{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ULGO7OLIKIL7I4O7K64CFQRMN5","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":"b73023d281d80d10f4fb951f39f6eaeb7bb132e42cc5b6c1413f72fbf8d00c30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-01-09T14:17:18Z","title_canon_sha256":"4d4c0a900f2e6e553cab72b83c9f6845762bc0d1a9c56931fb2b6c79a2053b80"},"schema_version":"1.0","source":{"id":"1301.1862","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.1862","created_at":"2026-05-18T00:14:01Z"},{"alias_kind":"arxiv_version","alias_value":"1301.1862v4","created_at":"2026-05-18T00:14:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.1862","created_at":"2026-05-18T00:14:01Z"},{"alias_kind":"pith_short_12","alias_value":"ULGO7OLIKIL7","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"ULGO7OLIKIL7I4O7","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"ULGO7OLI","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:e6fb46d2570c2059a069d0944403117608ef800e2f7c205450a8c020bb0678d3","target":"graph","created_at":"2026-05-18T00:14:01Z","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":"We prove a general criterion to establish existence and uniqueness of a short-time solution to an evolution equation involving \"closed\" sections of a vector bundle, generalizing a method used recently by Bryant and Xu for studying the Laplacian flow in G_2-geometry. We apply this theorem in balanced geometry introducing a natural extension of the Calabi flow to the balanced case. We show that this flow has always a unique short-time solution belonging to the same Bott-Chern cohomology class of the initial balanced structure and that it preserves the Kaehler condition. Finally we study explicit","authors_text":"Lucio Bedulli, Luigi Vezzoni","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-01-09T14:17:18Z","title":"A parabolic flow of balanced metrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.1862","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":"sha256:317c01d253750e5e1032526520e5cebd4ba377dbe2898cf1e2dd7436cad4b1a1","target":"record","created_at":"2026-05-18T00:14:01Z","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":"b73023d281d80d10f4fb951f39f6eaeb7bb132e42cc5b6c1413f72fbf8d00c30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-01-09T14:17:18Z","title_canon_sha256":"4d4c0a900f2e6e553cab72b83c9f6845762bc0d1a9c56931fb2b6c79a2053b80"},"schema_version":"1.0","source":{"id":"1301.1862","kind":"arxiv","version":4}},"canonical_sha256":"a2ccefb9685217f471df57b822c22c6f5adae3ffba50d7cf531f31bb2f7f5c40","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a2ccefb9685217f471df57b822c22c6f5adae3ffba50d7cf531f31bb2f7f5c40","first_computed_at":"2026-05-18T00:14:01.727850Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:01.727850Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xYdbBK5iLzGeQArHLw3LA1SF2JmaaGQYrIjuR8F9eBIZ5COC74BvqJIomZF0OaCpxMf1mNTm/aMhfkZW4KQ6DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:01.728604Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.1862","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:317c01d253750e5e1032526520e5cebd4ba377dbe2898cf1e2dd7436cad4b1a1","sha256:e6fb46d2570c2059a069d0944403117608ef800e2f7c205450a8c020bb0678d3"],"state_sha256":"575e50c6b5ae1e7816be8c67f7ff33c4134899309546058c143b854fa876785d"}