{"paper":{"title":"The Curious Case of Reversible Elementary Second Order Cellular Automaton 115","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.CO","math.DS"],"primary_cat":"cs.DM","authors_text":"Birla Institute of Technology, Engineering, Enrico Formenti (Universit\\'e C\\^ote d'Azur, France), India), Mesra, Ranchi, Supreeti Kamylia (Department of Computer Science","submitted_at":"2026-06-11T10:28:27Z","abstract_excerpt":"We prove that the reversible elementary second order cellular automaton rule 115 is periodic when started on finite initial configurations.  We also study some families of finite configurations that have interesting period functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.13159","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.13159/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}