{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:ZAC4ZHARZDI5ZI3SFFDAXK5EU2","short_pith_number":"pith:ZAC4ZHAR","schema_version":"1.0","canonical_sha256":"c805cc9c11c8d1dca37229460baba4a699b2399734224da68612a56d6ca4a525","source":{"kind":"arxiv","id":"1307.4938","version":1},"attestation_state":"computed","paper":{"title":"Computational Universality and 1/f Noise in Elementary Cellular Automata","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.OH"],"primary_cat":"nlin.CG","authors_text":"Shigeru Ninagawa","submitted_at":"2013-07-18T13:34:54Z","abstract_excerpt":"It is speculated that there is a relationship between 1/f noise and computational universality in cellular automata. We use genetic algorithms to search for one-dimensional and two-state, five-neighbor cellular automata which have 1/f-type spectrum. A power spectrum is calculated from the evolution starting from a random initial configuration. The fitness is estimated from the power spectrum in consideration of the similarity to 1/f-type spectrum. The result shows that the rule with the highest average fitness has a propagating structure like other computationally universal cellular automata, "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1307.4938","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CG","submitted_at":"2013-07-18T13:34:54Z","cross_cats_sorted":["cs.OH"],"title_canon_sha256":"9d87fa28c00593d8a7ab000f315ff683a8e36c7416c73abb5c8ad3a8ed1ab6a4","abstract_canon_sha256":"1dc6c5edff86cf8c63a1343c67e78ad57c60104adab22f0224b1f905a5ef8149"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:18:07.135914Z","signature_b64":"Z6oDy2/RfZCRvkoWso4kUk7pMPpQfNT1hXCbDxjauUgCgptktxi8BmioQn02Z2Jk4L0/vswf5703uQrP3ycuDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c805cc9c11c8d1dca37229460baba4a699b2399734224da68612a56d6ca4a525","last_reissued_at":"2026-05-18T03:18:07.135235Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:18:07.135235Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Computational Universality and 1/f Noise in Elementary Cellular Automata","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.OH"],"primary_cat":"nlin.CG","authors_text":"Shigeru Ninagawa","submitted_at":"2013-07-18T13:34:54Z","abstract_excerpt":"It is speculated that there is a relationship between 1/f noise and computational universality in cellular automata. We use genetic algorithms to search for one-dimensional and two-state, five-neighbor cellular automata which have 1/f-type spectrum. A power spectrum is calculated from the evolution starting from a random initial configuration. The fitness is estimated from the power spectrum in consideration of the similarity to 1/f-type spectrum. The result shows that the rule with the highest average fitness has a propagating structure like other computationally universal cellular automata, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4938","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1307.4938","created_at":"2026-05-18T03:18:07.135360+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.4938v1","created_at":"2026-05-18T03:18:07.135360+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4938","created_at":"2026-05-18T03:18:07.135360+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZAC4ZHARZDI5","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZAC4ZHARZDI5ZI3S","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZAC4ZHAR","created_at":"2026-05-18T12:28:09.283467+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZAC4ZHARZDI5ZI3SFFDAXK5EU2","json":"https://pith.science/pith/ZAC4ZHARZDI5ZI3SFFDAXK5EU2.json","graph_json":"https://pith.science/api/pith-number/ZAC4ZHARZDI5ZI3SFFDAXK5EU2/graph.json","events_json":"https://pith.science/api/pith-number/ZAC4ZHARZDI5ZI3SFFDAXK5EU2/events.json","paper":"https://pith.science/paper/ZAC4ZHAR"},"agent_actions":{"view_html":"https://pith.science/pith/ZAC4ZHARZDI5ZI3SFFDAXK5EU2","download_json":"https://pith.science/pith/ZAC4ZHARZDI5ZI3SFFDAXK5EU2.json","view_paper":"https://pith.science/paper/ZAC4ZHAR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.4938&json=true","fetch_graph":"https://pith.science/api/pith-number/ZAC4ZHARZDI5ZI3SFFDAXK5EU2/graph.json","fetch_events":"https://pith.science/api/pith-number/ZAC4ZHARZDI5ZI3SFFDAXK5EU2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZAC4ZHARZDI5ZI3SFFDAXK5EU2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZAC4ZHARZDI5ZI3SFFDAXK5EU2/action/storage_attestation","attest_author":"https://pith.science/pith/ZAC4ZHARZDI5ZI3SFFDAXK5EU2/action/author_attestation","sign_citation":"https://pith.science/pith/ZAC4ZHARZDI5ZI3SFFDAXK5EU2/action/citation_signature","submit_replication":"https://pith.science/pith/ZAC4ZHARZDI5ZI3SFFDAXK5EU2/action/replication_record"}},"created_at":"2026-05-18T03:18:07.135360+00:00","updated_at":"2026-05-18T03:18:07.135360+00:00"}