{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:Y5BXFASC2SP7Q24UP6GL67LN4R","short_pith_number":"pith:Y5BXFASC","canonical_record":{"source":{"id":"physics/0306177","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.bio-ph","submitted_at":"2003-06-25T07:41:08Z","cross_cats_sorted":["q-bio"],"title_canon_sha256":"4de454a9d96f5eabea6f357687520ddf83b33b1f734af0cff3d578322a8f8f8a","abstract_canon_sha256":"cb90285c62dff6812958ba4f96d332b38e0be200468ab97b7311d86c4f9d0086"},"schema_version":"1.0"},"canonical_sha256":"c743728242d49ff86b947f8cbf7d6de4679e09d91eae65959f76d58a700e35c5","source":{"kind":"arxiv","id":"physics/0306177","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0306177","created_at":"2026-07-04T14:43:58Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0306177v1","created_at":"2026-07-04T14:43:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0306177","created_at":"2026-07-04T14:43:58Z"},{"alias_kind":"pith_short_12","alias_value":"Y5BXFASC2SP7","created_at":"2026-07-04T14:43:58Z"},{"alias_kind":"pith_short_16","alias_value":"Y5BXFASC2SP7Q24U","created_at":"2026-07-04T14:43:58Z"},{"alias_kind":"pith_short_8","alias_value":"Y5BXFASC","created_at":"2026-07-04T14:43:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:Y5BXFASC2SP7Q24UP6GL67LN4R","target":"record","payload":{"canonical_record":{"source":{"id":"physics/0306177","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.bio-ph","submitted_at":"2003-06-25T07:41:08Z","cross_cats_sorted":["q-bio"],"title_canon_sha256":"4de454a9d96f5eabea6f357687520ddf83b33b1f734af0cff3d578322a8f8f8a","abstract_canon_sha256":"cb90285c62dff6812958ba4f96d332b38e0be200468ab97b7311d86c4f9d0086"},"schema_version":"1.0"},"canonical_sha256":"c743728242d49ff86b947f8cbf7d6de4679e09d91eae65959f76d58a700e35c5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:43:58.574799Z","signature_b64":"TpaKqDB9DfDS96JILUTXWuBD2IKku330JIrkqLYa/efGkZMlKf4OebD55qaDoWZWRiUMJfAST6mp3B21O6NhAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c743728242d49ff86b947f8cbf7d6de4679e09d91eae65959f76d58a700e35c5","last_reissued_at":"2026-07-04T14:43:58.574368Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:43:58.574368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"physics/0306177","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:43:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JrqJxsR8+YP4Er6o2FDp7W2AUYf+mUpN0KeJ7PdTWvx7eH7c+S9eEyTHfC2Lm+8VdTN/TJlbqizEzWZU7CptBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-09T10:36:01.364061Z"},"content_sha256":"08c7a76167143880a87b4b92c6ef6ebad372d39baa455fb58b1172aaf8851b88","schema_version":"1.0","event_id":"sha256:08c7a76167143880a87b4b92c6ef6ebad372d39baa455fb58b1172aaf8851b88"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:Y5BXFASC2SP7Q24UP6GL67LN4R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Noise in an insect outbreak model","license":"","headline":"","cross_cats":["q-bio"],"primary_cat":"physics.bio-ph","authors_text":"Bao-Quan Ai, De-Hua Wen, Guo-Tao Liu, Hui-Zhang Xie, Liang-gang Liu, Wei Chen, Xian-Ju Wang","submitted_at":"2003-06-25T07:41:08Z","abstract_excerpt":"We study the steady state properties of an insect (spruce budworm) outbreak model in the presence of Gaussian white noise. Based on the corresponding Fokker-Planck equation the steady state solution of the probability distribution function and its extrema have been investigated. It was found that fluctuations of the insect birth rate reduces the population of the insects while fluctuations of predation rate and the noise correlation can prevent the population of the insects from going into extinction. Noise in the model can induce a phase transition."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0306177","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/physics/0306177/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T14:43:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wkui5laGM1Meaj6UyiClE0BtnkytO89+mirN7IpV3D9WZ9X7LSjDLnwl69S1SyUF1bVZnJv7i1h3/nqlrtiaBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-09T10:36:01.364446Z"},"content_sha256":"af7cb272b353873e1d07316dfca8874b04cfe52edddbb6174c3ca0433345b930","schema_version":"1.0","event_id":"sha256:af7cb272b353873e1d07316dfca8874b04cfe52edddbb6174c3ca0433345b930"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y5BXFASC2SP7Q24UP6GL67LN4R/bundle.json","state_url":"https://pith.science/pith/Y5BXFASC2SP7Q24UP6GL67LN4R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y5BXFASC2SP7Q24UP6GL67LN4R/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":"2026-07-09T10:36:01Z","links":{"resolver":"https://pith.science/pith/Y5BXFASC2SP7Q24UP6GL67LN4R","bundle":"https://pith.science/pith/Y5BXFASC2SP7Q24UP6GL67LN4R/bundle.json","state":"https://pith.science/pith/Y5BXFASC2SP7Q24UP6GL67LN4R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y5BXFASC2SP7Q24UP6GL67LN4R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:Y5BXFASC2SP7Q24UP6GL67LN4R","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":"cb90285c62dff6812958ba4f96d332b38e0be200468ab97b7311d86c4f9d0086","cross_cats_sorted":["q-bio"],"license":"","primary_cat":"physics.bio-ph","submitted_at":"2003-06-25T07:41:08Z","title_canon_sha256":"4de454a9d96f5eabea6f357687520ddf83b33b1f734af0cff3d578322a8f8f8a"},"schema_version":"1.0","source":{"id":"physics/0306177","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0306177","created_at":"2026-07-04T14:43:58Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0306177v1","created_at":"2026-07-04T14:43:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0306177","created_at":"2026-07-04T14:43:58Z"},{"alias_kind":"pith_short_12","alias_value":"Y5BXFASC2SP7","created_at":"2026-07-04T14:43:58Z"},{"alias_kind":"pith_short_16","alias_value":"Y5BXFASC2SP7Q24U","created_at":"2026-07-04T14:43:58Z"},{"alias_kind":"pith_short_8","alias_value":"Y5BXFASC","created_at":"2026-07-04T14:43:58Z"}],"graph_snapshots":[{"event_id":"sha256:af7cb272b353873e1d07316dfca8874b04cfe52edddbb6174c3ca0433345b930","target":"graph","created_at":"2026-07-04T14:43:58Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/physics/0306177/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the steady state properties of an insect (spruce budworm) outbreak model in the presence of Gaussian white noise. Based on the corresponding Fokker-Planck equation the steady state solution of the probability distribution function and its extrema have been investigated. It was found that fluctuations of the insect birth rate reduces the population of the insects while fluctuations of predation rate and the noise correlation can prevent the population of the insects from going into extinction. Noise in the model can induce a phase transition.","authors_text":"Bao-Quan Ai, De-Hua Wen, Guo-Tao Liu, Hui-Zhang Xie, Liang-gang Liu, Wei Chen, Xian-Ju Wang","cross_cats":["q-bio"],"headline":"","license":"","primary_cat":"physics.bio-ph","submitted_at":"2003-06-25T07:41:08Z","title":"Noise in an insect outbreak model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0306177","kind":"arxiv","version":1},"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":"sha256:08c7a76167143880a87b4b92c6ef6ebad372d39baa455fb58b1172aaf8851b88","target":"record","created_at":"2026-07-04T14:43:58Z","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":"cb90285c62dff6812958ba4f96d332b38e0be200468ab97b7311d86c4f9d0086","cross_cats_sorted":["q-bio"],"license":"","primary_cat":"physics.bio-ph","submitted_at":"2003-06-25T07:41:08Z","title_canon_sha256":"4de454a9d96f5eabea6f357687520ddf83b33b1f734af0cff3d578322a8f8f8a"},"schema_version":"1.0","source":{"id":"physics/0306177","kind":"arxiv","version":1}},"canonical_sha256":"c743728242d49ff86b947f8cbf7d6de4679e09d91eae65959f76d58a700e35c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c743728242d49ff86b947f8cbf7d6de4679e09d91eae65959f76d58a700e35c5","first_computed_at":"2026-07-04T14:43:58.574368Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:43:58.574368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TpaKqDB9DfDS96JILUTXWuBD2IKku330JIrkqLYa/efGkZMlKf4OebD55qaDoWZWRiUMJfAST6mp3B21O6NhAA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:43:58.574799Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/0306177","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08c7a76167143880a87b4b92c6ef6ebad372d39baa455fb58b1172aaf8851b88","sha256:af7cb272b353873e1d07316dfca8874b04cfe52edddbb6174c3ca0433345b930"],"state_sha256":"dc5d52dbb5790901cfc16d2fdb03dee995e5c23d628d6b302249cc2ae515b4c3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f8uTvTBGG1SjPxDXoJfJzyfDrQb5CE8yPw1bG3YlNaYO/EM5EReLzOeIY9QBw5mcSYuIMPAT8MY1vCHbSRWNBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-09T10:36:01.366430Z","bundle_sha256":"57d41658915a0f0fab25480856e205878c2d97879f5e53914c5e1762f2abdd83"}}