{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ZGA2SJHVK76SFF65JPR64L37R3","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":"e52eae94ff48fca5584313ee28487397b3a7b7de0045b2a96ff453ca548bc09c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-04-14T09:31:34Z","title_canon_sha256":"9972f5deb872cc414b70709646aa07eaa639ba547ad5fcd4689054af4eb45181"},"schema_version":"1.0","source":{"id":"1404.3504","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.3504","created_at":"2026-05-18T02:54:15Z"},{"alias_kind":"arxiv_version","alias_value":"1404.3504v1","created_at":"2026-05-18T02:54:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.3504","created_at":"2026-05-18T02:54:15Z"},{"alias_kind":"pith_short_12","alias_value":"ZGA2SJHVK76S","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZGA2SJHVK76SFF65","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZGA2SJHV","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:9479c3b4c16aeca05d40cb5f5c9cf2c2d10aacbb828ec360a786fc9049643650","target":"graph","created_at":"2026-05-18T02:54:15Z","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 provide stacky generalizations of classical gauge-theoretic results inspired by Donaldson, the Uhlenbeck-Yau theorem and variants due to Bando and his collaborators. Moreover, we show an application of this machinery in the study of ALE spaces.","authors_text":"Francesco Sala (IHES), Philippe Eyssidieux (IF)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-04-14T09:31:34Z","title":"Instantons and framed sheaves on K\\\"ahler Deligne-Mumford stacks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.3504","kind":"arxiv","version":1},"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:ab803b98902b5a6a6ce3750c6cd72bfdd5c8603e9d5ea92ce77cf666a90b0fc5","target":"record","created_at":"2026-05-18T02:54:15Z","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":"e52eae94ff48fca5584313ee28487397b3a7b7de0045b2a96ff453ca548bc09c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-04-14T09:31:34Z","title_canon_sha256":"9972f5deb872cc414b70709646aa07eaa639ba547ad5fcd4689054af4eb45181"},"schema_version":"1.0","source":{"id":"1404.3504","kind":"arxiv","version":1}},"canonical_sha256":"c981a924f557fd2297dd4be3ee2f7f8edf018e7c844370c45543a04fac168fc0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c981a924f557fd2297dd4be3ee2f7f8edf018e7c844370c45543a04fac168fc0","first_computed_at":"2026-05-18T02:54:15.063917Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:15.063917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p8Fj+tXuK5r+wJ+XrMw7gcNaM4mSjhDBVrN0i5J0o2XYFD/gIEfbisyFrO3fLIU9VK3XJvJpXDro7+9ROcq3Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:15.064343Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.3504","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab803b98902b5a6a6ce3750c6cd72bfdd5c8603e9d5ea92ce77cf666a90b0fc5","sha256:9479c3b4c16aeca05d40cb5f5c9cf2c2d10aacbb828ec360a786fc9049643650"],"state_sha256":"9fc666daa596d7daf95c1432c9b4483e0b5850b0628e0f9f1c5596c461dac638"}