{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:AF6JXZNRRVGYR6WND3M4GT7FS7","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":"5a311d54d5c591a324c78adc534c62bde1a9910a704048ba5ad04ca757181f0a","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2026-07-22T18:00:05Z","title_canon_sha256":"65f478509409034df0b3e96e78155e08bc016cfc656be1db2f80ebaed0b64997"},"schema_version":"1.0","source":{"id":"2607.20624","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.20624","created_at":"2026-07-24T00:23:26Z"},{"alias_kind":"arxiv_version","alias_value":"2607.20624v1","created_at":"2026-07-24T00:23:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.20624","created_at":"2026-07-24T00:23:26Z"},{"alias_kind":"pith_short_12","alias_value":"AF6JXZNRRVGY","created_at":"2026-07-24T00:23:26Z"},{"alias_kind":"pith_short_16","alias_value":"AF6JXZNRRVGYR6WN","created_at":"2026-07-24T00:23:26Z"},{"alias_kind":"pith_short_8","alias_value":"AF6JXZNR","created_at":"2026-07-24T00:23:26Z"}],"graph_snapshots":[{"event_id":"sha256:9dacb792906419b937ef5de616e427d68643a02bff10786424bfb59ca6614658","target":"graph","created_at":"2026-07-24T00:23:26Z","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/2607.20624/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A band is called ideal when its Dirichlet functional saturates the topological lower bound. We study ideal bands in finite-band tight-binding models with conventional two-dimensional lattice translation symmetries, allowing the bands to have non-flat dispersion. We first provide an analytic construction of isolated Chern-ideal bands with Chern number $|\\mathrm{Ch}|=1$ in finite-band models with exponentially decaying hopping. This construction applies only when at least two orbitals have different embedded positions (modulo lattice vectors), complementing the previously known construction for ","authors_text":"Jiabin Yu, Lexu Zhao, Shinsei Ryu, Yang Ge","cross_cats":["cond-mat.mtrl-sci","cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2026-07-22T18:00:05Z","title":"Ideal Bands in Tight-Binding Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.20624","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":"sha256:45c59884a0303984c1cdd8e6660b0e9352e22cc1816f69e0520012d492e4140a","target":"record","created_at":"2026-07-24T00:23:26Z","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":"5a311d54d5c591a324c78adc534c62bde1a9910a704048ba5ad04ca757181f0a","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2026-07-22T18:00:05Z","title_canon_sha256":"65f478509409034df0b3e96e78155e08bc016cfc656be1db2f80ebaed0b64997"},"schema_version":"1.0","source":{"id":"2607.20624","kind":"arxiv","version":1}},"canonical_sha256":"017c9be5b18d4d88facd1ed9c34fe597dd30e6832598a799bd0f37626d8dddde","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"017c9be5b18d4d88facd1ed9c34fe597dd30e6832598a799bd0f37626d8dddde","first_computed_at":"2026-07-24T00:23:26.168298Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-24T00:23:26.168298Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cRKqNqtjPpQ/jFcAWF+Urbd5/d1vb5zhLgVOnTmfXSEDg9xKDAtuC1w8eGE4CSm/eoW2SVXRNlq+V1RzD7OwAQ==","signature_status":"signed_v1","signed_at":"2026-07-24T00:23:26.169199Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.20624","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:45c59884a0303984c1cdd8e6660b0e9352e22cc1816f69e0520012d492e4140a","sha256:9dacb792906419b937ef5de616e427d68643a02bff10786424bfb59ca6614658"],"state_sha256":"a774e643c5ffa1bcbd10a33012ff1a7ec067120dd4ffabfc2f26d44b0ffc051c"}