{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:2VGA7F4UALBULA2TMEKNEET27Y","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":"ec830220caf6158c4c29de1b5e91884a8567b660e086dfa4972a2388dbe0e8cf","cross_cats_sorted":["cs.SY","q-bio.MN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-07-24T19:09:14Z","title_canon_sha256":"08a22a3b1d00a975d9a058939738af0c6ef456914f7c1a9a1a9d05f8235a8378"},"schema_version":"1.0","source":{"id":"1607.07080","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.07080","created_at":"2026-05-17T23:59:54Z"},{"alias_kind":"arxiv_version","alias_value":"1607.07080v2","created_at":"2026-05-17T23:59:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.07080","created_at":"2026-05-17T23:59:54Z"},{"alias_kind":"pith_short_12","alias_value":"2VGA7F4UALBU","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2VGA7F4UALBULA2T","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2VGA7F4U","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:6e20cbcca411b490c3ba78fb9f1cef6a9477689370509e3d40826d3c8c412a33","target":"graph","created_at":"2026-05-17T23:59:54Z","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":"Controlling stochastic reactions networks is a challenging problem with important implications in various fields such as systems and synthetic biology. Various regulation motifs have been discovered or posited over the recent years, the most recent one being the so-called Antithetic Integral Control (AIC) motif in Briat et al. (Cell Systems, 2016). Several favorable properties for the AIC motif have been demonstrated for classes of reaction networks that satisfy certain irreducibility, ergodicity and output controllability conditions. Here we address the problem of verifying these conditions f","authors_text":"Corentin Briat, Mustafa Khammash","cross_cats":["cs.SY","q-bio.MN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-07-24T19:09:14Z","title":"Robust ergodicity and tracking in antithetic integral control of stochastic biochemical reaction networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07080","kind":"arxiv","version":2},"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:c58fce8c9def78cecf10567672cb1dc2403d84afe923ca2c69ad8e82e075c86b","target":"record","created_at":"2026-05-17T23:59:54Z","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":"ec830220caf6158c4c29de1b5e91884a8567b660e086dfa4972a2388dbe0e8cf","cross_cats_sorted":["cs.SY","q-bio.MN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-07-24T19:09:14Z","title_canon_sha256":"08a22a3b1d00a975d9a058939738af0c6ef456914f7c1a9a1a9d05f8235a8378"},"schema_version":"1.0","source":{"id":"1607.07080","kind":"arxiv","version":2}},"canonical_sha256":"d54c0f979402c34583536114d2127afe1f2a82c14900864c68191fdb0c8d10e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d54c0f979402c34583536114d2127afe1f2a82c14900864c68191fdb0c8d10e8","first_computed_at":"2026-05-17T23:59:54.063232Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:54.063232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"//4dScAonVXQ0fd6S0Dk/BRSPGUHHuHOMDz7Y4i2v3Cit+fWIYGAolyo2pr8HYKAPt3XDICkOhc+lgcJ8vXNAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:54.063744Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.07080","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c58fce8c9def78cecf10567672cb1dc2403d84afe923ca2c69ad8e82e075c86b","sha256:6e20cbcca411b490c3ba78fb9f1cef6a9477689370509e3d40826d3c8c412a33"],"state_sha256":"cdc0fe47f885bbbd25beea2feffe8630107203b504f9be6bcd60125beba9a77c"}