{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:CT7FLDN27UTO3H5COHU4LBZQJ7","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":"00734cb933fa219b2f29ea2d5d2a0dda570a770485c78e30b80ef24b009df318","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-06-03T22:38:57Z","title_canon_sha256":"923e829cda27e1481ffea89caffdd3f22b075b4051827c2be180b144cb44a6ae"},"schema_version":"1.0","source":{"id":"2606.05496","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.05496","created_at":"2026-06-05T01:14:52Z"},{"alias_kind":"arxiv_version","alias_value":"2606.05496v1","created_at":"2026-06-05T01:14:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.05496","created_at":"2026-06-05T01:14:52Z"},{"alias_kind":"pith_short_12","alias_value":"CT7FLDN27UTO","created_at":"2026-06-05T01:14:52Z"},{"alias_kind":"pith_short_16","alias_value":"CT7FLDN27UTO3H5C","created_at":"2026-06-05T01:14:52Z"},{"alias_kind":"pith_short_8","alias_value":"CT7FLDN2","created_at":"2026-06-05T01:14:52Z"}],"graph_snapshots":[{"event_id":"sha256:ece2b5810f5f9aaf5538e640b2628956a62462910450f7be9244f3579b007dfd","target":"graph","created_at":"2026-06-05T01:14:52Z","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/2606.05496/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantum geometry plays a fundamental role in many aspects of condensed matter physics. Among its central objects are the Berry curvature and the quantum metric -- quantities that, while distinct, are intertwined through geometric constraints. In this article, we survey recent progress in understanding when and how this bound is saturated, with particular emphasis on the emergence of momentum-space holomorphicity of Bloch states. These developments highlight a profound connection between certain ideal Bloch bands and the Hilbert space structure of the lowest Landau level. We elucidate this rela","authors_text":"Jennifer Cano, Jie Wang","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-06-03T22:38:57Z","title":"Ideal Quantum Geometry for Fractional Chern Insulators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.05496","kind":"arxiv","version":1},"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":"sha256:346d4e77ff45ee8a2653409026fc5795fb7f751f55f2d11640da01f61943c639","target":"record","created_at":"2026-06-05T01:14:52Z","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":"00734cb933fa219b2f29ea2d5d2a0dda570a770485c78e30b80ef24b009df318","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-06-03T22:38:57Z","title_canon_sha256":"923e829cda27e1481ffea89caffdd3f22b075b4051827c2be180b144cb44a6ae"},"schema_version":"1.0","source":{"id":"2606.05496","kind":"arxiv","version":1}},"canonical_sha256":"14fe558dbafd26ed9fa271e9c587304ff1aa94baaf6ad44cd26eed626ec6f35a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"14fe558dbafd26ed9fa271e9c587304ff1aa94baaf6ad44cd26eed626ec6f35a","first_computed_at":"2026-06-05T01:14:52.930832Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-05T01:14:52.930832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vfixp50I5JkH2j6bF5fpbdG5NqZ9HFRp1aLWbavx2Cq+1VwSJ8dbWZS5gX+nBeAo/qIVANYkYW/pO/yN9R/sAg==","signature_status":"signed_v1","signed_at":"2026-06-05T01:14:52.931395Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.05496","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:346d4e77ff45ee8a2653409026fc5795fb7f751f55f2d11640da01f61943c639","sha256:ece2b5810f5f9aaf5538e640b2628956a62462910450f7be9244f3579b007dfd"],"state_sha256":"1797e59376bff75378d6d0d123529aa104f1edaf8cf1f74a8014db8fff7d1d6c"}