{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:XXSXGKXLJJC2KJR3HUWENZQ7RO","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"fcac89dbd332bbb283836dbff963687dfbd62f039782027ee664b8d6341e4bf2","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-06-13T18:00:08Z","title_canon_sha256":"6bd940a0395d1327495d1441c043d011901247c34ab51ce4dd49983382e60765"},"schema_version":"1.0","source":{"id":"2406.09505","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.09505","created_at":"2026-07-05T09:48:33Z"},{"alias_kind":"arxiv_version","alias_value":"2406.09505v2","created_at":"2026-07-05T09:48:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.09505","created_at":"2026-07-05T09:48:33Z"},{"alias_kind":"pith_short_12","alias_value":"XXSXGKXLJJC2","created_at":"2026-07-05T09:48:33Z"},{"alias_kind":"pith_short_16","alias_value":"XXSXGKXLJJC2KJR3","created_at":"2026-07-05T09:48:33Z"},{"alias_kind":"pith_short_8","alias_value":"XXSXGKXL","created_at":"2026-07-05T09:48:33Z"}],"graph_snapshots":[{"event_id":"sha256:650393fe37769286d281c9c2628fb51cb4c1dcc36ed197266a185009c3dae7ac","target":"graph","created_at":"2026-07-05T09:48:33Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2406.09505/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Motivated by recent experiments on correlated van der Waals materials, including twisted and rhombohedral graphene and twisted WSe$_2$, we perform an analytical and numerical study of the effects of strong on-site and short-range interactions in fractionally filled ideal Chern bands. We uncover an extensive non-trivial ground state manifold within the band filling range $0 < \\nu < 1$ and introduce a general principle, the ''three-rule'', for combining flatband wave functions, which governs their zero-energy property on the torus geometry. Based on the structure of these wave functions, we deve","authors_text":"Andreas M. L\\\"auchli, Mathias S. Scheurer, Patrick H. Wilhelm","cross_cats":["cond-mat.supr-con"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-06-13T18:00:08Z","title":"A Novel Perspective on Ideal Chern Bands with Strong Short-Range Repulsion: Applications to Correlated Metals, Superconductivity, and Topological Order"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.09505","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:fcf33e5b14f047ae88efe383c66e21f3e710221a1c4d9e9bfd22970d49a96be8","target":"record","created_at":"2026-07-05T09:48:33Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"fcac89dbd332bbb283836dbff963687dfbd62f039782027ee664b8d6341e4bf2","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-06-13T18:00:08Z","title_canon_sha256":"6bd940a0395d1327495d1441c043d011901247c34ab51ce4dd49983382e60765"},"schema_version":"1.0","source":{"id":"2406.09505","kind":"arxiv","version":2}},"canonical_sha256":"bde5732aeb4a45a5263b3d2c46e61f8bb245ae8c9cbabcf6c390327305edb872","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bde5732aeb4a45a5263b3d2c46e61f8bb245ae8c9cbabcf6c390327305edb872","first_computed_at":"2026-07-05T09:48:33.502428Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:48:33.502428Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CtCX04W1/Agq0zk/uOgckF70AH3mBPZr16x+HEAsXBp2FDvqQ32GcJOnPIKna88ScYK/0Rm0tGopQzLSIg4kDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:48:33.502920Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.09505","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fcf33e5b14f047ae88efe383c66e21f3e710221a1c4d9e9bfd22970d49a96be8","sha256:650393fe37769286d281c9c2628fb51cb4c1dcc36ed197266a185009c3dae7ac"],"state_sha256":"e0626258fc6e681c1de7c8cf8b56e84897ed8db3150ebf31815347b235760f19"}