{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:UTVVCPGGN5LAAXYVVIQNACQAJB","short_pith_number":"pith:UTVVCPGG","canonical_record":{"source":{"id":"1007.3022","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-07-18T17:25:26Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"20a9c11da2fc6cd90253de7cd8be5403380e21207db44dedde692f906188b895","abstract_canon_sha256":"010de73a4bb6161f02985beb42abf1a7ded0a87243ddfebc58d7b164807ac09f"},"schema_version":"1.0"},"canonical_sha256":"a4eb513cc66f56005f15aa20d00a0048665a1ff3f34a657827ba651f0a4f7f16","source":{"kind":"arxiv","id":"1007.3022","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:UTVVCPGGN5LAAXYVVIQNACQAJB","target":"record","payload":{"canonical_record":{"source":{"id":"1007.3022","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-07-18T17:25:26Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"20a9c11da2fc6cd90253de7cd8be5403380e21207db44dedde692f906188b895","abstract_canon_sha256":"010de73a4bb6161f02985beb42abf1a7ded0a87243ddfebc58d7b164807ac09f"},"schema_version":"1.0"},"canonical_sha256":"a4eb513cc66f56005f15aa20d00a0048665a1ff3f34a657827ba651f0a4f7f16","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:33:59.958239Z","signature_b64":"MDRL17S8jZTG0ukfyp3FZcTIgaQTgmzlgKv0i5WeOZjuo74L3wtOlT1DZBKtMUYWjXhDBfoX3UbCIVgBiF4pBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a4eb513cc66f56005f15aa20d00a0048665a1ff3f34a657827ba651f0a4f7f16","last_reissued_at":"2026-05-18T04:33:59.957666Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:33:59.957666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1007.3022","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:33:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dKecYZVCSaw+4hCoixvv0SSV9twr7yPis0X4BjUKm0q6dWvN8egmaQQp7JC0wFjeYCDO3zhZjjE3FCta7BMbCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T08:15:32.817741Z"},"content_sha256":"460de593a4b5b11637d38d9ad06dadd6512ce52648d9a449318fb27fd2efb85d","schema_version":"1.0","event_id":"sha256:460de593a4b5b11637d38d9ad06dadd6512ce52648d9a449318fb27fd2efb85d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:UTVVCPGGN5LAAXYVVIQNACQAJB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Subordinated diffusion and CTRW asymptotics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Bartlomiej Dybiec, Ewa Gudowska-Nowak","submitted_at":"2010-07-18T17:25:26Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.3022","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:33:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QXudBWGn/IiYrDy6WPev5C2H4xpxSz4ztKDW6HAfJf9DHQJSK8QxtZOqsU8jUMqMZ/mgjMiaGlXZS6NkXjHODQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T08:15:32.818069Z"},"content_sha256":"62c7992fe23cffa663b2bf7946bc7f61bf76461b9a001a89ed7f688d0b7d4569","schema_version":"1.0","event_id":"sha256:62c7992fe23cffa663b2bf7946bc7f61bf76461b9a001a89ed7f688d0b7d4569"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UTVVCPGGN5LAAXYVVIQNACQAJB/bundle.json","state_url":"https://pith.science/pith/UTVVCPGGN5LAAXYVVIQNACQAJB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UTVVCPGGN5LAAXYVVIQNACQAJB/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-24T08:15:32Z","links":{"resolver":"https://pith.science/pith/UTVVCPGGN5LAAXYVVIQNACQAJB","bundle":"https://pith.science/pith/UTVVCPGGN5LAAXYVVIQNACQAJB/bundle.json","state":"https://pith.science/pith/UTVVCPGGN5LAAXYVVIQNACQAJB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UTVVCPGGN5LAAXYVVIQNACQAJB/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mH5D5Alej1SwnC2i9WMq85e8PeBq41ftA3N4mAXYTYx8yjPLChpA/5TpbewHnERe8knnqqKAijHn9pV1XQO5Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T08:15:32.819937Z","bundle_sha256":"7239a3cde5d186d2f3dd2418754f5c7871253e2eae010a2ab2c513e4ad220375"}}