{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:XSMBTR4WMWR7ODYVUY4EW53DFN","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":"85928da590af192d50cb97f441de3b49e7cb1c0912a28a261b6cd7593f29958a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-02-26T19:18:34Z","title_canon_sha256":"7de9da69eccb40f64de6e5c812ac0ae1e6a8865fc08a7ac83782d237ca4cef10"},"schema_version":"1.0","source":{"id":"1302.6545","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.6545","created_at":"2026-05-18T01:36:26Z"},{"alias_kind":"arxiv_version","alias_value":"1302.6545v2","created_at":"2026-05-18T01:36:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.6545","created_at":"2026-05-18T01:36:26Z"},{"alias_kind":"pith_short_12","alias_value":"XSMBTR4WMWR7","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XSMBTR4WMWR7ODYV","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XSMBTR4W","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:c4294c2c5ddd146db35e3a3350508f67eededcfd62700b68f3cb976931eb0d29","target":"graph","created_at":"2026-05-18T01:36:26Z","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 investigate the Chern-Ricci flow, an evolution equation of Hermitian metrics generalizing the Kahler-Ricci flow, on elliptic bundles over a Riemann surface of genus greater than one. We show that, starting at any Gauduchon metric, the flow collapses the elliptic fibers and the metrics converge to the pullback of a Kahler-Einstein metric from the base. Some of our estimates are new even for the Kahler-Ricci flow. A consequence of our result is that, on every minimal non-Kahler surface of Kodaira dimension one, the Chern-Ricci flow converges in the sense of Gromov-Hausdorff to an orbifold Kah","authors_text":"Ben Weinkove, Valentino Tosatti, Xiaokui Yang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-02-26T19:18:34Z","title":"Collapsing of the Chern-Ricci flow on elliptic surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.6545","kind":"arxiv","version":2},"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:b234e2aecff8d92089efbe55de691b55046e1651480e2df626b8974ec1446a15","target":"record","created_at":"2026-05-18T01:36:26Z","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":"85928da590af192d50cb97f441de3b49e7cb1c0912a28a261b6cd7593f29958a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-02-26T19:18:34Z","title_canon_sha256":"7de9da69eccb40f64de6e5c812ac0ae1e6a8865fc08a7ac83782d237ca4cef10"},"schema_version":"1.0","source":{"id":"1302.6545","kind":"arxiv","version":2}},"canonical_sha256":"bc9819c79665a3f70f15a6384b77632b63502d9ddb4d39dee4239c03ab00692c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bc9819c79665a3f70f15a6384b77632b63502d9ddb4d39dee4239c03ab00692c","first_computed_at":"2026-05-18T01:36:26.076039Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:26.076039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yw0zhZA95VZ33xhfchbfmisM+ekZriaDNlwUjQNRqDGgAZUzSLLYv5Qt+gUX7aulurX9kTcVfSVzcwsk4qrvAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:26.076439Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.6545","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b234e2aecff8d92089efbe55de691b55046e1651480e2df626b8974ec1446a15","sha256:c4294c2c5ddd146db35e3a3350508f67eededcfd62700b68f3cb976931eb0d29"],"state_sha256":"20554192b1e93f6cd26654e0ada71972c8739e0d2d1f0a98bc329f70bc9eb495"}