{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:3UNJIPR6RJZLO3T4VKNWDZCPIU","short_pith_number":"pith:3UNJIPR6","canonical_record":{"source":{"id":"q-bio/0512041","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"q-bio.SC","submitted_at":"2005-12-23T17:29:34Z","cross_cats_sorted":["cond-mat.stat-mech","q-bio.MN"],"title_canon_sha256":"893dd0988dcc685f3578d22f42ee199e0e78a307003aced4287947692c06f4f8","abstract_canon_sha256":"d3b9673f247a1ffc8c960cdab24fe293d7ca1ba26993d7035d4aa235126f73ae"},"schema_version":"1.0"},"canonical_sha256":"dd1a943e3e8a72b76e7caa9b61e44f450887066c294c64ddf10886db55852883","source":{"kind":"arxiv","id":"q-bio/0512041","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"q-bio/0512041","created_at":"2026-07-04T16:57:27Z"},{"alias_kind":"arxiv_version","alias_value":"q-bio/0512041v1","created_at":"2026-07-04T16:57:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-bio/0512041","created_at":"2026-07-04T16:57:27Z"},{"alias_kind":"pith_short_12","alias_value":"3UNJIPR6RJZL","created_at":"2026-07-04T16:57:27Z"},{"alias_kind":"pith_short_16","alias_value":"3UNJIPR6RJZLO3T4","created_at":"2026-07-04T16:57:27Z"},{"alias_kind":"pith_short_8","alias_value":"3UNJIPR6","created_at":"2026-07-04T16:57:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:3UNJIPR6RJZLO3T4VKNWDZCPIU","target":"record","payload":{"canonical_record":{"source":{"id":"q-bio/0512041","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"q-bio.SC","submitted_at":"2005-12-23T17:29:34Z","cross_cats_sorted":["cond-mat.stat-mech","q-bio.MN"],"title_canon_sha256":"893dd0988dcc685f3578d22f42ee199e0e78a307003aced4287947692c06f4f8","abstract_canon_sha256":"d3b9673f247a1ffc8c960cdab24fe293d7ca1ba26993d7035d4aa235126f73ae"},"schema_version":"1.0"},"canonical_sha256":"dd1a943e3e8a72b76e7caa9b61e44f450887066c294c64ddf10886db55852883","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:57:27.613952Z","signature_b64":"T0jI9vCo32unuYsR0vklDwLSXNqglYL9b9AIHfVzfC1M8bHw2nMh4BeyHpi5UvXJwg58kRh9XiySeHtTJy4vCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd1a943e3e8a72b76e7caa9b61e44f450887066c294c64ddf10886db55852883","last_reissued_at":"2026-07-04T16:57:27.613561Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:57:27.613561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"q-bio/0512041","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":"2026-07-04T16:57:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qSLEgQjBA6mk3PG7MvxVwjK9rIXcukHTzaeez+Nhc1WlX0/DMDMF38wEdskxaGcMm9AkgBYoXFPsp4NkepRHDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T09:13:13.411133Z"},"content_sha256":"66a20d71d4a28dc124c1ad23b30389f6b95aa5f75c6e375a6101f11fce924d17","schema_version":"1.0","event_id":"sha256:66a20d71d4a28dc124c1ad23b30389f6b95aa5f75c6e375a6101f11fce924d17"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:3UNJIPR6RJZLO3T4VKNWDZCPIU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact results for noise power spectra in linear biochemical reaction networks","license":"","headline":"","cross_cats":["cond-mat.stat-mech","q-bio.MN"],"primary_cat":"q-bio.SC","authors_text":"Patrick B. Warren, Pieter Rein ten Wolde, Sorin Tanase-Nicola","submitted_at":"2005-12-23T17:29:34Z","abstract_excerpt":"We present a simple method for determining the exact noise power spectra in linear chemical reaction networks. We apply the method to networks which are representative of biochemical processes such as gene expression and signal detection. Our results clarify how noise is transmitted by signal detection motifs, and indicate how to coarse-grain networks by the elimination of fast reactions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-bio/0512041","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/q-bio/0512041/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":"2026-07-04T16:57:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nh8oQy3wT/nFAbrakAjkai2hgP0C5f9EJu/lSCctHJCvArSlNUSr1uP/ZHNSYeSKomEl0kul2zFDWLzG5mYUDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T09:13:13.412025Z"},"content_sha256":"fb09dd5db1f110161f5ab037da229e7a0a42b5cb8a9b7dce466e88bf44e63013","schema_version":"1.0","event_id":"sha256:fb09dd5db1f110161f5ab037da229e7a0a42b5cb8a9b7dce466e88bf44e63013"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3UNJIPR6RJZLO3T4VKNWDZCPIU/bundle.json","state_url":"https://pith.science/pith/3UNJIPR6RJZLO3T4VKNWDZCPIU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3UNJIPR6RJZLO3T4VKNWDZCPIU/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":"2026-08-11T09:13:13Z","links":{"resolver":"https://pith.science/pith/3UNJIPR6RJZLO3T4VKNWDZCPIU","bundle":"https://pith.science/pith/3UNJIPR6RJZLO3T4VKNWDZCPIU/bundle.json","state":"https://pith.science/pith/3UNJIPR6RJZLO3T4VKNWDZCPIU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3UNJIPR6RJZLO3T4VKNWDZCPIU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:3UNJIPR6RJZLO3T4VKNWDZCPIU","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":"d3b9673f247a1ffc8c960cdab24fe293d7ca1ba26993d7035d4aa235126f73ae","cross_cats_sorted":["cond-mat.stat-mech","q-bio.MN"],"license":"","primary_cat":"q-bio.SC","submitted_at":"2005-12-23T17:29:34Z","title_canon_sha256":"893dd0988dcc685f3578d22f42ee199e0e78a307003aced4287947692c06f4f8"},"schema_version":"1.0","source":{"id":"q-bio/0512041","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"q-bio/0512041","created_at":"2026-07-04T16:57:27Z"},{"alias_kind":"arxiv_version","alias_value":"q-bio/0512041v1","created_at":"2026-07-04T16:57:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-bio/0512041","created_at":"2026-07-04T16:57:27Z"},{"alias_kind":"pith_short_12","alias_value":"3UNJIPR6RJZL","created_at":"2026-07-04T16:57:27Z"},{"alias_kind":"pith_short_16","alias_value":"3UNJIPR6RJZLO3T4","created_at":"2026-07-04T16:57:27Z"},{"alias_kind":"pith_short_8","alias_value":"3UNJIPR6","created_at":"2026-07-04T16:57:27Z"}],"graph_snapshots":[{"event_id":"sha256:fb09dd5db1f110161f5ab037da229e7a0a42b5cb8a9b7dce466e88bf44e63013","target":"graph","created_at":"2026-07-04T16:57:27Z","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/q-bio/0512041/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a simple method for determining the exact noise power spectra in linear chemical reaction networks. We apply the method to networks which are representative of biochemical processes such as gene expression and signal detection. Our results clarify how noise is transmitted by signal detection motifs, and indicate how to coarse-grain networks by the elimination of fast reactions.","authors_text":"Patrick B. Warren, Pieter Rein ten Wolde, Sorin Tanase-Nicola","cross_cats":["cond-mat.stat-mech","q-bio.MN"],"headline":"","license":"","primary_cat":"q-bio.SC","submitted_at":"2005-12-23T17:29:34Z","title":"Exact results for noise power spectra in linear biochemical reaction networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-bio/0512041","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":"sha256:66a20d71d4a28dc124c1ad23b30389f6b95aa5f75c6e375a6101f11fce924d17","target":"record","created_at":"2026-07-04T16:57:27Z","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":"d3b9673f247a1ffc8c960cdab24fe293d7ca1ba26993d7035d4aa235126f73ae","cross_cats_sorted":["cond-mat.stat-mech","q-bio.MN"],"license":"","primary_cat":"q-bio.SC","submitted_at":"2005-12-23T17:29:34Z","title_canon_sha256":"893dd0988dcc685f3578d22f42ee199e0e78a307003aced4287947692c06f4f8"},"schema_version":"1.0","source":{"id":"q-bio/0512041","kind":"arxiv","version":1}},"canonical_sha256":"dd1a943e3e8a72b76e7caa9b61e44f450887066c294c64ddf10886db55852883","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd1a943e3e8a72b76e7caa9b61e44f450887066c294c64ddf10886db55852883","first_computed_at":"2026-07-04T16:57:27.613561Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:57:27.613561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T0jI9vCo32unuYsR0vklDwLSXNqglYL9b9AIHfVzfC1M8bHw2nMh4BeyHpi5UvXJwg58kRh9XiySeHtTJy4vCg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:57:27.613952Z","signed_message":"canonical_sha256_bytes"},"source_id":"q-bio/0512041","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:66a20d71d4a28dc124c1ad23b30389f6b95aa5f75c6e375a6101f11fce924d17","sha256:fb09dd5db1f110161f5ab037da229e7a0a42b5cb8a9b7dce466e88bf44e63013"],"state_sha256":"d3a19d43016b481bfbda3f7972bf3a15450ade03c7f9f91e5a600407d0b7c606"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WYthUoC29bL/q8GanFPzVLNzzyzj1y491Aij3f9tASYligEJ8ClBx0C1urBASkcPC42aF5UAljMjz8WfLevxAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T09:13:13.418806Z","bundle_sha256":"832bee408bca81e12eaef34edd8ebc89a669a604cf21bf4b03755452e7e151ee"}}