{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:L4RVWLD7SQDD56DKGWOGQLKWBM","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":"8c1dcb1528ec68aa1fd9caa954eb37b11080d49dfc8ff54933b9df9be702ae81","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-01T12:13:00Z","title_canon_sha256":"42886ae1c7f018feb144799f4ad3eb1b951be76a999adaac1d79ecc8f7930f21"},"schema_version":"1.0","source":{"id":"1407.0209","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.0209","created_at":"2026-05-18T01:55:53Z"},{"alias_kind":"arxiv_version","alias_value":"1407.0209v3","created_at":"2026-05-18T01:55:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.0209","created_at":"2026-05-18T01:55:53Z"},{"alias_kind":"pith_short_12","alias_value":"L4RVWLD7SQDD","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"L4RVWLD7SQDD56DK","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"L4RVWLD7","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:d9cb7b7b6d3b7b64a803b5da674dd808b4e76b2b00f0f2a031e47136bd6071f6","target":"graph","created_at":"2026-05-18T01:55:53Z","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 consider a model of a quenched disordered geometry in which a random metric is defined on ${\\mathbb R}^2$, which is flat on average and presents short-range correlations. We focus on the statistical properties of balls and geodesics, i.e., circles and straight lines. We show numerically that the roughness of a ball of radius $R$ scales as $R^\\chi$, with a fluctuation exponent $\\chi \\simeq 1/3$, while the lateral spread of the minimizing geodesic between two points at a distance $L$ grows as $L^\\xi$, with wandering exponent value $\\xi\\simeq 2/3$. Results on related first-passage percolation ","authors_text":"Javier Rodriguez-Laguna, Rodolfo Cuerno, Silvia N. Santalla, Tom LaGatta","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-01T12:13:00Z","title":"Random geometry and the Kardar-Parisi-Zhang universality class"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.0209","kind":"arxiv","version":3},"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:a3030b9698ac7685a05b652784c9104512215bedaa6bb45410d2cea128b8cff0","target":"record","created_at":"2026-05-18T01:55:53Z","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":"8c1dcb1528ec68aa1fd9caa954eb37b11080d49dfc8ff54933b9df9be702ae81","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-01T12:13:00Z","title_canon_sha256":"42886ae1c7f018feb144799f4ad3eb1b951be76a999adaac1d79ecc8f7930f21"},"schema_version":"1.0","source":{"id":"1407.0209","kind":"arxiv","version":3}},"canonical_sha256":"5f235b2c7f94063ef86a359c682d560b37b42cfb9f1c760ef8ba3485256f630d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5f235b2c7f94063ef86a359c682d560b37b42cfb9f1c760ef8ba3485256f630d","first_computed_at":"2026-05-18T01:55:53.320601Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:55:53.320601Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ubkrj7WLk/PfaN5YYSamhVg/UAkfVVAhr6PYL64n3n4X3uHAYwWjTMZ3Qf5gGn1M8KFVbPNCAo3QeZbZoAw7DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:55:53.321233Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.0209","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3030b9698ac7685a05b652784c9104512215bedaa6bb45410d2cea128b8cff0","sha256:d9cb7b7b6d3b7b64a803b5da674dd808b4e76b2b00f0f2a031e47136bd6071f6"],"state_sha256":"246178c7963d9d95a420bbf618583dc8fafdb7e0734be4d384874728bd482a4c"}