{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6COA4YFQWKLMQCA5XCGOEXEF2X","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":"e8ad3ffd91267a0f8bd5a340c0123e3bed0e62e64973037bfe0a5e4c6c1db317","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-09-01T14:13:13Z","title_canon_sha256":"23e9dab204f5fd81e7937cf95a0e1b4c786207555c9ebf399ec77f8c2cf52b6d"},"schema_version":"1.0","source":{"id":"1509.00304","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.00304","created_at":"2026-05-18T01:15:06Z"},{"alias_kind":"arxiv_version","alias_value":"1509.00304v4","created_at":"2026-05-18T01:15:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.00304","created_at":"2026-05-18T01:15:06Z"},{"alias_kind":"pith_short_12","alias_value":"6COA4YFQWKLM","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6COA4YFQWKLMQCA5","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6COA4YFQ","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:7bc22d775cf579422600ec151b366f6f11e9c1e7f34eb94f5ce2e58755e4995c","target":"graph","created_at":"2026-05-18T01:15:06Z","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 stable holomorphic vector bundles on a compact complex K\\\"ahler manifold and more generally on an orbifold that is equipped with a K\\\"ahler structure. We use the existence of Hermite-Einstein connections in this set-up and construct a generalized Weil-Petersson form on the moduli space of stable vector bundles with fixed determinant bundle. We show that the Weil-Petersson form extends as a (semi-)positive closed current for degenerating families that are restrictions of coherent sheaves. Such an extension will be called a Weil-Petersson current. When the orbifold is of Hodge typ","authors_text":"Georg Schumacher, Indranil Biswas","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-09-01T14:13:13Z","title":"The Weil-Petersson current for moduli of vector bundles and applications to orbifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00304","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":"sha256:643684f56a45cd6e975c21fab65395dabf84954f4b6a5f0b73df7e32c2731006","target":"record","created_at":"2026-05-18T01:15:06Z","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":"e8ad3ffd91267a0f8bd5a340c0123e3bed0e62e64973037bfe0a5e4c6c1db317","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-09-01T14:13:13Z","title_canon_sha256":"23e9dab204f5fd81e7937cf95a0e1b4c786207555c9ebf399ec77f8c2cf52b6d"},"schema_version":"1.0","source":{"id":"1509.00304","kind":"arxiv","version":4}},"canonical_sha256":"f09c0e60b0b296c8081db88ce25c85d5df98e56bbe5ebc48af2fe2ab9f897042","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f09c0e60b0b296c8081db88ce25c85d5df98e56bbe5ebc48af2fe2ab9f897042","first_computed_at":"2026-05-18T01:15:06.762193Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:06.762193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qZDKGfvOOceT7GuSu2W+2AJnv0tRE4X2+l23WHx7grrKDA5YluY6Q2048f4mndhQ69VP9g0EYXZYDaxAS/5vAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:06.762885Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.00304","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:643684f56a45cd6e975c21fab65395dabf84954f4b6a5f0b73df7e32c2731006","sha256:7bc22d775cf579422600ec151b366f6f11e9c1e7f34eb94f5ce2e58755e4995c"],"state_sha256":"bb8ad3318f62e549b736f37f56c36addf3c3a084c780058ecdd7ec101940d54c"}