{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TMYVUR52UOSNHEZA5IBRY45XAR","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":"a73f383167bb6eecc35cfe539a9a6d18e355cde54dcef329344fc3b24275d582","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-09-24T17:03:05Z","title_canon_sha256":"012e2f74a895f9ad9da1dd85f2f1999ac1cc2800379a383001e6ba4f5f9eedde"},"schema_version":"1.0","source":{"id":"1309.6252","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.6252","created_at":"2026-05-18T01:12:36Z"},{"alias_kind":"arxiv_version","alias_value":"1309.6252v4","created_at":"2026-05-18T01:12:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.6252","created_at":"2026-05-18T01:12:36Z"},{"alias_kind":"pith_short_12","alias_value":"TMYVUR52UOSN","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TMYVUR52UOSNHEZA","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TMYVUR52","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:e481b7f543aa0c6d28543278d1df64eb98985197cda915fd772cba92c99b0272","target":"graph","created_at":"2026-05-18T01:12:36Z","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 study the Ricci flow on complete Kaehler metrics that live on the complement of a divisor in a compact complex manifold. In earlier work, we considered finite-volume metrics which, at spatial infinity, are transversely hyperbolic. In the present paper we consider three different types of spatial asymptotics: cylindrical, bulging and conical. We show that in each case, the asymptotics are preserved by the Kaehler-Ricci flow. We address long-time existence, parabolic blowdown limits and the role of the Kaehler-Ricci flow on the divisor.","authors_text":"John Lott, Zhou Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-09-24T17:03:05Z","title":"Ricci flow on quasiprojective manifolds II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.6252","kind":"arxiv","version":4},"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":"sha256:0490694d1022440fcd84fd00ae4ad3ed70e862815d38742e11e2e10b3647145a","target":"record","created_at":"2026-05-18T01:12:36Z","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":"a73f383167bb6eecc35cfe539a9a6d18e355cde54dcef329344fc3b24275d582","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-09-24T17:03:05Z","title_canon_sha256":"012e2f74a895f9ad9da1dd85f2f1999ac1cc2800379a383001e6ba4f5f9eedde"},"schema_version":"1.0","source":{"id":"1309.6252","kind":"arxiv","version":4}},"canonical_sha256":"9b315a47baa3a4d39320ea031c73b7044fed24cc29034ef07772f62946f47b3f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b315a47baa3a4d39320ea031c73b7044fed24cc29034ef07772f62946f47b3f","first_computed_at":"2026-05-18T01:12:36.710660Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:36.710660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7WRN2xLo/u9tJGzIrnocnwFe7es2AA+a1FeP7sho4IPU5JNkIt8Bi7ikLpfKcP7MHtscsJCP9oixlmLcRW46Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:36.711270Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.6252","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0490694d1022440fcd84fd00ae4ad3ed70e862815d38742e11e2e10b3647145a","sha256:e481b7f543aa0c6d28543278d1df64eb98985197cda915fd772cba92c99b0272"],"state_sha256":"602838aec5dd0b141a0508a1dc74dc729daff562ab5e367676da175bb969f8ff"}