{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:3AR3JKSQ2XMLAFYVPM3ERAS7BJ","short_pith_number":"pith:3AR3JKSQ","schema_version":"1.0","canonical_sha256":"d823b4aa50d5d8b017157b3648825f0a48a727d50723a1f9405442b46457a5f1","source":{"kind":"arxiv","id":"1112.1938","version":1},"attestation_state":"computed","paper":{"title":"Wannier-based calculation of the orbital magnetization in crystals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"David Vanderbilt, Ivo Souza, M. G. Lopez, T. Thonhauser","submitted_at":"2011-12-08T20:29:08Z","abstract_excerpt":"We present a first-principles scheme that allows the orbital magnetization of a magnetic crystal to be evaluated accurately and efficiently even in the presence of complex Fermi surfaces. Starting from an initial electronic-structure calculation with a coarse ab initio k-point mesh, maximally localized Wannier functions are constructed and used to interpolate the necessary k-space quantities on a fine mesh, in parallel to a previously-developed formalism for the anomalous Hall conductivity [X.Wang, J. Yates, I. Souza, and D. Vanderbilt, Phys. Rev. B 74, 195118 (2006)]. We formulate our new app"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1112.1938","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-12-08T20:29:08Z","cross_cats_sorted":[],"title_canon_sha256":"27e361bd3b34d92750423cf3c8870d883cb72791190d95159edf62544ad29207","abstract_canon_sha256":"e71448c57b81747a2e98f0f5ecbf60f24bb5e3592d50479bec4d923e4257d492"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:03:18.966523Z","signature_b64":"j5j6jc2+uj76gvem0mwpsAAaQOLRCxHB+qQvqS7HTs4DDo2+yK2OrXIFC7NMrELgJMSOkvD5x3ePXwS+GuOQDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d823b4aa50d5d8b017157b3648825f0a48a727d50723a1f9405442b46457a5f1","last_reissued_at":"2026-05-18T04:03:18.965822Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:03:18.965822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Wannier-based calculation of the orbital magnetization in crystals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"David Vanderbilt, Ivo Souza, M. G. Lopez, T. Thonhauser","submitted_at":"2011-12-08T20:29:08Z","abstract_excerpt":"We present a first-principles scheme that allows the orbital magnetization of a magnetic crystal to be evaluated accurately and efficiently even in the presence of complex Fermi surfaces. Starting from an initial electronic-structure calculation with a coarse ab initio k-point mesh, maximally localized Wannier functions are constructed and used to interpolate the necessary k-space quantities on a fine mesh, in parallel to a previously-developed formalism for the anomalous Hall conductivity [X.Wang, J. Yates, I. Souza, and D. Vanderbilt, Phys. Rev. B 74, 195118 (2006)]. We formulate our new app"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1938","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1112.1938","created_at":"2026-05-18T04:03:18.965965+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.1938v1","created_at":"2026-05-18T04:03:18.965965+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1938","created_at":"2026-05-18T04:03:18.965965+00:00"},{"alias_kind":"pith_short_12","alias_value":"3AR3JKSQ2XML","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_16","alias_value":"3AR3JKSQ2XMLAFYV","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_8","alias_value":"3AR3JKSQ","created_at":"2026-05-18T12:26:18.847500+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3AR3JKSQ2XMLAFYVPM3ERAS7BJ","json":"https://pith.science/pith/3AR3JKSQ2XMLAFYVPM3ERAS7BJ.json","graph_json":"https://pith.science/api/pith-number/3AR3JKSQ2XMLAFYVPM3ERAS7BJ/graph.json","events_json":"https://pith.science/api/pith-number/3AR3JKSQ2XMLAFYVPM3ERAS7BJ/events.json","paper":"https://pith.science/paper/3AR3JKSQ"},"agent_actions":{"view_html":"https://pith.science/pith/3AR3JKSQ2XMLAFYVPM3ERAS7BJ","download_json":"https://pith.science/pith/3AR3JKSQ2XMLAFYVPM3ERAS7BJ.json","view_paper":"https://pith.science/paper/3AR3JKSQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.1938&json=true","fetch_graph":"https://pith.science/api/pith-number/3AR3JKSQ2XMLAFYVPM3ERAS7BJ/graph.json","fetch_events":"https://pith.science/api/pith-number/3AR3JKSQ2XMLAFYVPM3ERAS7BJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3AR3JKSQ2XMLAFYVPM3ERAS7BJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3AR3JKSQ2XMLAFYVPM3ERAS7BJ/action/storage_attestation","attest_author":"https://pith.science/pith/3AR3JKSQ2XMLAFYVPM3ERAS7BJ/action/author_attestation","sign_citation":"https://pith.science/pith/3AR3JKSQ2XMLAFYVPM3ERAS7BJ/action/citation_signature","submit_replication":"https://pith.science/pith/3AR3JKSQ2XMLAFYVPM3ERAS7BJ/action/replication_record"}},"created_at":"2026-05-18T04:03:18.965965+00:00","updated_at":"2026-05-18T04:03:18.965965+00:00"}