{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:SOGV2RLEN3JUJR4TUF3H3RCS5Y","short_pith_number":"pith:SOGV2RLE","schema_version":"1.0","canonical_sha256":"938d5d45646ed344c793a1767dc452ee1358cea5f037ffe4bec4c8eaf26d197d","source":{"kind":"arxiv","id":"1007.3411","version":1},"attestation_state":"computed","paper":{"title":"The phase diagram of random Boolean networks with nested canalizing functions","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"physics.bio-ph","authors_text":"Tiago P. Peixoto","submitted_at":"2010-07-20T13:03:18Z","abstract_excerpt":"We obtain the phase diagram of random Boolean networks with nested canalizing functions. Using the annealed approximation, we obtain the evolution of the number $b_t$ of nodes with value one, and the network sensitivity $\\lambda$, and we compare with numerical simulations of quenched networks. We find that, contrary to what was reported by Kauffman et al. [Proc. Natl. Acad. Sci. 2004 101 49 17102-7], these networks have a rich phase diagram, were both the \"chaotic\" and frozen phases are present, as well as an oscillatory regime of the value of $b_t$. We argue that the presence of only the froz"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1007.3411","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"physics.bio-ph","submitted_at":"2010-07-20T13:03:18Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"360ff3439d02ead9f68802401ca3a81bab3fbb7782787d63a86a77570ffb41c7","abstract_canon_sha256":"8ca4fa6d786f410e5488eae993235869aee850359d4be28740100b04bd683eb7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:33:07.153838Z","signature_b64":"wU/qEkQd/HeLKUaJ1gwS9NoIbUnqsKqCc1aAtC7Se43y/uzayvsrRPI0EKE0FRqY2PC00bQoDeRcv2eG+fuVAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"938d5d45646ed344c793a1767dc452ee1358cea5f037ffe4bec4c8eaf26d197d","last_reissued_at":"2026-05-18T04:33:07.153133Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:33:07.153133Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The phase diagram of random Boolean networks with nested canalizing functions","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"physics.bio-ph","authors_text":"Tiago P. Peixoto","submitted_at":"2010-07-20T13:03:18Z","abstract_excerpt":"We obtain the phase diagram of random Boolean networks with nested canalizing functions. Using the annealed approximation, we obtain the evolution of the number $b_t$ of nodes with value one, and the network sensitivity $\\lambda$, and we compare with numerical simulations of quenched networks. We find that, contrary to what was reported by Kauffman et al. [Proc. Natl. Acad. Sci. 2004 101 49 17102-7], these networks have a rich phase diagram, were both the \"chaotic\" and frozen phases are present, as well as an oscillatory regime of the value of $b_t$. We argue that the presence of only the froz"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.3411","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1007.3411","created_at":"2026-05-18T04:33:07.153233+00:00"},{"alias_kind":"arxiv_version","alias_value":"1007.3411v1","created_at":"2026-05-18T04:33:07.153233+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.3411","created_at":"2026-05-18T04:33:07.153233+00:00"},{"alias_kind":"pith_short_12","alias_value":"SOGV2RLEN3JU","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_16","alias_value":"SOGV2RLEN3JUJR4T","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_8","alias_value":"SOGV2RLE","created_at":"2026-05-18T12:26:13.927090+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SOGV2RLEN3JUJR4TUF3H3RCS5Y","json":"https://pith.science/pith/SOGV2RLEN3JUJR4TUF3H3RCS5Y.json","graph_json":"https://pith.science/api/pith-number/SOGV2RLEN3JUJR4TUF3H3RCS5Y/graph.json","events_json":"https://pith.science/api/pith-number/SOGV2RLEN3JUJR4TUF3H3RCS5Y/events.json","paper":"https://pith.science/paper/SOGV2RLE"},"agent_actions":{"view_html":"https://pith.science/pith/SOGV2RLEN3JUJR4TUF3H3RCS5Y","download_json":"https://pith.science/pith/SOGV2RLEN3JUJR4TUF3H3RCS5Y.json","view_paper":"https://pith.science/paper/SOGV2RLE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1007.3411&json=true","fetch_graph":"https://pith.science/api/pith-number/SOGV2RLEN3JUJR4TUF3H3RCS5Y/graph.json","fetch_events":"https://pith.science/api/pith-number/SOGV2RLEN3JUJR4TUF3H3RCS5Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SOGV2RLEN3JUJR4TUF3H3RCS5Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SOGV2RLEN3JUJR4TUF3H3RCS5Y/action/storage_attestation","attest_author":"https://pith.science/pith/SOGV2RLEN3JUJR4TUF3H3RCS5Y/action/author_attestation","sign_citation":"https://pith.science/pith/SOGV2RLEN3JUJR4TUF3H3RCS5Y/action/citation_signature","submit_replication":"https://pith.science/pith/SOGV2RLEN3JUJR4TUF3H3RCS5Y/action/replication_record"}},"created_at":"2026-05-18T04:33:07.153233+00:00","updated_at":"2026-05-18T04:33:07.153233+00:00"}