{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:6AGRHUI3SPEVF7OT52VXVBGOJJ","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":"09f3ee8a7fa7815365cb4e6215acf78155ca3c0b5b867ad786c4411937b60fd2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-04-02T16:56:09Z","title_canon_sha256":"34c4900fe3d8fc919c96dc436305c32c79745e397c1856adde57b4f377b749ec"},"schema_version":"1.0","source":{"id":"0804.0397","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0804.0397","created_at":"2026-07-04T15:37:13Z"},{"alias_kind":"arxiv_version","alias_value":"0804.0397v2","created_at":"2026-07-04T15:37:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.0397","created_at":"2026-07-04T15:37:13Z"},{"alias_kind":"pith_short_12","alias_value":"6AGRHUI3SPEV","created_at":"2026-07-04T15:37:13Z"},{"alias_kind":"pith_short_16","alias_value":"6AGRHUI3SPEVF7OT","created_at":"2026-07-04T15:37:13Z"},{"alias_kind":"pith_short_8","alias_value":"6AGRHUI3","created_at":"2026-07-04T15:37:13Z"}],"graph_snapshots":[{"event_id":"sha256:3e008f0f0a5b1bc7a3d96333a1444e6dbfa12eb12a1e45677b196b3fe019040d","target":"graph","created_at":"2026-07-04T15:37:13Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0804.0397/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"On a compact complex manifold we study the behaviour of strong K\\\"ahler with torsion (strong KT) structures under small deformations of the complex structure and the problem of extension of a strong KT metric. In this context we obtain the analogous result of Miyaoka extension theorem. Studying the blow-up of a strong KT manifold at a point or along a complex submanifold, we prove that a complex orbifold endowed with a strong KT metric admits a strong KT resolution. In this way we obtain new examples of compact simply-connected strong KT manifolds.","authors_text":"Adriano Tomassini, Anna Fino","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-04-02T16:56:09Z","title":"Blow-ups and resolutions of strong K\\\"ahler with torsion metrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.0397","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:e8f414f4a16b58904b11d0eed146f9e0b906a1be555defb9720fe43defcb50cf","target":"record","created_at":"2026-07-04T15:37:13Z","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":"09f3ee8a7fa7815365cb4e6215acf78155ca3c0b5b867ad786c4411937b60fd2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-04-02T16:56:09Z","title_canon_sha256":"34c4900fe3d8fc919c96dc436305c32c79745e397c1856adde57b4f377b749ec"},"schema_version":"1.0","source":{"id":"0804.0397","kind":"arxiv","version":2}},"canonical_sha256":"f00d13d11b93c952fdd3eeab7a84ce4a444f9934a02d6f0ee8a87fb2a80e3b04","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f00d13d11b93c952fdd3eeab7a84ce4a444f9934a02d6f0ee8a87fb2a80e3b04","first_computed_at":"2026-07-04T15:37:13.577897Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:37:13.577897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aBotmGen/4teoQbebEINplRvgum5kJBHDvUHs+jeHFoQ389TPXpnlyn7ezDzSMAM1xY/jAWpLTbqA3iONFiIAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:37:13.578274Z","signed_message":"canonical_sha256_bytes"},"source_id":"0804.0397","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8f414f4a16b58904b11d0eed146f9e0b906a1be555defb9720fe43defcb50cf","sha256:3e008f0f0a5b1bc7a3d96333a1444e6dbfa12eb12a1e45677b196b3fe019040d"],"state_sha256":"6a28cdfd0d8d9b0a0400d1f357d907c328c2122f940d52dca635a14d4dccc481"}