{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:4L34MPHLCV75VNCOAOYOXESNLI","short_pith_number":"pith:4L34MPHL","schema_version":"1.0","canonical_sha256":"e2f7c63ceb157fdab44e03b0eb924d5a07d44817aa9452e4b607e10569742357","source":{"kind":"arxiv","id":"1508.04414","version":2},"attestation_state":"computed","paper":{"title":"Devil's staircase phase diagram of the fractional quantum Hall effect in the thin-torus limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"Luca Guido Molinari, Marco Gherardi, Piergiorgio Ratti, Pietro Rotondo","submitted_at":"2015-08-18T19:12:35Z","abstract_excerpt":"After more than three decades the fractional quantum Hall effect still poses challenges to contemporary physics. Recent experiments point toward a fractal scenario for the Hall resistivity as a function of the magnetic field. Here, we consider the so-called thin-torus limit of the Hamiltonian describing interacting electrons in a strong magnetic field, restricted to the lowest Landau level, and we show that it can be mapped onto a one-dimensional lattice gas with repulsive interactions, with the magnetic field playing the role of a chemical potential. The statistical mechanics of such models l"},"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":"1508.04414","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-08-18T19:12:35Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"326ae5b86d9c88814f0010e606f2e075f66fbbf2f4e205489ca5b1b83c357740","abstract_canon_sha256":"3d279b697f6e9916b06ffa1ce10efdf7eeeb052c5f6526b7f4db9a7cca64b212"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:46.724184Z","signature_b64":"b8QUcLML3vEa2z1aOuYpE4z3MCGuZIpoL3/V4xQJL2vYlEABlpAZTmSOvlgvBVXeqQnR/QKOnECIlPxicJOWBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2f7c63ceb157fdab44e03b0eb924d5a07d44817aa9452e4b607e10569742357","last_reissued_at":"2026-05-18T01:11:46.723813Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:46.723813Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Devil's staircase phase diagram of the fractional quantum Hall effect in the thin-torus limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"Luca Guido Molinari, Marco Gherardi, Piergiorgio Ratti, Pietro Rotondo","submitted_at":"2015-08-18T19:12:35Z","abstract_excerpt":"After more than three decades the fractional quantum Hall effect still poses challenges to contemporary physics. Recent experiments point toward a fractal scenario for the Hall resistivity as a function of the magnetic field. Here, we consider the so-called thin-torus limit of the Hamiltonian describing interacting electrons in a strong magnetic field, restricted to the lowest Landau level, and we show that it can be mapped onto a one-dimensional lattice gas with repulsive interactions, with the magnetic field playing the role of a chemical potential. The statistical mechanics of such models l"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.04414","kind":"arxiv","version":2},"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":"1508.04414","created_at":"2026-05-18T01:11:46.723875+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.04414v2","created_at":"2026-05-18T01:11:46.723875+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.04414","created_at":"2026-05-18T01:11:46.723875+00:00"},{"alias_kind":"pith_short_12","alias_value":"4L34MPHLCV75","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_16","alias_value":"4L34MPHLCV75VNCO","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_8","alias_value":"4L34MPHL","created_at":"2026-05-18T12:29:05.191682+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4L34MPHLCV75VNCOAOYOXESNLI","json":"https://pith.science/pith/4L34MPHLCV75VNCOAOYOXESNLI.json","graph_json":"https://pith.science/api/pith-number/4L34MPHLCV75VNCOAOYOXESNLI/graph.json","events_json":"https://pith.science/api/pith-number/4L34MPHLCV75VNCOAOYOXESNLI/events.json","paper":"https://pith.science/paper/4L34MPHL"},"agent_actions":{"view_html":"https://pith.science/pith/4L34MPHLCV75VNCOAOYOXESNLI","download_json":"https://pith.science/pith/4L34MPHLCV75VNCOAOYOXESNLI.json","view_paper":"https://pith.science/paper/4L34MPHL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.04414&json=true","fetch_graph":"https://pith.science/api/pith-number/4L34MPHLCV75VNCOAOYOXESNLI/graph.json","fetch_events":"https://pith.science/api/pith-number/4L34MPHLCV75VNCOAOYOXESNLI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4L34MPHLCV75VNCOAOYOXESNLI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4L34MPHLCV75VNCOAOYOXESNLI/action/storage_attestation","attest_author":"https://pith.science/pith/4L34MPHLCV75VNCOAOYOXESNLI/action/author_attestation","sign_citation":"https://pith.science/pith/4L34MPHLCV75VNCOAOYOXESNLI/action/citation_signature","submit_replication":"https://pith.science/pith/4L34MPHLCV75VNCOAOYOXESNLI/action/replication_record"}},"created_at":"2026-05-18T01:11:46.723875+00:00","updated_at":"2026-05-18T01:11:46.723875+00:00"}