{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:BR4QVIF42H73OJYC7MPIN7SA6Q","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2d93d5d355ecdea430f208735da7fe29b7e85ad31e485bce9d80219ba71b33b2","cross_cats_sorted":["math.AG"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.DG","submitted_at":"2014-09-11T00:14:45Z","title_canon_sha256":"3f7116902da34aaff741f4bac446d997f302c1cfc9e2f6a71aebf49d3b49968c"},"schema_version":"1.0","source":{"id":"1409.3280","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.3280","created_at":"2026-05-18T00:14:01Z"},{"alias_kind":"arxiv_version","alias_value":"1409.3280v1","created_at":"2026-05-18T00:14:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.3280","created_at":"2026-05-18T00:14:01Z"},{"alias_kind":"pith_short_12","alias_value":"BR4QVIF42H73","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BR4QVIF42H73OJYC","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BR4QVIF4","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:f55e70dda675f95b4a335fc9a05de0411d45e75dbf79872d5b3860b87590d3a9","target":"graph","created_at":"2026-05-18T00:14:01Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"A hypercomplex manifold $M$ is a manifold equipped with three complex structures satisfying quaternionic relations. Such a manifold admits a canonical torsion-free connection preserving the quaternion action, called Obata connection. A quaternionic Hermitian metric is a Riemannian metric on which is invariant with respect to unitary quaternions. Such a metric is called HKT if it is locally obtained as a Hessian of a function averaged with quaternions. HKT metric is a natural analogue of a Kahler metric on a complex manifold. We push this analogy further, proving a quaternionic analogue of Buch","authors_text":"Gueo Grantcharov, Mehdi Lejmi, Misha Verbitsky","cross_cats":["math.AG"],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.DG","submitted_at":"2014-09-11T00:14:45Z","title":"Existence of HKT metrics on hypercomplex manifolds of real dimension 8"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.3280","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:1f3d9c896e6b03eb0a294c1c59ac344de51de9561a30f4e3a0ab675026db5707","target":"record","created_at":"2026-05-18T00:14:01Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"2d93d5d355ecdea430f208735da7fe29b7e85ad31e485bce9d80219ba71b33b2","cross_cats_sorted":["math.AG"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.DG","submitted_at":"2014-09-11T00:14:45Z","title_canon_sha256":"3f7116902da34aaff741f4bac446d997f302c1cfc9e2f6a71aebf49d3b49968c"},"schema_version":"1.0","source":{"id":"1409.3280","kind":"arxiv","version":1}},"canonical_sha256":"0c790aa0bcd1ffb72702fb1e86fe40f412d7316ec3ea713b9b90b76855df7587","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c790aa0bcd1ffb72702fb1e86fe40f412d7316ec3ea713b9b90b76855df7587","first_computed_at":"2026-05-18T00:14:01.689708Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:01.689708Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Jn4UkfeOMYYDThRjnQPFrywo7DInO6QSrsAAM3Th8Xim/CkCuSogk33tOrA7LvfNh7TUdoQ6C3uEgZdcjQDRDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:01.690438Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.3280","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f3d9c896e6b03eb0a294c1c59ac344de51de9561a30f4e3a0ab675026db5707","sha256:f55e70dda675f95b4a335fc9a05de0411d45e75dbf79872d5b3860b87590d3a9"],"state_sha256":"301bf0d0c5e0ba74a033c4598c8d4b70abd4d485a4deb6f8d23350dc16c45557"}