{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:UTVVCPGGN5LAAXYVVIQNACQAJB","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":"010de73a4bb6161f02985beb42abf1a7ded0a87243ddfebc58d7b164807ac09f","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-07-18T17:25:26Z","title_canon_sha256":"20a9c11da2fc6cd90253de7cd8be5403380e21207db44dedde692f906188b895"},"schema_version":"1.0","source":{"id":"1007.3022","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.3022","created_at":"2026-05-18T04:33:59Z"},{"alias_kind":"arxiv_version","alias_value":"1007.3022v3","created_at":"2026-05-18T04:33:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.3022","created_at":"2026-05-18T04:33:59Z"},{"alias_kind":"pith_short_12","alias_value":"UTVVCPGGN5LA","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"UTVVCPGGN5LAAXYV","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"UTVVCPGG","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:62c7992fe23cffa663b2bf7946bc7f61bf76461b9a001a89ed7f688d0b7d4569","target":"graph","created_at":"2026-05-18T04:33:59Z","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":"Anomalous transport is usually described either by models of continuous time random walks (CTRW) or, otherwise by fractional Fokker-Planck equations (FFPE). The asymptotic relation between properly scaled CTRW and fractional diffusion process has been worked out via various approaches widely discussed in literature. Here, we focus on a correspondence between CTRWs and time and space fractional diffusion equation stemming from two different methods aimed to accurately approximate anomalous diffusion processes. One of them is the Monte Carlo simulation of uncoupled CTRW with a L\\'evy $\\alpha$-st","authors_text":"Bartlomiej Dybiec, Ewa Gudowska-Nowak","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-07-18T17:25:26Z","title":"Subordinated diffusion and CTRW asymptotics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.3022","kind":"arxiv","version":3},"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":"sha256:460de593a4b5b11637d38d9ad06dadd6512ce52648d9a449318fb27fd2efb85d","target":"record","created_at":"2026-05-18T04:33:59Z","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":"010de73a4bb6161f02985beb42abf1a7ded0a87243ddfebc58d7b164807ac09f","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-07-18T17:25:26Z","title_canon_sha256":"20a9c11da2fc6cd90253de7cd8be5403380e21207db44dedde692f906188b895"},"schema_version":"1.0","source":{"id":"1007.3022","kind":"arxiv","version":3}},"canonical_sha256":"a4eb513cc66f56005f15aa20d00a0048665a1ff3f34a657827ba651f0a4f7f16","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4eb513cc66f56005f15aa20d00a0048665a1ff3f34a657827ba651f0a4f7f16","first_computed_at":"2026-05-18T04:33:59.957666Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:33:59.957666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MDRL17S8jZTG0ukfyp3FZcTIgaQTgmzlgKv0i5WeOZjuo74L3wtOlT1DZBKtMUYWjXhDBfoX3UbCIVgBiF4pBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:33:59.958239Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.3022","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:460de593a4b5b11637d38d9ad06dadd6512ce52648d9a449318fb27fd2efb85d","sha256:62c7992fe23cffa663b2bf7946bc7f61bf76461b9a001a89ed7f688d0b7d4569"],"state_sha256":"b4a83a9cb7980a61d43194f7f48e5fa8ac5374658bff34fedeedc0d2497b7fdd"}