{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:6ZPUQDFRI3BHFMUELDANL3F7QH","short_pith_number":"pith:6ZPUQDFR","schema_version":"1.0","canonical_sha256":"f65f480cb146c272b28458c0d5ecbf81c705733403aa96bbd5e527712000651e","source":{"kind":"arxiv","id":"1502.04097","version":1},"attestation_state":"computed","paper":{"title":"A Max-Plus Model of Asynchronous Cellular Automata","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"David Broomhead, Ebrahim L. Patel","submitted_at":"2015-02-13T19:38:37Z","abstract_excerpt":"This paper presents a new framework for asynchrony. This has its origins in our attempts to better harness the internal decision making process of cellular automata (CA). Thus, we show that a max-plus algebraic model of asynchrony arises naturally from the CA requirement that a cell receives the state of each neighbour before updating. The significant result is the existence of a bijective mapping between the asynchronous system and the synchronous system classically used to update cellular automata. Consequently, although the CA outputs look qualitatively different, when surveyed on \"contours"},"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":"1502.04097","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-02-13T19:38:37Z","cross_cats_sorted":[],"title_canon_sha256":"e8becb0f09d4bab04fcb9dad6c55bbd6a57b38e62b3cec80f3ee38549c416263","abstract_canon_sha256":"9f484def16ad96f7ff4b0f1fb762e553b3c773b3cc2faba7e80489766e797062"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:06.512541Z","signature_b64":"cttUxABv0wrVzK83myQVMBWEx1kslOxqZWvye1gPjVJn/2q43JfzXN2G13nok/K25wvIM6QCHAn/HmdcFc23BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f65f480cb146c272b28458c0d5ecbf81c705733403aa96bbd5e527712000651e","last_reissued_at":"2026-05-18T02:27:06.511750Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:06.511750Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Max-Plus Model of Asynchronous Cellular Automata","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"David Broomhead, Ebrahim L. Patel","submitted_at":"2015-02-13T19:38:37Z","abstract_excerpt":"This paper presents a new framework for asynchrony. This has its origins in our attempts to better harness the internal decision making process of cellular automata (CA). Thus, we show that a max-plus algebraic model of asynchrony arises naturally from the CA requirement that a cell receives the state of each neighbour before updating. The significant result is the existence of a bijective mapping between the asynchronous system and the synchronous system classically used to update cellular automata. Consequently, although the CA outputs look qualitatively different, when surveyed on \"contours"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.04097","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":"1502.04097","created_at":"2026-05-18T02:27:06.511882+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.04097v1","created_at":"2026-05-18T02:27:06.511882+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.04097","created_at":"2026-05-18T02:27:06.511882+00:00"},{"alias_kind":"pith_short_12","alias_value":"6ZPUQDFRI3BH","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_16","alias_value":"6ZPUQDFRI3BHFMUE","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_8","alias_value":"6ZPUQDFR","created_at":"2026-05-18T12:29:07.941421+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/6ZPUQDFRI3BHFMUELDANL3F7QH","json":"https://pith.science/pith/6ZPUQDFRI3BHFMUELDANL3F7QH.json","graph_json":"https://pith.science/api/pith-number/6ZPUQDFRI3BHFMUELDANL3F7QH/graph.json","events_json":"https://pith.science/api/pith-number/6ZPUQDFRI3BHFMUELDANL3F7QH/events.json","paper":"https://pith.science/paper/6ZPUQDFR"},"agent_actions":{"view_html":"https://pith.science/pith/6ZPUQDFRI3BHFMUELDANL3F7QH","download_json":"https://pith.science/pith/6ZPUQDFRI3BHFMUELDANL3F7QH.json","view_paper":"https://pith.science/paper/6ZPUQDFR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.04097&json=true","fetch_graph":"https://pith.science/api/pith-number/6ZPUQDFRI3BHFMUELDANL3F7QH/graph.json","fetch_events":"https://pith.science/api/pith-number/6ZPUQDFRI3BHFMUELDANL3F7QH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6ZPUQDFRI3BHFMUELDANL3F7QH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6ZPUQDFRI3BHFMUELDANL3F7QH/action/storage_attestation","attest_author":"https://pith.science/pith/6ZPUQDFRI3BHFMUELDANL3F7QH/action/author_attestation","sign_citation":"https://pith.science/pith/6ZPUQDFRI3BHFMUELDANL3F7QH/action/citation_signature","submit_replication":"https://pith.science/pith/6ZPUQDFRI3BHFMUELDANL3F7QH/action/replication_record"}},"created_at":"2026-05-18T02:27:06.511882+00:00","updated_at":"2026-05-18T02:27:06.511882+00:00"}