{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:L5SAXC5UJPC7AYWDQGT5CPCSXL","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":"e5416b2fc20f856fc7a1cd6f8b1858321e1443be1e2db2939723c5e44b96fda0","cross_cats_sorted":["cond-mat.quant-gas","nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-05-13T19:26:19Z","title_canon_sha256":"af737352bf9b3dc3a1c3ccc8eb2295137d4914c14676e5a929d5c5e7baa5817d"},"schema_version":"1.0","source":{"id":"1305.3232","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.3232","created_at":"2026-05-18T02:58:21Z"},{"alias_kind":"arxiv_version","alias_value":"1305.3232v1","created_at":"2026-05-18T02:58:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3232","created_at":"2026-05-18T02:58:21Z"},{"alias_kind":"pith_short_12","alias_value":"L5SAXC5UJPC7","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"L5SAXC5UJPC7AYWD","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"L5SAXC5U","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:a4a5c27574a020c8304780caec5e16fe18f59b537f65038f6bfca08176019456","target":"graph","created_at":"2026-05-18T02:58:21Z","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 investigate disorder induced localization in the presence of nonlinearity and curvature. We numerically analyze the time-resolved three-dimensional expansion of a wave-packet in a bended cigar shaped potential with a focusing Kerr-like interaction term and Gaussian disorder. We report on a self-consistent analytical theory in which randomness, nonlinearity and geometry are determined by a single scaling parameter, and show that curvature enhances localization.","authors_text":"Claudio Conti","cross_cats":["cond-mat.quant-gas","nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-05-13T19:26:19Z","title":"Linear and nonlinear Anderson localization in a curved potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3232","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:a87b8f052a0d24a91b90b3f3814deec164d3bfdb444b7c8027e342d1571fc647","target":"record","created_at":"2026-05-18T02:58:21Z","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":"e5416b2fc20f856fc7a1cd6f8b1858321e1443be1e2db2939723c5e44b96fda0","cross_cats_sorted":["cond-mat.quant-gas","nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-05-13T19:26:19Z","title_canon_sha256":"af737352bf9b3dc3a1c3ccc8eb2295137d4914c14676e5a929d5c5e7baa5817d"},"schema_version":"1.0","source":{"id":"1305.3232","kind":"arxiv","version":1}},"canonical_sha256":"5f640b8bb44bc5f062c381a7d13c52baefbae09d854c510776c08c1d4e11c3ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5f640b8bb44bc5f062c381a7d13c52baefbae09d854c510776c08c1d4e11c3ea","first_computed_at":"2026-05-18T02:58:21.922618Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:21.922618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kVht6Yq6z08G0UQc1L1EjQgcvCBTif0Zmwx/+wrvijrSQx5sxP/iKd5NuNnBt1FMaXBfe5m5SvftWpua+ETwBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:21.923073Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.3232","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a87b8f052a0d24a91b90b3f3814deec164d3bfdb444b7c8027e342d1571fc647","sha256:a4a5c27574a020c8304780caec5e16fe18f59b537f65038f6bfca08176019456"],"state_sha256":"7e44fa06a2a178c32098251a65162d4804dfc63893d86b89f783b1380a6135f1"}