{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:NAQK34HJ7U3EEET7P7ZDN3Q5BS","short_pith_number":"pith:NAQK34HJ","canonical_record":{"source":{"id":"1606.03235","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2016-06-10T09:06:11Z","cross_cats_sorted":["cond-mat.dis-nn","nlin.AO"],"title_canon_sha256":"0fee5d84aac625145a91609d1c22f9ed71334893929827641aea36f67c7c5e3b","abstract_canon_sha256":"de25f118c67e19bd1e5b47ab82033aa4cc79bd26cc6dbcd324c9be7eeefba54d"},"schema_version":"1.0"},"canonical_sha256":"6820adf0e9fd3642127f7ff236ee1d0cbd150a02ff4c22b7c638d932c8e39969","source":{"kind":"arxiv","id":"1606.03235","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.03235","created_at":"2026-05-18T01:02:49Z"},{"alias_kind":"arxiv_version","alias_value":"1606.03235v1","created_at":"2026-05-18T01:02:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.03235","created_at":"2026-05-18T01:02:49Z"},{"alias_kind":"pith_short_12","alias_value":"NAQK34HJ7U3E","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"NAQK34HJ7U3EEET7","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"NAQK34HJ","created_at":"2026-05-18T12:30:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:NAQK34HJ7U3EEET7P7ZDN3Q5BS","target":"record","payload":{"canonical_record":{"source":{"id":"1606.03235","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2016-06-10T09:06:11Z","cross_cats_sorted":["cond-mat.dis-nn","nlin.AO"],"title_canon_sha256":"0fee5d84aac625145a91609d1c22f9ed71334893929827641aea36f67c7c5e3b","abstract_canon_sha256":"de25f118c67e19bd1e5b47ab82033aa4cc79bd26cc6dbcd324c9be7eeefba54d"},"schema_version":"1.0"},"canonical_sha256":"6820adf0e9fd3642127f7ff236ee1d0cbd150a02ff4c22b7c638d932c8e39969","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:02:49.762718Z","signature_b64":"BzZfascqwg4he/EJNnXelqDUQN1UezQE4M5xS6k3HnC7pue9y+ZPMEdl3vEduWePr6dDzD6vqL4f7ZITjlk1BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6820adf0e9fd3642127f7ff236ee1d0cbd150a02ff4c22b7c638d932c8e39969","last_reissued_at":"2026-05-18T01:02:49.762085Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:02:49.762085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.03235","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":"2026-05-18T01:02:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LE5bJ2c5UhPFfGn1+3gOJvk88yjMiTSpeLHNaJRnlYFdR7PZ2doGxNcE7cYlbkUHcRNeACssIw+6EW1BLpowAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:09:10.991228Z"},"content_sha256":"6c4122545b6f7c1d6e529948835aec7d0f6062468dbaa97e7a62d2ba2bfa7f09","schema_version":"1.0","event_id":"sha256:6c4122545b6f7c1d6e529948835aec7d0f6062468dbaa97e7a62d2ba2bfa7f09"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:NAQK34HJ7U3EEET7P7ZDN3Q5BS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Intrinsic noise and deviations from criticality in Boolean gene-regulatory networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","nlin.AO"],"primary_cat":"q-bio.MN","authors_text":"Jorge Hidalgo, Jos\\'e Ruiz-Franco, Miguel A. Mu\\~noz, Pablo Villegas","submitted_at":"2016-06-10T09:06:11Z","abstract_excerpt":"Gene regulatory networks can be successfully modeled as Boolean networks. A much discussed hypothesis says that such model networks reproduce empirical findings the best if they are tuned to operate at criticality, i.e. at the borderline between their ordered and disordered phases. Critical networks have been argued to lead to a number of functional advantages such as maximal dynamical range, maximal sensitivity to environmental changes, as well as to an excellent trade off between stability and flexibility. Here, we study the effect of noise within the context of Boolean networks trained to l"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.03235","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":"2026-05-18T01:02:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1tdYxx9zdCshok6oKgk9GnjH6R+ArKpNFfLMgu9MCeF9fA09DEDFYp7/q582Fr6s4qdMEY5bM+blmLVrmtWWAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T04:09:10.991596Z"},"content_sha256":"32116dd57d5c25c430d315c965c2ff565ea2f133943b8c425a44b515cc66c6ee","schema_version":"1.0","event_id":"sha256:32116dd57d5c25c430d315c965c2ff565ea2f133943b8c425a44b515cc66c6ee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NAQK34HJ7U3EEET7P7ZDN3Q5BS/bundle.json","state_url":"https://pith.science/pith/NAQK34HJ7U3EEET7P7ZDN3Q5BS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NAQK34HJ7U3EEET7P7ZDN3Q5BS/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":"2026-06-02T04:09:10Z","links":{"resolver":"https://pith.science/pith/NAQK34HJ7U3EEET7P7ZDN3Q5BS","bundle":"https://pith.science/pith/NAQK34HJ7U3EEET7P7ZDN3Q5BS/bundle.json","state":"https://pith.science/pith/NAQK34HJ7U3EEET7P7ZDN3Q5BS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NAQK34HJ7U3EEET7P7ZDN3Q5BS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:NAQK34HJ7U3EEET7P7ZDN3Q5BS","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":"de25f118c67e19bd1e5b47ab82033aa4cc79bd26cc6dbcd324c9be7eeefba54d","cross_cats_sorted":["cond-mat.dis-nn","nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2016-06-10T09:06:11Z","title_canon_sha256":"0fee5d84aac625145a91609d1c22f9ed71334893929827641aea36f67c7c5e3b"},"schema_version":"1.0","source":{"id":"1606.03235","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.03235","created_at":"2026-05-18T01:02:49Z"},{"alias_kind":"arxiv_version","alias_value":"1606.03235v1","created_at":"2026-05-18T01:02:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.03235","created_at":"2026-05-18T01:02:49Z"},{"alias_kind":"pith_short_12","alias_value":"NAQK34HJ7U3E","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"NAQK34HJ7U3EEET7","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"NAQK34HJ","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:32116dd57d5c25c430d315c965c2ff565ea2f133943b8c425a44b515cc66c6ee","target":"graph","created_at":"2026-05-18T01:02:49Z","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":"Gene regulatory networks can be successfully modeled as Boolean networks. A much discussed hypothesis says that such model networks reproduce empirical findings the best if they are tuned to operate at criticality, i.e. at the borderline between their ordered and disordered phases. Critical networks have been argued to lead to a number of functional advantages such as maximal dynamical range, maximal sensitivity to environmental changes, as well as to an excellent trade off between stability and flexibility. Here, we study the effect of noise within the context of Boolean networks trained to l","authors_text":"Jorge Hidalgo, Jos\\'e Ruiz-Franco, Miguel A. Mu\\~noz, Pablo Villegas","cross_cats":["cond-mat.dis-nn","nlin.AO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2016-06-10T09:06:11Z","title":"Intrinsic noise and deviations from criticality in Boolean gene-regulatory networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.03235","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":"sha256:6c4122545b6f7c1d6e529948835aec7d0f6062468dbaa97e7a62d2ba2bfa7f09","target":"record","created_at":"2026-05-18T01:02:49Z","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":"de25f118c67e19bd1e5b47ab82033aa4cc79bd26cc6dbcd324c9be7eeefba54d","cross_cats_sorted":["cond-mat.dis-nn","nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2016-06-10T09:06:11Z","title_canon_sha256":"0fee5d84aac625145a91609d1c22f9ed71334893929827641aea36f67c7c5e3b"},"schema_version":"1.0","source":{"id":"1606.03235","kind":"arxiv","version":1}},"canonical_sha256":"6820adf0e9fd3642127f7ff236ee1d0cbd150a02ff4c22b7c638d932c8e39969","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6820adf0e9fd3642127f7ff236ee1d0cbd150a02ff4c22b7c638d932c8e39969","first_computed_at":"2026-05-18T01:02:49.762085Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:49.762085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BzZfascqwg4he/EJNnXelqDUQN1UezQE4M5xS6k3HnC7pue9y+ZPMEdl3vEduWePr6dDzD6vqL4f7ZITjlk1BA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:49.762718Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.03235","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c4122545b6f7c1d6e529948835aec7d0f6062468dbaa97e7a62d2ba2bfa7f09","sha256:32116dd57d5c25c430d315c965c2ff565ea2f133943b8c425a44b515cc66c6ee"],"state_sha256":"a0ddcbe0d4aed0ee1a93bfe7c7dba485b037cdfa4007b3c6151da6d0359354cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sa8G3QDgZkIDIxTDePWObv68erveqbP+ITLDe5nSUeEjnZgwefv2ZNJJ1TfQKn6cPe7E1lE/TxYPsBXHRCZxDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T04:09:10.993659Z","bundle_sha256":"0edcfb3cc208d68341c2e6f16bcd43634b97ebe49c83b8c589c2f156ae9eec26"}}