{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:3AR3JKSQ2XMLAFYVPM3ERAS7BJ","short_pith_number":"pith:3AR3JKSQ","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"},"canonical_sha256":"d823b4aa50d5d8b017157b3648825f0a48a727d50723a1f9405442b46457a5f1","source":{"kind":"arxiv","id":"1112.1938","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1938","created_at":"2026-05-18T04:03:18Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1938v1","created_at":"2026-05-18T04:03:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1938","created_at":"2026-05-18T04:03:18Z"},{"alias_kind":"pith_short_12","alias_value":"3AR3JKSQ2XML","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"3AR3JKSQ2XMLAFYV","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"3AR3JKSQ","created_at":"2026-05-18T12:26:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:3AR3JKSQ2XMLAFYVPM3ERAS7BJ","target":"record","payload":{"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"},"canonical_sha256":"d823b4aa50d5d8b017157b3648825f0a48a727d50723a1f9405442b46457a5f1","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"},"source_kind":"arxiv","source_id":"1112.1938","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:03:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r/NSSdgCSa8ezneyS9RCSKUIkwzUsqAXfqzDOeQIQ3B+6F+/zTdx34kqS5IpsURJvd1h/G9rlg+hMIJe39cWBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T04:09:40.493197Z"},"content_sha256":"c535bafee413fd10fd1420e8185d965ad5e74857f419ab20325a1fa2c22bb678","schema_version":"1.0","event_id":"sha256:c535bafee413fd10fd1420e8185d965ad5e74857f419ab20325a1fa2c22bb678"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:3AR3JKSQ2XMLAFYVPM3ERAS7BJ","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:03:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JmCky8IKuu45lc7tcAKxRxFxXwgXFQEGkSrdwxwtZb+2gybmMI4wAcM0VrHIGp+N7bmHICP6Eq2MrtVeLehrBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T04:09:40.493562Z"},"content_sha256":"63024df9d6392783cd8fe77652b4299956c93419d650e195531902fc05e94179","schema_version":"1.0","event_id":"sha256:63024df9d6392783cd8fe77652b4299956c93419d650e195531902fc05e94179"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3AR3JKSQ2XMLAFYVPM3ERAS7BJ/bundle.json","state_url":"https://pith.science/pith/3AR3JKSQ2XMLAFYVPM3ERAS7BJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3AR3JKSQ2XMLAFYVPM3ERAS7BJ/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":"2026-06-01T04:09:40Z","links":{"resolver":"https://pith.science/pith/3AR3JKSQ2XMLAFYVPM3ERAS7BJ","bundle":"https://pith.science/pith/3AR3JKSQ2XMLAFYVPM3ERAS7BJ/bundle.json","state":"https://pith.science/pith/3AR3JKSQ2XMLAFYVPM3ERAS7BJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3AR3JKSQ2XMLAFYVPM3ERAS7BJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:3AR3JKSQ2XMLAFYVPM3ERAS7BJ","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":"e71448c57b81747a2e98f0f5ecbf60f24bb5e3592d50479bec4d923e4257d492","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-12-08T20:29:08Z","title_canon_sha256":"27e361bd3b34d92750423cf3c8870d883cb72791190d95159edf62544ad29207"},"schema_version":"1.0","source":{"id":"1112.1938","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.1938","created_at":"2026-05-18T04:03:18Z"},{"alias_kind":"arxiv_version","alias_value":"1112.1938v1","created_at":"2026-05-18T04:03:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.1938","created_at":"2026-05-18T04:03:18Z"},{"alias_kind":"pith_short_12","alias_value":"3AR3JKSQ2XML","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"3AR3JKSQ2XMLAFYV","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"3AR3JKSQ","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:63024df9d6392783cd8fe77652b4299956c93419d650e195531902fc05e94179","target":"graph","created_at":"2026-05-18T04:03:18Z","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"},"paper":{"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","authors_text":"David Vanderbilt, Ivo Souza, M. G. Lopez, T. Thonhauser","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-12-08T20:29:08Z","title":"Wannier-based calculation of the orbital magnetization in crystals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1938","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:c535bafee413fd10fd1420e8185d965ad5e74857f419ab20325a1fa2c22bb678","target":"record","created_at":"2026-05-18T04:03:18Z","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":"e71448c57b81747a2e98f0f5ecbf60f24bb5e3592d50479bec4d923e4257d492","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2011-12-08T20:29:08Z","title_canon_sha256":"27e361bd3b34d92750423cf3c8870d883cb72791190d95159edf62544ad29207"},"schema_version":"1.0","source":{"id":"1112.1938","kind":"arxiv","version":1}},"canonical_sha256":"d823b4aa50d5d8b017157b3648825f0a48a727d50723a1f9405442b46457a5f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d823b4aa50d5d8b017157b3648825f0a48a727d50723a1f9405442b46457a5f1","first_computed_at":"2026-05-18T04:03:18.965822Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:03:18.965822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j5j6jc2+uj76gvem0mwpsAAaQOLRCxHB+qQvqS7HTs4DDo2+yK2OrXIFC7NMrELgJMSOkvD5x3ePXwS+GuOQDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:03:18.966523Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.1938","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c535bafee413fd10fd1420e8185d965ad5e74857f419ab20325a1fa2c22bb678","sha256:63024df9d6392783cd8fe77652b4299956c93419d650e195531902fc05e94179"],"state_sha256":"bb1f3378c2249fdb699e616c080d911ea980c78445d91c31bd4e31c8aa0bbd23"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o5fgYeAT91m2rdCnSdVH1iVukXnCcUf6D4CQiFz/4Yt06NzqLRxJOjWWKRm4auRPlZK2TwAvRK8MFi8d5lNbCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T04:09:40.495865Z","bundle_sha256":"0d5d98ac143a43355ad3e5687368ee37f98461fb1a8b4ad60b32482995fe6af2"}}