{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:LSR3JOKJBVL4ZNOZLTXBVP6RSX","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"cd93c102ea9a28d3214f1f8a69c29f1bd24964a70689bfb65addac4c04872a9b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-03-02T07:16:39Z","title_canon_sha256":"cd86e530e5863f673c51d735c91f8a3cec5fe83a372493883533a2810a3c217b"},"schema_version":"1.0","source":{"id":"1503.00427","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.00427","created_at":"2026-05-18T01:20:29Z"},{"alias_kind":"arxiv_version","alias_value":"1503.00427v1","created_at":"2026-05-18T01:20:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.00427","created_at":"2026-05-18T01:20:29Z"},{"alias_kind":"pith_short_12","alias_value":"LSR3JOKJBVL4","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LSR3JOKJBVL4ZNOZ","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LSR3JOKJ","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:614d6e0e4f02cb88852625ad71959af64476daee65f010c9a2e15e58630ce063","target":"graph","created_at":"2026-05-18T01:20:29Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Abdul Khaleque, Parongama Sen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-03-02T07:16:39Z","title":"Effect of randomness in logistic maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.00427","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:de2ad98429bdfabe8f429ebdb600b0835e58d2e9349a639149df2b855091af32","target":"record","created_at":"2026-05-18T01:20:29Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"cd93c102ea9a28d3214f1f8a69c29f1bd24964a70689bfb65addac4c04872a9b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-03-02T07:16:39Z","title_canon_sha256":"cd86e530e5863f673c51d735c91f8a3cec5fe83a372493883533a2810a3c217b"},"schema_version":"1.0","source":{"id":"1503.00427","kind":"arxiv","version":1}},"canonical_sha256":"5ca3b4b9490d57ccb5d95cee1abfd195ceaedf5a22527949b7419744d2ae1fdc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5ca3b4b9490d57ccb5d95cee1abfd195ceaedf5a22527949b7419744d2ae1fdc","first_computed_at":"2026-05-18T01:20:29.673366Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:29.673366Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pBhHKDOu62XPZ7rGBjGcq62MZaU6poiG+J8p4C9+pMrFy4LPbh13nRMlP0K0/YiQGXmw6GgpEH0EL2CfxvlRBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:29.673974Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.00427","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de2ad98429bdfabe8f429ebdb600b0835e58d2e9349a639149df2b855091af32","sha256:614d6e0e4f02cb88852625ad71959af64476daee65f010c9a2e15e58630ce063"],"state_sha256":"139c5d8efc5cce72f00029aa8be4ef9475329bb2a3e7db9f80f89e5255d6423e"}