{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:5ONYVMRTTU44PZNGE4D3MIXW3K","short_pith_number":"pith:5ONYVMRT","schema_version":"1.0","canonical_sha256":"eb9b8ab2339d39c7e5a62707b622f6da8aa7cd8c2e5d7c9c736f19e1c513937b","source":{"kind":"arxiv","id":"2410.07943","version":3},"attestation_state":"computed","paper":{"title":"Current density distribution for the quantum Hall effect","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Serkan Sirt, Stefan Ludwig","submitted_at":"2024-10-10T14:09:21Z","abstract_excerpt":"Our microscopic understanding of the integer quantum Hall effect is still incomplete. For decades, there has been a controversial discussion about \"where the current flows\" if the Hall resistance is quantized. Here, we qualitatively analyze the current density distribution in a Hall bar based on the screening properties of a two-dimensional electron system in the quantum Hall regime. Beyond previous publications, we include a closed loop persistent current that exists inside a Hall bar if the Hall resistance is quantized. We find, that the persistent current density decreases with increasing H"},"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":"2410.07943","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2024-10-10T14:09:21Z","cross_cats_sorted":[],"title_canon_sha256":"6ef0b0896e5bbca0f2dbe0eeffd417f42b4ce1d6d3be972669886ec9c3a01b3f","abstract_canon_sha256":"6ce71a80f4acd49b698c0553c503f281a86d8db90ef5be82f41a084833ef3cf6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:00:16.522521Z","signature_b64":"ZmLcHor2ZCqGVBLA2fktTYQjX3UsEBcCtsgEbC4pFZGLikSx/DXCmQ1Zmx5EK/L9sBXL9cbqdVbQI4Yid2T5Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb9b8ab2339d39c7e5a62707b622f6da8aa7cd8c2e5d7c9c736f19e1c513937b","last_reissued_at":"2026-05-20T00:00:16.521820Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:00:16.521820Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Current density distribution for the quantum Hall effect","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Serkan Sirt, Stefan Ludwig","submitted_at":"2024-10-10T14:09:21Z","abstract_excerpt":"Our microscopic understanding of the integer quantum Hall effect is still incomplete. For decades, there has been a controversial discussion about \"where the current flows\" if the Hall resistance is quantized. Here, we qualitatively analyze the current density distribution in a Hall bar based on the screening properties of a two-dimensional electron system in the quantum Hall regime. Beyond previous publications, we include a closed loop persistent current that exists inside a Hall bar if the Hall resistance is quantized. We find, that the persistent current density decreases with increasing H"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.07943","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2410.07943/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2410.07943","created_at":"2026-05-20T00:00:16.521914+00:00"},{"alias_kind":"arxiv_version","alias_value":"2410.07943v3","created_at":"2026-05-20T00:00:16.521914+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.07943","created_at":"2026-05-20T00:00:16.521914+00:00"},{"alias_kind":"pith_short_12","alias_value":"5ONYVMRTTU44","created_at":"2026-05-20T00:00:16.521914+00:00"},{"alias_kind":"pith_short_16","alias_value":"5ONYVMRTTU44PZNG","created_at":"2026-05-20T00:00:16.521914+00:00"},{"alias_kind":"pith_short_8","alias_value":"5ONYVMRT","created_at":"2026-05-20T00:00:16.521914+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/5ONYVMRTTU44PZNGE4D3MIXW3K","json":"https://pith.science/pith/5ONYVMRTTU44PZNGE4D3MIXW3K.json","graph_json":"https://pith.science/api/pith-number/5ONYVMRTTU44PZNGE4D3MIXW3K/graph.json","events_json":"https://pith.science/api/pith-number/5ONYVMRTTU44PZNGE4D3MIXW3K/events.json","paper":"https://pith.science/paper/5ONYVMRT"},"agent_actions":{"view_html":"https://pith.science/pith/5ONYVMRTTU44PZNGE4D3MIXW3K","download_json":"https://pith.science/pith/5ONYVMRTTU44PZNGE4D3MIXW3K.json","view_paper":"https://pith.science/paper/5ONYVMRT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2410.07943&json=true","fetch_graph":"https://pith.science/api/pith-number/5ONYVMRTTU44PZNGE4D3MIXW3K/graph.json","fetch_events":"https://pith.science/api/pith-number/5ONYVMRTTU44PZNGE4D3MIXW3K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5ONYVMRTTU44PZNGE4D3MIXW3K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5ONYVMRTTU44PZNGE4D3MIXW3K/action/storage_attestation","attest_author":"https://pith.science/pith/5ONYVMRTTU44PZNGE4D3MIXW3K/action/author_attestation","sign_citation":"https://pith.science/pith/5ONYVMRTTU44PZNGE4D3MIXW3K/action/citation_signature","submit_replication":"https://pith.science/pith/5ONYVMRTTU44PZNGE4D3MIXW3K/action/replication_record"}},"created_at":"2026-05-20T00:00:16.521914+00:00","updated_at":"2026-05-20T00:00:16.521914+00:00"}