{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:4JRDBUX7523R6UNJ5RCBE7FWJW","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":"84f6fb5d4d82a38eefbb45b5af75506fe5b2c1b4b2d421ddd8671778f39adb28","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-04-01T05:42:53Z","title_canon_sha256":"20f28de08ee2e459483f429c6965fbbbaa6a8701c562bff3db18377ad2330abf"},"schema_version":"1.0","source":{"id":"1104.0081","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.0081","created_at":"2026-05-18T04:25:04Z"},{"alias_kind":"arxiv_version","alias_value":"1104.0081v2","created_at":"2026-05-18T04:25:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.0081","created_at":"2026-05-18T04:25:04Z"},{"alias_kind":"pith_short_12","alias_value":"4JRDBUX7523R","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4JRDBUX7523R6UNJ","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4JRDBUX7","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:d7818e6b3d6a49188032df61e8ffffc3e76f9baf98d4392b42af0c2794f33341","target":"graph","created_at":"2026-05-18T04:25:04Z","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, such that |G| = 16p, 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, Joy Morris, Stephen J. Curran","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-04-01T05:42:53Z","title":"Cayley graphs of order 16p are hamiltonian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.0081","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":"sha256:8e173bdb2b681d3866525040fe48ef0fb5f1e47fa9a3ce2e4716780581226372","target":"record","created_at":"2026-05-18T04:25:04Z","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":"84f6fb5d4d82a38eefbb45b5af75506fe5b2c1b4b2d421ddd8671778f39adb28","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-04-01T05:42:53Z","title_canon_sha256":"20f28de08ee2e459483f429c6965fbbbaa6a8701c562bff3db18377ad2330abf"},"schema_version":"1.0","source":{"id":"1104.0081","kind":"arxiv","version":2}},"canonical_sha256":"e26230d2ffeeb71f51a9ec44127cb64d98b1882a0084080e459ae3c25fc6465f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e26230d2ffeeb71f51a9ec44127cb64d98b1882a0084080e459ae3c25fc6465f","first_computed_at":"2026-05-18T04:25:04.364340Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:25:04.364340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Cys4B5ex3388MD3i8q4L2i//SBfg0NkojK/mfLYDW8G9tytK/v9jx/Vj6o7j1Ydp2J4+2qBH6xHhyQYjSaAeCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:25:04.364778Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.0081","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e173bdb2b681d3866525040fe48ef0fb5f1e47fa9a3ce2e4716780581226372","sha256:d7818e6b3d6a49188032df61e8ffffc3e76f9baf98d4392b42af0c2794f33341"],"state_sha256":"40cde74afcf7d98dddce2a6e65fa1b528626e29846976545f46ce2264f46bab6"}