Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JPXuY8Ublb6QB5LA1VIVCVa/GWs91imIY91A84uJSgQ23U4oHO4o/LqcPgA1d07cazXCfwk85YsWx904exokBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:42:09.796766Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.7493","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f08206f32e83a5e7ff47e00f802b7623fc88d50c569a899b2f559d26442dbfb8","sha256:3cd2d1b9d284eff8960017ba91943652839d9734dfb3499db48cd0d2e58d57b0"],"state_sha256":"f8bcbc299a8ea3b5d4dcc5d54a0b6a7aec7b8507e541b5d6b79e661fcd0b23a6"}