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We find explicitly the point in the Grassmanian of the 2-component BKP hierarchy (in the sense of Shiota) that corresponds to the total descendant potential. We also prove that the space of tau-functions of Gaussian type is parametrized by the base of the miniversal unfolding of the simple singularity of type $D$."},"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":"1804.07417","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-04-20T01:19:00Z","cross_cats_sorted":["hep-th","math.DS"],"title_canon_sha256":"05f109a3afbe4367b8d147480443aa27c5acfd79b1fa12d6de74a18195077dbe","abstract_canon_sha256":"88e6c5c32d1ee9f62b2982ec243770aa0b4a1380fba513c0518990a40d60cad8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:58.894517Z","signature_b64":"+Duw6aC6A+E/yTIE1rmgBEQcX6y27QTT5TFn+tdvuUHLkkM0d9XaTR8cN1EZ6eNtEOURCxnkvpHPP0gxcs7kCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8248f70bf32a2aef1f35d9e10d59fd995ca5e161944ca3ca46fdac43118cd5d7","last_reissued_at":"2026-05-18T00:17:58.893877Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:58.893877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The 2-component BKP Grassmanian and simple singularities of type D","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.DS"],"primary_cat":"math.AG","authors_text":"Jipeng Cheng, Todor MIlanov","submitted_at":"2018-04-20T01:19:00Z","abstract_excerpt":"It was proved in 2010 that the principal Kac--Wakimoto hierarchy of type $D$ is a reduction of the 2-component BKP hierarchy. 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