{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:T34VQEJXDKPCXPGHKDUWIWAB5Y","short_pith_number":"pith:T34VQEJX","canonical_record":{"source":{"id":"1207.4766","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-07-19T19:20:51Z","cross_cats_sorted":["cs.SY","q-bio.MN","q-bio.QM"],"title_canon_sha256":"e4d13314b28a698d8160f4f9360139bd94fd469722d3d44a76bdf656989ef994","abstract_canon_sha256":"c9c786ab01c29fd57e74c7116f06ea3d1b0636cdb6f0ae67ed77fb63ae85fa6d"},"schema_version":"1.0"},"canonical_sha256":"9ef95811371a9e2bbcc750e9645801ee2a96cb740d7cf417bc9b1c30ea8e79bc","source":{"kind":"arxiv","id":"1207.4766","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.4766","created_at":"2026-05-18T03:50:35Z"},{"alias_kind":"arxiv_version","alias_value":"1207.4766v1","created_at":"2026-05-18T03:50:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.4766","created_at":"2026-05-18T03:50:35Z"},{"alias_kind":"pith_short_12","alias_value":"T34VQEJXDKPC","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"T34VQEJXDKPCXPGH","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"T34VQEJX","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:T34VQEJXDKPCXPGHKDUWIWAB5Y","target":"record","payload":{"canonical_record":{"source":{"id":"1207.4766","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-07-19T19:20:51Z","cross_cats_sorted":["cs.SY","q-bio.MN","q-bio.QM"],"title_canon_sha256":"e4d13314b28a698d8160f4f9360139bd94fd469722d3d44a76bdf656989ef994","abstract_canon_sha256":"c9c786ab01c29fd57e74c7116f06ea3d1b0636cdb6f0ae67ed77fb63ae85fa6d"},"schema_version":"1.0"},"canonical_sha256":"9ef95811371a9e2bbcc750e9645801ee2a96cb740d7cf417bc9b1c30ea8e79bc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:50:35.871088Z","signature_b64":"RFjtcWFKicY4Qk4QJqmLZLgLIToQWmZA99j/2ZPPAUCinmzyBZsvUOOjVq/71dLiNAoNZVaChy6cvX7ZKpwvCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ef95811371a9e2bbcc750e9645801ee2a96cb740d7cf417bc9b1c30ea8e79bc","last_reissued_at":"2026-05-18T03:50:35.870398Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:50:35.870398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.4766","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:50:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qyL0wGuLvJLc+BTWgxElgKpNf84b4MO5ZNc8jBTfjHsrk30FXPVgQGr0Br8Tcs6FJjsGjlAoVw1icgLW12oOBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:53:02.269793Z"},"content_sha256":"5ed39b9314b053ba7b0247c3f82d8987d0ecd516f10f79847b333f2e4d49adad","schema_version":"1.0","event_id":"sha256:5ed39b9314b053ba7b0247c3f82d8987d0ecd516f10f79847b333f2e4d49adad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:T34VQEJXDKPCXPGHKDUWIWAB5Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Computer control of gene expression: Robust setpoint tracking of protein mean and variance using integral feedback","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","q-bio.MN","q-bio.QM"],"primary_cat":"math.OC","authors_text":"Corentin Briat, Mustafa Khammash","submitted_at":"2012-07-19T19:20:51Z","abstract_excerpt":"Protein mean and variance levels in a simple stochastic gene expression circuit are controlled using proportional integral feedback. It is shown that the protein mean level can be globally and robustly tracked to any desired value using a simple PI controller that satisfies explicit sufficient conditions. Controlling both the mean and variance on the other hand requires the use of an additional control input, chosen here as the mRNA degradation rate. Local robust tracking of mean and variance is proved to be achievable using multivariable PI control, provided that the reference point satisfies"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.4766","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:50:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RaxBONsJz8XnJzDPV9hJSPmqjx8Ccv8J7whjPaOrrSHGJOi60WWooSpNA/McCvrOMS3mzZcNDo/pEhWvX5gvDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:53:02.270509Z"},"content_sha256":"a78cb9c8fb800fe08021f3d2eb1ffa8ba7215f3a19237a7556f054cc2d6d01ea","schema_version":"1.0","event_id":"sha256:a78cb9c8fb800fe08021f3d2eb1ffa8ba7215f3a19237a7556f054cc2d6d01ea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T34VQEJXDKPCXPGHKDUWIWAB5Y/bundle.json","state_url":"https://pith.science/pith/T34VQEJXDKPCXPGHKDUWIWAB5Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T34VQEJXDKPCXPGHKDUWIWAB5Y/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-05T20:53:02Z","links":{"resolver":"https://pith.science/pith/T34VQEJXDKPCXPGHKDUWIWAB5Y","bundle":"https://pith.science/pith/T34VQEJXDKPCXPGHKDUWIWAB5Y/bundle.json","state":"https://pith.science/pith/T34VQEJXDKPCXPGHKDUWIWAB5Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T34VQEJXDKPCXPGHKDUWIWAB5Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:T34VQEJXDKPCXPGHKDUWIWAB5Y","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":"c9c786ab01c29fd57e74c7116f06ea3d1b0636cdb6f0ae67ed77fb63ae85fa6d","cross_cats_sorted":["cs.SY","q-bio.MN","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-07-19T19:20:51Z","title_canon_sha256":"e4d13314b28a698d8160f4f9360139bd94fd469722d3d44a76bdf656989ef994"},"schema_version":"1.0","source":{"id":"1207.4766","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.4766","created_at":"2026-05-18T03:50:35Z"},{"alias_kind":"arxiv_version","alias_value":"1207.4766v1","created_at":"2026-05-18T03:50:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.4766","created_at":"2026-05-18T03:50:35Z"},{"alias_kind":"pith_short_12","alias_value":"T34VQEJXDKPC","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"T34VQEJXDKPCXPGH","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"T34VQEJX","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:a78cb9c8fb800fe08021f3d2eb1ffa8ba7215f3a19237a7556f054cc2d6d01ea","target":"graph","created_at":"2026-05-18T03:50:35Z","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":"Protein mean and variance levels in a simple stochastic gene expression circuit are controlled using proportional integral feedback. It is shown that the protein mean level can be globally and robustly tracked to any desired value using a simple PI controller that satisfies explicit sufficient conditions. Controlling both the mean and variance on the other hand requires the use of an additional control input, chosen here as the mRNA degradation rate. Local robust tracking of mean and variance is proved to be achievable using multivariable PI control, provided that the reference point satisfies","authors_text":"Corentin Briat, Mustafa Khammash","cross_cats":["cs.SY","q-bio.MN","q-bio.QM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-07-19T19:20:51Z","title":"Computer control of gene expression: Robust setpoint tracking of protein mean and variance using integral feedback"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.4766","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":"sha256:5ed39b9314b053ba7b0247c3f82d8987d0ecd516f10f79847b333f2e4d49adad","target":"record","created_at":"2026-05-18T03:50:35Z","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":"c9c786ab01c29fd57e74c7116f06ea3d1b0636cdb6f0ae67ed77fb63ae85fa6d","cross_cats_sorted":["cs.SY","q-bio.MN","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-07-19T19:20:51Z","title_canon_sha256":"e4d13314b28a698d8160f4f9360139bd94fd469722d3d44a76bdf656989ef994"},"schema_version":"1.0","source":{"id":"1207.4766","kind":"arxiv","version":1}},"canonical_sha256":"9ef95811371a9e2bbcc750e9645801ee2a96cb740d7cf417bc9b1c30ea8e79bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ef95811371a9e2bbcc750e9645801ee2a96cb740d7cf417bc9b1c30ea8e79bc","first_computed_at":"2026-05-18T03:50:35.870398Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:50:35.870398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RFjtcWFKicY4Qk4QJqmLZLgLIToQWmZA99j/2ZPPAUCinmzyBZsvUOOjVq/71dLiNAoNZVaChy6cvX7ZKpwvCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:50:35.871088Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.4766","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ed39b9314b053ba7b0247c3f82d8987d0ecd516f10f79847b333f2e4d49adad","sha256:a78cb9c8fb800fe08021f3d2eb1ffa8ba7215f3a19237a7556f054cc2d6d01ea"],"state_sha256":"fdec6f2da768515c25e0f14f342983b57ec486d71ec0d9ec60c3837487ed5730"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RVYgE1fnCiVQL2VctGTwmdJOLuyxguUXiqWQHkpiCcwbU/yrxzpC/hj8bf6Qpblm0dRSN1kD8x1gtYRxIc/hCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T20:53:02.273605Z","bundle_sha256":"27a145cddfb09234ec4307c6b0f8614ac74d37e36308269a233d3e0572cd13c5"}}