{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:WTN7K3MJATI3TTZMZ44ZWM6KJU","short_pith_number":"pith:WTN7K3MJ","schema_version":"1.0","canonical_sha256":"b4dbf56d8904d1b9cf2ccf399b33ca4d11feef7d7025b9dfa8213fbd1a9e51ca","source":{"kind":"arxiv","id":"1707.06722","version":2},"attestation_state":"computed","paper":{"title":"Many-Body Chern Numbers of $\\nu=1/3$ and $1/2$ States on Various Lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Koji Kudo, Toshikaze Kariyado, Yasuhiro Hatsugai","submitted_at":"2017-07-20T23:48:05Z","abstract_excerpt":"For various two dimensional lattices such as honeycomb, kagome, and square-octagon, gauge conventions (string gauge) realizing minimum magnetic fluxes that are consistent with the lattice periodicity are explicitly given. Then many-body interactions of lattice fermions are projected into the Hofstadter bands to form pseudopotentials. By using these pseudopotentials, degenerate many-body ground states are numerically obtained. We further formulate a scheme to calculate the Chern number of the ground state multiplet by the pseudopotentials. For the filling factor of the lowest Landau level, $\\nu"},"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":"1707.06722","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-07-20T23:48:05Z","cross_cats_sorted":[],"title_canon_sha256":"2d53a9e3ce77d5d8353a8a939839d99bb62045fdc9a5ab0e54593c217233d0e0","abstract_canon_sha256":"48c76c610aba4abee106a1166021f3879961395a1f012acee9dd48598693c525"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:08.970774Z","signature_b64":"HUA3J6hHF7rSERzfv2y/3gDExIC745JwG1gbT6tzKWPKL61JVEtH1mLQSVx/xUcYr4Bo3h4l+0R4RKX4IAiJAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b4dbf56d8904d1b9cf2ccf399b33ca4d11feef7d7025b9dfa8213fbd1a9e51ca","last_reissued_at":"2026-05-18T00:35:08.970419Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:08.970419Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Many-Body Chern Numbers of $\\nu=1/3$ and $1/2$ States on Various Lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Koji Kudo, Toshikaze Kariyado, Yasuhiro Hatsugai","submitted_at":"2017-07-20T23:48:05Z","abstract_excerpt":"For various two dimensional lattices such as honeycomb, kagome, and square-octagon, gauge conventions (string gauge) realizing minimum magnetic fluxes that are consistent with the lattice periodicity are explicitly given. Then many-body interactions of lattice fermions are projected into the Hofstadter bands to form pseudopotentials. By using these pseudopotentials, degenerate many-body ground states are numerically obtained. We further formulate a scheme to calculate the Chern number of the ground state multiplet by the pseudopotentials. For the filling factor of the lowest Landau level, $\\nu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.06722","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":"1707.06722","created_at":"2026-05-18T00:35:08.970473+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.06722v2","created_at":"2026-05-18T00:35:08.970473+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.06722","created_at":"2026-05-18T00:35:08.970473+00:00"},{"alias_kind":"pith_short_12","alias_value":"WTN7K3MJATI3","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_16","alias_value":"WTN7K3MJATI3TTZM","created_at":"2026-05-18T12:31:53.515858+00:00"},{"alias_kind":"pith_short_8","alias_value":"WTN7K3MJ","created_at":"2026-05-18T12:31:53.515858+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/WTN7K3MJATI3TTZMZ44ZWM6KJU","json":"https://pith.science/pith/WTN7K3MJATI3TTZMZ44ZWM6KJU.json","graph_json":"https://pith.science/api/pith-number/WTN7K3MJATI3TTZMZ44ZWM6KJU/graph.json","events_json":"https://pith.science/api/pith-number/WTN7K3MJATI3TTZMZ44ZWM6KJU/events.json","paper":"https://pith.science/paper/WTN7K3MJ"},"agent_actions":{"view_html":"https://pith.science/pith/WTN7K3MJATI3TTZMZ44ZWM6KJU","download_json":"https://pith.science/pith/WTN7K3MJATI3TTZMZ44ZWM6KJU.json","view_paper":"https://pith.science/paper/WTN7K3MJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.06722&json=true","fetch_graph":"https://pith.science/api/pith-number/WTN7K3MJATI3TTZMZ44ZWM6KJU/graph.json","fetch_events":"https://pith.science/api/pith-number/WTN7K3MJATI3TTZMZ44ZWM6KJU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WTN7K3MJATI3TTZMZ44ZWM6KJU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WTN7K3MJATI3TTZMZ44ZWM6KJU/action/storage_attestation","attest_author":"https://pith.science/pith/WTN7K3MJATI3TTZMZ44ZWM6KJU/action/author_attestation","sign_citation":"https://pith.science/pith/WTN7K3MJATI3TTZMZ44ZWM6KJU/action/citation_signature","submit_replication":"https://pith.science/pith/WTN7K3MJATI3TTZMZ44ZWM6KJU/action/replication_record"}},"created_at":"2026-05-18T00:35:08.970473+00:00","updated_at":"2026-05-18T00:35:08.970473+00:00"}