{"paper":{"title":"\"Secret Santa\" and the Combined Length of Spanned Cycles in a Random Permutation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Yannai A. Gonczarowski","submitted_at":"2013-07-16T16:07:36Z","abstract_excerpt":"In many schools throughout the United States, it is customary to hold a yearly \"Secret Santa\" event. With the approach of Christmas, all the students place their names in a hat; each student, in turn, draws a name out of the hat, thus becoming Secret Santa to the student whose name is drawn. On the day before Christmas break, each student places a gift in front of the locker of the student to whom she or he is Secret Santa.\n  Unfortunately, children being children, some students might forget to bring gifts on this day. Students who do not find gifts next to their lockers, feeling cheated, angr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4322","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}