{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:BRTTYQQ3LOBLCEYEMGZU2KARHP","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":"1fa0949e8959f3806910a8b8c213274059e26b1408a7c17d0a843ee85448afc6","cross_cats_sorted":["cs.DM","cs.IT","math.CO","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2010-10-02T00:30:10Z","title_canon_sha256":"867be95e8d5b83430533bb4183e0b131d28973308e3cd5ce4db4014e9eed8dba"},"schema_version":"1.0","source":{"id":"1010.0280","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.0280","created_at":"2026-05-18T04:39:58Z"},{"alias_kind":"arxiv_version","alias_value":"1010.0280v1","created_at":"2026-05-18T04:39:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.0280","created_at":"2026-05-18T04:39:58Z"},{"alias_kind":"pith_short_12","alias_value":"BRTTYQQ3LOBL","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"BRTTYQQ3LOBLCEYE","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"BRTTYQQ3","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:22d21d968c981b2ea334c8d000c50d887106e27379514a58a31abfddce08be34","target":"graph","created_at":"2026-05-18T04:39:58Z","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 consider the problem of constructing optimal authentication codes with splitting. New infinite families of such codes are obtained. In particular, we establish the first known infinite family of optimal authentication codes with splitting that are secure against spoofing attacks of order two.","authors_text":"Hui Zhang, Xiande Zhang, Yeow Meng Chee","cross_cats":["cs.DM","cs.IT","math.CO","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2010-10-02T00:30:10Z","title":"Infinite Families of Optimal Splitting Authentication Codes Secure Against Spoofing Attacks of Higher Order"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.0280","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":"sha256:25e8dace0e99d95bbc1c115944e3edcfc56af3235677a7f8b5502af60b792ce4","target":"record","created_at":"2026-05-18T04:39:58Z","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":"1fa0949e8959f3806910a8b8c213274059e26b1408a7c17d0a843ee85448afc6","cross_cats_sorted":["cs.DM","cs.IT","math.CO","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2010-10-02T00:30:10Z","title_canon_sha256":"867be95e8d5b83430533bb4183e0b131d28973308e3cd5ce4db4014e9eed8dba"},"schema_version":"1.0","source":{"id":"1010.0280","kind":"arxiv","version":1}},"canonical_sha256":"0c673c421b5b82b1130461b34d28113bd04619e60e28758724e22d4119b9a02d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c673c421b5b82b1130461b34d28113bd04619e60e28758724e22d4119b9a02d","first_computed_at":"2026-05-18T04:39:58.757110Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:39:58.757110Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/XviGQESyzz/JVhNiTD0J8oc+tCJXEfaEPHoxx6+0K6n1/wWR/6XCexnIbg8kF6im+QkXZ5AtvrvyYXLnDB2Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:39:58.757742Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.0280","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25e8dace0e99d95bbc1c115944e3edcfc56af3235677a7f8b5502af60b792ce4","sha256:22d21d968c981b2ea334c8d000c50d887106e27379514a58a31abfddce08be34"],"state_sha256":"048fdf49f17d862091295e4f94a01ec4ba2701e3b04ec057bb1455f1e35fc8a2"}