{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:GX3UKCSL6ZCQZM4FZR3K5XM53O","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":"29f057fa000576dca83aa98a596a14325a047acb3638a791476d0d904b47dfb6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2021-04-19T19:34:13Z","title_canon_sha256":"546a721ab9d0dcb056e7389dbca67911c7b6250ab5b6bae979f0e7b4f95df034"},"schema_version":"1.0","source":{"id":"2104.09584","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.09584","created_at":"2026-07-05T03:04:50Z"},{"alias_kind":"arxiv_version","alias_value":"2104.09584v1","created_at":"2026-07-05T03:04:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.09584","created_at":"2026-07-05T03:04:50Z"},{"alias_kind":"pith_short_12","alias_value":"GX3UKCSL6ZCQ","created_at":"2026-07-05T03:04:50Z"},{"alias_kind":"pith_short_16","alias_value":"GX3UKCSL6ZCQZM4F","created_at":"2026-07-05T03:04:50Z"},{"alias_kind":"pith_short_8","alias_value":"GX3UKCSL","created_at":"2026-07-05T03:04:50Z"}],"graph_snapshots":[{"event_id":"sha256:d1293204549962df0a7634a8b2ee8d52aa96abe5ec0881cf39cf0eb30198e7f1","target":"graph","created_at":"2026-07-05T03:04:50Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2104.09584/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study scattering of itinerant electrons off a magnetic hopfion in a three-dimensional metallic magnet described by a magnetization vector $\\mathbf S(\\mathbf r)$. A hopfion is a confined topological soliton of $\\mathbf S(\\mathbf r)$ characterized by an {\\it emergent} magnetic field $B_\\gamma(\\mathbf r) \\equiv \\epsilon_{\\alpha\\beta\\gamma} \\,\\mathbf S\\cdot(\\nabla_\\alpha \\mathbf S\\times \\nabla_\\beta \\mathbf S)/4 \\neq 0$ with vanishing average value $\\langle \\mathbf B(\\mathbf r)\\rangle = 0$. We evaluate the scattering amplitude in the opposite limits of large and small hopfion radius $R$ using t","authors_text":"Domenico Andreoli, Jiadong Zang, Sergey S. Pershoguba","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2021-04-19T19:34:13Z","title":"Electronic scattering off a magnetic hopfion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.09584","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":"sha256:4185b767697c710d2f4415fe0b6ed25a0bc7210c1e0cfd905266074492cbb38e","target":"record","created_at":"2026-07-05T03:04:50Z","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":"29f057fa000576dca83aa98a596a14325a047acb3638a791476d0d904b47dfb6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2021-04-19T19:34:13Z","title_canon_sha256":"546a721ab9d0dcb056e7389dbca67911c7b6250ab5b6bae979f0e7b4f95df034"},"schema_version":"1.0","source":{"id":"2104.09584","kind":"arxiv","version":1}},"canonical_sha256":"35f7450a4bf6450cb385cc76aedd9ddb9f9945c2d2d2f236a901f28324b0b04b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"35f7450a4bf6450cb385cc76aedd9ddb9f9945c2d2d2f236a901f28324b0b04b","first_computed_at":"2026-07-05T03:04:50.926882Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:04:50.926882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fUGYooiIucJFfNnNPIl7DDsJzNurnYd9G/U/lWKwiQApRC6Viu0lyWLknOIvUwuVcsZCZD8xABEDOX0alJ4fBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:04:50.927233Z","signed_message":"canonical_sha256_bytes"},"source_id":"2104.09584","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4185b767697c710d2f4415fe0b6ed25a0bc7210c1e0cfd905266074492cbb38e","sha256:d1293204549962df0a7634a8b2ee8d52aa96abe5ec0881cf39cf0eb30198e7f1"],"state_sha256":"15b2c78af71668233cf27155fa256b21fd53810b9dd6a95b13a291edc9ebc530"}