{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:62HNR7XVZHDSDT2Y5JRI5Q4FBV","short_pith_number":"pith:62HNR7XV","schema_version":"1.0","canonical_sha256":"f68ed8fef5c9c721cf58ea628ec3850d584e35003290a513fb1dc12303630121","source":{"kind":"arxiv","id":"1808.05003","version":3},"attestation_state":"computed","paper":{"title":"Stochastic activation in a genetic switch model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["q-bio.MN"],"primary_cat":"physics.bio-ph","authors_text":"Alvaro Correales, Joanna Tyrcha, John Hertz","submitted_at":"2018-08-15T09:03:57Z","abstract_excerpt":"We study a biological autoregulation process, involving a protein that enhances its own transcription, in a parameter region where bistability would be present in the absence of fluctuations. We calculate the rate of fluctuation-induced rare transitions between locally-stable states using a path integral formulation and Master and Chapman-Kolmogorov equations. As in simpler models for rare transitions, the rate has the form of the exponential of a quantity $S_0$ (a \"barrier\") multiplied by a prefactor $\\eta$. We calculate $S_0$ and $\\eta$ first in the bursting limit (where the ratio $\\gamma$ o"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1808.05003","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.bio-ph","submitted_at":"2018-08-15T09:03:57Z","cross_cats_sorted":["q-bio.MN"],"title_canon_sha256":"f2e6f6864e66a482e7979bcd673670b632f837181347a36e60d559b2e6d23239","abstract_canon_sha256":"34a3f7d6030a1013598a64b6afa824064904920b31213ace8f3ee20850d48348"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:51.091698Z","signature_b64":"3QsOVro9u/Pr7baAfvAcFTiPovJ3MwGUdGFSvfgoGyFMu+pCTYWf9hHHtPnV3cp/wCJt4l73pSzw26V9zS8yBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f68ed8fef5c9c721cf58ea628ec3850d584e35003290a513fb1dc12303630121","last_reissued_at":"2026-05-18T00:00:51.091260Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:51.091260Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stochastic activation in a genetic switch model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["q-bio.MN"],"primary_cat":"physics.bio-ph","authors_text":"Alvaro Correales, Joanna Tyrcha, John Hertz","submitted_at":"2018-08-15T09:03:57Z","abstract_excerpt":"We study a biological autoregulation process, involving a protein that enhances its own transcription, in a parameter region where bistability would be present in the absence of fluctuations. We calculate the rate of fluctuation-induced rare transitions between locally-stable states using a path integral formulation and Master and Chapman-Kolmogorov equations. As in simpler models for rare transitions, the rate has the form of the exponential of a quantity $S_0$ (a \"barrier\") multiplied by a prefactor $\\eta$. We calculate $S_0$ and $\\eta$ first in the bursting limit (where the ratio $\\gamma$ o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.05003","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1808.05003","created_at":"2026-05-18T00:00:51.091332+00:00"},{"alias_kind":"arxiv_version","alias_value":"1808.05003v3","created_at":"2026-05-18T00:00:51.091332+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.05003","created_at":"2026-05-18T00:00:51.091332+00:00"},{"alias_kind":"pith_short_12","alias_value":"62HNR7XVZHDS","created_at":"2026-05-18T12:32:08.215937+00:00"},{"alias_kind":"pith_short_16","alias_value":"62HNR7XVZHDSDT2Y","created_at":"2026-05-18T12:32:08.215937+00:00"},{"alias_kind":"pith_short_8","alias_value":"62HNR7XV","created_at":"2026-05-18T12:32:08.215937+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/62HNR7XVZHDSDT2Y5JRI5Q4FBV","json":"https://pith.science/pith/62HNR7XVZHDSDT2Y5JRI5Q4FBV.json","graph_json":"https://pith.science/api/pith-number/62HNR7XVZHDSDT2Y5JRI5Q4FBV/graph.json","events_json":"https://pith.science/api/pith-number/62HNR7XVZHDSDT2Y5JRI5Q4FBV/events.json","paper":"https://pith.science/paper/62HNR7XV"},"agent_actions":{"view_html":"https://pith.science/pith/62HNR7XVZHDSDT2Y5JRI5Q4FBV","download_json":"https://pith.science/pith/62HNR7XVZHDSDT2Y5JRI5Q4FBV.json","view_paper":"https://pith.science/paper/62HNR7XV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1808.05003&json=true","fetch_graph":"https://pith.science/api/pith-number/62HNR7XVZHDSDT2Y5JRI5Q4FBV/graph.json","fetch_events":"https://pith.science/api/pith-number/62HNR7XVZHDSDT2Y5JRI5Q4FBV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/62HNR7XVZHDSDT2Y5JRI5Q4FBV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/62HNR7XVZHDSDT2Y5JRI5Q4FBV/action/storage_attestation","attest_author":"https://pith.science/pith/62HNR7XVZHDSDT2Y5JRI5Q4FBV/action/author_attestation","sign_citation":"https://pith.science/pith/62HNR7XVZHDSDT2Y5JRI5Q4FBV/action/citation_signature","submit_replication":"https://pith.science/pith/62HNR7XVZHDSDT2Y5JRI5Q4FBV/action/replication_record"}},"created_at":"2026-05-18T00:00:51.091332+00:00","updated_at":"2026-05-18T00:00:51.091332+00:00"}