{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:D7HLD7VWAYOXYR4UEPEVUZLQO2","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":"6aadc7fcfc2f19982859a9389b8b3490516ff4d059fe69cc183607f232e83150","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2021-01-13T08:28:15Z","title_canon_sha256":"2683ad2e44063875d2f1ea3cad97a8b98631653198f746360973b3c72a01e25e"},"schema_version":"1.0","source":{"id":"2101.04934","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.04934","created_at":"2026-07-05T04:06:41Z"},{"alias_kind":"arxiv_version","alias_value":"2101.04934v3","created_at":"2026-07-05T04:06:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.04934","created_at":"2026-07-05T04:06:41Z"},{"alias_kind":"pith_short_12","alias_value":"D7HLD7VWAYOX","created_at":"2026-07-05T04:06:41Z"},{"alias_kind":"pith_short_16","alias_value":"D7HLD7VWAYOXYR4U","created_at":"2026-07-05T04:06:41Z"},{"alias_kind":"pith_short_8","alias_value":"D7HLD7VW","created_at":"2026-07-05T04:06:41Z"}],"graph_snapshots":[{"event_id":"sha256:d02579b372fcadeb25247d1da51b2ad249a65656c40d937f00fe810e6a2fe700","target":"graph","created_at":"2026-07-05T04:06:41Z","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/2101.04934/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a two-step method specifically tailored for band structure calculation of the small-angle moir\\'{e}-pattern materials which contain tens of thousands of atoms in a unit cell. In the first step, the self-consistent field calculation for ground state is performed with $O(N)$ Krylov subspace method implemented in OpenMX. Secondly, the crystal momentum dependent Bloch Hamiltonian and overlap matrix are constructed from the results obtained in the first step and only a small number of eigenvalues near the Fermi energy are solved with shift-invert and Lanczos techniques. By systematically","authors_text":"B. Andrei Bernevig, Hongming Weng, Nicolas Regnault, Tan Zhang, Xi Dai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2021-01-13T08:28:15Z","title":"An $O(N)$ $Ab~initio$ Calculation Scheme for Large-Scale Moir\\'{e} Structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.04934","kind":"arxiv","version":3},"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":"sha256:38d6f868631d7cda7a87652ff36c94488ec63ae47816e3792888d1d4a49b71a9","target":"record","created_at":"2026-07-05T04:06:41Z","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":"6aadc7fcfc2f19982859a9389b8b3490516ff4d059fe69cc183607f232e83150","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2021-01-13T08:28:15Z","title_canon_sha256":"2683ad2e44063875d2f1ea3cad97a8b98631653198f746360973b3c72a01e25e"},"schema_version":"1.0","source":{"id":"2101.04934","kind":"arxiv","version":3}},"canonical_sha256":"1fceb1feb6061d7c479423c95a657076912e5ad4eb211d1f1fe472fd0ff434ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1fceb1feb6061d7c479423c95a657076912e5ad4eb211d1f1fe472fd0ff434ae","first_computed_at":"2026-07-05T04:06:41.099269Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:06:41.099269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8Ol6avi299T0QoSuByck12131ctU5QACsqh51gkQvGlF2/+2fTdPmhvyS2dOtas8hNal0Lyki2Bsln1Ag9nyBw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:06:41.099694Z","signed_message":"canonical_sha256_bytes"},"source_id":"2101.04934","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38d6f868631d7cda7a87652ff36c94488ec63ae47816e3792888d1d4a49b71a9","sha256:d02579b372fcadeb25247d1da51b2ad249a65656c40d937f00fe810e6a2fe700"],"state_sha256":"37100b31fe40537113e2a789d42c3b035b4c1e7e193b525eac0ce56521ae0389"}