{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:XTDEAC74DHG353YTSSTBDUDKG3","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":"3823494fa4473d1609b80d92cbb39dfe8c8e6af269e6338494d31059a67f7204","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-10-29T15:17:58Z","title_canon_sha256":"6883c6049871d10d5a89c6ca128d5f91f6782f810e43f79160c44241d9033f66"},"schema_version":"1.0","source":{"id":"1710.10627","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.10627","created_at":"2026-05-18T00:31:46Z"},{"alias_kind":"arxiv_version","alias_value":"1710.10627v1","created_at":"2026-05-18T00:31:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.10627","created_at":"2026-05-18T00:31:46Z"},{"alias_kind":"pith_short_12","alias_value":"XTDEAC74DHG3","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"XTDEAC74DHG353YT","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"XTDEAC74","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:f1b936d3b7584c457aa160b08dfe96f048e3b170dec1acbfefdec5f42178dc15","target":"graph","created_at":"2026-05-18T00:31:46Z","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":"In this article, we introduce the notion of star-Ricci tensors in the real hypersurfaces of complex quadric $Q^m$. It is proved that there exist no Hopf hypersurfaces in $Q^m,m\\geq3$, with commuting star-Ricci tensor or parallel star-Ricci tensor. As a generalization of star-Einstein metric, star-Ricci solitons on $M$ are considered. In this case we show that $M$ is an open part of a tube around a totally geodesic $\\mathbb{C}P^\\frac{m}{2}\\subset Q^{m},m\\geq4$.","authors_text":"Xiaomin Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-10-29T15:17:58Z","title":"Real hypersurfaces of complex quadric in terms of star-Ricci tensor"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10627","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:f7a34cc71aee83f04df0924db0d2f90953a102c998f2c28bd1cbde4ec535a81f","target":"record","created_at":"2026-05-18T00:31:46Z","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":"3823494fa4473d1609b80d92cbb39dfe8c8e6af269e6338494d31059a67f7204","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-10-29T15:17:58Z","title_canon_sha256":"6883c6049871d10d5a89c6ca128d5f91f6782f810e43f79160c44241d9033f66"},"schema_version":"1.0","source":{"id":"1710.10627","kind":"arxiv","version":1}},"canonical_sha256":"bcc6400bfc19cdbeef1394a611d06a36fbee3ab57fcf85cc5d0e04c1c3dd5556","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bcc6400bfc19cdbeef1394a611d06a36fbee3ab57fcf85cc5d0e04c1c3dd5556","first_computed_at":"2026-05-18T00:31:46.916533Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:46.916533Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xrpstC0/nsqTfD75+VpM/+h3UKp2fu+YDf5b76hA9rT1j0JvLLJAWqT+/5UKQmJ89KsAfUr+IVhygDHSWW5rCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:46.917165Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.10627","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7a34cc71aee83f04df0924db0d2f90953a102c998f2c28bd1cbde4ec535a81f","sha256:f1b936d3b7584c457aa160b08dfe96f048e3b170dec1acbfefdec5f42178dc15"],"state_sha256":"180028840498bb4c8f65955ad2b378f87729b64914cc6ad135ccc3554b2a5ef7"}