{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:MCVOCLGTBW3DVRY6TW3WEVQAOP","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":"7ff3f98e41d463aa9b329ec37243300eafcc50091a32da471bb8c8717988c638","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-05-15T15:11:20Z","title_canon_sha256":"34cf0493e9248ab7d8c376fce635ae142a9bc9862386ba9af17258892ae87f50"},"schema_version":"1.0","source":{"id":"1305.3517","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.3517","created_at":"2026-05-18T01:34:59Z"},{"alias_kind":"arxiv_version","alias_value":"1305.3517v1","created_at":"2026-05-18T01:34:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3517","created_at":"2026-05-18T01:34:59Z"},{"alias_kind":"pith_short_12","alias_value":"MCVOCLGTBW3D","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"MCVOCLGTBW3DVRY6","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"MCVOCLGT","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:b48f07c3016c9944e5ba7aee7005c9beff76665963f01cf90204e6cf6bd6e20d","target":"graph","created_at":"2026-05-18T01:34:59Z","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 derive the general expression of the anisotropic magnetoresistance (AMR) ratio of ferromagnets for a relative angle between the magnetization direction and the current direction. We here use the two-current model for a system consisting of a spin-polarized conduction state (s) and localized d states (d) with spin-orbit interaction. Using the expression, we analyze the AMR ratios of Ni and a half-metallic ferromagnet. These results correspond well to the respective experimental results. In addition, we give an intuitive explanation about a relation between the sign of the AMR ratio and the s","authors_text":"Masakiyo Tsunoda, Satoshi Kokado","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-05-15T15:11:20Z","title":"Anisotropic Magnetoresistance Effect: General Expression of AMR Ratio and Intuitive Explanation for Sign of AMR Ratio"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3517","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":"sha256:5e26d08b8674c90701ce8970a26db6cd87e281f419856ffb32ded8f493eb7d74","target":"record","created_at":"2026-05-18T01:34:59Z","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":"7ff3f98e41d463aa9b329ec37243300eafcc50091a32da471bb8c8717988c638","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2013-05-15T15:11:20Z","title_canon_sha256":"34cf0493e9248ab7d8c376fce635ae142a9bc9862386ba9af17258892ae87f50"},"schema_version":"1.0","source":{"id":"1305.3517","kind":"arxiv","version":1}},"canonical_sha256":"60aae12cd30db63ac71e9db762560073e68282e866c1224a5be4c3b5a946cf31","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60aae12cd30db63ac71e9db762560073e68282e866c1224a5be4c3b5a946cf31","first_computed_at":"2026-05-18T01:34:59.465906Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:59.465906Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p1IhDKYJQ3SzAxKlEFG9yZ46N+vZogVytnJ9oVsVAW0/62uztA8wyvN1MRoeAOxrOs2c7TAapiOTFzMcIAkTDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:59.466545Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.3517","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e26d08b8674c90701ce8970a26db6cd87e281f419856ffb32ded8f493eb7d74","sha256:b48f07c3016c9944e5ba7aee7005c9beff76665963f01cf90204e6cf6bd6e20d"],"state_sha256":"76565c5010b0e4b943cd43cc47878cdedd81234f320abb3dd5e147a1410afd1d"}