{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:U5GCDD2BK4KFDKGIV72ELVV42U","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":"0dbcb0c9f838d0d035745d983102603d4a590f56e102d314a1e569f89e61d546","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-03-16T12:56:36Z","title_canon_sha256":"decc936527d8be1fd20c9efc8d5109e57b58af959ed345bccc514c9923e58ee9"},"schema_version":"1.0","source":{"id":"1803.08891","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.08891","created_at":"2026-05-17T23:59:09Z"},{"alias_kind":"arxiv_version","alias_value":"1803.08891v1","created_at":"2026-05-17T23:59:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.08891","created_at":"2026-05-17T23:59:09Z"},{"alias_kind":"pith_short_12","alias_value":"U5GCDD2BK4KF","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"U5GCDD2BK4KFDKGI","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"U5GCDD2B","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:d718ba18543a3768674fc0cc211600edf385d1301b5affac8f7431ed6a64eafe","target":"graph","created_at":"2026-05-17T23:59:09Z","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":"The Kirchhoff-Helmholtz principle of least heat dissipation is applied in order to derive the stationary state of the spin-Hall effect. Spin-accumulation due to spin-orbit interaction, spin-flip relaxation, and electrostatic interaction due to charge accumulation are treated on an equal footing. A nonlinear differential equation is derived, that describes both surface and bulk currents and spin-dependent chemical potentials. It is shown that if the ratio of the spin-flip relaxation length over the Debye-Fermi length is small, the stationary state is defined by a linear spin-accumulation potent","authors_text":"Jean-Eric Wegrowe, Pierre-Michel Dejardin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-03-16T12:56:36Z","title":"Variational approach to the stationary spin-Hall effect"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.08891","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:e0337c296457277fb1ba88dd047a723d014a0eb528b2bff814882e36da39a1b4","target":"record","created_at":"2026-05-17T23:59:09Z","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":"0dbcb0c9f838d0d035745d983102603d4a590f56e102d314a1e569f89e61d546","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-03-16T12:56:36Z","title_canon_sha256":"decc936527d8be1fd20c9efc8d5109e57b58af959ed345bccc514c9923e58ee9"},"schema_version":"1.0","source":{"id":"1803.08891","kind":"arxiv","version":1}},"canonical_sha256":"a74c218f41571451a8c8aff445d6bcd53dd11cff737b027d41b8682264a30309","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a74c218f41571451a8c8aff445d6bcd53dd11cff737b027d41b8682264a30309","first_computed_at":"2026-05-17T23:59:09.449145Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:09.449145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AkTr5yMcioCJZv27WEOWGgCRysUnTV28dhnglYYh1j0NPu0YezYCXz25y6pubxpvYQWJSK7uHsY3j0xr7s9UBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:09.449658Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.08891","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0337c296457277fb1ba88dd047a723d014a0eb528b2bff814882e36da39a1b4","sha256:d718ba18543a3768674fc0cc211600edf385d1301b5affac8f7431ed6a64eafe"],"state_sha256":"900667ebeec91b39b7f13ae0e3dc15c588c53a4f3d425af63eea2e0b5bf8a333"}