{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:T3HHONSPT5KFH5VEWHJYD3LJPH","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":"15e33e5b4a4b9d127e406417f5751e923fcc4a87e7a208acba970e45a766f740","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2026-06-07T19:32:32Z","title_canon_sha256":"5f22d14e55e89e6ba01a54bdae568deabc1ef240a961c6e57303b6bf4dfb5f40"},"schema_version":"1.0","source":{"id":"2606.08798","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.08798","created_at":"2026-06-09T02:07:39Z"},{"alias_kind":"arxiv_version","alias_value":"2606.08798v1","created_at":"2026-06-09T02:07:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.08798","created_at":"2026-06-09T02:07:39Z"},{"alias_kind":"pith_short_12","alias_value":"T3HHONSPT5KF","created_at":"2026-06-09T02:07:39Z"},{"alias_kind":"pith_short_16","alias_value":"T3HHONSPT5KFH5VE","created_at":"2026-06-09T02:07:39Z"},{"alias_kind":"pith_short_8","alias_value":"T3HHONSP","created_at":"2026-06-09T02:07:39Z"}],"graph_snapshots":[{"event_id":"sha256:4aa05f7cbe35454663b4de8aeed42ddb995faeeacc5431658bd712d092410cee","target":"graph","created_at":"2026-06-09T02:07:39Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.08798/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Gene regulatory networks (GRNs) are high-value targets for therapeutic and synthetic-biology control. Classical Hill models carry a structural defect: the production term vanishes when the activator is absent, causing loss of controllability under multiplicative actuation and a collapse of network coupling under additive actuation -- precisely where biological operation is most common. Building on logistic functions as robust Hill alternatives, we develop an additive state-feedback framework for logistic-based GRNs, with two companion scalar results. A feedforward-plus-proportional law turns a","authors_text":"Ismail Belgacem","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2026-06-07T19:32:32Z","title":"State-Feedback Control of Logistic-Based Gene Regulatory Networks: Closed-Form Lyapunov Certificates, Monostabilization, and Delay-Uniform Stability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.08798","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:de9203a9e2e710160a406d7f6bd770c5db540fb9f0e9fe26052e1321af5ea2f1","target":"record","created_at":"2026-06-09T02:07:39Z","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":"15e33e5b4a4b9d127e406417f5751e923fcc4a87e7a208acba970e45a766f740","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2026-06-07T19:32:32Z","title_canon_sha256":"5f22d14e55e89e6ba01a54bdae568deabc1ef240a961c6e57303b6bf4dfb5f40"},"schema_version":"1.0","source":{"id":"2606.08798","kind":"arxiv","version":1}},"canonical_sha256":"9ece77364f9f5453f6a4b1d381ed6979dc7a931cff33aff13a5b2b9ce0503fc5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ece77364f9f5453f6a4b1d381ed6979dc7a931cff33aff13a5b2b9ce0503fc5","first_computed_at":"2026-06-09T02:07:39.796935Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-09T02:07:39.796935Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M4X6koprVKPYmicER/1fsgQTtrB7N8kjp99F2dGuVtUDoqoaN7WJw/qIqVqNg0AZ3vXseSTHxM3GF/pGzwsqCA==","signature_status":"signed_v1","signed_at":"2026-06-09T02:07:39.797686Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.08798","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de9203a9e2e710160a406d7f6bd770c5db540fb9f0e9fe26052e1321af5ea2f1","sha256:4aa05f7cbe35454663b4de8aeed42ddb995faeeacc5431658bd712d092410cee"],"state_sha256":"fab28f7215b402b6f4812eb2f7faf3dae0d124a0f49f3a1b83a6af39ca67240a"}