{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:UADN4JH4NUUIJECX6LTYFP4RH6","short_pith_number":"pith:UADN4JH4","schema_version":"1.0","canonical_sha256":"a006de24fc6d28849057f2e782bf913f8a81813281d2ac3f7eb546b58eedcbc5","source":{"kind":"arxiv","id":"1004.4037","version":2},"attestation_state":"computed","paper":{"title":"Exact spin quantum Hall current between boundaries of a lattice strip","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Anita Ponsaing, Bernard Nienhuis, Jan de Gier","submitted_at":"2010-04-23T01:38:06Z","abstract_excerpt":"Employing an inhomogeneous solvable lattice model, we derive an exact expression for a boundary-to-boundary edge current on a lattice of finite width. This current is an example of a class of parafermionic observables recently introduced in an attempt to rigorously prove conformal invariance of the scaling limit of critical two-dimensional lattice models. It also corresponds to the spin current at the spin-Quantum Hall transition in a model introduced by Chalker and Coddington, and generalized by Gruzberg, Ludwig and Read. Our result is derived from a solution of the $q$-deformed Knizhnik-Zamo"},"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":"1004.4037","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-04-23T01:38:06Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-th","math.MP"],"title_canon_sha256":"21cff5ea7c449a65fd3e3bde203faea285295692eef382ca0b5139f7c0d08cd3","abstract_canon_sha256":"99644363df92b3b222db05252ae0ae9f1169b8b3287ce8e1c9c529881a50b8ce"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:42:03.258632Z","signature_b64":"V6KK944IAq6/lxrN7CsS1Zn/JZmRkbJd/cuuKDFm4viwwLrf6/krnueguWe9UB03q3HBDkm7mg9bGVO1cq+rDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a006de24fc6d28849057f2e782bf913f8a81813281d2ac3f7eb546b58eedcbc5","last_reissued_at":"2026-05-18T04:42:03.258103Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:42:03.258103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exact spin quantum Hall current between boundaries of a lattice strip","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Anita Ponsaing, Bernard Nienhuis, Jan de Gier","submitted_at":"2010-04-23T01:38:06Z","abstract_excerpt":"Employing an inhomogeneous solvable lattice model, we derive an exact expression for a boundary-to-boundary edge current on a lattice of finite width. This current is an example of a class of parafermionic observables recently introduced in an attempt to rigorously prove conformal invariance of the scaling limit of critical two-dimensional lattice models. It also corresponds to the spin current at the spin-Quantum Hall transition in a model introduced by Chalker and Coddington, and generalized by Gruzberg, Ludwig and Read. Our result is derived from a solution of the $q$-deformed Knizhnik-Zamo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.4037","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":"1004.4037","created_at":"2026-05-18T04:42:03.258179+00:00"},{"alias_kind":"arxiv_version","alias_value":"1004.4037v2","created_at":"2026-05-18T04:42:03.258179+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.4037","created_at":"2026-05-18T04:42:03.258179+00:00"},{"alias_kind":"pith_short_12","alias_value":"UADN4JH4NUUI","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_16","alias_value":"UADN4JH4NUUIJECX","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_8","alias_value":"UADN4JH4","created_at":"2026-05-18T12:26:15.391820+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/UADN4JH4NUUIJECX6LTYFP4RH6","json":"https://pith.science/pith/UADN4JH4NUUIJECX6LTYFP4RH6.json","graph_json":"https://pith.science/api/pith-number/UADN4JH4NUUIJECX6LTYFP4RH6/graph.json","events_json":"https://pith.science/api/pith-number/UADN4JH4NUUIJECX6LTYFP4RH6/events.json","paper":"https://pith.science/paper/UADN4JH4"},"agent_actions":{"view_html":"https://pith.science/pith/UADN4JH4NUUIJECX6LTYFP4RH6","download_json":"https://pith.science/pith/UADN4JH4NUUIJECX6LTYFP4RH6.json","view_paper":"https://pith.science/paper/UADN4JH4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1004.4037&json=true","fetch_graph":"https://pith.science/api/pith-number/UADN4JH4NUUIJECX6LTYFP4RH6/graph.json","fetch_events":"https://pith.science/api/pith-number/UADN4JH4NUUIJECX6LTYFP4RH6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UADN4JH4NUUIJECX6LTYFP4RH6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UADN4JH4NUUIJECX6LTYFP4RH6/action/storage_attestation","attest_author":"https://pith.science/pith/UADN4JH4NUUIJECX6LTYFP4RH6/action/author_attestation","sign_citation":"https://pith.science/pith/UADN4JH4NUUIJECX6LTYFP4RH6/action/citation_signature","submit_replication":"https://pith.science/pith/UADN4JH4NUUIJECX6LTYFP4RH6/action/replication_record"}},"created_at":"2026-05-18T04:42:03.258179+00:00","updated_at":"2026-05-18T04:42:03.258179+00:00"}