{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:LSR3JOKJBVL4ZNOZLTXBVP6RSX","short_pith_number":"pith:LSR3JOKJ","schema_version":"1.0","canonical_sha256":"5ca3b4b9490d57ccb5d95cee1abfd195ceaedf5a22527949b7419744d2ae1fdc","source":{"kind":"arxiv","id":"1503.00427","version":1},"attestation_state":"computed","paper":{"title":"Effect of randomness in logistic maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Abdul Khaleque, Parongama Sen","submitted_at":"2015-03-02T07:16:39Z","abstract_excerpt":"We study a random logistic map $x_{t+1} = a_{t} x_{t}[1-x_{t}]$ where $a_t$ are bounded ($q_1 \\leq a_t \\leq q_2$), random variables independently drawn from a distribution. $x_t$ does not show any regular behaviour in time. We find that $x_t$ shows fully ergodic behaviour when the maximum allowed value of $a_t$ is $4$. However $< x_{t \\to \\infty}>$, averaged over different realisations reaches a fixed point. For $1\\leq a_t \\leq 4$ the system shows nonchaotic behaviour and the Lyapunov exponent is strongly dependent on the asymmetry of the distribution from which $a_t$ is drawn. Chaotic behavio"},"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":"1503.00427","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-03-02T07:16:39Z","cross_cats_sorted":[],"title_canon_sha256":"cd86e530e5863f673c51d735c91f8a3cec5fe83a372493883533a2810a3c217b","abstract_canon_sha256":"cd93c102ea9a28d3214f1f8a69c29f1bd24964a70689bfb65addac4c04872a9b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:29.673974Z","signature_b64":"pBhHKDOu62XPZ7rGBjGcq62MZaU6poiG+J8p4C9+pMrFy4LPbh13nRMlP0K0/YiQGXmw6GgpEH0EL2CfxvlRBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5ca3b4b9490d57ccb5d95cee1abfd195ceaedf5a22527949b7419744d2ae1fdc","last_reissued_at":"2026-05-18T01:20:29.673366Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:29.673366Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Effect of randomness in logistic maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Abdul Khaleque, Parongama Sen","submitted_at":"2015-03-02T07:16:39Z","abstract_excerpt":"We study a random logistic map $x_{t+1} = a_{t} x_{t}[1-x_{t}]$ where $a_t$ are bounded ($q_1 \\leq a_t \\leq q_2$), random variables independently drawn from a distribution. $x_t$ does not show any regular behaviour in time. We find that $x_t$ shows fully ergodic behaviour when the maximum allowed value of $a_t$ is $4$. However $< x_{t \\to \\infty}>$, averaged over different realisations reaches a fixed point. For $1\\leq a_t \\leq 4$ the system shows nonchaotic behaviour and the Lyapunov exponent is strongly dependent on the asymmetry of the distribution from which $a_t$ is drawn. Chaotic behavio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.00427","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":"1503.00427","created_at":"2026-05-18T01:20:29.673475+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.00427v1","created_at":"2026-05-18T01:20:29.673475+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.00427","created_at":"2026-05-18T01:20:29.673475+00:00"},{"alias_kind":"pith_short_12","alias_value":"LSR3JOKJBVL4","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_16","alias_value":"LSR3JOKJBVL4ZNOZ","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_8","alias_value":"LSR3JOKJ","created_at":"2026-05-18T12:29:29.992203+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/LSR3JOKJBVL4ZNOZLTXBVP6RSX","json":"https://pith.science/pith/LSR3JOKJBVL4ZNOZLTXBVP6RSX.json","graph_json":"https://pith.science/api/pith-number/LSR3JOKJBVL4ZNOZLTXBVP6RSX/graph.json","events_json":"https://pith.science/api/pith-number/LSR3JOKJBVL4ZNOZLTXBVP6RSX/events.json","paper":"https://pith.science/paper/LSR3JOKJ"},"agent_actions":{"view_html":"https://pith.science/pith/LSR3JOKJBVL4ZNOZLTXBVP6RSX","download_json":"https://pith.science/pith/LSR3JOKJBVL4ZNOZLTXBVP6RSX.json","view_paper":"https://pith.science/paper/LSR3JOKJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.00427&json=true","fetch_graph":"https://pith.science/api/pith-number/LSR3JOKJBVL4ZNOZLTXBVP6RSX/graph.json","fetch_events":"https://pith.science/api/pith-number/LSR3JOKJBVL4ZNOZLTXBVP6RSX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LSR3JOKJBVL4ZNOZLTXBVP6RSX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LSR3JOKJBVL4ZNOZLTXBVP6RSX/action/storage_attestation","attest_author":"https://pith.science/pith/LSR3JOKJBVL4ZNOZLTXBVP6RSX/action/author_attestation","sign_citation":"https://pith.science/pith/LSR3JOKJBVL4ZNOZLTXBVP6RSX/action/citation_signature","submit_replication":"https://pith.science/pith/LSR3JOKJBVL4ZNOZLTXBVP6RSX/action/replication_record"}},"created_at":"2026-05-18T01:20:29.673475+00:00","updated_at":"2026-05-18T01:20:29.673475+00:00"}