{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:E2XCKYUX6WF4OQ5OXFC3DY4RGC","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":"096f0137514220dbafd105fcb326cf6a64fd0f01908296b4767c86ed6f048612","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-10-05T06:19:21Z","title_canon_sha256":"913b583f2c01774a126d1b00792494e1a5c983682b8ec7229e271a567defbf53"},"schema_version":"1.0","source":{"id":"1710.01892","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.01892","created_at":"2026-05-18T00:29:59Z"},{"alias_kind":"arxiv_version","alias_value":"1710.01892v1","created_at":"2026-05-18T00:29:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.01892","created_at":"2026-05-18T00:29:59Z"},{"alias_kind":"pith_short_12","alias_value":"E2XCKYUX6WF4","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"E2XCKYUX6WF4OQ5O","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"E2XCKYUX","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:f0897bdd5a138d15c1f02b86c36f8637f5d05fdf402e94c6a9578de0c5d541ec","target":"graph","created_at":"2026-05-18T00:29:59Z","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":"We study the isothermal Brownian dynamics of a particle in a system with spatially varying diffusivity. Due to the heterogeneity of the system, the particle's mean displacement does not vanish even if it does not experience any physical force. This phenomenon has been termed \"noise-induced drift\", and has been extensively studied for one-dimensional systems. Here, we examine the noise-induced drift in a two-dimensional anisotropic system, characterized by a symmetric diffusion tensor with unequal diagonal elements. A general expression for the mean displacement vector is derived and presented ","authors_text":"Oded Farago","cross_cats":["cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-10-05T06:19:21Z","title":"Noise-induced drift in two-dimensional anisotropic systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.01892","kind":"arxiv","version":1},"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":"sha256:449bc8832233617827ce91fe7d29b4f4d7a29ad5b2aa48de5d2a41e701acc9b6","target":"record","created_at":"2026-05-18T00:29:59Z","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":"096f0137514220dbafd105fcb326cf6a64fd0f01908296b4767c86ed6f048612","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-10-05T06:19:21Z","title_canon_sha256":"913b583f2c01774a126d1b00792494e1a5c983682b8ec7229e271a567defbf53"},"schema_version":"1.0","source":{"id":"1710.01892","kind":"arxiv","version":1}},"canonical_sha256":"26ae256297f58bc743aeb945b1e391309fcfc937c578ca9733e1525836eb0407","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"26ae256297f58bc743aeb945b1e391309fcfc937c578ca9733e1525836eb0407","first_computed_at":"2026-05-18T00:29:59.592896Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:59.592896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eGFzF7L5TzfBKQYrOCfeH4HPsXfddSNaawetH+kr6z/nyDlRtrsEPt501Jom1oaUzphTboXsyh7Deg0XqgeLDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:59.593372Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.01892","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:449bc8832233617827ce91fe7d29b4f4d7a29ad5b2aa48de5d2a41e701acc9b6","sha256:f0897bdd5a138d15c1f02b86c36f8637f5d05fdf402e94c6a9578de0c5d541ec"],"state_sha256":"4aeeeeed7068bc6328c546b0003d2e941fad26b8a03b872f6b9e9a64fcfa0fba"}