{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:GRU4GZOET3WX63FB3XC36RLMFR","short_pith_number":"pith:GRU4GZOE","schema_version":"1.0","canonical_sha256":"3469c365c49eed7f6ca1ddc5bf456c2c5a4905b511fca18d3ade247139f2e2ca","source":{"kind":"arxiv","id":"1704.01559","version":1},"attestation_state":"computed","paper":{"title":"Relativistic theory of magnetic inertia in ultrafast spin dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.other","authors_text":"Ashis K. Nandy, Marco Berritta, Peter M. Oppeneer, Ritwik Mondal","submitted_at":"2017-03-20T21:06:00Z","abstract_excerpt":"The influence of possible magnetic inertia effects has recently drawn attention in ultrafast magnetization dynamics and switching. Here we derive rigorously a description of inertia in the Landau-Lifshitz-Gilbert equation on the basis of the Dirac-Kohn-Sham framework. Using the Foldy-Wouthuysen transformation up to the order of $1/c^4$ gives the intrinsic inertia of a pure system through the 2$^{\\rm nd}$ order time-derivative of magnetization in the dynamical equation of motion. Thus, the inertial damping $\\mathcal{I}$ is a higher order spin-orbit coupling effect, $\\sim 1/c^4$, as compared to "},"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":"1704.01559","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2017-03-20T21:06:00Z","cross_cats_sorted":[],"title_canon_sha256":"e8a4f3f09861d29678cf3323934f48adf74a63482633a3fe0f6365bbcb5bfa61","abstract_canon_sha256":"47688b24f6cbf7c69dc8ebd588524dc0877e8b04be5fa9d0b528c5ecf8676a5c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:36.045694Z","signature_b64":"ATWWL3EeQkqGR4KIsvOsLpq4gNFT1uqarARbQxa+0dTsp/M5NrQ1lkjn8SPtZWHaqA7S3IZwOvwYN80sLQ+DBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3469c365c49eed7f6ca1ddc5bf456c2c5a4905b511fca18d3ade247139f2e2ca","last_reissued_at":"2026-05-18T00:39:36.045202Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:36.045202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Relativistic theory of magnetic inertia in ultrafast spin dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.other","authors_text":"Ashis K. Nandy, Marco Berritta, Peter M. Oppeneer, Ritwik Mondal","submitted_at":"2017-03-20T21:06:00Z","abstract_excerpt":"The influence of possible magnetic inertia effects has recently drawn attention in ultrafast magnetization dynamics and switching. Here we derive rigorously a description of inertia in the Landau-Lifshitz-Gilbert equation on the basis of the Dirac-Kohn-Sham framework. Using the Foldy-Wouthuysen transformation up to the order of $1/c^4$ gives the intrinsic inertia of a pure system through the 2$^{\\rm nd}$ order time-derivative of magnetization in the dynamical equation of motion. Thus, the inertial damping $\\mathcal{I}$ is a higher order spin-orbit coupling effect, $\\sim 1/c^4$, as compared to "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.01559","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":"1704.01559","created_at":"2026-05-18T00:39:36.045277+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.01559v1","created_at":"2026-05-18T00:39:36.045277+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.01559","created_at":"2026-05-18T00:39:36.045277+00:00"},{"alias_kind":"pith_short_12","alias_value":"GRU4GZOET3WX","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_16","alias_value":"GRU4GZOET3WX63FB","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_8","alias_value":"GRU4GZOE","created_at":"2026-05-18T12:31:18.294218+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GRU4GZOET3WX63FB3XC36RLMFR","json":"https://pith.science/pith/GRU4GZOET3WX63FB3XC36RLMFR.json","graph_json":"https://pith.science/api/pith-number/GRU4GZOET3WX63FB3XC36RLMFR/graph.json","events_json":"https://pith.science/api/pith-number/GRU4GZOET3WX63FB3XC36RLMFR/events.json","paper":"https://pith.science/paper/GRU4GZOE"},"agent_actions":{"view_html":"https://pith.science/pith/GRU4GZOET3WX63FB3XC36RLMFR","download_json":"https://pith.science/pith/GRU4GZOET3WX63FB3XC36RLMFR.json","view_paper":"https://pith.science/paper/GRU4GZOE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.01559&json=true","fetch_graph":"https://pith.science/api/pith-number/GRU4GZOET3WX63FB3XC36RLMFR/graph.json","fetch_events":"https://pith.science/api/pith-number/GRU4GZOET3WX63FB3XC36RLMFR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GRU4GZOET3WX63FB3XC36RLMFR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GRU4GZOET3WX63FB3XC36RLMFR/action/storage_attestation","attest_author":"https://pith.science/pith/GRU4GZOET3WX63FB3XC36RLMFR/action/author_attestation","sign_citation":"https://pith.science/pith/GRU4GZOET3WX63FB3XC36RLMFR/action/citation_signature","submit_replication":"https://pith.science/pith/GRU4GZOET3WX63FB3XC36RLMFR/action/replication_record"}},"created_at":"2026-05-18T00:39:36.045277+00:00","updated_at":"2026-05-18T00:39:36.045277+00:00"}