{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:PFXA3VCFVWJMLPRJJO3QKBA5Z2","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":"ebb072861fc7783d8b08241c9e4ca327e7714a121d07bbc6241b9a3df63df7d3","cross_cats_sorted":["nlin.CG"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.FL","submitted_at":"2011-08-05T22:06:40Z","title_canon_sha256":"d59cfdd47f4a107deb47c4841320b33390d5465be7c9749865c330332eeea132"},"schema_version":"1.0","source":{"id":"1108.1419","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.1419","created_at":"2026-05-18T04:16:01Z"},{"alias_kind":"arxiv_version","alias_value":"1108.1419v1","created_at":"2026-05-18T04:16:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.1419","created_at":"2026-05-18T04:16:01Z"},{"alias_kind":"pith_short_12","alias_value":"PFXA3VCFVWJM","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PFXA3VCFVWJMLPRJ","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PFXA3VCF","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:4f56df87cdba84c6a3a439f68d131ae8d29af7b401188f89110ef7414b53409d","target":"graph","created_at":"2026-05-18T04:16:01Z","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":"In this paper we study $\\nu$-CA on one-dimensional lattice defined over a finite set of local rules. The main goal is to determine how the local rules can be mixed to ensure the produced $\\nu$-CA has some properties. In a first part, we give some background for the study of $\\nu$-CA. Then surjectivity and injectivity are studied using a variant of DeBruijn graphs. The next part is dedicated to the number-conserving property.","authors_text":"Alberto Dennunzio, Enrico Formenti, Julien Provillard","cross_cats":["nlin.CG"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.FL","submitted_at":"2011-08-05T22:06:40Z","title":"Non-uniform cellular automata and distributions of rules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.1419","kind":"arxiv","version":1},"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":"sha256:407ca64f9254bf7a6f9b836e31dd188b097bfbfb896254125a552ec9eac259df","target":"record","created_at":"2026-05-18T04:16:01Z","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":"ebb072861fc7783d8b08241c9e4ca327e7714a121d07bbc6241b9a3df63df7d3","cross_cats_sorted":["nlin.CG"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.FL","submitted_at":"2011-08-05T22:06:40Z","title_canon_sha256":"d59cfdd47f4a107deb47c4841320b33390d5465be7c9749865c330332eeea132"},"schema_version":"1.0","source":{"id":"1108.1419","kind":"arxiv","version":1}},"canonical_sha256":"796e0dd445ad92c5be294bb705041dce9fd53e72e3321f8b788778a45889da0f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"796e0dd445ad92c5be294bb705041dce9fd53e72e3321f8b788778a45889da0f","first_computed_at":"2026-05-18T04:16:01.152774Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:16:01.152774Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vFWonZsLVfwMPZB6/LTcEgYi2mf9RnOvyZebxHaD0LV97M6Bq1Dy4LevHy6i/yXhwWCI5Qh5KWFkuiPyDFKFBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:16:01.153569Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.1419","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:407ca64f9254bf7a6f9b836e31dd188b097bfbfb896254125a552ec9eac259df","sha256:4f56df87cdba84c6a3a439f68d131ae8d29af7b401188f89110ef7414b53409d"],"state_sha256":"dd071a54517197795071ad9ddb68331a9b2108fad273dd81f76e3ec6502a2451"}