{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:4QRQB6VZVZNSQN7UBIYXJSQZ35","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":"ca1eae0c2b548ce1919cee051a86248733fb8913ef761cfd01ce2c0b1c0ef0cf","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-12-28T07:18:30Z","title_canon_sha256":"23698f08b90bc9021ce169ed1e3d77467f5e0cefeb1f6ef1d83d9cf362116394"},"schema_version":"1.0","source":{"id":"1112.6073","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.6073","created_at":"2026-05-18T01:32:01Z"},{"alias_kind":"arxiv_version","alias_value":"1112.6073v4","created_at":"2026-05-18T01:32:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.6073","created_at":"2026-05-18T01:32:01Z"},{"alias_kind":"pith_short_12","alias_value":"4QRQB6VZVZNS","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4QRQB6VZVZNSQN7U","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4QRQB6VZ","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:fb2dcfc3b119a900a76d190ae1f300c81803b15bcc7ddaca80e6c7de03c40ab8","target":"graph","created_at":"2026-05-18T01:32:01Z","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 shall use the K\\\"ahler geometry formulation to study the global behavior of the Ricci flow on $R^2$. The geometric feature of our Ricci flow is that it has finite width. Our aim is to determine the limiting metric (which corresponds an eternal Ricci flow) obtained by L.F.Wu. We can use the classification result of Daskalopoulos-Sesum to give a sufficient condition such that the limiting metric of L.F.Wu is the metric of cigar soliton.","authors_text":"I. Witt, Li Ma","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-12-28T07:18:30Z","title":"Stability of cigar soliton"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.6073","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":"sha256:412f067038f59ec83ee5206a79ed114a9537625e4c96828542d983ea681dbe41","target":"record","created_at":"2026-05-18T01:32:01Z","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":"ca1eae0c2b548ce1919cee051a86248733fb8913ef761cfd01ce2c0b1c0ef0cf","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-12-28T07:18:30Z","title_canon_sha256":"23698f08b90bc9021ce169ed1e3d77467f5e0cefeb1f6ef1d83d9cf362116394"},"schema_version":"1.0","source":{"id":"1112.6073","kind":"arxiv","version":4}},"canonical_sha256":"e42300fab9ae5b2837f40a3174ca19df75601d734f0f0dd73957145fe3153ab8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e42300fab9ae5b2837f40a3174ca19df75601d734f0f0dd73957145fe3153ab8","first_computed_at":"2026-05-18T01:32:01.653853Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:01.653853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mN11cttegXsdP/ORkqsrn25mz6nZtEG1k+YxFrdOCekyjKw9kHpM3IZOJDyVn2Wk3fD5HtDNhyo+fwFbpq73AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:01.654457Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.6073","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:412f067038f59ec83ee5206a79ed114a9537625e4c96828542d983ea681dbe41","sha256:fb2dcfc3b119a900a76d190ae1f300c81803b15bcc7ddaca80e6c7de03c40ab8"],"state_sha256":"379b6073936d24bf68303e445e9e213d596578945bd40564824ce1e457ae2ade"}