{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:YSTDJ3PPINB3ZWYROAGAQSOQYT","short_pith_number":"pith:YSTDJ3PP","schema_version":"1.0","canonical_sha256":"c4a634edef4343bcdb11700c0849d0c4e83f09ef94ec384991f306c4b16412cf","source":{"kind":"arxiv","id":"1007.1205","version":3},"attestation_state":"computed","paper":{"title":"Riemannian manifolds with structure group PSU(3)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Christof Puhle","submitted_at":"2010-07-07T17:54:27Z","abstract_excerpt":"We study 8-dimensional Riemannian manifolds that admit a PSU(3)-structure. We classify these structures by their intrinsic torsion and characterize the corresponding classes via differential equations. Moreover, we consider a connection defined by a 3- and a 4-form that preserves the underlying structure. Finally, we discuss the geometry of these manifolds relatively to the holonomy algebra of this connection."},"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":"1007.1205","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-07-07T17:54:27Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"86bc2f32de1770ff29eba1a684662152bdad0566a4ae25f59b2ff214589efdf6","abstract_canon_sha256":"cd43b67251942f3b70b06faf05cdc49206c0f0b2b4c0bbf12a8d6332a644f100"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:02.624461Z","signature_b64":"Te5YffSxNtmpPMPT/QMa/O65qhbt6E8YZpLjawYiQ/UShmoOgswjf/vw0jvGWLK2E8tW4VlxSuqHdnv8SsUqBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c4a634edef4343bcdb11700c0849d0c4e83f09ef94ec384991f306c4b16412cf","last_reissued_at":"2026-05-18T03:41:02.623858Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:02.623858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Riemannian manifolds with structure group PSU(3)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Christof Puhle","submitted_at":"2010-07-07T17:54:27Z","abstract_excerpt":"We study 8-dimensional Riemannian manifolds that admit a PSU(3)-structure. We classify these structures by their intrinsic torsion and characterize the corresponding classes via differential equations. Moreover, we consider a connection defined by a 3- and a 4-form that preserves the underlying structure. Finally, we discuss the geometry of these manifolds relatively to the holonomy algebra of this connection."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.1205","kind":"arxiv","version":3},"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":"1007.1205","created_at":"2026-05-18T03:41:02.623960+00:00"},{"alias_kind":"arxiv_version","alias_value":"1007.1205v3","created_at":"2026-05-18T03:41:02.623960+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.1205","created_at":"2026-05-18T03:41:02.623960+00:00"},{"alias_kind":"pith_short_12","alias_value":"YSTDJ3PPINB3","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_16","alias_value":"YSTDJ3PPINB3ZWYR","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_8","alias_value":"YSTDJ3PP","created_at":"2026-05-18T12:26:17.028572+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/YSTDJ3PPINB3ZWYROAGAQSOQYT","json":"https://pith.science/pith/YSTDJ3PPINB3ZWYROAGAQSOQYT.json","graph_json":"https://pith.science/api/pith-number/YSTDJ3PPINB3ZWYROAGAQSOQYT/graph.json","events_json":"https://pith.science/api/pith-number/YSTDJ3PPINB3ZWYROAGAQSOQYT/events.json","paper":"https://pith.science/paper/YSTDJ3PP"},"agent_actions":{"view_html":"https://pith.science/pith/YSTDJ3PPINB3ZWYROAGAQSOQYT","download_json":"https://pith.science/pith/YSTDJ3PPINB3ZWYROAGAQSOQYT.json","view_paper":"https://pith.science/paper/YSTDJ3PP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1007.1205&json=true","fetch_graph":"https://pith.science/api/pith-number/YSTDJ3PPINB3ZWYROAGAQSOQYT/graph.json","fetch_events":"https://pith.science/api/pith-number/YSTDJ3PPINB3ZWYROAGAQSOQYT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YSTDJ3PPINB3ZWYROAGAQSOQYT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YSTDJ3PPINB3ZWYROAGAQSOQYT/action/storage_attestation","attest_author":"https://pith.science/pith/YSTDJ3PPINB3ZWYROAGAQSOQYT/action/author_attestation","sign_citation":"https://pith.science/pith/YSTDJ3PPINB3ZWYROAGAQSOQYT/action/citation_signature","submit_replication":"https://pith.science/pith/YSTDJ3PPINB3ZWYROAGAQSOQYT/action/replication_record"}},"created_at":"2026-05-18T03:41:02.623960+00:00","updated_at":"2026-05-18T03:41:02.623960+00:00"}