{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:SM6GCBJQJTPPHVTMZSCYPPBAVQ","short_pith_number":"pith:SM6GCBJQ","schema_version":"1.0","canonical_sha256":"933c6105304cdef3d66ccc8587bc20ac2a35a74e3b3f9678a86a07080ed935b7","source":{"kind":"arxiv","id":"1710.10965","version":1},"attestation_state":"computed","paper":{"title":"Low-dimensional totally geodesic submanifolds in \"skew\" position in the symmetric spaces of rank 2","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Sebastian Klein","submitted_at":"2017-10-30T14:24:45Z","abstract_excerpt":"We use the Cartan representations of $SO(3)$ and $SU(3)$, and an irreducible 14-dimensional representation of $Sp(3)$ to construct certain totally geodesic submanifolds in \"skew\" position in the complex quadrics, the complex 2-Grassmannians and the quaternionic 2-Grassmannians."},"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":"1710.10965","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-10-30T14:24:45Z","cross_cats_sorted":[],"title_canon_sha256":"87d4228aa67e1c606765a55e0905957b22e4c70e9077ac76d330f47a9c6f53ad","abstract_canon_sha256":"95ce19238473c7fb5ab3c56eb554725643f7e53d5f17319792f861763cd611c9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:45.983231Z","signature_b64":"UgEGLvGa4BvwTGDjp3Tlgz+GnW2VbzCx2YOCkgB+c8XaOxTq4ypapOqtstJxx2/GSZZ3D7eq4yrrju8w90jzAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"933c6105304cdef3d66ccc8587bc20ac2a35a74e3b3f9678a86a07080ed935b7","last_reissued_at":"2026-05-18T00:31:45.982755Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:45.982755Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Low-dimensional totally geodesic submanifolds in \"skew\" position in the symmetric spaces of rank 2","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Sebastian Klein","submitted_at":"2017-10-30T14:24:45Z","abstract_excerpt":"We use the Cartan representations of $SO(3)$ and $SU(3)$, and an irreducible 14-dimensional representation of $Sp(3)$ to construct certain totally geodesic submanifolds in \"skew\" position in the complex quadrics, the complex 2-Grassmannians and the quaternionic 2-Grassmannians."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10965","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":"1710.10965","created_at":"2026-05-18T00:31:45.982828+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.10965v1","created_at":"2026-05-18T00:31:45.982828+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.10965","created_at":"2026-05-18T00:31:45.982828+00:00"},{"alias_kind":"pith_short_12","alias_value":"SM6GCBJQJTPP","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_16","alias_value":"SM6GCBJQJTPPHVTM","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_8","alias_value":"SM6GCBJQ","created_at":"2026-05-18T12:31:43.269735+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/SM6GCBJQJTPPHVTMZSCYPPBAVQ","json":"https://pith.science/pith/SM6GCBJQJTPPHVTMZSCYPPBAVQ.json","graph_json":"https://pith.science/api/pith-number/SM6GCBJQJTPPHVTMZSCYPPBAVQ/graph.json","events_json":"https://pith.science/api/pith-number/SM6GCBJQJTPPHVTMZSCYPPBAVQ/events.json","paper":"https://pith.science/paper/SM6GCBJQ"},"agent_actions":{"view_html":"https://pith.science/pith/SM6GCBJQJTPPHVTMZSCYPPBAVQ","download_json":"https://pith.science/pith/SM6GCBJQJTPPHVTMZSCYPPBAVQ.json","view_paper":"https://pith.science/paper/SM6GCBJQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.10965&json=true","fetch_graph":"https://pith.science/api/pith-number/SM6GCBJQJTPPHVTMZSCYPPBAVQ/graph.json","fetch_events":"https://pith.science/api/pith-number/SM6GCBJQJTPPHVTMZSCYPPBAVQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SM6GCBJQJTPPHVTMZSCYPPBAVQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SM6GCBJQJTPPHVTMZSCYPPBAVQ/action/storage_attestation","attest_author":"https://pith.science/pith/SM6GCBJQJTPPHVTMZSCYPPBAVQ/action/author_attestation","sign_citation":"https://pith.science/pith/SM6GCBJQJTPPHVTMZSCYPPBAVQ/action/citation_signature","submit_replication":"https://pith.science/pith/SM6GCBJQJTPPHVTMZSCYPPBAVQ/action/replication_record"}},"created_at":"2026-05-18T00:31:45.982828+00:00","updated_at":"2026-05-18T00:31:45.982828+00:00"}