{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:5KH3L46R3MIKYFAJW6O6YNVOGO","short_pith_number":"pith:5KH3L46R","schema_version":"1.0","canonical_sha256":"ea8fb5f3d1db10ac1409b79dec36ae339085ec8c7002655323ce1985e02e53a0","source":{"kind":"arxiv","id":"1708.03424","version":1},"attestation_state":"computed","paper":{"title":"Gradient expansion formalism for generic spin torques","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Atsuo Shitade","submitted_at":"2017-08-11T03:40:04Z","abstract_excerpt":"We propose a new quantum-mechanical formalism to calculate spin torques based on the gradient expansion, which naturally involves spacetime gradients of the magnetization and electromagnetic fields. We have no assumption in the small-amplitude formalism or no difficulty in the SU($2$) gauge transformation formalism. As a representative, we calculate the spin renormalization, Gilbert damping, spin-transfer torque, and $\\beta$-term in a three-dimensional ferromagnetic metal with nonmagnetic and magnetic impurities being taken into account within the self-consistent Born approximation. Our result"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1708.03424","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-08-11T03:40:04Z","cross_cats_sorted":[],"title_canon_sha256":"8f17a9634d29cbf6d2bd43870d199611290d6d93cd0ab89c27c3081aa612b1f2","abstract_canon_sha256":"f1094a61de2046185ea05999aff6581b7e7073f91600821b1d2fadc8189bc4b5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:13.158031Z","signature_b64":"ZrJ16j8tn894sQvTxxomvaTuajz28fPgJ7y4x4vei8m1rc44vdsUyjrJfTxJ6xKxMkwEI8Yot+YbJNm7HxTeAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea8fb5f3d1db10ac1409b79dec36ae339085ec8c7002655323ce1985e02e53a0","last_reissued_at":"2026-05-18T00:38:13.157382Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:13.157382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gradient expansion formalism for generic spin torques","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Atsuo Shitade","submitted_at":"2017-08-11T03:40:04Z","abstract_excerpt":"We propose a new quantum-mechanical formalism to calculate spin torques based on the gradient expansion, which naturally involves spacetime gradients of the magnetization and electromagnetic fields. We have no assumption in the small-amplitude formalism or no difficulty in the SU($2$) gauge transformation formalism. As a representative, we calculate the spin renormalization, Gilbert damping, spin-transfer torque, and $\\beta$-term in a three-dimensional ferromagnetic metal with nonmagnetic and magnetic impurities being taken into account within the self-consistent Born approximation. Our result"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03424","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1708.03424","created_at":"2026-05-18T00:38:13.157477+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.03424v1","created_at":"2026-05-18T00:38:13.157477+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03424","created_at":"2026-05-18T00:38:13.157477+00:00"},{"alias_kind":"pith_short_12","alias_value":"5KH3L46R3MIK","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_16","alias_value":"5KH3L46R3MIKYFAJ","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_8","alias_value":"5KH3L46R","created_at":"2026-05-18T12:31:00.734936+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.06983","citing_title":"Nonadiabatic Theory of Phonon Magnetic Moments in Insulators and Metals","ref_index":62,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5KH3L46R3MIKYFAJW6O6YNVOGO","json":"https://pith.science/pith/5KH3L46R3MIKYFAJW6O6YNVOGO.json","graph_json":"https://pith.science/api/pith-number/5KH3L46R3MIKYFAJW6O6YNVOGO/graph.json","events_json":"https://pith.science/api/pith-number/5KH3L46R3MIKYFAJW6O6YNVOGO/events.json","paper":"https://pith.science/paper/5KH3L46R"},"agent_actions":{"view_html":"https://pith.science/pith/5KH3L46R3MIKYFAJW6O6YNVOGO","download_json":"https://pith.science/pith/5KH3L46R3MIKYFAJW6O6YNVOGO.json","view_paper":"https://pith.science/paper/5KH3L46R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.03424&json=true","fetch_graph":"https://pith.science/api/pith-number/5KH3L46R3MIKYFAJW6O6YNVOGO/graph.json","fetch_events":"https://pith.science/api/pith-number/5KH3L46R3MIKYFAJW6O6YNVOGO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5KH3L46R3MIKYFAJW6O6YNVOGO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5KH3L46R3MIKYFAJW6O6YNVOGO/action/storage_attestation","attest_author":"https://pith.science/pith/5KH3L46R3MIKYFAJW6O6YNVOGO/action/author_attestation","sign_citation":"https://pith.science/pith/5KH3L46R3MIKYFAJW6O6YNVOGO/action/citation_signature","submit_replication":"https://pith.science/pith/5KH3L46R3MIKYFAJW6O6YNVOGO/action/replication_record"}},"created_at":"2026-05-18T00:38:13.157477+00:00","updated_at":"2026-05-18T00:38:13.157477+00:00"}