{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:62HNR7XVZHDSDT2Y5JRI5Q4FBV","short_pith_number":"pith:62HNR7XV","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"},"canonical_sha256":"f68ed8fef5c9c721cf58ea628ec3850d584e35003290a513fb1dc12303630121","source":{"kind":"arxiv","id":"1808.05003","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.05003","created_at":"2026-05-18T00:00:51Z"},{"alias_kind":"arxiv_version","alias_value":"1808.05003v3","created_at":"2026-05-18T00:00:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.05003","created_at":"2026-05-18T00:00:51Z"},{"alias_kind":"pith_short_12","alias_value":"62HNR7XVZHDS","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"62HNR7XVZHDSDT2Y","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"62HNR7XV","created_at":"2026-05-18T12:32:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:62HNR7XVZHDSDT2Y5JRI5Q4FBV","target":"record","payload":{"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"},"canonical_sha256":"f68ed8fef5c9c721cf58ea628ec3850d584e35003290a513fb1dc12303630121","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"},"source_kind":"arxiv","source_id":"1808.05003","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:00:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KqH5Adzs/WXeUGjVmxsd2GwY30MIyXOyG3ZTtZ7/EFmMRW5QBJ2kUOKERwlwpFBi4yKvHXtx7m0CdXfazkJlDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T17:29:51.807948Z"},"content_sha256":"11c9fc480d59450cddf09ab22be292e7e3ce035f58044a607ee669876770a2e7","schema_version":"1.0","event_id":"sha256:11c9fc480d59450cddf09ab22be292e7e3ce035f58044a607ee669876770a2e7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:62HNR7XVZHDSDT2Y5JRI5Q4FBV","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:00:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AKXcXCZ0dl7jsNZfYS3pMfAr81NzdVxKLZEvpDOglJjVn6CKXupVpcSQi8waxGuI1PmDPquGdZEDiW/diRJiDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T17:29:51.808659Z"},"content_sha256":"03a0279e2b8eb64c4984403805d5da7827647429a24bd2d95e39b305968338e2","schema_version":"1.0","event_id":"sha256:03a0279e2b8eb64c4984403805d5da7827647429a24bd2d95e39b305968338e2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/62HNR7XVZHDSDT2Y5JRI5Q4FBV/bundle.json","state_url":"https://pith.science/pith/62HNR7XVZHDSDT2Y5JRI5Q4FBV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/62HNR7XVZHDSDT2Y5JRI5Q4FBV/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":"2026-06-08T17:29:51Z","links":{"resolver":"https://pith.science/pith/62HNR7XVZHDSDT2Y5JRI5Q4FBV","bundle":"https://pith.science/pith/62HNR7XVZHDSDT2Y5JRI5Q4FBV/bundle.json","state":"https://pith.science/pith/62HNR7XVZHDSDT2Y5JRI5Q4FBV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/62HNR7XVZHDSDT2Y5JRI5Q4FBV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:62HNR7XVZHDSDT2Y5JRI5Q4FBV","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":"34a3f7d6030a1013598a64b6afa824064904920b31213ace8f3ee20850d48348","cross_cats_sorted":["q-bio.MN"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.bio-ph","submitted_at":"2018-08-15T09:03:57Z","title_canon_sha256":"f2e6f6864e66a482e7979bcd673670b632f837181347a36e60d559b2e6d23239"},"schema_version":"1.0","source":{"id":"1808.05003","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.05003","created_at":"2026-05-18T00:00:51Z"},{"alias_kind":"arxiv_version","alias_value":"1808.05003v3","created_at":"2026-05-18T00:00:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.05003","created_at":"2026-05-18T00:00:51Z"},{"alias_kind":"pith_short_12","alias_value":"62HNR7XVZHDS","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"62HNR7XVZHDSDT2Y","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"62HNR7XV","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:03a0279e2b8eb64c4984403805d5da7827647429a24bd2d95e39b305968338e2","target":"graph","created_at":"2026-05-18T00:00:51Z","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":"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","authors_text":"Alvaro Correales, Joanna Tyrcha, John Hertz","cross_cats":["q-bio.MN"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.bio-ph","submitted_at":"2018-08-15T09:03:57Z","title":"Stochastic activation in a genetic switch model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.05003","kind":"arxiv","version":3},"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":"sha256:11c9fc480d59450cddf09ab22be292e7e3ce035f58044a607ee669876770a2e7","target":"record","created_at":"2026-05-18T00:00:51Z","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":"34a3f7d6030a1013598a64b6afa824064904920b31213ace8f3ee20850d48348","cross_cats_sorted":["q-bio.MN"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.bio-ph","submitted_at":"2018-08-15T09:03:57Z","title_canon_sha256":"f2e6f6864e66a482e7979bcd673670b632f837181347a36e60d559b2e6d23239"},"schema_version":"1.0","source":{"id":"1808.05003","kind":"arxiv","version":3}},"canonical_sha256":"f68ed8fef5c9c721cf58ea628ec3850d584e35003290a513fb1dc12303630121","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f68ed8fef5c9c721cf58ea628ec3850d584e35003290a513fb1dc12303630121","first_computed_at":"2026-05-18T00:00:51.091260Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:51.091260Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3QsOVro9u/Pr7baAfvAcFTiPovJ3MwGUdGFSvfgoGyFMu+pCTYWf9hHHtPnV3cp/wCJt4l73pSzw26V9zS8yBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:51.091698Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.05003","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:11c9fc480d59450cddf09ab22be292e7e3ce035f58044a607ee669876770a2e7","sha256:03a0279e2b8eb64c4984403805d5da7827647429a24bd2d95e39b305968338e2"],"state_sha256":"3e798a7eb0cf4ac5c843d50e40feb1be9276e016ad3cb07272a92ffac8c19fb8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pcgzdLn1QaMVsxek1Qo1Dgp/tozk0/9qjOqiWbe9u/c5LGob9aXYrjjkKcg5oiMKjMOfBS2oii1+lLaTBa9FAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T17:29:51.812529Z","bundle_sha256":"af664510097f810d2425a86042167d0dc7cb8f2e37379a34bad0547a7d1d7dd5"}}