{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:2PNXNWERXW4W53NFM6YSFQJRKY","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":"93b7d0903987ab6eddd6f738d59148fcf4f1a717a4a9117cb3a0584ec65d546d","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2005-11-12T19:04:15Z","title_canon_sha256":"a75d8e7c88e24e0ed678fde0310f2b9c042f3ef6bdec0d04ff5e0db2936a3510"},"schema_version":"1.0","source":{"id":"cond-mat/0511310","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0511310","created_at":"2026-07-04T16:54:51Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0511310v2","created_at":"2026-07-04T16:54:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0511310","created_at":"2026-07-04T16:54:51Z"},{"alias_kind":"pith_short_12","alias_value":"2PNXNWERXW4W","created_at":"2026-07-04T16:54:51Z"},{"alias_kind":"pith_short_16","alias_value":"2PNXNWERXW4W53NF","created_at":"2026-07-04T16:54:51Z"},{"alias_kind":"pith_short_8","alias_value":"2PNXNWER","created_at":"2026-07-04T16:54:51Z"}],"graph_snapshots":[{"event_id":"sha256:7eaa9a9f2ce0fd956c883e86879f1fc7ecb6564479e0087f1435ea78f5bc6ff9","target":"graph","created_at":"2026-07-04T16:54:51Z","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/cond-mat/0511310/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a gauge invariant expression for the side jump associated with scattering between particular Bloch states. Our expression for the side jump follows from the Born series expansion for the scattering T-matrix in powers of the strength of the scattering potential. Given our gauge invariant side jump expression, it is possible to construct a semiclassical Boltzmann theory of the anomalous Hall effect which expresses all previously identified contributions in terms of gauge invariant quantities and does not refer explicitly to off-diagonal terms in the density-matrix response.","authors_text":"A. H. MacDonald, N. A. Sinitsyn, Q. Niu","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2005-11-12T19:04:15Z","title":"Coordinate shift in the semiclassical Boltzmann equation and the anomalous Hall effect"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0511310","kind":"arxiv","version":2},"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":"sha256:4228f9310d98efac54404348810b835ffd5bf7bdb557d75d2d193d396834baea","target":"record","created_at":"2026-07-04T16:54:51Z","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":"93b7d0903987ab6eddd6f738d59148fcf4f1a717a4a9117cb3a0584ec65d546d","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2005-11-12T19:04:15Z","title_canon_sha256":"a75d8e7c88e24e0ed678fde0310f2b9c042f3ef6bdec0d04ff5e0db2936a3510"},"schema_version":"1.0","source":{"id":"cond-mat/0511310","kind":"arxiv","version":2}},"canonical_sha256":"d3db76d891bdb96eeda567b122c131563e3ab67b337596e3c4c2ef7ae3ea159c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d3db76d891bdb96eeda567b122c131563e3ab67b337596e3c4c2ef7ae3ea159c","first_computed_at":"2026-07-04T16:54:51.983953Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:54:51.983953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K+HSCBaMsnChN3aghza2s97gXRNpJWh2OATD033Mos6jpUCODqu6YMBhKewWn4cAsPQyXzvtrhLQdAaw9hjIAw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:54:51.984299Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0511310","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4228f9310d98efac54404348810b835ffd5bf7bdb557d75d2d193d396834baea","sha256:7eaa9a9f2ce0fd956c883e86879f1fc7ecb6564479e0087f1435ea78f5bc6ff9"],"state_sha256":"e9161f6b357e548843066a95f9b945e36c162b982dfb7201d2636a90b86cb7bc"}