{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:OMYM7SQN6X6CLS6LLXEVKIV3ZO","short_pith_number":"pith:OMYM7SQN","schema_version":"1.0","canonical_sha256":"7330cfca0df5fc25cbcb5dc95522bbcb8a7fbd549b788dd6a5166af33ee59bbc","source":{"kind":"arxiv","id":"2407.00156","version":1},"attestation_state":"computed","paper":{"title":"Electrical Transport in the Hatsugai-Kohmoto Model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.str-el","authors_text":"Andrew J. Millis, Daniele Guerci, Giorgio Sangiovanni, Michele Fabrizio","submitted_at":"2024-06-28T18:00:04Z","abstract_excerpt":"We show that in models with the Hatsugai-Kohmoto type of interaction that is local in momentum space thus infinite-range in real space, Kubo formulas neither reproduce the correct thermodynamic susceptibilities, nor yield sensible transport coefficients. Using Kohn's trick to differentiate between metals and insulators by threading a flux in a torus geometry, we uncover the striking property that Hatsugai-Kohmoto models with an interaction-induced gap in the spectrum sustain a current that grows as the linear size at any non-zero flux and which can be either diamagnetic or paramagnetic."},"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":"2407.00156","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-06-28T18:00:04Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"680f960c7a0888227da2f0c1ed55d03426cd4f40d6bf17d82ff1ba614bea8b13","abstract_canon_sha256":"c64a7037fd340d5b58a855229e21f13d0bf512bfd96e8a2dbb77782a51e17043"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:38:40.034420Z","signature_b64":"ABs9trIa2dr/bCDXGptuUjPR9Dp08gG4+kq+u/J3RQu69k8U3mFBCvzNB7VBvIOT2KbNhx2HZHvIdJhEMKq0CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7330cfca0df5fc25cbcb5dc95522bbcb8a7fbd549b788dd6a5166af33ee59bbc","last_reissued_at":"2026-07-05T08:38:40.033957Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:38:40.033957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Electrical Transport in the Hatsugai-Kohmoto Model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.str-el","authors_text":"Andrew J. Millis, Daniele Guerci, Giorgio Sangiovanni, Michele Fabrizio","submitted_at":"2024-06-28T18:00:04Z","abstract_excerpt":"We show that in models with the Hatsugai-Kohmoto type of interaction that is local in momentum space thus infinite-range in real space, Kubo formulas neither reproduce the correct thermodynamic susceptibilities, nor yield sensible transport coefficients. Using Kohn's trick to differentiate between metals and insulators by threading a flux in a torus geometry, we uncover the striking property that Hatsugai-Kohmoto models with an interaction-induced gap in the spectrum sustain a current that grows as the linear size at any non-zero flux and which can be either diamagnetic or paramagnetic."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.00156","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/2407.00156/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":"2407.00156","created_at":"2026-07-05T08:38:40.034014+00:00"},{"alias_kind":"arxiv_version","alias_value":"2407.00156v1","created_at":"2026-07-05T08:38:40.034014+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.00156","created_at":"2026-07-05T08:38:40.034014+00:00"},{"alias_kind":"pith_short_12","alias_value":"OMYM7SQN6X6C","created_at":"2026-07-05T08:38:40.034014+00:00"},{"alias_kind":"pith_short_16","alias_value":"OMYM7SQN6X6CLS6L","created_at":"2026-07-05T08:38:40.034014+00:00"},{"alias_kind":"pith_short_8","alias_value":"OMYM7SQN","created_at":"2026-07-05T08:38:40.034014+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.06588","citing_title":"Decomposing momentum scales in the Hubbard Model: From Hatsugai-Kohmoto to Aubry-Andr\\'e","ref_index":33,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OMYM7SQN6X6CLS6LLXEVKIV3ZO","json":"https://pith.science/pith/OMYM7SQN6X6CLS6LLXEVKIV3ZO.json","graph_json":"https://pith.science/api/pith-number/OMYM7SQN6X6CLS6LLXEVKIV3ZO/graph.json","events_json":"https://pith.science/api/pith-number/OMYM7SQN6X6CLS6LLXEVKIV3ZO/events.json","paper":"https://pith.science/paper/OMYM7SQN"},"agent_actions":{"view_html":"https://pith.science/pith/OMYM7SQN6X6CLS6LLXEVKIV3ZO","download_json":"https://pith.science/pith/OMYM7SQN6X6CLS6LLXEVKIV3ZO.json","view_paper":"https://pith.science/paper/OMYM7SQN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2407.00156&json=true","fetch_graph":"https://pith.science/api/pith-number/OMYM7SQN6X6CLS6LLXEVKIV3ZO/graph.json","fetch_events":"https://pith.science/api/pith-number/OMYM7SQN6X6CLS6LLXEVKIV3ZO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OMYM7SQN6X6CLS6LLXEVKIV3ZO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OMYM7SQN6X6CLS6LLXEVKIV3ZO/action/storage_attestation","attest_author":"https://pith.science/pith/OMYM7SQN6X6CLS6LLXEVKIV3ZO/action/author_attestation","sign_citation":"https://pith.science/pith/OMYM7SQN6X6CLS6LLXEVKIV3ZO/action/citation_signature","submit_replication":"https://pith.science/pith/OMYM7SQN6X6CLS6LLXEVKIV3ZO/action/replication_record"}},"created_at":"2026-07-05T08:38:40.034014+00:00","updated_at":"2026-07-05T08:38:40.034014+00:00"}