{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:YYRFIZWIDIZCVYL5SJE7YL5U4N","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":"6355b2b270fe0af0034b8bf87a300de66d4a1b33f735b409d5084b9aa1c65460","cross_cats_sorted":["math.MG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2023-07-28T13:38:20Z","title_canon_sha256":"aa6b70b81df54bf2200b882ba5ceb0eb414d32e6f45868f055cf09d7b2f278e3"},"schema_version":"1.0","source":{"id":"2307.15550","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.15550","created_at":"2026-07-05T09:29:23Z"},{"alias_kind":"arxiv_version","alias_value":"2307.15550v2","created_at":"2026-07-05T09:29:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.15550","created_at":"2026-07-05T09:29:23Z"},{"alias_kind":"pith_short_12","alias_value":"YYRFIZWIDIZC","created_at":"2026-07-05T09:29:23Z"},{"alias_kind":"pith_short_16","alias_value":"YYRFIZWIDIZCVYL5","created_at":"2026-07-05T09:29:23Z"},{"alias_kind":"pith_short_8","alias_value":"YYRFIZWI","created_at":"2026-07-05T09:29:23Z"}],"graph_snapshots":[{"event_id":"sha256:7bb265799b64b56c23ed38bcb69cdbf562f2fe1bb03cfc328dbcff7013f80daf","target":"graph","created_at":"2026-07-05T09:29:23Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2307.15550/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we construct an almost negatively $1/4$-pinched Riemannian metric on a class of compact manifolds recently discovered by Stover and Toledo in [17]. It is known that these manifolds are K\\\"{a}hler and not locally symmetric. These are the first known examples of not locally symmetric K\\\"{a}hler manifolds admitting such a metric and, via the result of Hernandez [9] and Yau and Zheng [18], these manifolds cannot admit a negatively quarter-pinched Riemannian metric. This metric is also interesting because it is a generalization to the complex hyperbolic setting of the famous pinched m","authors_text":"Barry Minemyer","cross_cats":["math.MG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2023-07-28T13:38:20Z","title":"K\\\"{a}hler manifolds with an almost $1/4$-pinched metric"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.15550","kind":"arxiv","version":2},"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:cdc2e0b8b30cf6e0645326fffc0f752099d5b1eff04b2a1ff08df6b622fd51e0","target":"record","created_at":"2026-07-05T09:29:23Z","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":"6355b2b270fe0af0034b8bf87a300de66d4a1b33f735b409d5084b9aa1c65460","cross_cats_sorted":["math.MG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2023-07-28T13:38:20Z","title_canon_sha256":"aa6b70b81df54bf2200b882ba5ceb0eb414d32e6f45868f055cf09d7b2f278e3"},"schema_version":"1.0","source":{"id":"2307.15550","kind":"arxiv","version":2}},"canonical_sha256":"c6225466c81a322ae17d9249fc2fb4e366b739c8ec031b7ab8d774f2838ccb75","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c6225466c81a322ae17d9249fc2fb4e366b739c8ec031b7ab8d774f2838ccb75","first_computed_at":"2026-07-05T09:29:23.853204Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:29:23.853204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iqGIxpw8uDy2mm7wE7D7FzcC0c6ZXcvWOCbGVOL3Tyk0TmV+pijdbcQsIgXQ+twIXx3/uiNMnz4Y+FJtbGQaDw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:29:23.853788Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.15550","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cdc2e0b8b30cf6e0645326fffc0f752099d5b1eff04b2a1ff08df6b622fd51e0","sha256:7bb265799b64b56c23ed38bcb69cdbf562f2fe1bb03cfc328dbcff7013f80daf"],"state_sha256":"5fab6a5d5f24234a1998ce3ea93c72e31e1d273c16ba013343d15a5d54298d82"}