{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:6WWV6OYOO22K2RM3YULCCGURNM","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":"1a25ec5065324fc467c8e4faa3fe8e1dfa2e6c33ee6014d58701976fc644d4be","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-12-17T04:18:59Z","title_canon_sha256":"6317b27c4efbcecba7940b01fa8ab3509091597a36697aeabb13d8ffce3a93c7"},"schema_version":"1.0","source":{"id":"1712.06055","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.06055","created_at":"2026-05-18T00:27:51Z"},{"alias_kind":"arxiv_version","alias_value":"1712.06055v1","created_at":"2026-05-18T00:27:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.06055","created_at":"2026-05-18T00:27:51Z"},{"alias_kind":"pith_short_12","alias_value":"6WWV6OYOO22K","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6WWV6OYOO22K2RM3","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6WWV6OYO","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:22cf5deca4fc0fac5bedebeb74439f2c7f42ca4154bd45d011f309c77ef66782","target":"graph","created_at":"2026-05-18T00:27:51Z","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":"English translation of \"Solitony Ricciego\" (Wiadomo\\'sci Matematyczne 48, 2012, no. 1, pp. 1-32). Despite the general-sounding title, the text covers just a few narrow topics: Perelman's proof of the fact that compact Ricci solitons are of the gradient type, and a detailed unified description of Page's and Berard Bergery's Einstein manifolds on the one hand, and Koiso's and Cao's K\\\"ahler-Ricci solitons on the other, as the Ricci solitons arising via conformal changes from certain special K\\\"ahler manifolds.","authors_text":"Andrzej Derdzinski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-12-17T04:18:59Z","title":"Ricci solitons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.06055","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":"sha256:25e718db5470d2db4dbaca1e875ebdbd73706c5f15e8a659dade5edcacb12166","target":"record","created_at":"2026-05-18T00:27:51Z","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":"1a25ec5065324fc467c8e4faa3fe8e1dfa2e6c33ee6014d58701976fc644d4be","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-12-17T04:18:59Z","title_canon_sha256":"6317b27c4efbcecba7940b01fa8ab3509091597a36697aeabb13d8ffce3a93c7"},"schema_version":"1.0","source":{"id":"1712.06055","kind":"arxiv","version":1}},"canonical_sha256":"f5ad5f3b0e76b4ad459bc516211a916b212a6f02588e0748dbe6ebbe59d9a7fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f5ad5f3b0e76b4ad459bc516211a916b212a6f02588e0748dbe6ebbe59d9a7fe","first_computed_at":"2026-05-18T00:27:51.175234Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:51.175234Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vSfK2Bu0QcewUPHs4CuWzhN5BJsMzlBOkCmF+IAKMfb5shWR/ArzL8OvVTMDg0QqZscBu5qQfLzPg1LCsXMVDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:51.175903Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.06055","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25e718db5470d2db4dbaca1e875ebdbd73706c5f15e8a659dade5edcacb12166","sha256:22cf5deca4fc0fac5bedebeb74439f2c7f42ca4154bd45d011f309c77ef66782"],"state_sha256":"d5cb6b155cc7a5546b588f288791fa1c19b8a86e1626aa84a8e9a8c0a4b2b551"}