{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:LNJEAWQZK6CCVFPNTI7VPQFO5E","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":"7021dcfd20ee24425a4e4ebd21effe10598790637c20f7f7f6fa56f64505ef3b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-05-06T01:36:29Z","title_canon_sha256":"46e593d8d99004b6f75422de70280e30672a2296f412865c6e343073f04b584e"},"schema_version":"1.0","source":{"id":"1405.1122","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.1122","created_at":"2026-05-18T01:31:11Z"},{"alias_kind":"arxiv_version","alias_value":"1405.1122v2","created_at":"2026-05-18T01:31:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.1122","created_at":"2026-05-18T01:31:11Z"},{"alias_kind":"pith_short_12","alias_value":"LNJEAWQZK6CC","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"LNJEAWQZK6CCVFPN","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"LNJEAWQZ","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:b20377b501547f05199e28a410d6e9d867481afc3b12f69e5273fb42c3bf27b0","target":"graph","created_at":"2026-05-18T01:31:11Z","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":"Localization of waves by disorder is a fundamental physical problem encompassing a diverse spectrum of theoretical, experimental and numerical studies in the context of metal-insulator transition, quantum Hall effect, light propagation in photonic crystals, and dynamics of ultra-cold atoms in optical arrays. Large intensity light can induce nonlinear response, ultracold atomic gases can be tuned into an interacting regime, which leads again to nonlinear wave equations on a mean field level. The interplay between disorder and nonlinearity, their localizing and delocalizing effects is currently ","authors_text":"Sergej Flach","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-05-06T01:36:29Z","title":"Nonlinear Lattice Waves in Random Potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.1122","kind":"arxiv","version":2},"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:a33e05a1c0a1698aeaa01a772f5740836387c9ffc6a2b329e6e8b0c5fada0fec","target":"record","created_at":"2026-05-18T01:31:11Z","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":"7021dcfd20ee24425a4e4ebd21effe10598790637c20f7f7f6fa56f64505ef3b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2014-05-06T01:36:29Z","title_canon_sha256":"46e593d8d99004b6f75422de70280e30672a2296f412865c6e343073f04b584e"},"schema_version":"1.0","source":{"id":"1405.1122","kind":"arxiv","version":2}},"canonical_sha256":"5b52405a1957842a95ed9a3f57c0aee9047d7baa31d84ea58e6fbe89b14e06e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b52405a1957842a95ed9a3f57c0aee9047d7baa31d84ea58e6fbe89b14e06e8","first_computed_at":"2026-05-18T01:31:11.852313Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:11.852313Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uzSmRkiugi+0r4eA7IN0/tSfz3nI3/992VMrKX6/Xplw3xIMFzYQJlUyUB5mOW0aAGAjEtP9VIp9DEf2fHhRCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:11.852900Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.1122","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a33e05a1c0a1698aeaa01a772f5740836387c9ffc6a2b329e6e8b0c5fada0fec","sha256:b20377b501547f05199e28a410d6e9d867481afc3b12f69e5273fb42c3bf27b0"],"state_sha256":"e317dc58c3ab5c15ee2f97538bad01a31ba30008c6950751f45ddc2d9cdac52a"}