{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5GAZMJNAZO5N44OYC5H77W5JYY","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":"529e00950411b0dbe6a7f9e949a6d66923a5d126fafed40a86a5a873c5bc14b4","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2017-06-16T18:00:01Z","title_canon_sha256":"8e116e6c493526c38f1fb2ba005a4352b06176d3c61b958ed1f3c2dccbf8cbf3"},"schema_version":"1.0","source":{"id":"1706.05382","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.05382","created_at":"2026-05-18T00:38:20Z"},{"alias_kind":"arxiv_version","alias_value":"1706.05382v3","created_at":"2026-05-18T00:38:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.05382","created_at":"2026-05-18T00:38:20Z"},{"alias_kind":"pith_short_12","alias_value":"5GAZMJNAZO5N","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5GAZMJNAZO5N44OY","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5GAZMJNA","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:209b5bed79e2303b5a328c9f8056cc0ecfa298ea81c2bb934ff55ee695c9bc7d","target":"graph","created_at":"2026-05-18T00:38:20Z","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"},"paper":{"abstract_excerpt":"We introduce and explore a family of self-dual models of single-particle motion in quasiperiodic potentials, with hopping amplitudes that fall off as a power law with exponent $p$. These models are generalizations of the familiar Aubry-Andre model. For large enough $p$, their static properties are similar to those of the Aubry-Andre model, although the low-frequency conductivity in the localized phase is sensitive to $p$. For $p \\leq 2.1$ the Aubry-Andre localization transition splits into three transitions; two distinct intermediate regimes with both localized and delocalized states appear ne","authors_text":"Sarang Gopalakrishnan","cross_cats":["cond-mat.mes-hall","cond-mat.quant-gas"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2017-06-16T18:00:01Z","title":"Self-dual quasiperiodic systems with power-law hopping"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.05382","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:b254853ae48acf664feeadbcf3c088ba7654e67e1c9908c6c9fae335cdaecf72","target":"record","created_at":"2026-05-18T00:38:20Z","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":"529e00950411b0dbe6a7f9e949a6d66923a5d126fafed40a86a5a873c5bc14b4","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2017-06-16T18:00:01Z","title_canon_sha256":"8e116e6c493526c38f1fb2ba005a4352b06176d3c61b958ed1f3c2dccbf8cbf3"},"schema_version":"1.0","source":{"id":"1706.05382","kind":"arxiv","version":3}},"canonical_sha256":"e9819625a0cbbade71d8174fffdba9c61e22d1d9396526f5515b3cb19c13a868","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e9819625a0cbbade71d8174fffdba9c61e22d1d9396526f5515b3cb19c13a868","first_computed_at":"2026-05-18T00:38:20.516912Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:20.516912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"edx6aFJU1/G6tdCWJIg+m5i3SUHLa8i+a8Piphu74Ymu9IyDoFAEABf/ujn9ft+sLNCcgjF9HESx2JWjq/EXAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:20.517600Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.05382","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b254853ae48acf664feeadbcf3c088ba7654e67e1c9908c6c9fae335cdaecf72","sha256:209b5bed79e2303b5a328c9f8056cc0ecfa298ea81c2bb934ff55ee695c9bc7d"],"state_sha256":"d8ec57579d9c69288e71f8ad0068a4348274d3e32faa086f93e7c76e1d601ea3"}