{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:KPTIBOQRJBMP4GONEJDT4OY4DR","short_pith_number":"pith:KPTIBOQR","canonical_record":{"source":{"id":"1002.2474","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2010-02-12T05:11:01Z","cross_cats_sorted":["q-bio.SC"],"title_canon_sha256":"d671fede1289bc1a4a1119159e5c9aa789fbe9efb912ded7c5ea8ac5ebda831a","abstract_canon_sha256":"5a057782b1cfd4f63f2c6322c9df4b7fcbbdbc9ae15020753bf2ad6223e7672b"},"schema_version":"1.0"},"canonical_sha256":"53e680ba114858fe19cd22473e3b1c1c42bebaeb89b0f7fdf7fd58e2a74c646f","source":{"kind":"arxiv","id":"1002.2474","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.2474","created_at":"2026-05-18T04:41:45Z"},{"alias_kind":"arxiv_version","alias_value":"1002.2474v1","created_at":"2026-05-18T04:41:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.2474","created_at":"2026-05-18T04:41:45Z"},{"alias_kind":"pith_short_12","alias_value":"KPTIBOQRJBMP","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"KPTIBOQRJBMP4GON","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"KPTIBOQR","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:KPTIBOQRJBMP4GONEJDT4OY4DR","target":"record","payload":{"canonical_record":{"source":{"id":"1002.2474","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2010-02-12T05:11:01Z","cross_cats_sorted":["q-bio.SC"],"title_canon_sha256":"d671fede1289bc1a4a1119159e5c9aa789fbe9efb912ded7c5ea8ac5ebda831a","abstract_canon_sha256":"5a057782b1cfd4f63f2c6322c9df4b7fcbbdbc9ae15020753bf2ad6223e7672b"},"schema_version":"1.0"},"canonical_sha256":"53e680ba114858fe19cd22473e3b1c1c42bebaeb89b0f7fdf7fd58e2a74c646f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:41:45.699757Z","signature_b64":"eDWMq5dcXlv/Yi6GSj8JpEdZM7nP9rR/aSNTcouuV5GbBS94yLYkhubggfDMl5qlEWrOrGbirek3z7Fq/XWeDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53e680ba114858fe19cd22473e3b1c1c42bebaeb89b0f7fdf7fd58e2a74c646f","last_reissued_at":"2026-05-18T04:41:45.699367Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:41:45.699367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1002.2474","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":"2026-05-18T04:41:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BxmLGZ2bsxT8PRyBNXMijUeAm36jXLqZDErw1gNN3HHuPMWWRHagWWU0OdVzg+ykEwLKiL7l4YwBS0Dw9lSaAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T14:03:36.994764Z"},"content_sha256":"246cb63a6ff9836b7de0c3a48a5c94a9e233bcf76011b22f2dba1d330ed05630","schema_version":"1.0","event_id":"sha256:246cb63a6ff9836b7de0c3a48a5c94a9e233bcf76011b22f2dba1d330ed05630"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:KPTIBOQRJBMP4GONEJDT4OY4DR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Telling time with an intrinsically noisy clock","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.SC"],"primary_cat":"q-bio.MN","authors_text":"Aleksandra M. Walczak, Andrew Mugler, Chris H. Wiggins","submitted_at":"2010-02-12T05:11:01Z","abstract_excerpt":"Intracellular transmission of information via chemical and transcriptional networks is thwarted by a physical limitation: the finite copy number of the constituent chemical species introduces unavoidable intrinsic noise. Here we provide a method for solving for the complete probabilistic description of intrinsically noisy oscillatory driving. We derive and numerically verify a number of simple scaling laws. Unlike in the case of measuring a static quantity, response to an oscillatory driving can exhibit a resonant frequency which maximizes information transmission. Further, we show that the op"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.2474","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":""},"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":"2026-05-18T04:41:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0oQVgX3IAZXdwrhrQrpNHeXX+H8rY7OhDP5JxCWhDDKaKDD5VgD9EEDK71JUXvZIovpJrH+eUznPz+Gley/DAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T14:03:36.995134Z"},"content_sha256":"5c925ae746f32d070f7546e0600e05e7cd5bdc35c6e4a0320083136d61e213ce","schema_version":"1.0","event_id":"sha256:5c925ae746f32d070f7546e0600e05e7cd5bdc35c6e4a0320083136d61e213ce"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KPTIBOQRJBMP4GONEJDT4OY4DR/bundle.json","state_url":"https://pith.science/pith/KPTIBOQRJBMP4GONEJDT4OY4DR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KPTIBOQRJBMP4GONEJDT4OY4DR/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":"2026-06-05T14:03:36Z","links":{"resolver":"https://pith.science/pith/KPTIBOQRJBMP4GONEJDT4OY4DR","bundle":"https://pith.science/pith/KPTIBOQRJBMP4GONEJDT4OY4DR/bundle.json","state":"https://pith.science/pith/KPTIBOQRJBMP4GONEJDT4OY4DR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KPTIBOQRJBMP4GONEJDT4OY4DR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:KPTIBOQRJBMP4GONEJDT4OY4DR","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":"5a057782b1cfd4f63f2c6322c9df4b7fcbbdbc9ae15020753bf2ad6223e7672b","cross_cats_sorted":["q-bio.SC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2010-02-12T05:11:01Z","title_canon_sha256":"d671fede1289bc1a4a1119159e5c9aa789fbe9efb912ded7c5ea8ac5ebda831a"},"schema_version":"1.0","source":{"id":"1002.2474","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.2474","created_at":"2026-05-18T04:41:45Z"},{"alias_kind":"arxiv_version","alias_value":"1002.2474v1","created_at":"2026-05-18T04:41:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.2474","created_at":"2026-05-18T04:41:45Z"},{"alias_kind":"pith_short_12","alias_value":"KPTIBOQRJBMP","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"KPTIBOQRJBMP4GON","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"KPTIBOQR","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:5c925ae746f32d070f7546e0600e05e7cd5bdc35c6e4a0320083136d61e213ce","target":"graph","created_at":"2026-05-18T04:41:45Z","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":"Intracellular transmission of information via chemical and transcriptional networks is thwarted by a physical limitation: the finite copy number of the constituent chemical species introduces unavoidable intrinsic noise. Here we provide a method for solving for the complete probabilistic description of intrinsically noisy oscillatory driving. We derive and numerically verify a number of simple scaling laws. Unlike in the case of measuring a static quantity, response to an oscillatory driving can exhibit a resonant frequency which maximizes information transmission. Further, we show that the op","authors_text":"Aleksandra M. Walczak, Andrew Mugler, Chris H. Wiggins","cross_cats":["q-bio.SC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2010-02-12T05:11:01Z","title":"Telling time with an intrinsically noisy clock"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.2474","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":"sha256:246cb63a6ff9836b7de0c3a48a5c94a9e233bcf76011b22f2dba1d330ed05630","target":"record","created_at":"2026-05-18T04:41:45Z","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":"5a057782b1cfd4f63f2c6322c9df4b7fcbbdbc9ae15020753bf2ad6223e7672b","cross_cats_sorted":["q-bio.SC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2010-02-12T05:11:01Z","title_canon_sha256":"d671fede1289bc1a4a1119159e5c9aa789fbe9efb912ded7c5ea8ac5ebda831a"},"schema_version":"1.0","source":{"id":"1002.2474","kind":"arxiv","version":1}},"canonical_sha256":"53e680ba114858fe19cd22473e3b1c1c42bebaeb89b0f7fdf7fd58e2a74c646f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53e680ba114858fe19cd22473e3b1c1c42bebaeb89b0f7fdf7fd58e2a74c646f","first_computed_at":"2026-05-18T04:41:45.699367Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:41:45.699367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eDWMq5dcXlv/Yi6GSj8JpEdZM7nP9rR/aSNTcouuV5GbBS94yLYkhubggfDMl5qlEWrOrGbirek3z7Fq/XWeDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:41:45.699757Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.2474","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:246cb63a6ff9836b7de0c3a48a5c94a9e233bcf76011b22f2dba1d330ed05630","sha256:5c925ae746f32d070f7546e0600e05e7cd5bdc35c6e4a0320083136d61e213ce"],"state_sha256":"b3eb21b5317acc2ab977b13aa36fce48a849ec3515e5ec02227fdc85cfd185e7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"04Zjcqj5uMIXpml4mkc08uAi6qExBKOKRT8NdAvRwBVv6gCtHVta8AWTWbfYj7WiAlQZDLbTiuiaMHaKyXTSDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T14:03:36.997353Z","bundle_sha256":"c2e5b651e1ed5e07d893053c92af4ba3c02eda660974ace405212926673aee26"}}