{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:FYBD5Y6PIPNK3XSW347KO7JY7B","short_pith_number":"pith:FYBD5Y6P","schema_version":"1.0","canonical_sha256":"2e023ee3cf43daadde56df3ea77d38f86a8bcee802d2d446c1c1ae7af280d436","source":{"kind":"arxiv","id":"1607.03794","version":1},"attestation_state":"computed","paper":{"title":"Effect of memory in non-Markovian Boolean networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CG","physics.bio-ph"],"primary_cat":"q-bio.MN","authors_text":"Gholamreza Jafari, Haleh Ebadi, Marcel Ausloos, Meghdad Saeedian","submitted_at":"2016-07-13T15:35:40Z","abstract_excerpt":"One successful model of interacting biological systems is the Boolean network. The dynamics of a Boolean network, controlled with Boolean functions, is usually considered to be a Markovian (memory-less) process. However, both self organizing features of biological phenomena and their intelligent nature should raise some doubt about ignoring the history of their time evolution. Here, we extend the Boolean network Markovian approach: we involve the effect of memory on the dynamics. This can be explored by modifying Boolean functions into non-Markovian functions, for example, by investigating the"},"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":"1607.03794","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.MN","submitted_at":"2016-07-13T15:35:40Z","cross_cats_sorted":["nlin.CG","physics.bio-ph"],"title_canon_sha256":"1e489eea1d339cf8254e70a36c6eb92a035ecbfc59f932f1578daa8433abac18","abstract_canon_sha256":"a038f4a85f271d6f218c7cdf7d2043e9ec9a7dc83d27d4b01f387d73acf34a5c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:33.235575Z","signature_b64":"+NxfGETv37iolj6GymuwePex5lGZAO3Xc5nErga8NteHxhqQcbx60hN67KUJ/tx/QuH9aQSbvTCobZjS3N8aDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e023ee3cf43daadde56df3ea77d38f86a8bcee802d2d446c1c1ae7af280d436","last_reissued_at":"2026-05-18T00:36:33.234918Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:33.234918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Effect of memory in non-Markovian Boolean networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CG","physics.bio-ph"],"primary_cat":"q-bio.MN","authors_text":"Gholamreza Jafari, Haleh Ebadi, Marcel Ausloos, Meghdad Saeedian","submitted_at":"2016-07-13T15:35:40Z","abstract_excerpt":"One successful model of interacting biological systems is the Boolean network. The dynamics of a Boolean network, controlled with Boolean functions, is usually considered to be a Markovian (memory-less) process. However, both self organizing features of biological phenomena and their intelligent nature should raise some doubt about ignoring the history of their time evolution. Here, we extend the Boolean network Markovian approach: we involve the effect of memory on the dynamics. This can be explored by modifying Boolean functions into non-Markovian functions, for example, by investigating the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.03794","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":"1607.03794","created_at":"2026-05-18T00:36:33.235034+00:00"},{"alias_kind":"arxiv_version","alias_value":"1607.03794v1","created_at":"2026-05-18T00:36:33.235034+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.03794","created_at":"2026-05-18T00:36:33.235034+00:00"},{"alias_kind":"pith_short_12","alias_value":"FYBD5Y6PIPNK","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_16","alias_value":"FYBD5Y6PIPNK3XSW","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_8","alias_value":"FYBD5Y6P","created_at":"2026-05-18T12:30:15.759754+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/FYBD5Y6PIPNK3XSW347KO7JY7B","json":"https://pith.science/pith/FYBD5Y6PIPNK3XSW347KO7JY7B.json","graph_json":"https://pith.science/api/pith-number/FYBD5Y6PIPNK3XSW347KO7JY7B/graph.json","events_json":"https://pith.science/api/pith-number/FYBD5Y6PIPNK3XSW347KO7JY7B/events.json","paper":"https://pith.science/paper/FYBD5Y6P"},"agent_actions":{"view_html":"https://pith.science/pith/FYBD5Y6PIPNK3XSW347KO7JY7B","download_json":"https://pith.science/pith/FYBD5Y6PIPNK3XSW347KO7JY7B.json","view_paper":"https://pith.science/paper/FYBD5Y6P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1607.03794&json=true","fetch_graph":"https://pith.science/api/pith-number/FYBD5Y6PIPNK3XSW347KO7JY7B/graph.json","fetch_events":"https://pith.science/api/pith-number/FYBD5Y6PIPNK3XSW347KO7JY7B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FYBD5Y6PIPNK3XSW347KO7JY7B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FYBD5Y6PIPNK3XSW347KO7JY7B/action/storage_attestation","attest_author":"https://pith.science/pith/FYBD5Y6PIPNK3XSW347KO7JY7B/action/author_attestation","sign_citation":"https://pith.science/pith/FYBD5Y6PIPNK3XSW347KO7JY7B/action/citation_signature","submit_replication":"https://pith.science/pith/FYBD5Y6PIPNK3XSW347KO7JY7B/action/replication_record"}},"created_at":"2026-05-18T00:36:33.235034+00:00","updated_at":"2026-05-18T00:36:33.235034+00:00"}