{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:4DIWASEXSCGNMKCYUIOAXQNK3H","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":"0e8915142bc0576dace7eafd5475e6568a521f06587f3cc71f2d07839335650a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-02-25T04:52:59Z","title_canon_sha256":"6ee29774e66ca635e8298180dd6e1dc2f1ecbc7b5f5e694082cc297d95cd034c"},"schema_version":"1.0","source":{"id":"1102.5156","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.5156","created_at":"2026-05-18T03:52:12Z"},{"alias_kind":"arxiv_version","alias_value":"1102.5156v3","created_at":"2026-05-18T03:52:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.5156","created_at":"2026-05-18T03:52:12Z"},{"alias_kind":"pith_short_12","alias_value":"4DIWASEXSCGN","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4DIWASEXSCGNMKCY","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4DIWASEX","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:2dadd306a390f9be47127b281ae6e2dbf01381f10d14b92330b2541c02029a93","target":"graph","created_at":"2026-05-18T03:52:12Z","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":"Suppose G is a finite group of order 30p, where p is prime. We show that if S is any generating set of G, then there is a hamiltonian cycle in the corresponding Cayley graph Cay(G;S).","authors_text":"Dave Witte Morris, Ebrahim Ghaderpour","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-02-25T04:52:59Z","title":"Cayley graphs of order 30p are hamiltonian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.5156","kind":"arxiv","version":3},"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":"sha256:98dc111fec799dbb595a01cad86ecb6a9286f543e76309bd25983de61f95cc6f","target":"record","created_at":"2026-05-18T03:52:12Z","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":"0e8915142bc0576dace7eafd5475e6568a521f06587f3cc71f2d07839335650a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-02-25T04:52:59Z","title_canon_sha256":"6ee29774e66ca635e8298180dd6e1dc2f1ecbc7b5f5e694082cc297d95cd034c"},"schema_version":"1.0","source":{"id":"1102.5156","kind":"arxiv","version":3}},"canonical_sha256":"e0d1604897908cd62858a21c0bc1aad9d90debf638cc06a0d946e2ace822b00d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e0d1604897908cd62858a21c0bc1aad9d90debf638cc06a0d946e2ace822b00d","first_computed_at":"2026-05-18T03:52:12.499568Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:52:12.499568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qIIe/3oK9BOFqh+/xs30npfhCbQFj3YaYOCLucsGjCuEeyFJjEDq/Gj1Tx4wMRu5ynAMFTJB08EQBHr1kwaECg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:52:12.500406Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.5156","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98dc111fec799dbb595a01cad86ecb6a9286f543e76309bd25983de61f95cc6f","sha256:2dadd306a390f9be47127b281ae6e2dbf01381f10d14b92330b2541c02029a93"],"state_sha256":"1e0a0e8a9774c9976505cae90f43ce63164c4e1b198f929f405d4f65b8d9b71a"}