{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:E6HOL322UAEN3TVFMKDFFWHXBE","short_pith_number":"pith:E6HOL322","schema_version":"1.0","canonical_sha256":"278ee5ef5aa008ddcea5628652d8f70933cdeddf3d275c468004e1633e12e25b","source":{"kind":"arxiv","id":"1404.0215","version":2},"attestation_state":"computed","paper":{"title":"Short note on the emergence of fractional kinetics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Gianni Pagnini","submitted_at":"2014-04-01T12:28:33Z","abstract_excerpt":"In the present Short Note an idea is proposed to explain the emergence and the observation of processes in complex media that are driven by fractional non-Markovian master equations. Particle trajectories are assumed to be solely Markovian and described by the Continuous Time Random Walk model. But, as a consequence of the complexity of the medium, each trajectory is supposed to scale in time according to a particular random timescale. The link from this framework to microscopic dynamics is discussed and the distribution of timescales is computed. In particular, when a stationary distribution "},"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":"1404.0215","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-04-01T12:28:33Z","cross_cats_sorted":[],"title_canon_sha256":"ea0c3ee9bf0c3a56a5927e049a312e4d1cfe966fad49cce0c74b9e59afa2b786","abstract_canon_sha256":"6e3283fe24ff9274459d9fb64c0d7df86aeb4329deca6520a33d03e6163c2b5d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:43:43.443406Z","signature_b64":"3xbSsNYJm++pAx1td5ZVx1+3QbbOuf7gbcTwFpRZggNdJXpS5fk4yoU4DNp4KqLKZcP4FI+PvIB9x0qyzu3pCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"278ee5ef5aa008ddcea5628652d8f70933cdeddf3d275c468004e1633e12e25b","last_reissued_at":"2026-05-18T01:43:43.443001Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:43:43.443001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Short note on the emergence of fractional kinetics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Gianni Pagnini","submitted_at":"2014-04-01T12:28:33Z","abstract_excerpt":"In the present Short Note an idea is proposed to explain the emergence and the observation of processes in complex media that are driven by fractional non-Markovian master equations. Particle trajectories are assumed to be solely Markovian and described by the Continuous Time Random Walk model. But, as a consequence of the complexity of the medium, each trajectory is supposed to scale in time according to a particular random timescale. The link from this framework to microscopic dynamics is discussed and the distribution of timescales is computed. In particular, when a stationary distribution "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.0215","kind":"arxiv","version":2},"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":"1404.0215","created_at":"2026-05-18T01:43:43.443062+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.0215v2","created_at":"2026-05-18T01:43:43.443062+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.0215","created_at":"2026-05-18T01:43:43.443062+00:00"},{"alias_kind":"pith_short_12","alias_value":"E6HOL322UAEN","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_16","alias_value":"E6HOL322UAEN3TVF","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_8","alias_value":"E6HOL322","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/E6HOL322UAEN3TVFMKDFFWHXBE","json":"https://pith.science/pith/E6HOL322UAEN3TVFMKDFFWHXBE.json","graph_json":"https://pith.science/api/pith-number/E6HOL322UAEN3TVFMKDFFWHXBE/graph.json","events_json":"https://pith.science/api/pith-number/E6HOL322UAEN3TVFMKDFFWHXBE/events.json","paper":"https://pith.science/paper/E6HOL322"},"agent_actions":{"view_html":"https://pith.science/pith/E6HOL322UAEN3TVFMKDFFWHXBE","download_json":"https://pith.science/pith/E6HOL322UAEN3TVFMKDFFWHXBE.json","view_paper":"https://pith.science/paper/E6HOL322","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.0215&json=true","fetch_graph":"https://pith.science/api/pith-number/E6HOL322UAEN3TVFMKDFFWHXBE/graph.json","fetch_events":"https://pith.science/api/pith-number/E6HOL322UAEN3TVFMKDFFWHXBE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/E6HOL322UAEN3TVFMKDFFWHXBE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/E6HOL322UAEN3TVFMKDFFWHXBE/action/storage_attestation","attest_author":"https://pith.science/pith/E6HOL322UAEN3TVFMKDFFWHXBE/action/author_attestation","sign_citation":"https://pith.science/pith/E6HOL322UAEN3TVFMKDFFWHXBE/action/citation_signature","submit_replication":"https://pith.science/pith/E6HOL322UAEN3TVFMKDFFWHXBE/action/replication_record"}},"created_at":"2026-05-18T01:43:43.443062+00:00","updated_at":"2026-05-18T01:43:43.443062+00:00"}