{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YH6XLT5XIKEFBL2EX56OQ375SX","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":"e3ab68ac61954ffc567a7c474e10fce09d75b3706397951c3f87af251494ef4a","cross_cats_sorted":["cond-mat.stat-mech","nlin.AO","q-bio.MN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2014-08-03T14:06:26Z","title_canon_sha256":"98d80427bd5143cc06bb9c41c4dde9119a122bc3adabafa7959a10d9d6b6655c"},"schema_version":"1.0","source":{"id":"1408.0502","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.0502","created_at":"2026-05-18T02:45:22Z"},{"alias_kind":"arxiv_version","alias_value":"1408.0502v2","created_at":"2026-05-18T02:45:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.0502","created_at":"2026-05-18T02:45:22Z"},{"alias_kind":"pith_short_12","alias_value":"YH6XLT5XIKEF","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YH6XLT5XIKEFBL2E","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YH6XLT5X","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:09ef13ff60df089b2a5d7fe40180c2bdef8db2c83ef4592a4042571f3283c9f3","target":"graph","created_at":"2026-05-18T02:45:22Z","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":"A self-regulatory genetic circuit, where a protein acts as a positive regulator of its own production, is known to be a simplest form of biological network with a positive feedback loop. Although at least three components, DNA, RNA, and the protein, are required to form such a circuit, the stability analysis of fixed points of the self-regulatory circuit has been performed only after reducing the system into to a two-component system consisting of RNA and protein only, assuming a fast equilibration of the DNA component. Here, the stability of fixed points of the three-component positive feedba","authors_text":"Julian Lee","cross_cats":["cond-mat.stat-mech","nlin.AO","q-bio.MN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2014-08-03T14:06:26Z","title":"Analytic stability analysis of three-component self-regulatory genetic circuit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.0502","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":"sha256:6245eb70b702b6264cc319a61f900cef0d3b409a91e97dece52fc6aa8f8089bd","target":"record","created_at":"2026-05-18T02:45:22Z","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":"e3ab68ac61954ffc567a7c474e10fce09d75b3706397951c3f87af251494ef4a","cross_cats_sorted":["cond-mat.stat-mech","nlin.AO","q-bio.MN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2014-08-03T14:06:26Z","title_canon_sha256":"98d80427bd5143cc06bb9c41c4dde9119a122bc3adabafa7959a10d9d6b6655c"},"schema_version":"1.0","source":{"id":"1408.0502","kind":"arxiv","version":2}},"canonical_sha256":"c1fd75cfb7428850af44bf7ce86ffd95deec86f37a65f9d15283cce5a2d665ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c1fd75cfb7428850af44bf7ce86ffd95deec86f37a65f9d15283cce5a2d665ed","first_computed_at":"2026-05-18T02:45:22.869075Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:45:22.869075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SMpA8ZkDty3sOnFzzLMoh2Tmb6DHUJmpkLTOxm71hQMkQ3IvLibQKx+1sRoyc431DifdTlHFoQ2/SqrPEibHCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:45:22.869480Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.0502","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6245eb70b702b6264cc319a61f900cef0d3b409a91e97dece52fc6aa8f8089bd","sha256:09ef13ff60df089b2a5d7fe40180c2bdef8db2c83ef4592a4042571f3283c9f3"],"state_sha256":"50444ada9bdd1340402957406afe3351eed98bfdc7bdc41a3b554a03c87ae55c"}