{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:P4523NGE7HMCSHX6BFJK5ATJE3","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":"b726a291bcfca036501b9b213fa3c7670ce0adc70da174c4d58656be7355cea9","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-01T20:38:51Z","title_canon_sha256":"9fb7e56e85e714f5e7f940833c04c541d97c1a3221b35499e2287fc83ed8d486"},"schema_version":"1.0","source":{"id":"1107.0332","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.0332","created_at":"2026-05-18T00:35:18Z"},{"alias_kind":"arxiv_version","alias_value":"1107.0332v2","created_at":"2026-05-18T00:35:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.0332","created_at":"2026-05-18T00:35:18Z"},{"alias_kind":"pith_short_12","alias_value":"P4523NGE7HMC","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"P4523NGE7HMCSHX6","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"P4523NGE","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:4dba211ea6495fd32638c6d0d2d1eb24736cda213fa114e85fc2907ca5b7bf52","target":"graph","created_at":"2026-05-18T00:35:18Z","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":"In this work we employ a field theoretical approach to explain the nature of the non-conserved spin current in spintronics. In particular, we consider the usual U(1) gauge theory for the electromagnetism at classical level in order to obtain the broken continuity equation involving the spin current and spin-transfer torque. Inspired in the recent work of A. Vernes, B. L. Gyorffy and P. Weinberger where they obtain such equation in terms of relativistic quantum mechanics, we formalize their result in terms of the well known currents of field theory such as the Bargmann-Wigner current and the ch","authors_text":"R. F. Sobreiro, V. J. Vasquez Otoya","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-01T20:38:51Z","title":"The role of gauge symmetry in spintronics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.0332","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":"sha256:854d47cf170a1653e0ec19c669de6437d6984660bf9bb5ee020ab04abba2a2f7","target":"record","created_at":"2026-05-18T00:35:18Z","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":"b726a291bcfca036501b9b213fa3c7670ce0adc70da174c4d58656be7355cea9","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-01T20:38:51Z","title_canon_sha256":"9fb7e56e85e714f5e7f940833c04c541d97c1a3221b35499e2287fc83ed8d486"},"schema_version":"1.0","source":{"id":"1107.0332","kind":"arxiv","version":2}},"canonical_sha256":"7f3badb4c4f9d8291efe0952ae826926fd0a7f078cbc3151ddf719679ec82617","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f3badb4c4f9d8291efe0952ae826926fd0a7f078cbc3151ddf719679ec82617","first_computed_at":"2026-05-18T00:35:18.927089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:18.927089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LazE0uX8j0HN5fFq+rML7btwWV7KZrvoDACjHe9TxRryvfptrJwitSSMeAxzIYbNEeAOX/8a1TOvHsEtuBTNDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:18.927630Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.0332","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:854d47cf170a1653e0ec19c669de6437d6984660bf9bb5ee020ab04abba2a2f7","sha256:4dba211ea6495fd32638c6d0d2d1eb24736cda213fa114e85fc2907ca5b7bf52"],"state_sha256":"534bb85f031727e02d7d2ee8ba103385b62904934049a346bc583b94cd26ab1c"}