{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:MBYLR7ZK5X7LATWJTS4AF5YYKV","short_pith_number":"pith:MBYLR7ZK","schema_version":"1.0","canonical_sha256":"6070b8ff2aedfeb04ec99cb802f7185576f27f40bffbdb8089b90a30f9aeef66","source":{"kind":"arxiv","id":"2508.04674","version":2},"attestation_state":"computed","paper":{"title":"Diffusion in a $d$-dimensional rough potential","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Emilio Mendoza Reyes, Enrique Martinez, Fadi Abdeljawad, Jacob Jeffries, Murray Daw","submitted_at":"2025-08-06T17:41:22Z","abstract_excerpt":"The prediction of diffusion in solids is necessary to understand the microstructure evolution in materials out of equilibrium. Although one can reasonably predict diffusive transport coefficients using atomistic methods, these approaches can be very computationally expensive. In this work, we develop an analytical model for the diffusivity in a noisy solid solution in an arbitrary number of dimensions ($d$) using a mean first passage time analysis. We observe that roughness always decreases the diffusivity, aligning with sluggish diffusion theories in concentrated alloys, finding that an incre"},"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":"2508.04674","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2025-08-06T17:41:22Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"3bba2469540b9f830684457bf47899a94b29def390bc1d9b125c0b8e0b255a4d","abstract_canon_sha256":"12cab2aab4d1463b24b3a2384fef82ab9d0ee79f1947af27e13d1719a259945a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:12:04.031041Z","signature_b64":"Cxv/8QgZhp7GCufFeAzfFBQQEztiNw12z/cQRVg+YaUCBQH8rHuLWCMl7WWR0kp1x3S2jRv4wNyWofacliJxDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6070b8ff2aedfeb04ec99cb802f7185576f27f40bffbdb8089b90a30f9aeef66","last_reissued_at":"2026-06-19T16:12:04.030622Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:12:04.030622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Diffusion in a $d$-dimensional rough potential","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Emilio Mendoza Reyes, Enrique Martinez, Fadi Abdeljawad, Jacob Jeffries, Murray Daw","submitted_at":"2025-08-06T17:41:22Z","abstract_excerpt":"The prediction of diffusion in solids is necessary to understand the microstructure evolution in materials out of equilibrium. Although one can reasonably predict diffusive transport coefficients using atomistic methods, these approaches can be very computationally expensive. In this work, we develop an analytical model for the diffusivity in a noisy solid solution in an arbitrary number of dimensions ($d$) using a mean first passage time analysis. We observe that roughness always decreases the diffusivity, aligning with sluggish diffusion theories in concentrated alloys, finding that an incre"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.04674","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/2508.04674/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":"2508.04674","created_at":"2026-06-19T16:12:04.030680+00:00"},{"alias_kind":"arxiv_version","alias_value":"2508.04674v2","created_at":"2026-06-19T16:12:04.030680+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.04674","created_at":"2026-06-19T16:12:04.030680+00:00"},{"alias_kind":"pith_short_12","alias_value":"MBYLR7ZK5X7L","created_at":"2026-06-19T16:12:04.030680+00:00"},{"alias_kind":"pith_short_16","alias_value":"MBYLR7ZK5X7LATWJ","created_at":"2026-06-19T16:12:04.030680+00:00"},{"alias_kind":"pith_short_8","alias_value":"MBYLR7ZK","created_at":"2026-06-19T16:12:04.030680+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/MBYLR7ZK5X7LATWJTS4AF5YYKV","json":"https://pith.science/pith/MBYLR7ZK5X7LATWJTS4AF5YYKV.json","graph_json":"https://pith.science/api/pith-number/MBYLR7ZK5X7LATWJTS4AF5YYKV/graph.json","events_json":"https://pith.science/api/pith-number/MBYLR7ZK5X7LATWJTS4AF5YYKV/events.json","paper":"https://pith.science/paper/MBYLR7ZK"},"agent_actions":{"view_html":"https://pith.science/pith/MBYLR7ZK5X7LATWJTS4AF5YYKV","download_json":"https://pith.science/pith/MBYLR7ZK5X7LATWJTS4AF5YYKV.json","view_paper":"https://pith.science/paper/MBYLR7ZK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2508.04674&json=true","fetch_graph":"https://pith.science/api/pith-number/MBYLR7ZK5X7LATWJTS4AF5YYKV/graph.json","fetch_events":"https://pith.science/api/pith-number/MBYLR7ZK5X7LATWJTS4AF5YYKV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MBYLR7ZK5X7LATWJTS4AF5YYKV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MBYLR7ZK5X7LATWJTS4AF5YYKV/action/storage_attestation","attest_author":"https://pith.science/pith/MBYLR7ZK5X7LATWJTS4AF5YYKV/action/author_attestation","sign_citation":"https://pith.science/pith/MBYLR7ZK5X7LATWJTS4AF5YYKV/action/citation_signature","submit_replication":"https://pith.science/pith/MBYLR7ZK5X7LATWJTS4AF5YYKV/action/replication_record"}},"created_at":"2026-06-19T16:12:04.030680+00:00","updated_at":"2026-06-19T16:12:04.030680+00:00"}