{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:IGZZESCJNG4IUZCVWGGJ3UREFA","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":"50cde058035069325a28fab2ba916d3f16667a810bc735979541250cd5caf386","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.stat-mech","physics.atom-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-09-04T18:42:05Z","title_canon_sha256":"6dd25157c57b261ab2bc610f6d6d3fe86438dde7e8ca227d1f187a7b06b2fb2f"},"schema_version":"1.0","source":{"id":"1909.02048","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.02048","created_at":"2026-07-05T00:42:20Z"},{"alias_kind":"arxiv_version","alias_value":"1909.02048v3","created_at":"2026-07-05T00:42:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.02048","created_at":"2026-07-05T00:42:20Z"},{"alias_kind":"pith_short_12","alias_value":"IGZZESCJNG4I","created_at":"2026-07-05T00:42:20Z"},{"alias_kind":"pith_short_16","alias_value":"IGZZESCJNG4IUZCV","created_at":"2026-07-05T00:42:20Z"},{"alias_kind":"pith_short_8","alias_value":"IGZZESCJ","created_at":"2026-07-05T00:42:20Z"}],"graph_snapshots":[{"event_id":"sha256:a487d93cd4abe1d73e3594524cfbd0a837c4d5a633a086fa4804ae6a2b074891","target":"graph","created_at":"2026-07-05T00:42:20Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1909.02048/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a two-dimensional generalisation of the quasiperiodic Aubry-Andr\\'e model. Even though this model exhibits the same duality relation as the one-dimensional version, its localisation properties are found to be substantially more complex. In particular, partially extended single-particle states appear for arbitrarily strong quasiperiodic modulation. They are concentrated on a network of low-disorder lattice lines, while the rest of the lattice hosts localised states. This spatial separation protects the localised states from delocalisation, so no mobility edge emerges in the spectru","authors_text":"Attila Szab\\'o, Ulrich Schneider","cross_cats":["cond-mat.quant-gas","cond-mat.stat-mech","physics.atom-ph","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-09-04T18:42:05Z","title":"Mixed spectra and partially extended states in a two-dimensional quasiperiodic model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.02048","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":"sha256:00c9a216bf5c10a9f63669d168bbdc3636c7fad9f9ea556baac8bdc5a8462ae2","target":"record","created_at":"2026-07-05T00:42:20Z","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":"50cde058035069325a28fab2ba916d3f16667a810bc735979541250cd5caf386","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.stat-mech","physics.atom-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-09-04T18:42:05Z","title_canon_sha256":"6dd25157c57b261ab2bc610f6d6d3fe86438dde7e8ca227d1f187a7b06b2fb2f"},"schema_version":"1.0","source":{"id":"1909.02048","kind":"arxiv","version":3}},"canonical_sha256":"41b392484969b88a6455b18c9dd224282b576619aa4802b81ca434eae6dce538","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41b392484969b88a6455b18c9dd224282b576619aa4802b81ca434eae6dce538","first_computed_at":"2026-07-05T00:42:20.189167Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:42:20.189167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KwFkv0LBdzTANQ02JgC/hz8NJNuJ4IZzAA8EtQSX0FS5dQ8cKGIrwhYEy7Clcf1hTTRX0vULnktYtWcWX6aRCA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:42:20.189664Z","signed_message":"canonical_sha256_bytes"},"source_id":"1909.02048","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00c9a216bf5c10a9f63669d168bbdc3636c7fad9f9ea556baac8bdc5a8462ae2","sha256:a487d93cd4abe1d73e3594524cfbd0a837c4d5a633a086fa4804ae6a2b074891"],"state_sha256":"f63c0e4354065260e1a97f3d5fda1e61c67940f92722dcb40e7b2307895ace9f"}