{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:L72C2FKR3P74JWKWZX4MKHI43S","short_pith_number":"pith:L72C2FKR","canonical_record":{"source":{"id":"1705.06479","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2017-05-18T08:58:47Z","cross_cats_sorted":["math.DS","q-bio.MN"],"title_canon_sha256":"324760844adacd70fb28a627e65b0fae31a7bd2198fe3ea70e9aa8ba896abd47","abstract_canon_sha256":"fd938ff14791e89b880a8e0f56e8138e50183f09ecd96897d5a272eb26051af1"},"schema_version":"1.0"},"canonical_sha256":"5ff42d1551dbffc4d956cdf8c51d1cdc8eae0dc015398c755e1baf6ad5f4be6d","source":{"kind":"arxiv","id":"1705.06479","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.06479","created_at":"2026-05-18T00:22:16Z"},{"alias_kind":"arxiv_version","alias_value":"1705.06479v5","created_at":"2026-05-18T00:22:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.06479","created_at":"2026-05-18T00:22:16Z"},{"alias_kind":"pith_short_12","alias_value":"L72C2FKR3P74","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"L72C2FKR3P74JWKW","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"L72C2FKR","created_at":"2026-05-18T12:31:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:L72C2FKR3P74JWKWZX4MKHI43S","target":"record","payload":{"canonical_record":{"source":{"id":"1705.06479","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2017-05-18T08:58:47Z","cross_cats_sorted":["math.DS","q-bio.MN"],"title_canon_sha256":"324760844adacd70fb28a627e65b0fae31a7bd2198fe3ea70e9aa8ba896abd47","abstract_canon_sha256":"fd938ff14791e89b880a8e0f56e8138e50183f09ecd96897d5a272eb26051af1"},"schema_version":"1.0"},"canonical_sha256":"5ff42d1551dbffc4d956cdf8c51d1cdc8eae0dc015398c755e1baf6ad5f4be6d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:16.216082Z","signature_b64":"F3ZuY62hsuUNhRES6W4HJCrHZOmpXDXsvnm+eZh+xYCiVBv3C8dEJQAwZme8Au8Bc9w0vAEPMJ1sPXkwzoTVAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5ff42d1551dbffc4d956cdf8c51d1cdc8eae0dc015398c755e1baf6ad5f4be6d","last_reissued_at":"2026-05-18T00:22:16.215490Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:16.215490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.06479","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:22:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CdadcXaWH1jPn4wwCKR2wX+Mg0jmD3zxfr5WELclSulsT7L2GD+CDHVRq69u86I39k/xDjMs2BjzjSQVXkJGBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T16:02:58.077694Z"},"content_sha256":"728ce3f4e6c913e1bad785b6de96cb5775f82db5562458ac0e01032f3c0f922f","schema_version":"1.0","event_id":"sha256:728ce3f4e6c913e1bad785b6de96cb5775f82db5562458ac0e01032f3c0f922f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:L72C2FKR3P74JWKWZX4MKHI43S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Likelihood for transcriptions in a genetic regulatory system under asymmetric stable L\\'evy noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","q-bio.MN"],"primary_cat":"physics.bio-ph","authors_text":"Hui Wang, Jinqiao Duan, J\\\"urgen Kurths, Xiaofan Li, Xiujun Cheng","submitted_at":"2017-05-18T08:58:47Z","abstract_excerpt":"This work is devoted to investigating the evolution of concentration in a genetic regulation system, when the synthesis reaction rate is under additive and multiplicative asymmetric stable L\\'evy fluctuations. By focusing on the impact of skewness (i.e., non-symmetry) in the probability distributions of noise, we find that via examining the mean first exit time (MFET) and the first escape probability (FEP), the asymmetric fluctuations, interacting with nonlinearity in the system, lead to peculiar likelihood for transcription. This includes, in the additive noise case, realizing higher likeliho"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.06479","kind":"arxiv","version":5},"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":"2026-05-18T00:22:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZC4R1Btq1UYgCjlIMReU+0PEyN8BR6pgOMEK3a3ODK+5yBFMvwoDH6P4zWSP0iLswotSt5PvK6UrxlKXEVz+BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T16:02:58.078047Z"},"content_sha256":"92910c36cc6dae2ba5f40c08c978bdca5795fd5fe1b790bcc56fc6ee661bbc9a","schema_version":"1.0","event_id":"sha256:92910c36cc6dae2ba5f40c08c978bdca5795fd5fe1b790bcc56fc6ee661bbc9a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L72C2FKR3P74JWKWZX4MKHI43S/bundle.json","state_url":"https://pith.science/pith/L72C2FKR3P74JWKWZX4MKHI43S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L72C2FKR3P74JWKWZX4MKHI43S/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":"2026-06-05T16:02:58Z","links":{"resolver":"https://pith.science/pith/L72C2FKR3P74JWKWZX4MKHI43S","bundle":"https://pith.science/pith/L72C2FKR3P74JWKWZX4MKHI43S/bundle.json","state":"https://pith.science/pith/L72C2FKR3P74JWKWZX4MKHI43S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L72C2FKR3P74JWKWZX4MKHI43S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:L72C2FKR3P74JWKWZX4MKHI43S","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":"fd938ff14791e89b880a8e0f56e8138e50183f09ecd96897d5a272eb26051af1","cross_cats_sorted":["math.DS","q-bio.MN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2017-05-18T08:58:47Z","title_canon_sha256":"324760844adacd70fb28a627e65b0fae31a7bd2198fe3ea70e9aa8ba896abd47"},"schema_version":"1.0","source":{"id":"1705.06479","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.06479","created_at":"2026-05-18T00:22:16Z"},{"alias_kind":"arxiv_version","alias_value":"1705.06479v5","created_at":"2026-05-18T00:22:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.06479","created_at":"2026-05-18T00:22:16Z"},{"alias_kind":"pith_short_12","alias_value":"L72C2FKR3P74","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"L72C2FKR3P74JWKW","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"L72C2FKR","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:92910c36cc6dae2ba5f40c08c978bdca5795fd5fe1b790bcc56fc6ee661bbc9a","target":"graph","created_at":"2026-05-18T00:22:16Z","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":"This work is devoted to investigating the evolution of concentration in a genetic regulation system, when the synthesis reaction rate is under additive and multiplicative asymmetric stable L\\'evy fluctuations. By focusing on the impact of skewness (i.e., non-symmetry) in the probability distributions of noise, we find that via examining the mean first exit time (MFET) and the first escape probability (FEP), the asymmetric fluctuations, interacting with nonlinearity in the system, lead to peculiar likelihood for transcription. This includes, in the additive noise case, realizing higher likeliho","authors_text":"Hui Wang, Jinqiao Duan, J\\\"urgen Kurths, Xiaofan Li, Xiujun Cheng","cross_cats":["math.DS","q-bio.MN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2017-05-18T08:58:47Z","title":"Likelihood for transcriptions in a genetic regulatory system under asymmetric stable L\\'evy noise"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.06479","kind":"arxiv","version":5},"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":"sha256:728ce3f4e6c913e1bad785b6de96cb5775f82db5562458ac0e01032f3c0f922f","target":"record","created_at":"2026-05-18T00:22:16Z","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":"fd938ff14791e89b880a8e0f56e8138e50183f09ecd96897d5a272eb26051af1","cross_cats_sorted":["math.DS","q-bio.MN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2017-05-18T08:58:47Z","title_canon_sha256":"324760844adacd70fb28a627e65b0fae31a7bd2198fe3ea70e9aa8ba896abd47"},"schema_version":"1.0","source":{"id":"1705.06479","kind":"arxiv","version":5}},"canonical_sha256":"5ff42d1551dbffc4d956cdf8c51d1cdc8eae0dc015398c755e1baf6ad5f4be6d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5ff42d1551dbffc4d956cdf8c51d1cdc8eae0dc015398c755e1baf6ad5f4be6d","first_computed_at":"2026-05-18T00:22:16.215490Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:16.215490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F3ZuY62hsuUNhRES6W4HJCrHZOmpXDXsvnm+eZh+xYCiVBv3C8dEJQAwZme8Au8Bc9w0vAEPMJ1sPXkwzoTVAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:16.216082Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.06479","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:728ce3f4e6c913e1bad785b6de96cb5775f82db5562458ac0e01032f3c0f922f","sha256:92910c36cc6dae2ba5f40c08c978bdca5795fd5fe1b790bcc56fc6ee661bbc9a"],"state_sha256":"8e6de44555b9c88315fafa92af6c2c79cf520785ff92ee8b21e76bc3c89454f1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S0gtdcrJqHnOS69A+2KEAf2gWv4/HETrOHgUwx1W8S1FW86KEIiF24jlVbmfCTCtXf/IpxfmqCLBIPhsjxGwCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T16:02:58.079990Z","bundle_sha256":"11bbb1363172b2b8e748c4b6f8f580690c3655d86b387200d4eff988891ae82a"}}