{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:IKLER7J5NVOGVTYQ6JZT5IIK6W","short_pith_number":"pith:IKLER7J5","schema_version":"1.0","canonical_sha256":"429648fd3d6d5c6acf10f2733ea10af5aff3cb7ea63c3dd7144f944d8e652a9a","source":{"kind":"arxiv","id":"1908.11388","version":2},"attestation_state":"computed","paper":{"title":"Sub-diffusion in the Anderson model on random regular graph","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"cond-mat.dis-nn","authors_text":"Antonello Scardicchio, Giuseppe De Tomasi, Ivan M. Khaymovich, Soumya Bera","submitted_at":"2019-08-29T18:00:04Z","abstract_excerpt":"We study the finite-time dynamics of an initially localized wave-packet in the Anderson model on the random regular graph (RRG). Considering the full probability distribution $\\Pi(x,t)$ of a particle to be at some distance $x$ from the initial state at time $t$, we give evidence that $\\Pi(x,t)$ spreads sub-diffusively over a range of disorder strengths, wider than a putative non-ergodic phase. We provide a detailed analysis of the propagation of $\\Pi(x,t)$ in space-time $(x,t)$ domain, identifying four different regimes. These regimes in $(x,t)$ are determined by the position of a wave-front $"},"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":"1908.11388","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-08-29T18:00:04Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"d7a5d5c955c13e85af586b4850481b97afa261b00f55f3123f01c6bd2430d3af","abstract_canon_sha256":"8021575ce2cd71c7c1fc87dbd3e11a55c8c2bd5a43ec3581d5a4160e6beb465f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:46:48.196419Z","signature_b64":"pgg0IMpdjf4KX07dnoU4jIaiL4tR64+7/C0u1VDI+YwrY1UcfJpC4CfQNY9UJAg/HAcFYea4c3ssSXRLLU7aBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"429648fd3d6d5c6acf10f2733ea10af5aff3cb7ea63c3dd7144f944d8e652a9a","last_reissued_at":"2026-07-05T00:46:48.195867Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:46:48.195867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sub-diffusion in the Anderson model on random regular graph","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"cond-mat.dis-nn","authors_text":"Antonello Scardicchio, Giuseppe De Tomasi, Ivan M. Khaymovich, Soumya Bera","submitted_at":"2019-08-29T18:00:04Z","abstract_excerpt":"We study the finite-time dynamics of an initially localized wave-packet in the Anderson model on the random regular graph (RRG). Considering the full probability distribution $\\Pi(x,t)$ of a particle to be at some distance $x$ from the initial state at time $t$, we give evidence that $\\Pi(x,t)$ spreads sub-diffusively over a range of disorder strengths, wider than a putative non-ergodic phase. We provide a detailed analysis of the propagation of $\\Pi(x,t)$ in space-time $(x,t)$ domain, identifying four different regimes. These regimes in $(x,t)$ are determined by the position of a wave-front $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.11388","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.11388/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1908.11388","created_at":"2026-07-05T00:46:48.195925+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.11388v2","created_at":"2026-07-05T00:46:48.195925+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.11388","created_at":"2026-07-05T00:46:48.195925+00:00"},{"alias_kind":"pith_short_12","alias_value":"IKLER7J5NVOG","created_at":"2026-07-05T00:46:48.195925+00:00"},{"alias_kind":"pith_short_16","alias_value":"IKLER7J5NVOGVTYQ","created_at":"2026-07-05T00:46:48.195925+00:00"},{"alias_kind":"pith_short_8","alias_value":"IKLER7J5","created_at":"2026-07-05T00:46:48.195925+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/IKLER7J5NVOGVTYQ6JZT5IIK6W","json":"https://pith.science/pith/IKLER7J5NVOGVTYQ6JZT5IIK6W.json","graph_json":"https://pith.science/api/pith-number/IKLER7J5NVOGVTYQ6JZT5IIK6W/graph.json","events_json":"https://pith.science/api/pith-number/IKLER7J5NVOGVTYQ6JZT5IIK6W/events.json","paper":"https://pith.science/paper/IKLER7J5"},"agent_actions":{"view_html":"https://pith.science/pith/IKLER7J5NVOGVTYQ6JZT5IIK6W","download_json":"https://pith.science/pith/IKLER7J5NVOGVTYQ6JZT5IIK6W.json","view_paper":"https://pith.science/paper/IKLER7J5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.11388&json=true","fetch_graph":"https://pith.science/api/pith-number/IKLER7J5NVOGVTYQ6JZT5IIK6W/graph.json","fetch_events":"https://pith.science/api/pith-number/IKLER7J5NVOGVTYQ6JZT5IIK6W/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IKLER7J5NVOGVTYQ6JZT5IIK6W/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IKLER7J5NVOGVTYQ6JZT5IIK6W/action/storage_attestation","attest_author":"https://pith.science/pith/IKLER7J5NVOGVTYQ6JZT5IIK6W/action/author_attestation","sign_citation":"https://pith.science/pith/IKLER7J5NVOGVTYQ6JZT5IIK6W/action/citation_signature","submit_replication":"https://pith.science/pith/IKLER7J5NVOGVTYQ6JZT5IIK6W/action/replication_record"}},"created_at":"2026-07-05T00:46:48.195925+00:00","updated_at":"2026-07-05T00:46:48.195925+00:00"}