{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:PWBOKZOXZB6RQL44QCYJGD336I","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":"1f1833abb4e68be835aedf0ae1fda41f146f8556f083649f30bed4d1f97d1265","cross_cats_sorted":["cs.FL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-02-10T08:52:51Z","title_canon_sha256":"cd61f7a8d81b8634c991cbacf446045ab1817d3a5c8a5cae9a2fcef724958dfc"},"schema_version":"1.0","source":{"id":"1702.03101","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.03101","created_at":"2026-05-18T00:50:58Z"},{"alias_kind":"arxiv_version","alias_value":"1702.03101v1","created_at":"2026-05-18T00:50:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.03101","created_at":"2026-05-18T00:50:58Z"},{"alias_kind":"pith_short_12","alias_value":"PWBOKZOXZB6R","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PWBOKZOXZB6RQL44","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PWBOKZOX","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:d5a785a1e6768675fa4a733d6f9a6cb2840ece13dce7fee2fa3609c1fa49f255","target":"graph","created_at":"2026-05-18T00:50:58Z","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 article we study the minimum number $\\kappa$ of additional automata that a Boolean automata network (BAN) associated with a given block-sequential update schedule needs in order to simulate a given BAN with a parallel update schedule. We introduce a graph that we call $\\mathsf{NECC}$ graph built from the BAN and the update schedule. We show the relation between $\\kappa$ and the chromatic number of the $\\mathsf{NECC}$ graph. Thanks to this $\\mathsf{NECC}$ graph, we bound $\\kappa$ in the worst case between $n/2$ and $2n/3+2$ ($n$ being the size of the BAN simulated) and we conjecture tha","authors_text":"Florian Bridoux, Guillaume Theyssier, K\\'evin Perrot, Pierre Guillon, Sylvain Sen\\'e","cross_cats":["cs.FL"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-02-10T08:52:51Z","title":"On the cost of simulating a parallel Boolean automata network by a block-sequential one"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.03101","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":"sha256:2a09fd81ca3723b99867e30e24f257df805848aad55b9906ffdb19e153aa03db","target":"record","created_at":"2026-05-18T00:50:58Z","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":"1f1833abb4e68be835aedf0ae1fda41f146f8556f083649f30bed4d1f97d1265","cross_cats_sorted":["cs.FL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2017-02-10T08:52:51Z","title_canon_sha256":"cd61f7a8d81b8634c991cbacf446045ab1817d3a5c8a5cae9a2fcef724958dfc"},"schema_version":"1.0","source":{"id":"1702.03101","kind":"arxiv","version":1}},"canonical_sha256":"7d82e565d7c87d182f9c80b0930f7bf231aceb3627b9b728690183acf7ccfa23","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d82e565d7c87d182f9c80b0930f7bf231aceb3627b9b728690183acf7ccfa23","first_computed_at":"2026-05-18T00:50:58.652199Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:58.652199Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jCBVSv6dh2BsK05XxL6uey0PxBnZmq6ETFIj28Z/wOst1v6TjXLaZXTsDPPo5skiIc+zq0zLc+Av6GsQr9YnDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:58.652749Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.03101","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a09fd81ca3723b99867e30e24f257df805848aad55b9906ffdb19e153aa03db","sha256:d5a785a1e6768675fa4a733d6f9a6cb2840ece13dce7fee2fa3609c1fa49f255"],"state_sha256":"c79edd9dec0a6b6a43ba9ab1366ee13bc16a92872314d1bb2ff7ce92e4df1108"}