{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:RW5AQMF5WTPERO3ICU5WEWWIFI","short_pith_number":"pith:RW5AQMF5","schema_version":"1.0","canonical_sha256":"8dba0830bdb4de48bb68153b625ac82a2f287196d3deeca329802f22419c86ee","source":{"kind":"arxiv","id":"2407.13548","version":2},"attestation_state":"computed","paper":{"title":"A tensorial approach to 'altermagnetism'","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"cond-mat.str-el","authors_text":"Paolo G. Radaelli","submitted_at":"2024-07-18T14:23:07Z","abstract_excerpt":"I present a tensorial approach to the description of $\\vec{k}/-\\vec{k}$-symmetric, time-reversal-odd splitting of electronic bands in magnetic materials, which can be of non-relativistic origin and was recently given the name of `altermagnetism'. I demonstrate that tensors provide a general framework to discuss magnetic symmetry using both spin groups and magnetic point groups, which have often been contrasted in recent literature. I also provide a natural classification of altermagnets in terms of the lowest-order tensorial forms that are permitted in each of the 69 altermagnetic point groups"},"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":"2407.13548","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-07-18T14:23:07Z","cross_cats_sorted":["cond-mat.mtrl-sci"],"title_canon_sha256":"98f7944295b798f5b7ed8d740cc12bf4fa8e10ecc6c87e8df40793a3ed266354","abstract_canon_sha256":"5ccefdb7036b9a28e05bc854da5a95b50c79e6c73b14ead815c32bd6e7d329b7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:57:39.876175Z","signature_b64":"cJ9PmYndS/nhP61ePGZAzsmNPDNw5d5GNkX/TJ6LSr6sr/5qZOq/29j7TQwJSnkBdQeRLyISboXgX5qCX5b1DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8dba0830bdb4de48bb68153b625ac82a2f287196d3deeca329802f22419c86ee","last_reissued_at":"2026-07-05T08:57:39.875743Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:57:39.875743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A tensorial approach to 'altermagnetism'","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"cond-mat.str-el","authors_text":"Paolo G. Radaelli","submitted_at":"2024-07-18T14:23:07Z","abstract_excerpt":"I present a tensorial approach to the description of $\\vec{k}/-\\vec{k}$-symmetric, time-reversal-odd splitting of electronic bands in magnetic materials, which can be of non-relativistic origin and was recently given the name of `altermagnetism'. I demonstrate that tensors provide a general framework to discuss magnetic symmetry using both spin groups and magnetic point groups, which have often been contrasted in recent literature. I also provide a natural classification of altermagnets in terms of the lowest-order tensorial forms that are permitted in each of the 69 altermagnetic point groups"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.13548","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2407.13548/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2407.13548","created_at":"2026-07-05T08:57:39.875798+00:00"},{"alias_kind":"arxiv_version","alias_value":"2407.13548v2","created_at":"2026-07-05T08:57:39.875798+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.13548","created_at":"2026-07-05T08:57:39.875798+00:00"},{"alias_kind":"pith_short_12","alias_value":"RW5AQMF5WTPE","created_at":"2026-07-05T08:57:39.875798+00:00"},{"alias_kind":"pith_short_16","alias_value":"RW5AQMF5WTPERO3I","created_at":"2026-07-05T08:57:39.875798+00:00"},{"alias_kind":"pith_short_8","alias_value":"RW5AQMF5","created_at":"2026-07-05T08:57:39.875798+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2607.02329","citing_title":"Grounded autonomous research: a fault-tolerant LLM pipeline from corpus to manuscript in frontier computational physics","ref_index":41,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RW5AQMF5WTPERO3ICU5WEWWIFI","json":"https://pith.science/pith/RW5AQMF5WTPERO3ICU5WEWWIFI.json","graph_json":"https://pith.science/api/pith-number/RW5AQMF5WTPERO3ICU5WEWWIFI/graph.json","events_json":"https://pith.science/api/pith-number/RW5AQMF5WTPERO3ICU5WEWWIFI/events.json","paper":"https://pith.science/paper/RW5AQMF5"},"agent_actions":{"view_html":"https://pith.science/pith/RW5AQMF5WTPERO3ICU5WEWWIFI","download_json":"https://pith.science/pith/RW5AQMF5WTPERO3ICU5WEWWIFI.json","view_paper":"https://pith.science/paper/RW5AQMF5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2407.13548&json=true","fetch_graph":"https://pith.science/api/pith-number/RW5AQMF5WTPERO3ICU5WEWWIFI/graph.json","fetch_events":"https://pith.science/api/pith-number/RW5AQMF5WTPERO3ICU5WEWWIFI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RW5AQMF5WTPERO3ICU5WEWWIFI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RW5AQMF5WTPERO3ICU5WEWWIFI/action/storage_attestation","attest_author":"https://pith.science/pith/RW5AQMF5WTPERO3ICU5WEWWIFI/action/author_attestation","sign_citation":"https://pith.science/pith/RW5AQMF5WTPERO3ICU5WEWWIFI/action/citation_signature","submit_replication":"https://pith.science/pith/RW5AQMF5WTPERO3ICU5WEWWIFI/action/replication_record"}},"created_at":"2026-07-05T08:57:39.875798+00:00","updated_at":"2026-07-05T08:57:39.875798+00:00"}