{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:QF4UGLWYTDDTFK3RNGPLPXWQBC","short_pith_number":"pith:QF4UGLWY","schema_version":"1.0","canonical_sha256":"8179432ed898c732ab71699eb7ded0088d2de96a1c534e30dc8050be05e4729f","source":{"kind":"arxiv","id":"2307.04792","version":1},"attestation_state":"computed","paper":{"title":"Generalized Hall current on a finite lattice","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.str-el","hep-lat","nucl-th"],"primary_cat":"hep-th","authors_text":"Semeon Valgushev, Srimoyee Sen","submitted_at":"2023-07-10T18:00:04Z","abstract_excerpt":"Gapped fermion theories with gapless boundary fermions can exist in any number of dimensions. When the boundary has even space-time dimensions and hosts chiral fermions, a quantum Hall current flows from the bulk to the boundary in a background electric field. This current compensate for the boundary chiral anomaly. Such a current inflow picture is absent when the boundary theory is odd dimensional. However, in recent work, the idea of quantum Hall current has been generalized to describe odd dimensional boundary theories in continuous Euclidean space-time dimension of infinite volume. In this"},"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":"2307.04792","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-07-10T18:00:04Z","cross_cats_sorted":["cond-mat.str-el","hep-lat","nucl-th"],"title_canon_sha256":"e9fca70f5836403745a2250be5c8ecf0a0d8e92268c75bf39be40d89ab11d7a2","abstract_canon_sha256":"c4aa19801713e3a450590b4048a8bd39ab298a3c91b53bc78ee84f40e08839f7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:29:22.196501Z","signature_b64":"ojaOL4abrKuZuilDV6ktHlHt7r2OHrYiV0AwPbChs/jG2wv0W3MoH9M8wBYN8A488o/zlDhnvhF02JEeEKgmCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8179432ed898c732ab71699eb7ded0088d2de96a1c534e30dc8050be05e4729f","last_reissued_at":"2026-07-05T06:29:22.196079Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:29:22.196079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized Hall current on a finite lattice","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.str-el","hep-lat","nucl-th"],"primary_cat":"hep-th","authors_text":"Semeon Valgushev, Srimoyee Sen","submitted_at":"2023-07-10T18:00:04Z","abstract_excerpt":"Gapped fermion theories with gapless boundary fermions can exist in any number of dimensions. When the boundary has even space-time dimensions and hosts chiral fermions, a quantum Hall current flows from the bulk to the boundary in a background electric field. This current compensate for the boundary chiral anomaly. Such a current inflow picture is absent when the boundary theory is odd dimensional. However, in recent work, the idea of quantum Hall current has been generalized to describe odd dimensional boundary theories in continuous Euclidean space-time dimension of infinite volume. In this"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.04792","kind":"arxiv","version":1},"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/2307.04792/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":"2307.04792","created_at":"2026-07-05T06:29:22.196134+00:00"},{"alias_kind":"arxiv_version","alias_value":"2307.04792v1","created_at":"2026-07-05T06:29:22.196134+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.04792","created_at":"2026-07-05T06:29:22.196134+00:00"},{"alias_kind":"pith_short_12","alias_value":"QF4UGLWYTDDT","created_at":"2026-07-05T06:29:22.196134+00:00"},{"alias_kind":"pith_short_16","alias_value":"QF4UGLWYTDDTFK3R","created_at":"2026-07-05T06:29:22.196134+00:00"},{"alias_kind":"pith_short_8","alias_value":"QF4UGLWY","created_at":"2026-07-05T06:29:22.196134+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.04324","citing_title":"Unpaired Weyl fermion on an axion string in a finite lattice","ref_index":43,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QF4UGLWYTDDTFK3RNGPLPXWQBC","json":"https://pith.science/pith/QF4UGLWYTDDTFK3RNGPLPXWQBC.json","graph_json":"https://pith.science/api/pith-number/QF4UGLWYTDDTFK3RNGPLPXWQBC/graph.json","events_json":"https://pith.science/api/pith-number/QF4UGLWYTDDTFK3RNGPLPXWQBC/events.json","paper":"https://pith.science/paper/QF4UGLWY"},"agent_actions":{"view_html":"https://pith.science/pith/QF4UGLWYTDDTFK3RNGPLPXWQBC","download_json":"https://pith.science/pith/QF4UGLWYTDDTFK3RNGPLPXWQBC.json","view_paper":"https://pith.science/paper/QF4UGLWY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2307.04792&json=true","fetch_graph":"https://pith.science/api/pith-number/QF4UGLWYTDDTFK3RNGPLPXWQBC/graph.json","fetch_events":"https://pith.science/api/pith-number/QF4UGLWYTDDTFK3RNGPLPXWQBC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QF4UGLWYTDDTFK3RNGPLPXWQBC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QF4UGLWYTDDTFK3RNGPLPXWQBC/action/storage_attestation","attest_author":"https://pith.science/pith/QF4UGLWYTDDTFK3RNGPLPXWQBC/action/author_attestation","sign_citation":"https://pith.science/pith/QF4UGLWYTDDTFK3RNGPLPXWQBC/action/citation_signature","submit_replication":"https://pith.science/pith/QF4UGLWYTDDTFK3RNGPLPXWQBC/action/replication_record"}},"created_at":"2026-07-05T06:29:22.196134+00:00","updated_at":"2026-07-05T06:29:22.196134+00:00"}