{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:2JJKYV2JOF5NIYEHIJNOACEZKV","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":"94abcc41a9c895474630fc8c850dd2fba049f0e5341493d7b3351216866cac18","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-09-05T21:05:27Z","title_canon_sha256":"498f424b50100028a374349d0259afa2a62664c1965e0ed2bc47fa4df570ed17"},"schema_version":"1.0","source":{"id":"1209.1118","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.1118","created_at":"2026-05-18T01:26:11Z"},{"alias_kind":"arxiv_version","alias_value":"1209.1118v1","created_at":"2026-05-18T01:26:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.1118","created_at":"2026-05-18T01:26:11Z"},{"alias_kind":"pith_short_12","alias_value":"2JJKYV2JOF5N","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2JJKYV2JOF5NIYEH","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2JJKYV2J","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:c6faf9d148f1a2f8db730dd7ba13d5193ae01a27d61fd7b46ee551694ec6a61a","target":"graph","created_at":"2026-05-18T01:26:11Z","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 paper we extend some well-known rigidity results for conformal changes of Einstein metrics to the class of generalized quasi-Einstein (GQE) metrics, which includes gradient Ricci solitons. In order to do so, we introduce the notions of conformal diffeomorphisms and vector fields that preserve a GQE structure. We show that a complete GQE metric admits a structure-preserving, non-homothetic complete conformal vector field if and only if it is a round sphere. We also classify the structure-preserving conformal diffeomorphisms. In the compact case, if a GQE metric admits a structure-preser","authors_text":"Jeffrey Jauregui, William Wylie","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-09-05T21:05:27Z","title":"Conformal diffeomorphisms of gradient Ricci solitons and generalized quasi-Einstein manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.1118","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":"sha256:901b142bc4cb0d66559ad6c5bea08f03caa79030c767dc7d1c571b69d7233831","target":"record","created_at":"2026-05-18T01:26:11Z","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":"94abcc41a9c895474630fc8c850dd2fba049f0e5341493d7b3351216866cac18","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-09-05T21:05:27Z","title_canon_sha256":"498f424b50100028a374349d0259afa2a62664c1965e0ed2bc47fa4df570ed17"},"schema_version":"1.0","source":{"id":"1209.1118","kind":"arxiv","version":1}},"canonical_sha256":"d252ac5749717ad46087425ae008995576a63fbb6f70b355c3c5436ad046667b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d252ac5749717ad46087425ae008995576a63fbb6f70b355c3c5436ad046667b","first_computed_at":"2026-05-18T01:26:11.242234Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:11.242234Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BVT1FQqOCjIuHcsWUQmAPjQm9eUlXMLPUdtF54yGKkcp2yLWNpDoR3rX7PumMFWj9YkLtABnqp98sUhwAqVdCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:11.242813Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.1118","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:901b142bc4cb0d66559ad6c5bea08f03caa79030c767dc7d1c571b69d7233831","sha256:c6faf9d148f1a2f8db730dd7ba13d5193ae01a27d61fd7b46ee551694ec6a61a"],"state_sha256":"d596f244877ce1fdff48700664daab9e1a19bda2453e6d4c64d2ab1d10c2ac70"}