{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:5HOGAFFGZBWQDYE64E35GCGXQ3","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":"78f5b8280d3aa8e916c6ab6470075ccdb028974acf6cecda541b4f05aebac4f3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2026-06-27T08:26:21Z","title_canon_sha256":"d78932aba514809a2076dde267718670ded9f4eb90515ee9f1a85fba5f2fab52"},"schema_version":"1.0","source":{"id":"2606.28809","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.28809","created_at":"2026-06-30T01:16:52Z"},{"alias_kind":"arxiv_version","alias_value":"2606.28809v1","created_at":"2026-06-30T01:16:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.28809","created_at":"2026-06-30T01:16:52Z"},{"alias_kind":"pith_short_12","alias_value":"5HOGAFFGZBWQ","created_at":"2026-06-30T01:16:52Z"},{"alias_kind":"pith_short_16","alias_value":"5HOGAFFGZBWQDYE6","created_at":"2026-06-30T01:16:52Z"},{"alias_kind":"pith_short_8","alias_value":"5HOGAFFG","created_at":"2026-06-30T01:16:52Z"}],"graph_snapshots":[{"event_id":"sha256:4dab7178ec6386de8a7837fbe4956cb41bac97110c3e0232e6d6c358e7aa1c05","target":"graph","created_at":"2026-06-30T01:16:52Z","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/2606.28809/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a quantum kinetic theory for Bloch electrons driven by a uniform dc electric field, extending the nonequilibrium density-matrix formalism beyond the non-crossing approximation. This extension is required to capture steady-state terms that are nominally zeroth order in disorder strength and compete with intrinsic band-geometric responses, as in anomalous Hall and related spin, orbital, and valley transport. Working in the length gauge with Gaussian white-noise disorder, we include impurity scattering to fourth order in the disorder potential. An iterative solution for the impurity-in","authors_text":"Dimitrie Culcer, James H. Cullen, Roberto Raimondi, Zhanning Wang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2026-06-27T08:26:21Z","title":"Inter-band coherence effects in disordered crystals: beyond the non-crossing approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.28809","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":"sha256:2613743a4a9facfe2b3434a68f7117ee0f9a2ef775be249f8ba7b087bfe0a3a9","target":"record","created_at":"2026-06-30T01:16:52Z","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":"78f5b8280d3aa8e916c6ab6470075ccdb028974acf6cecda541b4f05aebac4f3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2026-06-27T08:26:21Z","title_canon_sha256":"d78932aba514809a2076dde267718670ded9f4eb90515ee9f1a85fba5f2fab52"},"schema_version":"1.0","source":{"id":"2606.28809","kind":"arxiv","version":1}},"canonical_sha256":"e9dc6014a6c86d01e09ee137d308d786c6b80af4902fa0a54a2d6233e19e9fdd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e9dc6014a6c86d01e09ee137d308d786c6b80af4902fa0a54a2d6233e19e9fdd","first_computed_at":"2026-06-30T01:16:52.888469Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T01:16:52.888469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dvTxlH/0aF3dm3hlxD3lpWQV4ZQTPCTacPA/j/Qi4GvaVtacUC8iMTugLMA9WSe+ckeZRaHuWcgbieID3u2xDw==","signature_status":"signed_v1","signed_at":"2026-06-30T01:16:52.889025Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.28809","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2613743a4a9facfe2b3434a68f7117ee0f9a2ef775be249f8ba7b087bfe0a3a9","sha256:4dab7178ec6386de8a7837fbe4956cb41bac97110c3e0232e6d6c358e7aa1c05"],"state_sha256":"21172ce72f02436d88a66938de37ccc94ebce5c8d9ca25f126e6c31551772c3c"}