{"paper":{"title":"Directed Paths in Random Media","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat","authors_text":"Mehran Kardar","submitted_at":"1994-10-31T19:42:10Z","abstract_excerpt":"Contents:\n  A. Introduction\n  B. High Temperature Expansions for the Ising Model\n  C. Characteristic Functions and Cumulants\n  D. The One Dimensional Chain\n  E. Directed Paths and the Transfer Matrix\n  F. Moments of the Correlation Function\n  G. The Probability Distribution in Two Dimensions\n  H. Higher Dimensions\n  I. Random Signs\n  J. Other Realizations of DPRM\n  K. Quantum Interference of Strongly Localized Electrons\n  L. The Locator Expansion and Forward Scattering Paths\n  M. Magnetic Field Response\n  N. Unitary Propagation\n  O. Unitary Averages\n  P. Summing all Paths in High Dimensions\n  "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9411022","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/9411022/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"}