{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:H2QOCMQ5SHABL5HX2AEHTLGK7U","short_pith_number":"pith:H2QOCMQ5","schema_version":"1.0","canonical_sha256":"3ea0e1321d91c015f4f7d00879accafd3e7d84d6dca5a40aad8813aad8b820b5","source":{"kind":"arxiv","id":"1003.5135","version":2},"attestation_state":"computed","paper":{"title":"Distribution of essential interactions in model gene regulatory networks under mutation-selection balance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"q-bio.MN","authors_text":"A. Krzywicki, M. Zagorski, O.C. Martin, Z. Burda","submitted_at":"2010-03-26T13:38:12Z","abstract_excerpt":"Gene regulatory networks typically have low in-degrees, whereby any given gene is regulated by few of the genes in the network. They also tend to have broad distributions for the out-degree. What mechanisms might be responsible for these degree distributions? Starting with an accepted framework of the binding of transcription factors to DNA, we consider a simple model of gene regulatory dynamics. There, we show that selection for a target expression pattern leads to the emergence of minimum connectivities compatible with the selective constraint. As a consequence, these gene networks have low "},"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":"1003.5135","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2010-03-26T13:38:12Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"b5f56f1f8c1800b23c7509d3cc142533ab82d91e04bf4c6f97a974817c9da854","abstract_canon_sha256":"df88d76fe4fd3b147e9db96327dfdbb014f1dcab9b4afb47bbe2761b82fac5e3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:23:48.974989Z","signature_b64":"oCyYBliXGn8NswLe1+8W5UgF4cvlkWF+sOwAaWGMV6sC84asExd/PUO3zCUOE7CEw5S2HnVF/UJ0SENAtM2/BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ea0e1321d91c015f4f7d00879accafd3e7d84d6dca5a40aad8813aad8b820b5","last_reissued_at":"2026-05-18T03:23:48.974542Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:23:48.974542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Distribution of essential interactions in model gene regulatory networks under mutation-selection balance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"q-bio.MN","authors_text":"A. Krzywicki, M. Zagorski, O.C. Martin, Z. Burda","submitted_at":"2010-03-26T13:38:12Z","abstract_excerpt":"Gene regulatory networks typically have low in-degrees, whereby any given gene is regulated by few of the genes in the network. They also tend to have broad distributions for the out-degree. What mechanisms might be responsible for these degree distributions? Starting with an accepted framework of the binding of transcription factors to DNA, we consider a simple model of gene regulatory dynamics. There, we show that selection for a target expression pattern leads to the emergence of minimum connectivities compatible with the selective constraint. As a consequence, these gene networks have low "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.5135","kind":"arxiv","version":2},"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":"1003.5135","created_at":"2026-05-18T03:23:48.974607+00:00"},{"alias_kind":"arxiv_version","alias_value":"1003.5135v2","created_at":"2026-05-18T03:23:48.974607+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.5135","created_at":"2026-05-18T03:23:48.974607+00:00"},{"alias_kind":"pith_short_12","alias_value":"H2QOCMQ5SHAB","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_16","alias_value":"H2QOCMQ5SHABL5HX","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_8","alias_value":"H2QOCMQ5","created_at":"2026-05-18T12:26:07.630475+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/H2QOCMQ5SHABL5HX2AEHTLGK7U","json":"https://pith.science/pith/H2QOCMQ5SHABL5HX2AEHTLGK7U.json","graph_json":"https://pith.science/api/pith-number/H2QOCMQ5SHABL5HX2AEHTLGK7U/graph.json","events_json":"https://pith.science/api/pith-number/H2QOCMQ5SHABL5HX2AEHTLGK7U/events.json","paper":"https://pith.science/paper/H2QOCMQ5"},"agent_actions":{"view_html":"https://pith.science/pith/H2QOCMQ5SHABL5HX2AEHTLGK7U","download_json":"https://pith.science/pith/H2QOCMQ5SHABL5HX2AEHTLGK7U.json","view_paper":"https://pith.science/paper/H2QOCMQ5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1003.5135&json=true","fetch_graph":"https://pith.science/api/pith-number/H2QOCMQ5SHABL5HX2AEHTLGK7U/graph.json","fetch_events":"https://pith.science/api/pith-number/H2QOCMQ5SHABL5HX2AEHTLGK7U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H2QOCMQ5SHABL5HX2AEHTLGK7U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H2QOCMQ5SHABL5HX2AEHTLGK7U/action/storage_attestation","attest_author":"https://pith.science/pith/H2QOCMQ5SHABL5HX2AEHTLGK7U/action/author_attestation","sign_citation":"https://pith.science/pith/H2QOCMQ5SHABL5HX2AEHTLGK7U/action/citation_signature","submit_replication":"https://pith.science/pith/H2QOCMQ5SHABL5HX2AEHTLGK7U/action/replication_record"}},"created_at":"2026-05-18T03:23:48.974607+00:00","updated_at":"2026-05-18T03:23:48.974607+00:00"}