{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:HQXFGDQ6QUNHBVU7CFMLZTKVWH","short_pith_number":"pith:HQXFGDQ6","schema_version":"1.0","canonical_sha256":"3c2e530e1e851a70d69f1158bccd55b1db8b1a22325bf000f236370c88cbd8c6","source":{"kind":"arxiv","id":"1203.3563","version":2},"attestation_state":"computed","paper":{"title":"Minimal tensors and purely electric or magnetic spacetimes of arbitrary dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Lode Wylleman, Marcello Ortaggio, Sigbj{\\o}rn Hervik","submitted_at":"2012-03-15T21:04:19Z","abstract_excerpt":"We consider time reversal transformations to obtain twofold orthogonal splittings of any tensor on a Lorentzian space of arbitrary dimension n. Applied to the Weyl tensor of a spacetime, this leads to a definition of its electric and magnetic parts relative to an observer (i.e., a unit timelike vector field u), in any n. We study the cases where one of these parts vanishes in particular, i.e., purely electric (PE) or magnetic (PM) spacetimes. We generalize several results from four to higher dimensions and discuss new features of higher dimensions. We prove that the only permitted Weyl types a"},"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":"1203.3563","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-03-15T21:04:19Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"ca9b6932f3bb9ff5564ca855731a3b9b5d803df86ccf482841697c1189b80bf9","abstract_canon_sha256":"ffc049fd9d1e4e1ece972575ebaea694c3b3ebbfeebfceb3e014422b4704634c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:17:25.053783Z","signature_b64":"mz1KmAeL6dFoecTqrzyAw5nX6XfDfIOYb8CmS/0rKg0DHfSzOdqzP4Hbcq/65RjiNt+2+AwPMmdBSbclDsOKDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c2e530e1e851a70d69f1158bccd55b1db8b1a22325bf000f236370c88cbd8c6","last_reissued_at":"2026-05-18T03:17:25.053361Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:17:25.053361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Minimal tensors and purely electric or magnetic spacetimes of arbitrary dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Lode Wylleman, Marcello Ortaggio, Sigbj{\\o}rn Hervik","submitted_at":"2012-03-15T21:04:19Z","abstract_excerpt":"We consider time reversal transformations to obtain twofold orthogonal splittings of any tensor on a Lorentzian space of arbitrary dimension n. Applied to the Weyl tensor of a spacetime, this leads to a definition of its electric and magnetic parts relative to an observer (i.e., a unit timelike vector field u), in any n. We study the cases where one of these parts vanishes in particular, i.e., purely electric (PE) or magnetic (PM) spacetimes. We generalize several results from four to higher dimensions and discuss new features of higher dimensions. We prove that the only permitted Weyl types a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.3563","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":""},"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":"1203.3563","created_at":"2026-05-18T03:17:25.053421+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.3563v2","created_at":"2026-05-18T03:17:25.053421+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.3563","created_at":"2026-05-18T03:17:25.053421+00:00"},{"alias_kind":"pith_short_12","alias_value":"HQXFGDQ6QUNH","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_16","alias_value":"HQXFGDQ6QUNHBVU7","created_at":"2026-05-18T12:27:09.501522+00:00"},{"alias_kind":"pith_short_8","alias_value":"HQXFGDQ6","created_at":"2026-05-18T12:27:09.501522+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/HQXFGDQ6QUNHBVU7CFMLZTKVWH","json":"https://pith.science/pith/HQXFGDQ6QUNHBVU7CFMLZTKVWH.json","graph_json":"https://pith.science/api/pith-number/HQXFGDQ6QUNHBVU7CFMLZTKVWH/graph.json","events_json":"https://pith.science/api/pith-number/HQXFGDQ6QUNHBVU7CFMLZTKVWH/events.json","paper":"https://pith.science/paper/HQXFGDQ6"},"agent_actions":{"view_html":"https://pith.science/pith/HQXFGDQ6QUNHBVU7CFMLZTKVWH","download_json":"https://pith.science/pith/HQXFGDQ6QUNHBVU7CFMLZTKVWH.json","view_paper":"https://pith.science/paper/HQXFGDQ6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.3563&json=true","fetch_graph":"https://pith.science/api/pith-number/HQXFGDQ6QUNHBVU7CFMLZTKVWH/graph.json","fetch_events":"https://pith.science/api/pith-number/HQXFGDQ6QUNHBVU7CFMLZTKVWH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HQXFGDQ6QUNHBVU7CFMLZTKVWH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HQXFGDQ6QUNHBVU7CFMLZTKVWH/action/storage_attestation","attest_author":"https://pith.science/pith/HQXFGDQ6QUNHBVU7CFMLZTKVWH/action/author_attestation","sign_citation":"https://pith.science/pith/HQXFGDQ6QUNHBVU7CFMLZTKVWH/action/citation_signature","submit_replication":"https://pith.science/pith/HQXFGDQ6QUNHBVU7CFMLZTKVWH/action/replication_record"}},"created_at":"2026-05-18T03:17:25.053421+00:00","updated_at":"2026-05-18T03:17:25.053421+00:00"}