{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OH3KJMDH7M2WSFQNIZSAUUDC5J","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":"a1db06329d6f9064e582a4e15dd1a289a5e84a2e5b3eb3b7408fd80ce37d7f80","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-05-11T13:53:01Z","title_canon_sha256":"43592fd7e3b3499ac81bf15f11c684c01af85be1a325ef8198aa83c0f8595986"},"schema_version":"1.0","source":{"id":"1705.04186","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.04186","created_at":"2026-05-18T00:30:22Z"},{"alias_kind":"arxiv_version","alias_value":"1705.04186v3","created_at":"2026-05-18T00:30:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.04186","created_at":"2026-05-18T00:30:22Z"},{"alias_kind":"pith_short_12","alias_value":"OH3KJMDH7M2W","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OH3KJMDH7M2WSFQN","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OH3KJMDH","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:abdada8dcab309851b76176ae200c3d8ca41bc77c81a6504d390ae799cc3c990","target":"graph","created_at":"2026-05-18T00:30:22Z","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":"We show that the one-loop quantum deformation of the universal hypermultiplet provides a family of complete $1/4$-pinched negatively curved quaternionic K\\\"ahler (i.e. half conformally flat Einstein) metrics $g^c$, $c\\ge 0$, on $\\mathbb R^4$. The metric $g^0$ is the complex hyperbolic metric whereas the family $(g^c)_{c>0}$ is equivalent to a family of metrics $(h^b)_{b>0}$ depending on $b=1/c$ and smoothly extending to $b=0$ for which $h^0$ is the real hyperbolic metric. In this sense the one-loop deformation interpolates between the real and the complex hyperbolic metrics. We also determine ","authors_text":"Arpan Saha, Vicente Cort\\'es","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-05-11T13:53:01Z","title":"Quarter-pinched Einstein metrics interpolating between real and complex hyperbolic metrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.04186","kind":"arxiv","version":3},"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":"sha256:077ba4acbea45398cf12f56ed78a9ea2c3d60b9875c16fad05add1bc615ce8a7","target":"record","created_at":"2026-05-18T00:30:22Z","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":"a1db06329d6f9064e582a4e15dd1a289a5e84a2e5b3eb3b7408fd80ce37d7f80","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-05-11T13:53:01Z","title_canon_sha256":"43592fd7e3b3499ac81bf15f11c684c01af85be1a325ef8198aa83c0f8595986"},"schema_version":"1.0","source":{"id":"1705.04186","kind":"arxiv","version":3}},"canonical_sha256":"71f6a4b067fb3569160d46640a5062ea5ce77b95f1382c265c0ddb8195d1d24f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71f6a4b067fb3569160d46640a5062ea5ce77b95f1382c265c0ddb8195d1d24f","first_computed_at":"2026-05-18T00:30:22.166344Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:22.166344Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mz2R0FRrGLc+j6suS0BDSXGEr6LU6xnk9QmhxJjRFzTZla8Nz7OtNO5rMAhW6kRURq2aHis8o2PASIolOPa1Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:22.167086Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.04186","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:077ba4acbea45398cf12f56ed78a9ea2c3d60b9875c16fad05add1bc615ce8a7","sha256:abdada8dcab309851b76176ae200c3d8ca41bc77c81a6504d390ae799cc3c990"],"state_sha256":"7406c11aa602dd6717eaed734bb61dffd49a10179f2418bc983defbbfba27f45"}