{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:GG4IESE5VUONRHYBGEWRWS6VLZ","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":"bc41e74418b8c7606bf26382bc975a2be73899301f3fb366fa99e66e912a4edb","cross_cats_sorted":["math.AG","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2016-11-08T19:05:43Z","title_canon_sha256":"e866982755d7fd60f3222328b798cde931f7d413e1178ed94b42f16ded8d171f"},"schema_version":"1.0","source":{"id":"1611.02656","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.02656","created_at":"2026-05-18T00:59:51Z"},{"alias_kind":"arxiv_version","alias_value":"1611.02656v1","created_at":"2026-05-18T00:59:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.02656","created_at":"2026-05-18T00:59:51Z"},{"alias_kind":"pith_short_12","alias_value":"GG4IESE5VUON","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GG4IESE5VUONRHYB","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GG4IESE5","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:6a46087caf10a44f909fc4885b6a1299c37510c7e144f3451c5ed3ee4187e449","target":"graph","created_at":"2026-05-18T00:59:51Z","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":"The lactose operon in Escherichia coli was the first known gene regulatory network, and it is frequently used as a prototype for new modeling paradigms. Historically, many of these modeling frameworks use differential equations. More recently, Stigler and Veliz-Cuba proposed a Boolean network model that captures the bistability of the system and all of the biological steady states. In this paper, we model the well-known arabinose operon in E. coli with a Boolean network. This has several complex features not found in the lac operon, such as a protein that is both an activator and repressor, a ","authors_text":"Andy Jenkins, Matthew Macauley","cross_cats":["math.AG","math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2016-11-08T19:05:43Z","title":"Synchrony in a Boolean network model of the L-arabinose operon in Escherichia coli"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.02656","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:c25d20e00280b86d0d7bdb386eed4c5ae88bfafd0da13ca0b80303605778de94","target":"record","created_at":"2026-05-18T00:59:51Z","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":"bc41e74418b8c7606bf26382bc975a2be73899301f3fb366fa99e66e912a4edb","cross_cats_sorted":["math.AG","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2016-11-08T19:05:43Z","title_canon_sha256":"e866982755d7fd60f3222328b798cde931f7d413e1178ed94b42f16ded8d171f"},"schema_version":"1.0","source":{"id":"1611.02656","kind":"arxiv","version":1}},"canonical_sha256":"31b882489dad1cd89f01312d1b4bd55e64da442d1ca28cef2f4a9eee586ea980","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31b882489dad1cd89f01312d1b4bd55e64da442d1ca28cef2f4a9eee586ea980","first_computed_at":"2026-05-18T00:59:51.304184Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:51.304184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RWpgyYhV1JCaKL9ql5kuq8vNoDkM2Kq5sYDixufvaY3UpMQ3nM4nq5Hl+FXhXC+m2VE1xlJ+F49dNUF0EN3pDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:51.304784Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.02656","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c25d20e00280b86d0d7bdb386eed4c5ae88bfafd0da13ca0b80303605778de94","sha256:6a46087caf10a44f909fc4885b6a1299c37510c7e144f3451c5ed3ee4187e449"],"state_sha256":"a4363174ce89ebf56018317abcd745a3db83925761cdde8c8adb90e740fcb83b"}