{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:IEHGX5TYS544B4ILM5HYUL3EVC","short_pith_number":"pith:IEHGX5TY","canonical_record":{"source":{"id":"0709.3606","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"q-bio.MN","submitted_at":"2007-09-22T21:03:56Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"d84a09e06fa4c5fbd5015f855a14ac55091746e9d8eb4423f5a2f2a2323e1dd5","abstract_canon_sha256":"7c254959999cc77d88c36dd2f4abd98db5d422d05ed0aee7c5bf46af6b422cbb"},"schema_version":"1.0"},"canonical_sha256":"410e6bf6789779c0f10b674f8a2f64a8a528b68364a5803cb5497aa11d8c3ae9","source":{"kind":"arxiv","id":"0709.3606","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0709.3606","created_at":"2026-05-18T01:03:10Z"},{"alias_kind":"arxiv_version","alias_value":"0709.3606v2","created_at":"2026-05-18T01:03:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0709.3606","created_at":"2026-05-18T01:03:10Z"},{"alias_kind":"pith_short_12","alias_value":"IEHGX5TYS544","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"IEHGX5TYS544B4IL","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"IEHGX5TY","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:IEHGX5TYS544B4ILM5HYUL3EVC","target":"record","payload":{"canonical_record":{"source":{"id":"0709.3606","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"q-bio.MN","submitted_at":"2007-09-22T21:03:56Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"d84a09e06fa4c5fbd5015f855a14ac55091746e9d8eb4423f5a2f2a2323e1dd5","abstract_canon_sha256":"7c254959999cc77d88c36dd2f4abd98db5d422d05ed0aee7c5bf46af6b422cbb"},"schema_version":"1.0"},"canonical_sha256":"410e6bf6789779c0f10b674f8a2f64a8a528b68364a5803cb5497aa11d8c3ae9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:10.883817Z","signature_b64":"yRFHRPj81Z2kzhkkZumaa6ENb+N1JRhhlnMtjyCSM5ShZPLic+7TC5/iR+DHLiFHNsc90Hermt/16hu8OVzPAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"410e6bf6789779c0f10b674f8a2f64a8a528b68364a5803cb5497aa11d8c3ae9","last_reissued_at":"2026-05-18T01:03:10.883190Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:10.883190Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0709.3606","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:03:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FxKQwnTRztLFimjVfp0OB+FVJxNrZDD3uAfgRnmLzb0j48UHjVGZg9KAe88LB4TZsI6MihiTSA3BtVgk3c2TCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:00:11.578579Z"},"content_sha256":"eebe9524ca4850ddf3a5afc1bbd0177570e3af757c8bd7d2d1119d650058b4a2","schema_version":"1.0","event_id":"sha256:eebe9524ca4850ddf3a5afc1bbd0177570e3af757c8bd7d2d1119d650058b4a2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:IEHGX5TYS544B4ILM5HYUL3EVC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Noise enhanced persistence in a biochemical regulatory network with feedback control","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"q-bio.MN","authors_text":"Baruch Meerson, Michael Assaf","submitted_at":"2007-09-22T21:03:56Z","abstract_excerpt":"We find that discrete noise of inhibiting (signal) molecules can greatly delay the extinction of plasmids in a plasmid replication system: a prototypical biochemical regulatory network. We calculate the probability distribution of the metastable state of the plasmids and show on this example that the reaction rate equations may fail in predicting the average number of regulated molecules even when this number is large, and the time is much shorter than the mean extinction time."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0709.3606","kind":"arxiv","version":2},"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":"2026-05-18T01:03:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3/6kaPdNsUVU+PotFmz3XzTy4+NDMvSV/YEBaU01Y9EPGc6mdf61pVM2E6vpJXCfgC4Xiany722FAvo3MhJPDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:00:11.579219Z"},"content_sha256":"e1d7b7bb47ddb067dbb0583b82cb59bb658677aac8e7039f6b8df883a63ba95c","schema_version":"1.0","event_id":"sha256:e1d7b7bb47ddb067dbb0583b82cb59bb658677aac8e7039f6b8df883a63ba95c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IEHGX5TYS544B4ILM5HYUL3EVC/bundle.json","state_url":"https://pith.science/pith/IEHGX5TYS544B4ILM5HYUL3EVC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IEHGX5TYS544B4ILM5HYUL3EVC/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":"2026-05-28T22:00:11Z","links":{"resolver":"https://pith.science/pith/IEHGX5TYS544B4ILM5HYUL3EVC","bundle":"https://pith.science/pith/IEHGX5TYS544B4ILM5HYUL3EVC/bundle.json","state":"https://pith.science/pith/IEHGX5TYS544B4ILM5HYUL3EVC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IEHGX5TYS544B4ILM5HYUL3EVC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:IEHGX5TYS544B4ILM5HYUL3EVC","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":"7c254959999cc77d88c36dd2f4abd98db5d422d05ed0aee7c5bf46af6b422cbb","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"q-bio.MN","submitted_at":"2007-09-22T21:03:56Z","title_canon_sha256":"d84a09e06fa4c5fbd5015f855a14ac55091746e9d8eb4423f5a2f2a2323e1dd5"},"schema_version":"1.0","source":{"id":"0709.3606","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0709.3606","created_at":"2026-05-18T01:03:10Z"},{"alias_kind":"arxiv_version","alias_value":"0709.3606v2","created_at":"2026-05-18T01:03:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0709.3606","created_at":"2026-05-18T01:03:10Z"},{"alias_kind":"pith_short_12","alias_value":"IEHGX5TYS544","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"IEHGX5TYS544B4IL","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"IEHGX5TY","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:e1d7b7bb47ddb067dbb0583b82cb59bb658677aac8e7039f6b8df883a63ba95c","target":"graph","created_at":"2026-05-18T01:03:10Z","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 find that discrete noise of inhibiting (signal) molecules can greatly delay the extinction of plasmids in a plasmid replication system: a prototypical biochemical regulatory network. We calculate the probability distribution of the metastable state of the plasmids and show on this example that the reaction rate equations may fail in predicting the average number of regulated molecules even when this number is large, and the time is much shorter than the mean extinction time.","authors_text":"Baruch Meerson, Michael Assaf","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"","primary_cat":"q-bio.MN","submitted_at":"2007-09-22T21:03:56Z","title":"Noise enhanced persistence in a biochemical regulatory network with feedback control"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0709.3606","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:eebe9524ca4850ddf3a5afc1bbd0177570e3af757c8bd7d2d1119d650058b4a2","target":"record","created_at":"2026-05-18T01:03:10Z","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":"7c254959999cc77d88c36dd2f4abd98db5d422d05ed0aee7c5bf46af6b422cbb","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"q-bio.MN","submitted_at":"2007-09-22T21:03:56Z","title_canon_sha256":"d84a09e06fa4c5fbd5015f855a14ac55091746e9d8eb4423f5a2f2a2323e1dd5"},"schema_version":"1.0","source":{"id":"0709.3606","kind":"arxiv","version":2}},"canonical_sha256":"410e6bf6789779c0f10b674f8a2f64a8a528b68364a5803cb5497aa11d8c3ae9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"410e6bf6789779c0f10b674f8a2f64a8a528b68364a5803cb5497aa11d8c3ae9","first_computed_at":"2026-05-18T01:03:10.883190Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:10.883190Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yRFHRPj81Z2kzhkkZumaa6ENb+N1JRhhlnMtjyCSM5ShZPLic+7TC5/iR+DHLiFHNsc90Hermt/16hu8OVzPAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:10.883817Z","signed_message":"canonical_sha256_bytes"},"source_id":"0709.3606","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eebe9524ca4850ddf3a5afc1bbd0177570e3af757c8bd7d2d1119d650058b4a2","sha256:e1d7b7bb47ddb067dbb0583b82cb59bb658677aac8e7039f6b8df883a63ba95c"],"state_sha256":"1beb744fb0b2da61aed64134d8647c233726239bf2a3f21443172214cd14ad26"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uK38PeJPCe7/iHmwwMntG+vJwPqvbMK5E7adSzP3wyh3iGd9gAIJTcjH3Udokxx+25QJqXfv2zRaQ6cW7dNdDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T22:00:11.582144Z","bundle_sha256":"0e9904686176f31cdaa83184f6eefb22f6e43f5fa1f3f3c24c2b9cc90b3c9b6c"}}