{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:LLEAGGALTVTLNAXKKAR7RXZMRP","short_pith_number":"pith:LLEAGGAL","canonical_record":{"source":{"id":"1409.3499","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2014-09-11T16:45:34Z","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph"],"title_canon_sha256":"4b642695b5078d9d1ca8f5e66cdc92fb06df91ded02bbb4efffe6fb5394ed631","abstract_canon_sha256":"4b2726ea3426d7d32cb2ba03e240fad33d519af41523f0c8cf6646c90e21cf57"},"schema_version":"1.0"},"canonical_sha256":"5ac803180b9d66b682ea5023f8df2c8bfdb729987ab720537de36034a5c19e2f","source":{"kind":"arxiv","id":"1409.3499","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.3499","created_at":"2026-05-18T01:42:03Z"},{"alias_kind":"arxiv_version","alias_value":"1409.3499v2","created_at":"2026-05-18T01:42:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.3499","created_at":"2026-05-18T01:42:03Z"},{"alias_kind":"pith_short_12","alias_value":"LLEAGGALTVTL","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"LLEAGGALTVTLNAXK","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"LLEAGGAL","created_at":"2026-05-18T12:28:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:LLEAGGALTVTLNAXKKAR7RXZMRP","target":"record","payload":{"canonical_record":{"source":{"id":"1409.3499","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2014-09-11T16:45:34Z","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph"],"title_canon_sha256":"4b642695b5078d9d1ca8f5e66cdc92fb06df91ded02bbb4efffe6fb5394ed631","abstract_canon_sha256":"4b2726ea3426d7d32cb2ba03e240fad33d519af41523f0c8cf6646c90e21cf57"},"schema_version":"1.0"},"canonical_sha256":"5ac803180b9d66b682ea5023f8df2c8bfdb729987ab720537de36034a5c19e2f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:03.363393Z","signature_b64":"44JkxH1f2V93YXZGhLQdvjGXHqvWj4oRCdQZCi6kMbm0QYq2J3msCn+eJya7ASlY/F3k5jrsGQEGC1jpdyhQBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5ac803180b9d66b682ea5023f8df2c8bfdb729987ab720537de36034a5c19e2f","last_reissued_at":"2026-05-18T01:42:03.362785Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:03.362785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.3499","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":"2026-05-18T01:42:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QX91DQlBM/gb3+ZE6Mfxliv0LQgL2K7/xU0nT9xygBASU6rIa4UY2dY6rqrJ1g6B3pqOTo6q16AqLkL/QjsoDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:33:59.203088Z"},"content_sha256":"708e924d8688f83309c17a898b175e278e71f345092fafff0e3bc4e1f3c95c4a","schema_version":"1.0","event_id":"sha256:708e924d8688f83309c17a898b175e278e71f345092fafff0e3bc4e1f3c95c4a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:LLEAGGALTVTLNAXKKAR7RXZMRP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact distributions for stochastic gene expression models with bursting and feedback","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","physics.bio-ph"],"primary_cat":"q-bio.MN","authors_text":"Niraj Kumar, Rahul V. Kulkarni, Thierry Platini","submitted_at":"2014-09-11T16:45:34Z","abstract_excerpt":"Stochasticity in gene expression can give rise to fluctuations in protein levels and lead to phenotypic variation across a population of genetically identical cells. Recent experiments indicate that bursting and feedback mechanisms play important roles in controlling noise in gene expression and phenotypic variation. A quantitative understanding of the impact of these factors requires analysis of the corresponding stochastic models. However, for stochastic models of gene expression with feedback and bursting, exact analytical results for protein distributions have not been obtained so far. Her"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.3499","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":"2026-05-18T01:42:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RmgK0Q6ZKeBn2Gf7TrRjPxXZIbY1ujvW3WpYp9o1YCy9mBs5QCzLOu1E0O2gOjPgSfMsYvkrIE1Ie+/hpParDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:33:59.203546Z"},"content_sha256":"fce3ae6110fefa9970c1e4eadd9c87bcc80533a57f6655e1d55cffd7a2b00a7f","schema_version":"1.0","event_id":"sha256:fce3ae6110fefa9970c1e4eadd9c87bcc80533a57f6655e1d55cffd7a2b00a7f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LLEAGGALTVTLNAXKKAR7RXZMRP/bundle.json","state_url":"https://pith.science/pith/LLEAGGALTVTLNAXKKAR7RXZMRP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LLEAGGALTVTLNAXKKAR7RXZMRP/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":"2026-05-26T16:33:59Z","links":{"resolver":"https://pith.science/pith/LLEAGGALTVTLNAXKKAR7RXZMRP","bundle":"https://pith.science/pith/LLEAGGALTVTLNAXKKAR7RXZMRP/bundle.json","state":"https://pith.science/pith/LLEAGGALTVTLNAXKKAR7RXZMRP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LLEAGGALTVTLNAXKKAR7RXZMRP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:LLEAGGALTVTLNAXKKAR7RXZMRP","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":"4b2726ea3426d7d32cb2ba03e240fad33d519af41523f0c8cf6646c90e21cf57","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2014-09-11T16:45:34Z","title_canon_sha256":"4b642695b5078d9d1ca8f5e66cdc92fb06df91ded02bbb4efffe6fb5394ed631"},"schema_version":"1.0","source":{"id":"1409.3499","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.3499","created_at":"2026-05-18T01:42:03Z"},{"alias_kind":"arxiv_version","alias_value":"1409.3499v2","created_at":"2026-05-18T01:42:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.3499","created_at":"2026-05-18T01:42:03Z"},{"alias_kind":"pith_short_12","alias_value":"LLEAGGALTVTL","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"LLEAGGALTVTLNAXK","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"LLEAGGAL","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:fce3ae6110fefa9970c1e4eadd9c87bcc80533a57f6655e1d55cffd7a2b00a7f","target":"graph","created_at":"2026-05-18T01:42:03Z","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":"Stochasticity in gene expression can give rise to fluctuations in protein levels and lead to phenotypic variation across a population of genetically identical cells. Recent experiments indicate that bursting and feedback mechanisms play important roles in controlling noise in gene expression and phenotypic variation. A quantitative understanding of the impact of these factors requires analysis of the corresponding stochastic models. However, for stochastic models of gene expression with feedback and bursting, exact analytical results for protein distributions have not been obtained so far. Her","authors_text":"Niraj Kumar, Rahul V. Kulkarni, Thierry Platini","cross_cats":["cond-mat.stat-mech","physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2014-09-11T16:45:34Z","title":"Exact distributions for stochastic gene expression models with bursting and feedback"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.3499","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":"sha256:708e924d8688f83309c17a898b175e278e71f345092fafff0e3bc4e1f3c95c4a","target":"record","created_at":"2026-05-18T01:42:03Z","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":"4b2726ea3426d7d32cb2ba03e240fad33d519af41523f0c8cf6646c90e21cf57","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2014-09-11T16:45:34Z","title_canon_sha256":"4b642695b5078d9d1ca8f5e66cdc92fb06df91ded02bbb4efffe6fb5394ed631"},"schema_version":"1.0","source":{"id":"1409.3499","kind":"arxiv","version":2}},"canonical_sha256":"5ac803180b9d66b682ea5023f8df2c8bfdb729987ab720537de36034a5c19e2f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5ac803180b9d66b682ea5023f8df2c8bfdb729987ab720537de36034a5c19e2f","first_computed_at":"2026-05-18T01:42:03.362785Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:42:03.362785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"44JkxH1f2V93YXZGhLQdvjGXHqvWj4oRCdQZCi6kMbm0QYq2J3msCn+eJya7ASlY/F3k5jrsGQEGC1jpdyhQBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:42:03.363393Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.3499","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:708e924d8688f83309c17a898b175e278e71f345092fafff0e3bc4e1f3c95c4a","sha256:fce3ae6110fefa9970c1e4eadd9c87bcc80533a57f6655e1d55cffd7a2b00a7f"],"state_sha256":"773876ac083adbd9eae66b4e313348749f39d266903340909b87139f8d84ee90"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oKla2bQUV8qXGB0oeijp0OLsaHoQGSqTMOuE0qSQjgYk5rT6bM9lRpkwR2SrkvBNhaFEmJMcQjCINtZS8ErNAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T16:33:59.207025Z","bundle_sha256":"a87415ec4bf22b85813ed20bf2ed4d1c225b6f34bfad4b8568252676bf5c98e8"}}