{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:5GAZMJNAZO5N44OYC5H77W5JYY","short_pith_number":"pith:5GAZMJNA","schema_version":"1.0","canonical_sha256":"e9819625a0cbbade71d8174fffdba9c61e22d1d9396526f5515b3cb19c13a868","source":{"kind":"arxiv","id":"1706.05382","version":3},"attestation_state":"computed","paper":{"title":"Self-dual quasiperiodic systems with power-law hopping","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.quant-gas"],"primary_cat":"cond-mat.dis-nn","authors_text":"Sarang Gopalakrishnan","submitted_at":"2017-06-16T18:00:01Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1706.05382","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2017-06-16T18:00:01Z","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.quant-gas"],"title_canon_sha256":"8e116e6c493526c38f1fb2ba005a4352b06176d3c61b958ed1f3c2dccbf8cbf3","abstract_canon_sha256":"529e00950411b0dbe6a7f9e949a6d66923a5d126fafed40a86a5a873c5bc14b4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:20.517600Z","signature_b64":"edx6aFJU1/G6tdCWJIg+m5i3SUHLa8i+a8Piphu74Ymu9IyDoFAEABf/ujn9ft+sLNCcgjF9HESx2JWjq/EXAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e9819625a0cbbade71d8174fffdba9c61e22d1d9396526f5515b3cb19c13a868","last_reissued_at":"2026-05-18T00:38:20.516912Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:20.516912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Self-dual quasiperiodic systems with power-law hopping","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.quant-gas"],"primary_cat":"cond-mat.dis-nn","authors_text":"Sarang Gopalakrishnan","submitted_at":"2017-06-16T18:00:01Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.05382","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1706.05382","created_at":"2026-05-18T00:38:20.517044+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.05382v3","created_at":"2026-05-18T00:38:20.517044+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.05382","created_at":"2026-05-18T00:38:20.517044+00:00"},{"alias_kind":"pith_short_12","alias_value":"5GAZMJNAZO5N","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_16","alias_value":"5GAZMJNAZO5N44OY","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_8","alias_value":"5GAZMJNA","created_at":"2026-05-18T12:31:00.734936+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.21423","citing_title":"Temperature-induced optical enhancement near a localization transition","ref_index":84,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5GAZMJNAZO5N44OYC5H77W5JYY","json":"https://pith.science/pith/5GAZMJNAZO5N44OYC5H77W5JYY.json","graph_json":"https://pith.science/api/pith-number/5GAZMJNAZO5N44OYC5H77W5JYY/graph.json","events_json":"https://pith.science/api/pith-number/5GAZMJNAZO5N44OYC5H77W5JYY/events.json","paper":"https://pith.science/paper/5GAZMJNA"},"agent_actions":{"view_html":"https://pith.science/pith/5GAZMJNAZO5N44OYC5H77W5JYY","download_json":"https://pith.science/pith/5GAZMJNAZO5N44OYC5H77W5JYY.json","view_paper":"https://pith.science/paper/5GAZMJNA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.05382&json=true","fetch_graph":"https://pith.science/api/pith-number/5GAZMJNAZO5N44OYC5H77W5JYY/graph.json","fetch_events":"https://pith.science/api/pith-number/5GAZMJNAZO5N44OYC5H77W5JYY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5GAZMJNAZO5N44OYC5H77W5JYY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5GAZMJNAZO5N44OYC5H77W5JYY/action/storage_attestation","attest_author":"https://pith.science/pith/5GAZMJNAZO5N44OYC5H77W5JYY/action/author_attestation","sign_citation":"https://pith.science/pith/5GAZMJNAZO5N44OYC5H77W5JYY/action/citation_signature","submit_replication":"https://pith.science/pith/5GAZMJNAZO5N44OYC5H77W5JYY/action/replication_record"}},"created_at":"2026-05-18T00:38:20.517044+00:00","updated_at":"2026-05-18T00:38:20.517044+00:00"}