{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5KH3L46R3MIKYFAJW6O6YNVOGO","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":"f1094a61de2046185ea05999aff6581b7e7073f91600821b1d2fadc8189bc4b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-08-11T03:40:04Z","title_canon_sha256":"8f17a9634d29cbf6d2bd43870d199611290d6d93cd0ab89c27c3081aa612b1f2"},"schema_version":"1.0","source":{"id":"1708.03424","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.03424","created_at":"2026-05-18T00:38:13Z"},{"alias_kind":"arxiv_version","alias_value":"1708.03424v1","created_at":"2026-05-18T00:38:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03424","created_at":"2026-05-18T00:38:13Z"},{"alias_kind":"pith_short_12","alias_value":"5KH3L46R3MIK","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5KH3L46R3MIKYFAJ","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5KH3L46R","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:df7020c6be993b606309b2f3fb71cdb0d4386dd021cdb5bd9ff4baf7c87c3cd0","target":"graph","created_at":"2026-05-18T00:38:13Z","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":"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","authors_text":"Atsuo Shitade","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-08-11T03:40:04Z","title":"Gradient expansion formalism for generic spin torques"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03424","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:ab79b8e0ad1ef874206b92b3cc43aa004568ff23124036b71791d6327665376f","target":"record","created_at":"2026-05-18T00:38:13Z","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":"f1094a61de2046185ea05999aff6581b7e7073f91600821b1d2fadc8189bc4b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-08-11T03:40:04Z","title_canon_sha256":"8f17a9634d29cbf6d2bd43870d199611290d6d93cd0ab89c27c3081aa612b1f2"},"schema_version":"1.0","source":{"id":"1708.03424","kind":"arxiv","version":1}},"canonical_sha256":"ea8fb5f3d1db10ac1409b79dec36ae339085ec8c7002655323ce1985e02e53a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea8fb5f3d1db10ac1409b79dec36ae339085ec8c7002655323ce1985e02e53a0","first_computed_at":"2026-05-18T00:38:13.157382Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:13.157382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZrJ16j8tn894sQvTxxomvaTuajz28fPgJ7y4x4vei8m1rc44vdsUyjrJfTxJ6xKxMkwEI8Yot+YbJNm7HxTeAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:13.158031Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.03424","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab79b8e0ad1ef874206b92b3cc43aa004568ff23124036b71791d6327665376f","sha256:df7020c6be993b606309b2f3fb71cdb0d4386dd021cdb5bd9ff4baf7c87c3cd0"],"state_sha256":"d98ce606f5499f2c75c745958b024935d384ea2525ca64586c452385e408a58c"}