{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:DCMBPJIY7MNZGGLW7ZIKWR77YP","short_pith_number":"pith:DCMBPJIY","schema_version":"1.0","canonical_sha256":"189817a518fb1b931976fe50ab47ffc3f1137e90f2a881d33be28e658935eaa2","source":{"kind":"arxiv","id":"1404.3356","version":1},"attestation_state":"computed","paper":{"title":"Non-ergodicity, fluctuations, and criticality in heterogeneous diffusion processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Andrey G. Cherstvy, Ralf Metzler","submitted_at":"2014-04-13T08:29:36Z","abstract_excerpt":"We study the stochastic behavior of heterogeneous diffusion processes with the power-law dependence $D(x)\\sim|x|^{\\alpha}$ of the generalized diffusion coefficient encompassing sub- and superdiffusive anomalous diffusion. Based on statistical measures such as the amplitude scatter of the time averaged mean squared displacement of individual realizations, the ergodicity breaking and non-Gaussianity parameters, as well as the probability density function $P(x,t)$ we analyze the weakly non-ergodic character of the heterogeneous diffusion process and, particularly, the degree of irreproducibility "},"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":"1404.3356","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-04-13T08:29:36Z","cross_cats_sorted":[],"title_canon_sha256":"74df17a247de089c19eaff25157bba6ec0eec651762d0e793500d875006c12e9","abstract_canon_sha256":"f0595e27f8d36cf33c8fe427166d9ac28c43e893e25c4c762bf9083b954ed460"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:40.340096Z","signature_b64":"xJPemAB3VSKXjF8qZJAPbyloiUKoDzUgMqbdxryvKE1HpR8NDN8jGGwL487g3luiGG5Fg4XNfcz8IC1NMP3tAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"189817a518fb1b931976fe50ab47ffc3f1137e90f2a881d33be28e658935eaa2","last_reissued_at":"2026-05-18T02:30:40.339572Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:40.339572Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-ergodicity, fluctuations, and criticality in heterogeneous diffusion processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Andrey G. Cherstvy, Ralf Metzler","submitted_at":"2014-04-13T08:29:36Z","abstract_excerpt":"We study the stochastic behavior of heterogeneous diffusion processes with the power-law dependence $D(x)\\sim|x|^{\\alpha}$ of the generalized diffusion coefficient encompassing sub- and superdiffusive anomalous diffusion. Based on statistical measures such as the amplitude scatter of the time averaged mean squared displacement of individual realizations, the ergodicity breaking and non-Gaussianity parameters, as well as the probability density function $P(x,t)$ we analyze the weakly non-ergodic character of the heterogeneous diffusion process and, particularly, the degree of irreproducibility "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.3356","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":"1404.3356","created_at":"2026-05-18T02:30:40.339647+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.3356v1","created_at":"2026-05-18T02:30:40.339647+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.3356","created_at":"2026-05-18T02:30:40.339647+00:00"},{"alias_kind":"pith_short_12","alias_value":"DCMBPJIY7MNZ","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_16","alias_value":"DCMBPJIY7MNZGGLW","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_8","alias_value":"DCMBPJIY","created_at":"2026-05-18T12:28:25.294606+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/DCMBPJIY7MNZGGLW7ZIKWR77YP","json":"https://pith.science/pith/DCMBPJIY7MNZGGLW7ZIKWR77YP.json","graph_json":"https://pith.science/api/pith-number/DCMBPJIY7MNZGGLW7ZIKWR77YP/graph.json","events_json":"https://pith.science/api/pith-number/DCMBPJIY7MNZGGLW7ZIKWR77YP/events.json","paper":"https://pith.science/paper/DCMBPJIY"},"agent_actions":{"view_html":"https://pith.science/pith/DCMBPJIY7MNZGGLW7ZIKWR77YP","download_json":"https://pith.science/pith/DCMBPJIY7MNZGGLW7ZIKWR77YP.json","view_paper":"https://pith.science/paper/DCMBPJIY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.3356&json=true","fetch_graph":"https://pith.science/api/pith-number/DCMBPJIY7MNZGGLW7ZIKWR77YP/graph.json","fetch_events":"https://pith.science/api/pith-number/DCMBPJIY7MNZGGLW7ZIKWR77YP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DCMBPJIY7MNZGGLW7ZIKWR77YP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DCMBPJIY7MNZGGLW7ZIKWR77YP/action/storage_attestation","attest_author":"https://pith.science/pith/DCMBPJIY7MNZGGLW7ZIKWR77YP/action/author_attestation","sign_citation":"https://pith.science/pith/DCMBPJIY7MNZGGLW7ZIKWR77YP/action/citation_signature","submit_replication":"https://pith.science/pith/DCMBPJIY7MNZGGLW7ZIKWR77YP/action/replication_record"}},"created_at":"2026-05-18T02:30:40.339647+00:00","updated_at":"2026-05-18T02:30:40.339647+00:00"}