{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:IJDNYAND4JOX273YQIWLQBBNOD","short_pith_number":"pith:IJDNYAND","schema_version":"1.0","canonical_sha256":"4246dc01a3e25d7d7f78822cb8042d70d0ed4583ec104e51327e81e64a143ead","source":{"kind":"arxiv","id":"2508.15999","version":1},"attestation_state":"computed","paper":{"title":"Universal Fluctuations in the Tail Probability for d=2 Random Walks in Space-Time Random Environments","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Eric I. Corwin, Franscesca Ark, Jacob B. Hass","submitted_at":"2025-08-21T23:19:32Z","abstract_excerpt":"Many diffusive systems involve correlated random walkers due to a shared environment. Such systems can be modeled as random walks in random environments (RWRE). These models differ from classical diffusion in the behavior of the extremes -- the walkers that move the fastest or farthest. In spatial dimension $d=1$ RWRE models have been well studied numerically and analytically and exhibit universal behavior in the Kardar-Parisi-Zhang universality class. Here, we study discrete lattice RWRE models in $d=2$. We find that the tail probability exhibits a different universal scaling form, which is n"},"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":"2508.15999","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-08-21T23:19:32Z","cross_cats_sorted":[],"title_canon_sha256":"80b453441848baa3ba7f3f37207b3780a60316096c529e9f695b345e219c5bd9","abstract_canon_sha256":"ccc471fcc9bd8054627fdc03c7d99419d4590e41150eb9b4a671e3954ca308b4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:57:24.390291Z","signature_b64":"hzt/l475B0LfxoKb+eIRJsfPYpKAUvUG2FeJ/F13qd1jEPQLs9aHWZTlEp+OBf2fi1xtGVg80Xs8i98NCUAvDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4246dc01a3e25d7d7f78822cb8042d70d0ed4583ec104e51327e81e64a143ead","last_reissued_at":"2026-07-05T11:57:24.389754Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:57:24.389754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Universal Fluctuations in the Tail Probability for d=2 Random Walks in Space-Time Random Environments","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Eric I. Corwin, Franscesca Ark, Jacob B. Hass","submitted_at":"2025-08-21T23:19:32Z","abstract_excerpt":"Many diffusive systems involve correlated random walkers due to a shared environment. Such systems can be modeled as random walks in random environments (RWRE). These models differ from classical diffusion in the behavior of the extremes -- the walkers that move the fastest or farthest. In spatial dimension $d=1$ RWRE models have been well studied numerically and analytically and exhibit universal behavior in the Kardar-Parisi-Zhang universality class. Here, we study discrete lattice RWRE models in $d=2$. We find that the tail probability exhibits a different universal scaling form, which is n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.15999","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/2508.15999/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":"2508.15999","created_at":"2026-07-05T11:57:24.389812+00:00"},{"alias_kind":"arxiv_version","alias_value":"2508.15999v1","created_at":"2026-07-05T11:57:24.389812+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.15999","created_at":"2026-07-05T11:57:24.389812+00:00"},{"alias_kind":"pith_short_12","alias_value":"IJDNYAND4JOX","created_at":"2026-07-05T11:57:24.389812+00:00"},{"alias_kind":"pith_short_16","alias_value":"IJDNYAND4JOX273Y","created_at":"2026-07-05T11:57:24.389812+00:00"},{"alias_kind":"pith_short_8","alias_value":"IJDNYAND","created_at":"2026-07-05T11:57:24.389812+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/IJDNYAND4JOX273YQIWLQBBNOD","json":"https://pith.science/pith/IJDNYAND4JOX273YQIWLQBBNOD.json","graph_json":"https://pith.science/api/pith-number/IJDNYAND4JOX273YQIWLQBBNOD/graph.json","events_json":"https://pith.science/api/pith-number/IJDNYAND4JOX273YQIWLQBBNOD/events.json","paper":"https://pith.science/paper/IJDNYAND"},"agent_actions":{"view_html":"https://pith.science/pith/IJDNYAND4JOX273YQIWLQBBNOD","download_json":"https://pith.science/pith/IJDNYAND4JOX273YQIWLQBBNOD.json","view_paper":"https://pith.science/paper/IJDNYAND","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2508.15999&json=true","fetch_graph":"https://pith.science/api/pith-number/IJDNYAND4JOX273YQIWLQBBNOD/graph.json","fetch_events":"https://pith.science/api/pith-number/IJDNYAND4JOX273YQIWLQBBNOD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IJDNYAND4JOX273YQIWLQBBNOD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IJDNYAND4JOX273YQIWLQBBNOD/action/storage_attestation","attest_author":"https://pith.science/pith/IJDNYAND4JOX273YQIWLQBBNOD/action/author_attestation","sign_citation":"https://pith.science/pith/IJDNYAND4JOX273YQIWLQBBNOD/action/citation_signature","submit_replication":"https://pith.science/pith/IJDNYAND4JOX273YQIWLQBBNOD/action/replication_record"}},"created_at":"2026-07-05T11:57:24.389812+00:00","updated_at":"2026-07-05T11:57:24.389812+00:00"}