{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:D7HLD7VWAYOXYR4UEPEVUZLQO2","short_pith_number":"pith:D7HLD7VW","canonical_record":{"source":{"id":"2101.04934","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2021-01-13T08:28:15Z","cross_cats_sorted":[],"title_canon_sha256":"2683ad2e44063875d2f1ea3cad97a8b98631653198f746360973b3c72a01e25e","abstract_canon_sha256":"6aadc7fcfc2f19982859a9389b8b3490516ff4d059fe69cc183607f232e83150"},"schema_version":"1.0"},"canonical_sha256":"1fceb1feb6061d7c479423c95a657076912e5ad4eb211d1f1fe472fd0ff434ae","source":{"kind":"arxiv","id":"2101.04934","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:D7HLD7VWAYOXYR4UEPEVUZLQO2","target":"record","payload":{"canonical_record":{"source":{"id":"2101.04934","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2021-01-13T08:28:15Z","cross_cats_sorted":[],"title_canon_sha256":"2683ad2e44063875d2f1ea3cad97a8b98631653198f746360973b3c72a01e25e","abstract_canon_sha256":"6aadc7fcfc2f19982859a9389b8b3490516ff4d059fe69cc183607f232e83150"},"schema_version":"1.0"},"canonical_sha256":"1fceb1feb6061d7c479423c95a657076912e5ad4eb211d1f1fe472fd0ff434ae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:06:41.099694Z","signature_b64":"8Ol6avi299T0QoSuByck12131ctU5QACsqh51gkQvGlF2/+2fTdPmhvyS2dOtas8hNal0Lyki2Bsln1Ag9nyBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1fceb1feb6061d7c479423c95a657076912e5ad4eb211d1f1fe472fd0ff434ae","last_reissued_at":"2026-07-05T04:06:41.099269Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:06:41.099269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2101.04934","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:06:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"00XQHI4Yghq4+/OLb+MsxvLwA1vBmjdBqxB1ywJ6513TkHo1wqqAwUIa13ChusD/WpAj4U5wJ2UBW0SNDk9BCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T14:08:08.005816Z"},"content_sha256":"38d6f868631d7cda7a87652ff36c94488ec63ae47816e3792888d1d4a49b71a9","schema_version":"1.0","event_id":"sha256:38d6f868631d7cda7a87652ff36c94488ec63ae47816e3792888d1d4a49b71a9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:D7HLD7VWAYOXYR4UEPEVUZLQO2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An $O(N)$ $Ab~initio$ Calculation Scheme for Large-Scale Moir\\'{e} Structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"B. Andrei Bernevig, Hongming Weng, Nicolas Regnault, Tan Zhang, Xi Dai","submitted_at":"2021-01-13T08:28:15Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.04934","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2101.04934/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:06:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PjiGdckEHMAo+r/wWzfkRkq6fJPOun/Xl9HtZcq2B/RaQkrpLZY4rk3x47eWFbOebH18pZGI7KhoD8fkvh2tCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T14:08:08.006240Z"},"content_sha256":"d02579b372fcadeb25247d1da51b2ad249a65656c40d937f00fe810e6a2fe700","schema_version":"1.0","event_id":"sha256:d02579b372fcadeb25247d1da51b2ad249a65656c40d937f00fe810e6a2fe700"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D7HLD7VWAYOXYR4UEPEVUZLQO2/bundle.json","state_url":"https://pith.science/pith/D7HLD7VWAYOXYR4UEPEVUZLQO2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D7HLD7VWAYOXYR4UEPEVUZLQO2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-05T14:08:08Z","links":{"resolver":"https://pith.science/pith/D7HLD7VWAYOXYR4UEPEVUZLQO2","bundle":"https://pith.science/pith/D7HLD7VWAYOXYR4UEPEVUZLQO2/bundle.json","state":"https://pith.science/pith/D7HLD7VWAYOXYR4UEPEVUZLQO2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D7HLD7VWAYOXYR4UEPEVUZLQO2/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pi5i05Kv3vRNGVqFIxUSNlj+7nM7ewWNt6hIZn1KgDsP5El7DsmA+z1ZxtbSZ3rUz8xxb746lKyR4aelKrnFCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T14:08:08.009065Z","bundle_sha256":"f962b75c7141b906c1152fa7c64755254734131dbb820fb1c8c52b37026e5b9d"}}