{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:6ABXG6WNLNIGERZSBEM55RXDL3","short_pith_number":"pith:6ABXG6WN","schema_version":"1.0","canonical_sha256":"f003737acd5b506247320919dec6e35ecc2071a75819e9924fa9970ac9b1e4e9","source":{"kind":"arxiv","id":"1106.4948","version":1},"attestation_state":"computed","paper":{"title":"Phase transitions and memory effects in the dynamics of Boolean networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.MN"],"primary_cat":"cond-mat.dis-nn","authors_text":"Alexander Mozeika, David Saad","submitted_at":"2011-06-24T12:11:00Z","abstract_excerpt":"The generating functional method is employed to investigate the synchronous dynamics of Boolean networks, providing an exact result for the system dynamics via a set of macroscopic order parameters. The topology of the networks studied and its constituent Boolean functions represent the system's quenched disorder and are sampled from a given distribution. The framework accommodates a variety of topologies and Boolean function distributions and can be used to study both the noisy and noiseless regimes; it enables one to calculate correlation functions at different times that are inaccessible vi"},"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":"1106.4948","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2011-06-24T12:11:00Z","cross_cats_sorted":["q-bio.MN"],"title_canon_sha256":"f5fec9deb4657b2eb8a2931b1621a20148805e4286aeef9b1f0a28214ffd651d","abstract_canon_sha256":"e5387b36e09c35877e36cf44a7abcd99a431039cfd849bdaa47903a0030e8f6e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:31.121958Z","signature_b64":"yb2eBhO4NbdGtVRqnt/PjzU1+SxRYz7kXXnoMdFV5feLx1evoTuo3TF50oI27xQhg7sooDB4QRmFMPFH7KEgAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f003737acd5b506247320919dec6e35ecc2071a75819e9924fa9970ac9b1e4e9","last_reissued_at":"2026-05-18T02:01:31.121439Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:31.121439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Phase transitions and memory effects in the dynamics of Boolean networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.MN"],"primary_cat":"cond-mat.dis-nn","authors_text":"Alexander Mozeika, David Saad","submitted_at":"2011-06-24T12:11:00Z","abstract_excerpt":"The generating functional method is employed to investigate the synchronous dynamics of Boolean networks, providing an exact result for the system dynamics via a set of macroscopic order parameters. The topology of the networks studied and its constituent Boolean functions represent the system's quenched disorder and are sampled from a given distribution. The framework accommodates a variety of topologies and Boolean function distributions and can be used to study both the noisy and noiseless regimes; it enables one to calculate correlation functions at different times that are inaccessible vi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.4948","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":"1106.4948","created_at":"2026-05-18T02:01:31.121532+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.4948v1","created_at":"2026-05-18T02:01:31.121532+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.4948","created_at":"2026-05-18T02:01:31.121532+00:00"},{"alias_kind":"pith_short_12","alias_value":"6ABXG6WNLNIG","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_16","alias_value":"6ABXG6WNLNIGERZS","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_8","alias_value":"6ABXG6WN","created_at":"2026-05-18T12:26:22.705136+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/6ABXG6WNLNIGERZSBEM55RXDL3","json":"https://pith.science/pith/6ABXG6WNLNIGERZSBEM55RXDL3.json","graph_json":"https://pith.science/api/pith-number/6ABXG6WNLNIGERZSBEM55RXDL3/graph.json","events_json":"https://pith.science/api/pith-number/6ABXG6WNLNIGERZSBEM55RXDL3/events.json","paper":"https://pith.science/paper/6ABXG6WN"},"agent_actions":{"view_html":"https://pith.science/pith/6ABXG6WNLNIGERZSBEM55RXDL3","download_json":"https://pith.science/pith/6ABXG6WNLNIGERZSBEM55RXDL3.json","view_paper":"https://pith.science/paper/6ABXG6WN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.4948&json=true","fetch_graph":"https://pith.science/api/pith-number/6ABXG6WNLNIGERZSBEM55RXDL3/graph.json","fetch_events":"https://pith.science/api/pith-number/6ABXG6WNLNIGERZSBEM55RXDL3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6ABXG6WNLNIGERZSBEM55RXDL3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6ABXG6WNLNIGERZSBEM55RXDL3/action/storage_attestation","attest_author":"https://pith.science/pith/6ABXG6WNLNIGERZSBEM55RXDL3/action/author_attestation","sign_citation":"https://pith.science/pith/6ABXG6WNLNIGERZSBEM55RXDL3/action/citation_signature","submit_replication":"https://pith.science/pith/6ABXG6WNLNIGERZSBEM55RXDL3/action/replication_record"}},"created_at":"2026-05-18T02:01:31.121532+00:00","updated_at":"2026-05-18T02:01:31.121532+00:00"}