{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:XIV2F64LJMEO7VBRUV2SIWDOLW","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":"b6c03795aee86e83949d4d4ad9ce807f9d0c077282f4fc847b0dc237f38a1e8c","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-03-22T12:48:47Z","title_canon_sha256":"593b6865d70544de9221280b57fec85f1d7bfbc137e1d2b6fa6340397939743d"},"schema_version":"1.0","source":{"id":"1303.5601","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.5601","created_at":"2026-05-18T03:30:03Z"},{"alias_kind":"arxiv_version","alias_value":"1303.5601v1","created_at":"2026-05-18T03:30:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.5601","created_at":"2026-05-18T03:30:03Z"},{"alias_kind":"pith_short_12","alias_value":"XIV2F64LJMEO","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XIV2F64LJMEO7VBR","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XIV2F64L","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:6f2a32a78f691eb4994b470546664da5238df2192a310d629189be43dc561c94","target":"graph","created_at":"2026-05-18T03:30:03Z","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":"A property of n-vertex graphs is called evasive if every algorithm testing this property by asking questions of the form \"is there an edge between vertices u and v\" requires, in the worst case, to ask about all pairs of vertices. Most \"natural\" graph properties are either evasive or conjectured to be such, and of the few examples of nontrivial nonevasive properties scattered in the literature the smallest one has n=6. We exhibit a nontrivial, nonevasive property of 5-vertex graphs and show that it is essentially the unique such with n at most 5.","authors_text":"Michal Adamaszek","cross_cats":["cs.CC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-03-22T12:48:47Z","title":"The smallest nonevasive graph property"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.5601","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":"sha256:24aadbab7544bedd8f95ddcfd82f0a1ab8b1a1f6846162a3fa0874e8ef508296","target":"record","created_at":"2026-05-18T03:30:03Z","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":"b6c03795aee86e83949d4d4ad9ce807f9d0c077282f4fc847b0dc237f38a1e8c","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-03-22T12:48:47Z","title_canon_sha256":"593b6865d70544de9221280b57fec85f1d7bfbc137e1d2b6fa6340397939743d"},"schema_version":"1.0","source":{"id":"1303.5601","kind":"arxiv","version":1}},"canonical_sha256":"ba2ba2fb8b4b08efd431a57524586e5db8de13517490803b795dc35801ae781f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba2ba2fb8b4b08efd431a57524586e5db8de13517490803b795dc35801ae781f","first_computed_at":"2026-05-18T03:30:03.718523Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:03.718523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eRDFQm0f2s/NpEIcgfkLXD9oSKIUM1l85F4JTEx4LR2MGi0jSH0thqGyntxfAi8zs4mEcdvQxVmgU9nyGiNUDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:03.719144Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.5601","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:24aadbab7544bedd8f95ddcfd82f0a1ab8b1a1f6846162a3fa0874e8ef508296","sha256:6f2a32a78f691eb4994b470546664da5238df2192a310d629189be43dc561c94"],"state_sha256":"7bb2cb39918ef744064c62fcdd0a3939451e6055d8ba49055707306d8527bb19"}